diff --git "a/data/dm_maths/full_data_1/10167_11255.jsonl" "b/data/dm_maths/full_data_1/10167_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10167_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -3*s = -2*t - 26, 0 = s - 4*t - 6 - 6. Suppose 23*g = 19*g + s. Let f be (g - 0)*3\/12*-2. Which is greater: f or 1\/129?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -26*f - 4. Let h be n(1). Let c be 23\/6 + (-5)\/h. Put 2, 2\/5, c, -5 in decreasing order.\nAnswer: c, 2, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - g + 1. Let a(d) = -20*d**3 + 2*d + 5. Let j(q) = -a(q) + 2*m(q). Determine j(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Let q = -4715 + 4717. Solve 5*s + q*k - 16 = -l*k, -4*s + k + 5 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - 515*g + 1534*g - 1019*g.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 22 = 4*g, 180 = -g + 2*t + 173 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/49696 and 23\/89936.\nAnswer: 279341216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -9, -2*u + 5 = 3*k + 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -2454?\nAnswer: 53988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7, 5, -0.2, 4, 3, -936, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 12*x**3 - 3*x**2\/2 + 5*x. Is y(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000428 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -38. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141680 and 3207120?\nAnswer: 35278320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0184904278 rounded to 4 decimal places?\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 10*t**2 - 10. Let u be z(-10). Let w be u\/(-4)*(-50)\/250. Sort w, 1, 24.\nAnswer: w, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Suppose c*o + 8 = -0. Find the common denominator of -17\/8 and o\/(-4)*49\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3345, -6693, -10041?\n\"Answer: -3348*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1892671744.\nAnswer: 2, 17, 67, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + s + 4)*(-11 + 33 - 8 - 3 + 1 + 1 + 3 - 1 + 0 + (-1 - 1 + 0)*(3 - 1 - 4) - 2 + 2 + 1)*(-3*s - 3 + 3).\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1097.518ng?\nAnswer: 0.000000001097518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -835995.0001 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 38849981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/40*(14\/(-70))\/((-330)\/50 + 6)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 1. Let d(f) = -4 + 3 - 7*f + 2*f. Let o be 15\/(-3)*12\/15. Calculate o*v(r) + 3*d(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -11.\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 45 = -c - i, -2*i = 4*c - 194. What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76821.8 greater than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by (4 - 4\/8)\/(1\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5378, 5387, 5396?\n\"Answer: 9*r + 5369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**2. Let i(g) = 8*g + 2. Let m(a) = 9*a + 3. Let p(y) = 3*i(y) - 2*m(y). What is f(p(c))?\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -1\/4, -3, 7, -2, 22, 542?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((4 - 1) + (6 + -6 - 7))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i - 662*i**2 - 17*i - 14*i + 39*i.\nAnswer: -662*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -333.1 - -329.1. Sort -18, -1\/3, -0.1, -2\/3, b in descending order.\nAnswer: -0.1, -1\/3, -2\/3, b, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465402 is divided by 116349.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**3 - 6*p**2 - 8. Let c(r) = -4*r**3 + r**2 - 6*r + 9. Let s(q) = 7*q**3 - 3*q**2 + 11*q - 18. Let i(x) = 11*c(x) + 6*s(x). Give 6*i(m) - 7*v(m).\nAnswer: 9*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1130 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 779.5583 kilograms in micrograms?\nAnswer: 779558300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -1\/4*r**2 - 1\/3*r**3 + 65 + r + 1\/8*r**4. Factor v(l).\nAnswer: (l - 2)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.7 - 44. Let w(f) = 5*f - 6. Let x be w(2). Which is the third biggest value? (a) 2 (b) q (c) -3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31480\/4959 - -737\/114. Let z = 1\/174 - v. Sort z, 3\/4, -3 in decreasing order.\nAnswer: 3\/4, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-20))\/((-8)\/((-80)\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/13 - 612*y**2\/13 + 62424*y\/13 - 2122416\/13 = 0. Calculate y.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/99*6\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16566 = -6*a + 12*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72494.585 and -3?\nAnswer: -217483.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c = 16. Suppose 17 = c*b - 3*b - 2*l, 0 = 4*l - 20. Calculate the lowest common multiple of 72 and b.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - j. Let d = 128 + -125. Let w(q) = -q**2 + 3*q. Let o(z) = d*l(z) + w(z). Let x(y) = 21*y**2. What is o(x(i))?\nAnswer: 2205*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -2. Let z be n - (-1 - (0 + 2)). Let s(g) = -g + g - g**2 + z*g. Let m(y) = -2*y. Calculate m(s(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1)*(-4 - 3 + 2).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**7\/504 + 5*a**4\/6 + 17*a**2. Let x(s) be the second derivative of l(s). Let n(f) = 10*f. What is x(n(k))?\nAnswer: -500*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a03 (base 15) to base 6.\nAnswer: -14233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/174 and -83\/48?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 3*z + 5. Determine p(7).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-9))\/(2\/12). Suppose v = -d*v. Suppose v*p = 2*p - 20. Solve p = 2*g - 0*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -11. Suppose m - 9 = -2*m. Solve -h*t - 2*c = -20, -m*t + t + 10 = 5*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72023 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 21.5. What is the closest to -1 in -4, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1195214 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 482.3 (b) 3\/4 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*f**3 - 11*f**3 + 91*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (2 - 16\/(-2)). Let n(w) = 2*w + 7 - 10*w - 2 + w**2. Let q be n(v). Which is the smallest value? (a) 2 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h**3 - 6*h - 29. Let y(q) = -4*q**3 + 3*q + 18. Let x(z) = 3*o(z) + 5*y(z). What is x(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ec (base 15) to base 6.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -2*s**3\/3 - 163*s**2\/2 + 142*s - 353. Differentiate j(t) wrt t.\nAnswer: -4*t - 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-328)\/(-123)*(-18)\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -14960\nAnswer: 134640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 1)*(-20*g - 4*g + 5*g) + 2*g + 3*g + 2*g + (4 + 1 - 3)*(1 + g - 1) in the form p*g + m and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7132 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: Which is the third biggest value? (a) 0.3 (b) 1 (c) 20398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234419314*h**5 + 97*h**2 + 1754795 wrt h.\nAnswer: -14065158840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 97*g**2 + 427*g + 15229. Is l(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -4. Suppose 6*g - 5*n = 3*g, 0 = -2*g - 3*n. Are g and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -2 + 78*b + 1\/3*b**3 + 0*b**2. Let n(o) = 9*o. Give n(k(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00034595 rounded to 5 decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*i + 27, -3*i + 3 = -4*v - 3. Suppose 3*t - i*t = 6. Let m(k) = -5*k. List the prime factors of m(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 + 2*s**4 + 4*s**3 - 3*s**3)*(-3*s - 2*s + 2*s) + 38*s**3 - s**5 - 38*s**3.\nAnswer: -7*s**5 - 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 - 11368008*u + 8076975368004 = 0. Calculate u.\nAnswer: 1421001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Suppose 1 = 5*d + 6. Suppose -6 + 3 = -j. Let r(g) = 4*g + 1 - 1. Calculate d*r(s) + j*w(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4357*a + 217759. Calculate v(50).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-22) + (-1290)\/(-440) + -3. What is the second biggest value in -4\/5, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x + 10. Suppose 5*l = -4*w + 87, -3*w + 2*w + x*l + 53 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*i = -15, -4*h = 4*i - 11 - 13. Let p(s) = -1252 + 1273 - 2*s + s. Let z be p(h). Solve -b + z = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1364 and 1076878?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8578263 - -7.\nAnswer: -8578256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 276710 to the power of 1\/2, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*-0.306\nAnswer: -0.3978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 810 and 138.\nAnswer: 18630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-72) + (-10)\/15.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*c - 13, -7*c = -3*k - 10*c + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3418 - -3389.05. Let j = 28.961 - -0.039. Let z = c + j. What is the closest to z in 0.5, 2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) -4 (b) 110 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -240*((-5758)\/(-3))\/((-22)\/(-110)). Round q to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)*r)\/(r*r**10))\/(r\/((r*r\/(r\/((((r\/r**(-2\/3))\/r)\/r*r)\/r*r)))\/r)*r)**(-22) assuming r is positive.\nAnswer: r**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1678156663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/11 and -47\/5017730?\nAnswer: 55195030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 19*a**2 - 9*a - 6. Let l be w(10). Solve -3*b = -l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 42 + 2 = -o, -5 = 2*b - 5*o. Let h = -8 - b. Calculate the remainder when 42\/(4 - 2) + -1 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyhdt. Give prob of picking 1 t and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 3*a = -3*g + 35, 5*g + 5*a = -75. Let c = g - -16. Suppose -2*q = -29 - 3. Calculate the remainder when q is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(35\/(-4))*20\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14635, -2301, 18255, 47033, 84033?\n\"Answer: 4111*r**2 + r - 18747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.4, -5, 0.4, 1\/2.\nAnswer: -5, -1.4, 0.4, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 24999*p**3 + 2*p**2 + 3*p - 6. Let r be k(2). Round r to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 4:07 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (14\/210)\/(9*(-34)\/850)\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*n - 5*m - 12, 0 = -5*m - 5. Solve -v = -n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/12 - v**3 - 5*v**2\/2 - 3*v. Let f be o(-5). Which is the nearest to 0.1? (a) -3 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30555?\nAnswer: 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 4 (c) 179489 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 555075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*g + 16543 = -339*g - 16401 - 1456 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 251*y - 1833. Determine p(8).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqv when three letters picked without replacement from {g: 1, z: 1, v: 1, q: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*d**3 - 11*d**2*w**2 + d - 364*w**2 - 6 wrt d.\nAnswer: 462*d**2 - 22*d*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146470.\nAnswer: 2, 5, 97, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4698722.8 rounded to the nearest 1000?\nAnswer: 4699000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -26.32, 5470, 21 in descending order.\nAnswer: 5470, 21, -26.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 429 + 812 - 1617*u**3 + 264 + 25 wrt u?\nAnswer: -4851*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3113174895.\nAnswer: 3, 5, 17, 41, 191, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-5*(sqrt(100) + (sqrt(100) + sqrt(100)*-2 - sqrt(100))))\/sqrt(10))\/(sqrt(242) - (2*-1*sqrt(242) + sqrt(242))))**2.\nAnswer: -125\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 5. Suppose 470*o - 385 = 1025. Let s(g) be the second derivative of -g**5\/20 - g**3\/3 - 2*g**2 - g. What is o*s(l) - 2*h(l)?\nAnswer: -3*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42701 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 z = -7248 - -12278. What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2082, -2089, -2100, -2115, -2134?\nAnswer: -2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578, -1135, -1740, -2417, -3190, -4083, -5120?\nAnswer: -6325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 73*l**2 - 3*l + 3. What is the remainder when 157 is divided by h(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -28. Suppose 0 = 2*m + u*m - 1012. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 3, m: 1, d: 2}. What is prob of picking 1 m and 2 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - k - 6*k + 3*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -2\/3*w**3 - 1\/60*w**6 - 15*w**2 - 5\/24*w**4 + 0 + 0*w - 1\/12*w**5. Give l(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530090 divided by -5?\nAnswer: -506018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 + 9*q + 9. Let d be 81\/(-42)*(-2)\/3*7. Let j(h) = -3*h**2 - 4*h - 4. Give d*j(k) + 4*b(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*j - 3, -5*j = -6*w + w + 10. Let x = -16.9 - -17.9. What is the closest to x in -3, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 81387.03 decades?\nAnswer: 813.8703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 12119 + 1341. Let s be k*(-9)\/(-17312) - -2. Let p = 22\/541 + s. What is the common denominator of p and -21\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 25256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4502562 and 1431.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1745 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 11*m - 5*m + 30.\nAnswer: 2*m + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 1, b: 1, c: 1, m: 1, n: 1}. What is prob of sequence hni?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*w + 49, -4*w = -8*h + 3*h + 340. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggngklggglggg. What is prob of sequence lkgn?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 6*b**2 + 11*b + 53. Let v be x(9). Suppose 314 = 3*s - 328. Let i = v + s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.1 + -4.7. Sort 4, -1, d, -2\/7 in decreasing order.\nAnswer: 4, d, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 2.06. Let y = 17.26 + -17.46. Which is the second smallest value? (a) y (b) -2\/37 (c) 4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z - 62. Determine r(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2080 and 2082 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -47?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539))**2*-1 + (sqrt(11) - sqrt(176)*-6)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98678 is divided by 4929?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 15. Let m be v(18). Solve -q = -m*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43005 at most as big as 43005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1207 + 9641\/9. Let l = q + 136. Let r = -157557 + 157553. Which is the second smallest value? (a) -2\/13 (b) l (c) r (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**1))**(28\/9))**28 assuming b is positive.\nAnswer: b**(784\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*59840.\nAnswer: -35904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5583 and 190011822.\nAnswer: 5583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.47221 litres in millilitres?\nAnswer: 5472.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 + -0.01. Let l = b + -7.1. Is -1\/4 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfffffx. What is prob of picking 2 f?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7.81 - 239.783\nAnswer: -231.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96189094 by -347.\nAnswer: 277202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*l - 5770 = -288, 0 = 3*n - 2*l - 3286. Calculate the remainder when n is divided by 197.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -19. What is the third derivative of -p*m**5 + 22*m**5 - 13*m + 13*m - 16*m**2 wrt m?\nAnswer: 1020*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.2. Let q = -0.25 - 0.05. Let z = q - m. Are -2\/7 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2 = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6550, -14126, -21704, -29284, -36866, -44450, -52036?\n\"Answer: -f**2 - 7573*f + 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -37*b + 2. Suppose 32 = -5*p + o - 5, -4*p + 3*o = 23. Let y = p - -28. What is the remainder when k(-1) is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10446 and 5041936?\nAnswer: 15125808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 83106*h.\nAnswer: 3*h*(h - 27702)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35926482 take away -1.04588?\nAnswer: 35926483.04588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172 + -30. Let x = -192 - h. What is the lowest common multiple of x and 213?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -4, -7 in descending order.\nAnswer: 10, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159942952 divided by 281?\nAnswer: 569192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2 and 25\/23222.\nAnswer: 23222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t = 62. Suppose 11 = -5*y + t. Suppose 0*h = -y*h + 28. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7377.50096 + -7378. Let v = 3.5 - 4. Let a = v - k. Round a to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -3, 0.1, -10?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g = -5*c + 27, 4*g = 16. Let t be (3 - 2 - 3) + -1. Does 9 divide (-2 - t) + c + 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-140 + 0 + 72).\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**2. Let r(h) be the first derivative of 11*h**3\/3 - 403. What is r(v(f))?\nAnswer: 539*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -3369654?\nAnswer: -3369653.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 5*h**6\/6 - 9*h**5\/5 + 6*h**4\/5 - 4*h**3\/15 + 15. Factor t(o).\nAnswer: o**2*(o - 1)*(5*o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1989027797+-0.0428\nAnswer: 1989027796.9572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/120 - z**4\/24 - z**2. Suppose 0 = -4*a - 0*d - 4*d + 12, -3 = 3*d. Let q(b) = 3*b**3 + 2*b. What is a*v(k) + q(k)?\nAnswer: -k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*y**5 + 0*y**2 + y**3 - 1\/2*y + 0 + 0*y**4.\nAnswer: -y*(y - 1)**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 12355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.763 + -0.237. Sort 8, 0.1, h in decreasing order.\nAnswer: 8, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 2*i + 1. Let n = 54 - 55. Let w be p(n). Solve -3*l + 6*l = -3*m - 3, l + 2*m - 1 = w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7994?\nAnswer: 2, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/4 + 1\/2. Suppose 0 = 2*k - 22*k + 140. Suppose 2 = t + 2*s - 2, k = 5*t - 3*s. Which is the fourth biggest value? (a) 0.4 (b) t (c) h (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1 - (1 + -4) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 2*v + 12 = -16*m, -m + 3*v - 16 = 0. Let b(c) be the third derivative of -c**6\/120 - c**5\/15 + c**4\/12 - 2*c**3\/3 - c**2. Calculate b(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 + 2256444*y**3 + 9025736*y**2 - 9025776*y - 36102976 = 0 for y.\nAnswer: -1128218, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 6. Let r(n) = -n**3 + 4*n**2. Let h be r(4). Let a be (0\/5)\/(h - 1). Determine q(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -86?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19444 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33 + 40)*120\/14. Suppose -5*d = 2*y - 51, d + 22 = 5*y - 4*y. Suppose -w + c = -y. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2 - 2)*2. Let q(z) = 8*z**2 + 1. Does 3 divide q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 426 + 121 = -i, -4*i = s - 1241. Solve -i = -14*d - 228 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -25, -42, -59?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 4:35 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 3*x + 2. Suppose 0 = 4*d + 5*w - 12, -5*d + d - 2*w + 12 = 0. List the prime factors of j(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 41*t = -23 + 75. Let s(z) = 3*z**3 + 2*z**2 + 2*z + 1. Let r be s(-1). Put 2, 5, t, r in decreasing order.\nAnswer: 5, 2, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 6, 4 in descending order.\nAnswer: 6, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3925210727.\nAnswer: 41, 95736847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 24*x + 673. What is y(17)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1913, -1961, -2057, -2213, -2441?\nAnswer: -2753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 3\/5 (b) 0 (c) -0.14 (d) -3 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982236.\nAnswer: 2, 3, 81853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-2 - 0) - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 639892980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-126))\/((-2)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 339 - 338.9662. What is f rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-54))\/((-1)\/10)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516178?\nAnswer: 2, 13, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/18)\/((-10)\/90*3). Solve -5*r = -2*t + 25, 0 = -3*t - 3*r + 4*r + b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 4)\/(0 + 1). Let w(g) = -g**3 + 4*g**2 + 11*g + 3. Let b be w(6). Is b < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.2. Let q = l + -1. Let p be -1 + 5\/4 - 0. Which is the closest to p? (a) 3 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/270 and -22\/459.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 713 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 453, 80, 0, -4, -8 in ascending order.\nAnswer: -8, -4, 0, 27, 80, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 7*w**2 - 7*w + 2. Let o be c(5). Calculate the highest common divisor of 68 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-369)\/205*(-10)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6063b + -72?\nAnswer: 60599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**3 + h + 3*h + 368 - 366 in the form n*h**2 + c*h**3 + t*h + a and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 442 + -11324312244?\nAnswer: -11324311302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*q = -109*q + 64. Let h(k) = k**2 + 36*k + 128. Let x be h(q). Which is smaller: x or -3\/37?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*t + 518 + 1097. Suppose -2*f = -5*r + 152 + 297, -258 = -3*r + 5*f. Suppose -r*m = -t*m. Which is bigger: m or -9\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280 - 27*j - 280)*(0 - 2 - 1)*(7 - 2 - 1).\nAnswer: 324*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(931) - (-2 + sqrt(931) + 0 - sqrt(931))) + 2*(sqrt(931) + -1 + sqrt(931)))**2)*-2.\nAnswer: -46558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -510ac30?\nAnswer: 510ac2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 889, 891, 893, 895?\n\"Answer: 2*c + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 4 (b) 0.1 (c) 72 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 6*n - 1. Let f be 3\/(-2)*120\/(-45). Give q(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133\/104 + 9\/8. Let m = -18 - -18. Put -5, x, m in increasing order.\nAnswer: -5, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*(-1 + (-2)\/(-5)). Let r(h) = 4*h - 3*h - h - u*h. Let w(s) = -2*s**2. Give r(w(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20427 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/45*(-84)\/1540*-11.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4\/3 - 6961*x**3\/3 - 9205432*x**2\/3 + 3557392324*x = 0.\nAnswer: -3842, 0, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**4 - o**3 + o**2. Let a(n) = -6*n**4 - 3*n**3 - 23*n**2 + 27. Let y(s) = -2*a(s) - 10*h(s). Let y(f) = 0. What is f?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3216245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r*r*r**(2\/3)\/r*r**(-3\/5)\/r**(-4\/5) assuming r is positive.\nAnswer: r**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(44 + 12 + 12)*(3*i + i - 3*i).\nAnswer: -68*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 65955\/(-90)*(-96)\/(-21). Let w = -3354 - p. Find the common denominator of 23\/6 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and 0.04.\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 8*c**2 + c - 4. Let v be o(8). Calculate the greatest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**3 - 5*t**2 + 8*t - 9. What is the units digit of v(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0*g + 21*g + 264 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4429 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**2 + 24*g + 8. Let k(f) = 5*f**2 + 13*f + 4. Let j(m) = -5*k(m) + 3*v(m). Let x = -8 - -1. What is the units digit of j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - p - 3. Let k(r) be the second derivative of r**4\/4 + r**3\/3 + 3*r**2\/2 - 267*r - 1. What is 6*k(f) + 7*w(f)?\nAnswer: -3*f**2 + 5*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-18) - 48\/36 - 56\/(-66).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 73, 110, 171, 262, 389, 558, 775?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -406, 4, -1, -755 in descending order.\nAnswer: 4, 2, -1, -406, -755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*r**4 - 327*d**3*r**3 - 25*d**3*r**2 + 2*d**2*r**2 + 2*d*r wrt r.\nAnswer: 24*d**3*r - 1962*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 15742\nAnswer: -5\/15742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m + m)*(-2*m + 2*m - m) - m**2 - m**2 + 3*m**2 + (2*m + 0*m - 3*m)*(-3 + 3 + 2*m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*f - 56 + 296, 5*r = -f + 220. Suppose 4*y = -4*m + 36, -y - 31 + r = -4*m. Solve 7 = -3*d + y*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2707\/1520?\nAnswer: 2707\/1520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {u: 5, z: 1, t: 3, h: 2, w: 1, j: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w)*(6133 + 13617 + 16119 - 4456 - 350).\nAnswer: -62126*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46861 is divided by 122?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -298525*d**2*h*y - 3*d**2*h + 2*d*h*y + 139*d*h + 3*d*y + 55*d + 4*h wrt d.\nAnswer: -597050*h*y - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8128 - -8130. Sort -2, 0, -5, a, -4.\nAnswer: -5, -4, -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 29*v**2 + v - 4. Let o(k) = -3*k**3 - 60*k**2 - 2*k + 7. What is 3*o(w) + 5*s(w)?\nAnswer: w**3 - 35*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**3\/3 + v**2\/2 + v. Let s(p) = 12 - 3 - 6 - 9 + 5. Let f(a) = -j(a) + 2*s(a). Give f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 24*w**2 + 134*w - 109. What is y(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -11, -39 in decreasing order.\nAnswer: -11, -12, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - (-209 + 61)) + -65?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 193. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 143192*n**3 - 1145609*n**2 - 1288800*n.\nAnswer: n*(n - 9)*(n + 1)*(n + 143200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 1 + 1 + (-4*v + 7*v + 3*v)*(3 - 3 + 4*v) + 2*v**2 + v**2 + v**2.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:48 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -160216 (base 7) to base 5\nAnswer: -2000244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -12576*r + 125793. Give p(10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 2*d**2 - 4*d + 2. Let m(n) = -n**3 - 2*n**2 - 3*n + 2. Give -4*f(b) + 5*m(b).\nAnswer: -b**3 - 2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-2324*b + 964440 - 964440)*(0*b - 3*b - b).\nAnswer: -18592*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 9. Let d(z) = -2*z**2 - 7*z + 37. Let f(t) = 3*t**2 + 11*t - 55. Let c(s) = -7*d(s) - 5*f(s). Let v be c(-6). Solve -h*r - r - v = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -102, -101?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**4\/12 - b**3\/6 - 7*b. Factor s(j).\nAnswer: -j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -355285, -355303, -355331, -355375, -355441?\n\"Answer: -q**3 + q**2 - 14*q - 355271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6) - (-7)\/(-210)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/2))**(-2)\/(b\/(b**3*b)*b**2\/b) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/10 + (-2)\/10. Let o be 21\/2 - w\/(-4). Let i = o - 1. Solve i = -3*s + 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s - 35. Let t(b) = 2*b - 2. Give l(q) - 2*t(q).\nAnswer: 3*q - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iji when three letters picked without replacement from {s: 3, w: 3, j: 1, i: 6, x: 1, z: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 86*j**2 + 45*j + 419. What is the hundreds digit of o(86)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4320419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 - -1.8. Sort 1, k, 2\/15, -0.1 in descending order.\nAnswer: 1, 2\/15, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87838, -87839, -87840?\nAnswer: -87841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:28 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 11*l - 16 = 0. Suppose l*m - 3 = 3*z, -2 = -5*m + 3*m + 2*z. Suppose 2*o - 10 - 10 = m. Solve -2*c + r - 23 = -o, 0 = 5*r - 25 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and -239.\nAnswer: 8365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 145824189*x**2 + 121808326?\nAnswer: 291648378*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 6. Let f be q(-6). Let d(i) = 2*i - 3*i**2 + 5 + 4*i**2 + f*i**2 - 2. What is d(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -526 + 527. Suppose 5*v - 38 = -u, -v - 2*u + 0*u = -13. Let f(g) = -g**2 + 8*g - 4. Let t be f(v). Solve -t - w = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -10. Suppose 2*r = -y*r + 55. Differentiate -6 + r*b - 11*b + 7*b**3 wrt b.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 5795 = 4834. Let u = 1689 + g. Calculate the remainder when 118 is divided by u\/18 - -3 - 6\/27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(sqrt(24) - (sqrt(24) - (sqrt(24) - (-2*(sqrt(24) + sqrt(216)) + sqrt(24)))))\/(sqrt(200)*4 - sqrt(8)) + -3)**2.\nAnswer: 48*sqrt(3)\/19 + 2719\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 84 - 72 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 9, s - 5 = 96*z - 97*z. Let g(a) = -5*a**2 + 3*a + 3. Let q(p) = -2*p**2 + p + 1. What is s*g(n) + 9*q(n)?\nAnswer: 2*n**2 - 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - -0.45. Let h = -0.2 + j. Let v = -6226 + 6225. What is the nearest to v in -5, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from ppddppldldl.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -43*h + 1. Let n(j) = -41*j. Calculate n(x(r)).\nAnswer: 1763*r - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - b**2 - 4*b + 3. Let l be n(2). Let u(w) = -w**3 + 8*w**2 - 7*w + 7. Let m be u(l). Which is bigger: 6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:35 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1189, -172, 1, 32 in decreasing order.\nAnswer: 1189, 32, 1, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4724\/(-6)*20745\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.5, -71, -0.02, 0.013?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2*3\/(-6)*-1). Let r be (-13)\/(-5) - (-2)\/5. Suppose -r*j = -2*j - u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*k**2 - 15*k**2 + 13*k**6 + 22*k**2 + 27*k**6 wrt k?\nAnswer: 4800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 11*y**2. Let p be l(-2). Suppose 5*x = 1 + p. Let a = 13 + -9. Solve z + 1 = -c, -a*c - x = -2*z + z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 divided by -2?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2323, -3, 0, 4\/5, -81 in ascending order.\nAnswer: -2323, -81, -3, 0, 2\/3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73 and 2558?\nAnswer: 186734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2424 (base 10) to base 2.\nAnswer: 100101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3)*(11 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2069 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.055365 and 0.5?\nAnswer: 0.0276825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -274*b - 3. Let y be p(0). Sort 2, 366, y in ascending order.\nAnswer: y, 2, 366","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*n = 77*n + 494. Let i = 4 + 1. Calculate the remainder when n is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 2*l + 3*l, 4*h = -l + 1. Let q = -1 - -2. Let p be h\/(-2 + 1 - q). Solve p*x + 1 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b + 11. Let a be -3 + 7 + 3 + -1. Let y be 66\/a - (2 - 1). Is o(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40\/57 - 2\/57. Let t = 0.1 - 0.3. Let h = t - -1.2. Do r and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6)*(-12)\/6*33\/(-44). Which is the fourth biggest value? (a) 5 (b) j (c) 0.02 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1110 + 1106. What is the second smallest value in -0.96, j, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*522.\nAnswer: -730.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 166*v**5 + 174*v**4 + 8*v**3 = 0.\nAnswer: -1, -4\/83, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*-4*267\/(-12)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 + 107 = 2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 15*u - 23. Determine b(10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/(-14) + -3)*(-3 + 12). Factor -3\/7*a + 0 + 9\/7*a**2 + 3\/7*a**4 - r*a**3.\nAnswer: 3*a*(a - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 13*i**2 + 13*i + 19. Let l be f(14). Suppose w - 3 = -4*a + 9, 0 = 3*a + l*w - 26. Solve -5*k - 7 = 4*m, -4 = -0*m + a*m + 2*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 150*((-14)\/63)\/(4\/(-6)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -29.85 and 0.1.\nAnswer: -29.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 188 = -39*i + 36*i, 5*i - 312 = j. Suppose -i + 210 = 4*f. What is the remainder when f is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*m - 3*l, -4*m + 0 = -3*l - 19. Suppose -2 = -h + m. Suppose -h*n = -7*n + 40. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by -44.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2423 and 1\/((-319)\/(-990) - 6\/27)?\nAnswer: 24230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/204 and 139\/510.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 143.7308 - 19.57915.\nAnswer: 124.15165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i - 39*i = -9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -0.0853?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -94*m + 124. Give g(-7).\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405 divided by 81.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0.1, 0.03, -5 in decreasing order.\nAnswer: 0.1, 0.03, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3161, -3162, -3163, -3164, -3165?\n\"Answer: -r - 3160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 7*t - 8. Suppose 0 = t*q + 3*q - 320. Let a be (-4)\/(-6)*-3 + 10. Calculate the highest common factor of q and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + (-14 - -12) + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**2 - v**2 + 0*v**2)*(-5*v + v + 2*v) - 36*v**2 - 4*v**3 + 36*v**2 - 2*v**3 + 9*v**2 + 0*v**3 - 8*v**2 as g + j*v + d*v**2 + l*v**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 173*v**2 - 87*v**2 - 79*v**2 + v**3 - 7. Calculate c(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*i - 9 = 7*a, i = 5. Solve -3*v - 2 = a*j, 0 = 2*j - 7*v + 2*v - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g + 14. Let v(h) = 31*h - 40. What is -3*v(l) - 8*y(l)?\nAnswer: -13*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (16\/18)\/4. Let f = -0.3 - -0.2. Let s = 1038\/5 + -208. What is the nearest to f in -2, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(5*m - 3*m - m) - 4*m + 3*m + 0*m - 3*m + 7*m + 0*m + m + 5*m - 5*m + (-3 + 3 + 2)*(-2*m + 3 - 3).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/354349 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 1 + 27. What is the remainder when 62 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 592\/(-72) - -2 - -6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5\/3, -5, -1\/3, -1, 1.8, -11?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*f + 4*s, -4*f - 3*s + 7*s = -8. What is the remainder when 3\/(-12)*f*-12 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13.034. Let j be -1 - -5 - (-5 - -8). Is g equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -560541 smaller than -560058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:07 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*(-9)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8956 - 156\nAnswer: 8800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1490194288.\nAnswer: 2, 11, 23, 547, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/14))**32 assuming o is positive.\nAnswer: o**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11274919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2 (b) 0.5 (c) -4 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (sqrt(4)\/sqrt(32)*-3)**2).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 408297456\/(-288) - (-2)\/(-4). Round k to the nearest ten thousand.\nAnswer: -1420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43773079?\nAnswer: 7, 17, 367841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose a*l = -5*l - 25, 0 = 5*h + 4*l. Suppose -2*i = -7*i + r + 14, 0 = 2*i + 4*r + 12. Sort i, 1, h in descending order.\nAnswer: h, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 47. Let j = b - 15. What is the greatest common factor of 15 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -293, -379, -467, -557, -649?\n\"Answer: -k**2 - 83*k - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.144 + 0.144. What is the nearest to d in -1, 2\/7, -137?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24617578 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*b + 106*b - 39*b + 2*b + 1 - 1 - 2*b - 2 + 2 + (b - 4*b + b)*(1 - 2 + 3) + 2*b + 3*b - 4*b)*((0*b**3 + b**3 + 0*b**3)*(5 + 3 - 7) - 6 + 6 + 2*b**3).\nAnswer: 54*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 23*i = -2. Let m be (2\/2 - 0)*4. Solve 2*l + i*r + m = 0, -5*r - 14 - 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -15. Solve 0 = 3*g + i - 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-72)*(-17)\/(-136)*-4.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 136419 - 136419 + 1094*u in the form r*u + z and give r.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491909567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 53 - 47 - (-5)\/2. Do d and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15511920 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 9) in base 15?\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -156732384 divided by -1632629?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -117*z + 5*z. Let b be -2 - (1 - 5 - -2). Solve 5*l - 4*l - z = b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -934 + 16937\/18. Calculate the common denominator of 1*(85\/12 + 4) and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*v + 30 = -l, 2*v = 3*l - 5. Solve -2*i + 2 - 4 = l*h, -2*h - 2*i = 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*t + 3*r, r + 32 = -5*t + 3*r. Let l(q) = -3*q + 3. Let h be l(5). Let d = t - h. Solve 3*u + d - 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03926413 rounded to 4 decimal places?\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g - 3. Let y = 36 + -15. Suppose 0*c + 3*c = y. Is 15 a factor of s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*y - 401*y - 18 = -791*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggv when three letters picked without replacement from {n: 1, v: 4, g: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*2*(-3)\/30*3. Suppose 2*u + k*h = u + 2, -3*u + 2*h = -6. Solve -3*d + 9 = 0, t - 3*d + u*d = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -63426142?\nAnswer: 63426121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 3*w**2 - 13*w - 7. Let m(u) = -29*u - 179. Let z be m(-6). Calculate i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23596075 to the power of 1\/2, to the nearest integer?\nAnswer: 4858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -28 - (-1 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + 0.6. Let r = -2 + 1. Let v = p - r. Is 2 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2 + 197*g - 772 = 0.\nAnswer: 4, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from hhllllllllllhlhlll.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10371 + -10290. Calculate the lowest common multiple of 333 and c.\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -348120, -346430, -344738, -343044, -341348?\n\"Answer: u**2 + 1687*u - 349808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -398 times -4\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, d: 3, k: 1, s: 2}. What is prob of picking 1 p, 1 d, and 2 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**16*x*x*x*x**(-3\/11)*x assuming x is positive.\nAnswer: x**(239\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 127667062707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**2\/7 + 452*n\/7 = 0.\nAnswer: 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5295 + 5294.995482. Round h to 5 dps.\nAnswer: -0.00452","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(3\/5))\/a)**(-13)*a*a\/(a*a\/(a\/a**(4\/9)*a)*a)*(a*a\/(a*a*a*a**10*a)*a)\/a assuming a is positive.\nAnswer: a**(-164\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -424 (base 6) to base 11.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 0.5, 5, -2\/7.\nAnswer: -2\/7, 0, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-9 - -4) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1277447 + -11?\nAnswer: -11.1277447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yddqqgwg. Give prob of sequence dw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 2*v**2 - 4*v + 3. Let i be g(3). Suppose 0*q + 3*q - 12 = i. Put 3, q, -2 in descending order.\nAnswer: q, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*w - 911 = -285 + 1639 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-180 - -11)\/(-13))\/((-4)\/(-184)) is divided by 114.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 12*b**2 + b - 9. Let a be v(12). Solve -5*i - 4 = -a*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 89465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 6*p - 4. Let n = -15 + 6. Let r = -14 - n. Determine o(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/20*11\/(55\/60)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**2 - 3. Let p(a) = -a. Give p(v(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/45, -1, -1\/3?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18544, -74181, -166912, -296737, -463656, -667669, -908776?\nAnswer: -1186977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6954 and -63\/190.\nAnswer: 34770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150*y**4 + 5*y**3 - y**2 + 1997*y + 2?\nAnswer: 1800*y**2 + 30*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16248 divided by 12.\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1657244 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**4\/6 - 545*k**3\/6 = 0.\nAnswer: -545, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z + 2*z + 4*z)*(10*z - 7*z + 19*z)*(6*z + z + 0*z).\nAnswer: -924*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -62. Let j be ((f\/(-207))\/(3\/9))\/1. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3056, -6068, -9058, -12020, -14948, -17836?\nAnswer: -20678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175215?\nAnswer: 3, 5, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -8 + (-34 - 8 - -6)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1974 and -155\/336?\nAnswer: 15792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 5*l - 4. Suppose -3*d + 19 = 5*k, 0 = -d - 3*k + 2*k + 5. Let z be s(d). What is the third derivative of 2*a**3 - z*a**2 - 4*a + 4*a wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232 and 44.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.7 and -15395.4.\nAnswer: -103149.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 542 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 24*y + 72. Determine p(19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 3) + 22 - 19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) 0 (c) -3 (d) -1 (e) -0.2 (f) 707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 355, 698, 1151, 1714?\nAnswer: 2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 641966 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32620674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 213*f + 603. Give k(-2).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/7 + 4*l**2\/7 + 66*l\/7 - 180\/7 = 0.\nAnswer: -6, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61939.79ug?\nAnswer: 61939790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*o + 4, -2*o - 22 = 5*p - 5*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -172477 - -1?\nAnswer: -172476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 50*m. What is the tens digit of p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 0) + (59 - 62). What is the third smallest value in 0.1, j, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -335, -12 in increasing order.\nAnswer: -335, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/60 - j**4\/12 - j**3\/2 - 19*j**2. Give f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**4\/12 - 4*f**3\/3 - 648*f**2 + 2*f. Let j(k) = 1. Determine 14*j(q) + 2*t(q).\nAnswer: -4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {z: 1, a: 1, c: 1, q: 1, f: 2, i: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39)\/(-52)*4\/6. Let d(h) be the first derivative of -h + o*h**2 + 1. Let r(g) = -3*g + 4. Determine 2*d(f) + r(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-10*2\/24)\/(5\/270*12)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3330312 + -24?\nAnswer: -3330341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6768980 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a + 14. What is the tens digit of s(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2266525846 to the power of 1\/2, to the nearest integer?\nAnswer: 47608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 3. Let f(i) = -3*i**3 - 3*i - 3. Let z be ((-1)\/1)\/(-14 + 15). Let u be f(z). Determine d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117721 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b - 2. Let y(t) = -9*t - 4. Calculate -7*h(s) + 3*y(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 15*t**2 + 11*t - 20. Let r be m(-14). Suppose 4*p - p = -2*o + 13, 4*o + 3*p = 35. Calculate the highest common factor of r and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + (3 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t + 3. Let p be s(1). Let a(b) = -b**3 + 6*b**2 + 7*b - 5. What is a(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/55? (a) -26 (b) -0.5 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/(t\/(t*t**(-6\/7))))\/t)\/t*t)\/t)\/t**(2\/11))\/(t**9\/(t*t**(-4\/5)*t)) assuming t is positive.\nAnswer: t**(-3788\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/30 + 31*n**4\/12 - 266*n**3\/3 + 342*n**2 + 4*n. Factor p(v).\nAnswer: 2*(v - 7)*(v + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/8 - 11\/(-6). Let d = -0.5 + -1.5. Let f = -0.3868 + -0.1132. What is the closest to d in 0.8, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*c + 1094 = -18*c - 242 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6820217 divided by 220007?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1.402, -5, 1\/7?\nAnswer: -1.402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 h when four letters picked without replacement from {k: 3, h: 4, q: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 24. Let i(v) = -3*v**2. Calculate i(x(q)).\nAnswer: -12*q**2 - 288*q - 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/8 + l**3\/3 - l**2. Let c = 4 - 3. Let o be c - (-1)\/(3\/6). Calculate q(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -153313, -153221, -153117, -152995, -152849, -152673, -152461, -152207?\n\"Answer: b**3 + 85*b - 153399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-2\/7)*o)**(9\/5)*o**6*o*o*o**2 assuming o is positive.\nAnswer: o**(521\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5629 + 67453\/12. Find the common denominator of n and -7\/114.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 12) in base 7?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000193 rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-358)*(-4)\/(-114). Let g = -2406198122\/35 + 130935686411077\/1904560. Let s = q + g. Calculate the common denominator of -41\/20 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 48. Suppose 5*z + 3*h = 121, w*z + 41 = h + 148. Let j = z + -14. Calculate the remainder when 22 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f + 2*f + 8*f to the form b*f + x and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5*(sqrt(1216) + sqrt(1216)*1) - sqrt(1216)) + -2)**2.\nAnswer: -176*sqrt(19) + 147137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-5460)\/24))\/((-2)\/(-5)*-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - (-44)\/6. Let i(v) = -v**2 + 8*v + 3. Let r be i(c). Is (-131)\/(-5) - 2\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/51)\/((-4)\/48*(-544)\/527)\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 67 = -4*c. Let q = c + 145. Let m = 177 + q. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*p - 560 = -p - 16*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246*g**5 + 311*g**2.\nAnswer: -14760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - 29*y**2 + 14*y + 2. Calculate j(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/38)\/((9\/(-8))\/(36\/(-84))).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 660 divided by 220\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**4 + 7*s**3 - 1753*s + 247377.\nAnswer: 8*s**3 + 21*s**2 - 1753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*w + 13. Suppose w*j + 2 = 8. Calculate the lowest common multiple of 20 and 71\/4 - j\/(-8).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5387 and 1148977069.\nAnswer: 5387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -11*a**4\/12 + a**2\/2 - 30*a + 2. Determine l(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3261314838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 5*y + 25, -3*y + 4*y = 3*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-23 - -12 - -20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/10 + i**4\/4 - i**2\/2 + 2*i. Suppose 3 - 5 = t. Calculate o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 23. Suppose 16 + 9 = 5*l. Suppose 192 = l*v - 43. What is the remainder when v is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -49*h**6\/48 + 91*h**5\/4 + 6107*h**4\/32 + 573*h**3\/2 - 1377*h**2\/4 + 108*h + 1533. Suppose q(w) = 0. What is w?\nAnswer: -3, 2\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v - 230. Let s be o(-21). Suppose -5*u + 5*d + 20 = 0, 4*u - d + 8 = -5*d. Calculate the highest common divisor of u and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 9\/235, -1\/2, -4\/9, -1 in increasing order.\nAnswer: -1, -1\/2, -4\/9, 9\/235, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 142\/13 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096*c + 3463 + 3257 = 1184*c + 1792 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881008689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -188. Is a\/(-7) + 10\/35 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64381929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -20*l**3 - 12*l**2 + 23*l + 10. Let i(z) = 7*z**3 + 4*z**2 - 8*z - 3. Let a(f) = -17*i(f) - 6*u(f). Let n be a(-3). Solve 2*m + n + 0 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 9 - 7 - 1698*q + 154*q.\nAnswer: -1544*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 3. Suppose -5*j - 48 = -l, j - 5*j + 12 = l. Let r(m) = -8*m**2 + 28. Calculate l*x(v) + 3*r(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1951187 is divided by 277.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7374147 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 17*k - 50 - 26 - 55 + 277 - 8. What is h(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*r = -8*r + 2718 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*g - 2199 = -52*g. Let x = 755 + g. What is the least common multiple of x and 136\/10 - 2\/(-5)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 14.005. Let b = -2.01 + 2. Let z = o + b. What is z rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 4, t: 5, w: 7}. Give prob of picking 3 g.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 3:27 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46789764 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + 24*d + 1. Let t be (-2)\/(2\/(-2 + 3)). Let a = 0 - t. Calculate the remainder when a is divided by i(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 24*f**2 + 7. Give m(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) 5 (c) -5 (d) -42 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x**2 - 3*x. Let c(a) = a**3 + 9*a**2 + 16*a - 18. Let v(y) = -c(y) - 2*j(y). Determine v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(3))\/sqrt(2)*-4*3.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1\/3)*s)*(s\/(s\/(s\/(s\/s**(1\/3)))))\/s*s*(s*s\/(s\/s**3))\/s**(1\/5))\/((s*s**0\/s)**(-21\/5)*((s*s**0)\/s)**(2\/29)) assuming s is positive.\nAnswer: s**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -432*v + 67 + 2626 - 533 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5010 = 1838. Suppose 794 = 3*l + 4*c, 0*l - f = -3*l - 5*c. Is 9 a factor of l\/10 + (-20)\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 0, -29\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 231, 484, 797, 1146, 1507, 1856, 2169?\nAnswer: 2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2. Let d(a) = -403*a + 17*a - 123*a - 93*a - 81*a. Calculate d(x(l)).\nAnswer: 2049*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536 + 541 + m**2 - 1077.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)\/sqrt(9))\/sqrt(8) + (sqrt(343) - -1*sqrt(343)))**2 + (5 + sqrt(1008) + sqrt(7) + -3 + 4)**2.\nAnswer: 156*sqrt(7) + 2794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 - q + 21. Let s be x(7). Let t = s + 129. List the prime factors of t.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4501 + -4565?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11150765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 10:53 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*k + 99 = 0, -2*h - 48*k = -46*k - 68. Let x be 4\/(-18) + (-2)\/(-9). Sort -1, h, x.\nAnswer: -1, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/6 - l**3\/3 - 2*l**2 + 6*l. What is the units digit of t(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/6 (c) 194 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 16?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2894045 divided by 14\nAnswer: 413435\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32976768 divided by -9768?\nAnswer: -3376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1 (c) -0.5 (d) 1\/37 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**30)**(-8\/7)\/(z**(1\/7)*z*z**(1\/6)) assuming z is positive.\nAnswer: z**(-1495\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6080507 + 6080501.738846. Let r = y + 5.26. What is r rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 24*z**3 + 1. Let b be r(1). Suppose 4*l - 20 = 4*q, 3*l = -3*q - 2*l + b. Let w(i) = i**3 - i + 16. Is 16 a factor of w(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1172.5 + 1468. Let o = q + -295. Let h = -2.3 + 2. Which is the fourth biggest value? (a) o (b) h (c) 0.4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 19*x**2 + 19*x + 39. Give h(-20).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*a - 144978, i + 2*i - 10*a - 144948 = 0. Is i a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 8 (b) -2\/23 (c) 31.24 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 185.7. What is the smallest value in -0.5, j, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 6. Suppose -2*m + 8 = -f*m. Suppose 0*h + m*h = 24. Solve -3*y = v + 13, 3*y + 4*v + 7 = h*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -23. Suppose -4*z - 29 = -4*l + i, 72 = 4*l + 5*z. Calculate the remainder when 101 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/3 + 513883*o**4 + 198056032437*o**3 - 1782532041701*o**2\/3 - 1782520736248*o - 990287870460 = 0. Calculate o.\nAnswer: -770826, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - g - 7. Let p(m) = 8*m + 52. Calculate the remainder when v(6) is divided by p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 15*s**2 - 9*s + 8.\nAnswer: (s - 8)*(s + 1)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.099 - -4.579. What is s rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + f - 2)*(-f + 4*f - 2*f) + 9 - 9 - 14*f**2 + (-2*f - 2*f**2 + 2*f)*(7 - 3 - 3) + 0*f**2 + 4*f**2 - 3*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13447 - -11617. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-84 - (-37 - -43)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12*c**2 + 91*c + 6. What is t(8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 8*f**2 + f - 23. Let l(i) = -11*i - 5. Suppose -4*o - 47 = -5*n, o + 0*o + 20 = 4*n. What is the remainder when l(o) is divided by g(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4137638?\nAnswer: 2, 41, 50459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008295.\nAnswer: 5, 421, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/(-8) - (-1 - (-7)\/(70\/(-80))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22322 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 2, y: 5, g: 3, k: 5}. Give prob of picking 1 q and 2 y.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 244376339519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5393858454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 18*l**2 + 3*l + 4. Let k(w) = -1. Suppose -5 = -2*g + c, 4*c + 4 = -3*g - 5. Let p(f) = g*u(f) + 3*k(f). What is the units digit of p(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 11 + 4 = 0. Let s(t) be the second derivative of -t**3\/3 + 2*t**2 - t. Does 11 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428194, 428192, 428190?\nAnswer: 428188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 2*z**3\/3 - 5*z**2 + 7*z. Let p be n(10). What is p rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 5*z + 7 + 10, z = -2*p + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/1)\/(1 - 2). Suppose y = -2*n - 3*n. Suppose n*z + 435 = 3*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -215*f**2*o**2 - f*o**3 - 983*o**3 wrt f.\nAnswer: -430*f*o**2 - o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2. Let a(j) be the second derivative of 5*j**4\/6 - 23*j. Calculate a(k(y)).\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 9*i**2 - 966*i + 14550. Give j(14).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 0.1, 4\/29, 1.8 in decreasing order.\nAnswer: 8, 5, 1.8, 4\/29, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-7))\/x*x*x**(-1\/15)*x*x*(x**(-3\/8)*x)\/x**(-4))**(3\/11) assuming x is positive.\nAnswer: x**(67\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002052 to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*j + 57260 = 89*j. List the prime factors of j.\nAnswer: 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.8 - -60.8. Sort -5\/6, 4, j, -5 in decreasing order.\nAnswer: 4, -5\/6, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*d**4 + 31*d**4 - 168*d**4 + (d**2 + 2*d**2 - 2*d**2)*(2*d**2 - 4*d**2 + d**2).\nAnswer: -286*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/4680186 and -47\/2674392.\nAnswer: 18720744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 483892 + 149212 = 0. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-8) - (76\/(-16) + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - m + 2. Let k be c(-2). Suppose k = -3*n - 0 + 6. Solve -5*s = n*f - s - 22, -2*s = 2*f - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661020 (base 13) in base 6?\nAnswer: -123245203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -4)*14\/(21 - -7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2872395*i - i**2 - i**2 - 2872395*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.079 (c) 0.2 (d) -4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 = -17. Let f(a) = a**2 + 8*a - 52. Let y be f(-21). Calculate the greatest common factor of y and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -44.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -333 + 342. Let d(b) = i - 7 - b + 0 + 3 - 3. Give d(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*i = 75, 4*i + 14 = -3*k + 86. Calculate the remainder when 188 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-90)*20*7\/1176\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -26. Let s be 5\/(-21)*(-258)\/215. Let z = 0.35 - 0.05. Which is the closest to k? (a) -1\/6 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -19, -26, -33, -40, -47?\n\"Answer: -7*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Suppose -18*j - s + 573 = -22*j, -j = -s + 147. Let f = j - -141. What is the closest to f in b, 1.9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589*p*s**3 + 2187292*p - 717*s**3 - 2*s**2 wrt s.\nAnswer: 3534*p - 4302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -fc (base 16) to base 15\nAnswer: -11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611*k**2 + 1228*k**2 - 620*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 - 8*m + 8. Let t(f) = f**3 + 17*f**2 + 32*f - 32. Let i(n) = -18*a(n) - 4*t(n). Let i(g) = 0. What is g?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myfggggyfyggz. Give prob of picking 1 f and 1 g.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 381. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asz when three letters picked without replacement from {z: 3, v: 2, b: 4, s: 2, a: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 476346374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2450739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -0*l - l. Let v = l + -21. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 6 - 15)*(z**2 + z**2 - 4*z**2) in the form i*z**2 + c*z + n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 792 + -656. Let d(t) = -10*t - 8. Let o be d(-7). Let c = p - o. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 125 = 4*f. Suppose 5*y - 17425 = -8*y - 28*y. What is the greatest common factor of f and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16264.9269 seconds to days.\nAnswer: 0.18825146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/721331 and 1\/78.\nAnswer: 4327986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**7\/105 - 7*h**6\/75 - 9*h**5\/25 - 2*h**4\/3 - 8*h**3\/15 - 5*h + 2. Factor m(a).\nAnswer: -2*a*(a + 1)*(a + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-12))\/(p**(1\/3)\/p)*p**(1\/6)\/(p\/(p*p**(-3\/13))))**34 assuming p is positive.\nAnswer: p**(18037\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.951193 millilitres in litres?\nAnswer: 0.009951193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 154*f**2 - 247*f + 120. What is c(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 12, 6*m + 5*j + 35 = m. Let n be (6\/(-12))\/(m\/(-6)*1). What is the remainder when 57 is divided by (21\/(-5))\/(12\/15 + n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5 + 96*d**4 - 80*d**3 - 280*d**2 + 84*d + 184 = 0. Calculate d.\nAnswer: -1, 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 222 - -1?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7192 is divided by 3582.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/5 + 16*g**4\/5 + 37*g**3\/5 - 126*g**2\/5 + 72*g\/5 = 0. What is g?\nAnswer: -12, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/2 - 33*d**4\/2 - 1567*d**3\/2 - 8971*d**2\/2 + 11385*d - 6100 = 0. What is d?\nAnswer: -20, -10, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, b: 2, e: 4}. What is prob of picking 2 t?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/84 and (6015\/(-1725))\/(36\/(-15)) + -2.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602217?\nAnswer: 3, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 40*m + 2*m**3 - m**3 + 79430*m**2 + 29*m - 79430*m**2.\nAnswer: -2*m**3 - 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -8*z**3 + 399*z**2 + 47*z + 165. Suppose -4*v + 47 = f, 0 = -4*f + 2*v - v + 205. Calculate the remainder when f is divided by c(50).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, k: 2, i: 1, e: 2}. Give prob of sequence vkek.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -5 + 13 + -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288429412?\nAnswer: 2, 17, 47, 90247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-514*p + 165366 - 165366)*(3*p**3 - 2*p**3 + p**3) + 6*p**4 - 3*p**4 - p**4.\nAnswer: -1026*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmfmmffmmmmmmmmmmm. Give prob of picking 3 m.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-34)*s)\/(s\/s**(2\/15)) assuming s is positive.\nAnswer: s**(527\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**2*r*s - j*r*s - 3236344*j*s**3 + 1243*r*s**3 - 130*r*s**2 - 2*s**3 + 2 wrt j?\nAnswer: 2*j*r*s - r*s - 3236344*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -26 + 32 - -18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21\/68 - -377\/340. Which is the nearest to 0.21? (a) q (b) -5 (c) 1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmc when three letters picked without replacement from {m: 7, c: 4, o: 6, h: 2, r: 1}.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l + 473. Determine c(48).\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 74 = -2*z + 24, 5*c - 130 = -2*z. What are the prime factors of z?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**4\/12 + o**2 + 2*o. Let z be s(-2). What is the third derivative of 2*m**2 - 5*m**z + 2*m**6 + 4*m**6 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -37*d - 2. Let v be l(-1). Let c be (-28)\/v + (-736)\/(-20). What is the highest common factor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x. Let t(u) = -18614*u**2 + 126*u. What is t(h(l))?\nAnswer: -912086*l**2 - 882*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**3 + 106*d**2 + 56*d. Let r(i) = 8*i**3 + 106*i**2 + 58*i. Let j(n) = 6*r(n) - 7*u(n). What is the second derivative of j(w) wrt w?\nAnswer: -6*w - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*i + 251*i = 405 + 555. Solve i*z + 70*g = 75*g + 1, 5*g + 7 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004655 rounded to the nearest ten thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 3*v - 2*v)*(1120*v + 4 - 1395*v - 1).\nAnswer: -275*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b - 19*b + 9*b + (5*b + 0*b - 3*b)*(-2 - 3 + 3) - b - 2*b + 0*b + (2 + 1 - 1)*(-1 - b + 1).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v + 106*v**2 - 105*v**2 + 5 + 5*v. Let z be t(-7). What is the common denominator of (556\/48)\/1*z and -71\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2857.2+0.4\nAnswer: -2856.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 13, -6, 4, -0.02, 2\/277?\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -678877089*z**4 + 2803*z**2 - 13*z.\nAnswer: -16293050136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 f when three letters picked without replacement from xvbbxvvfxxxbbx?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, -5, 3\/5, -0.05, -2 in increasing order.\nAnswer: -5, -2, -0.22, -0.05, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 845741.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6462*n - 19367. Determine z(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 3 + -9 - -500. What is the highest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*32\/(-28))\/((-8)\/(-28)). Let o(r) = -4*r + 3*r + b*r - 5*r. Let j(k) = 12*k - 4. Give j(o(c)).\nAnswer: -24*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/21? (a) -0.1 (b) -1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2185984 and -33\/52.\nAnswer: 28417792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -522 - -522. Solve b*m = 6*m + 2*f, 3*m = f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 332 by -56765.\nAnswer: -332\/56765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 467 - 237. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552416564 and 2128?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 16, 0 = -2*y - 0*y - c. Let x be 3*((-1 - 0) + y). What is the derivative of -24*p + x - 6 + 2*p - 4 wrt p?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130533300 a multiple of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42499300 rounded to the nearest one hundred thousand?\nAnswer: 42500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -44. Suppose 4*c + c - 1885 = r. Let q = -88 + c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/3))\/j)\/(j**(-1\/9)*j)*(j\/((j*j**(2\/5)*j)\/j*j))**(2\/67) assuming j is positive.\nAnswer: j**(-796\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + 6 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:16 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*d + 43*d - 6*d - 98 + 98.\nAnswer: 74*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 416439\/21 + (-6)\/14. Let j = r + -2161490\/109. Let p = j + 1442\/9047. Is -1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -334799*p**4 - 529689.\nAnswer: -1339196*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 59 + 47. Solve a*c + 9 = 6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138.9 + 139. Which is the second biggest value? (a) -4\/7 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15929 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (7 - -6 - 6) + (15 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 z = -356.3065 + -0.1935. Round z to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 6, q: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Let d be (-2)\/(-5) - 3\/(-5). Let r = -11 - -13. Let g(n) = -2*n + 28 - 5*n**2 - 26 + 0*n**r + 4*n**2. What is d*t(v) - g(v)?\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 612\/7 - (-6 + 266\/49). Suppose -8*q + r = -40. Suppose -n - 8 = -3*a, -2*a - 3*n + 2 = 4. Solve -4*k + p - q = -p, -4*k - 24 = a*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:02 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20239, 40524, 60809, 81094, 101379, 121664?\nAnswer: 141949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.6, -2, -21\/4, 5\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.48 + 0.08. Let a = -0.289648 + -0.110364. Let p = a - d. What is p rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -1172 (c) -74.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 606558399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/8, 2\/58973, 1\/5?\nAnswer: 2\/58973","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 73*r - 302. What is x(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-762 + 139*w - 764 + 1526)*(-2*w + 4*w - w).\nAnswer: 139*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2302162817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -980 + -2\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 4:51 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10990520, 10990523, 10990524, 10990523, 10990520?\nAnswer: 10990515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:53 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-18)\/3) + (-118 - -124)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a + 280. Let v(o) = -3*o + 276. What is 6*v(u) - 5*y(u)?\nAnswer: 2*u + 256","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**5\/5 + 35349*a**4\/5 + 70719*a**3\/5 - 106053*a**2\/5 - 141432*a\/5 + 28284 = 0.\nAnswer: -2, 1, 11785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062*x**2 + 13 + 1064*x**2 - 4 - 10 - 4 + 0.\nAnswer: 2*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is the hundreds digit of 157889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/1710)\/(240\/7350) and 51\/380.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = w, 3*w + 6 = 2*w + 4*k. Let g(p) = p**2 - 3*p + 1. Let o be g(2). Is o at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -64, -139, -242, -373?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49957416 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 117500012285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/1001 and 42 + (-49258)\/1210 - 2\/10*-4?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 10:06 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 2*k**2 - 2*k + 3. Let x = -12 - -18. Suppose o + 2*o = x. What are the prime factors of f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -5*sqrt(720) + -2.\nAnswer: -48*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 501\/39 + (-8)\/(-52). Calculate the greatest common divisor of l and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 z when three letters picked without replacement from ummmmmzmmummzzumzmu.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5015272579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 5, h: 7}. What is prob of picking 3 b and 1 h?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 0.159, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14342*v - 171153. Determine z(-12).\nAnswer: 951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i. Let y be z(-1). Solve y*n = 18 + 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 0.5, -42?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11544 + 17028. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -11.055173.\nAnswer: -11.455173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 15*w + 6*w)*(2 + 3 - 4)*(-5*w + 5*w - 13*w**2).\nAnswer: 104*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 37\/5384350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 9*n + 12. Let f be y(10). Find the first derivative of 2*a**3 + 1 + f*a**3 - 4 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-1 - (-20)\/15))*15. Let q(s) = s**3 - 11*s**2 + 15*s - 38. Let b be q(g). What is the greatest common factor of 84 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 1.1. Suppose -o + 12 = -3*n - 0, -5*n = 0. Suppose -i = 5*m + o, m - 7 = -4*i + 2. Which is the nearest to 1? (a) 1\/2 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1615240 + 2285240. What is c rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 31*x - 20. Let i be g(-10). Let f = i - -330. Sort 5, -18, -1, f in increasing order.\nAnswer: -18, -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 0.4 (c) 3\/7 (d) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624 and 1040?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -3 (b) 2\/35 (c) -2\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783409.\nAnswer: 1783409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b61 (base 16) to base 5.\nAnswer: 323410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 398329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 11*k - 7. Suppose -9 = -2*v + l, 0 = -0*v - 4*v - 5*l + 39. What is the tens digit of t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -467 + 24?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 6*y - 301. Let h be 2\/8 - 75\/y. Calculate the remainder when 23 is divided by ((-32)\/((-8)\/(-2)))\/h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 5 - 0)*(-2)\/(-1). Let o(q) = -q - 1. What is o(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12830 or -12853?\nAnswer: -12830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -154154613 (base 7) to base 15\nAnswer: -da1950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(627)\/(sqrt(44)\/sqrt(4)) - sqrt(57)) + sqrt(513)\/(1*sqrt(9)))\/(sqrt(30)\/(sqrt(20)\/(sqrt(2) + sqrt(6)\/sqrt(3)))).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -57, 5, 2, -3 in descending order.\nAnswer: 5, 2, 1, -3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2412 or -2411?\nAnswer: -2411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/11 - 6730*y**2\/11 + 1756576*y\/11 = 0 for y.\nAnswer: 0, 272, 6458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Suppose g = -4*o - 4*x + 20, 2*o - 21 = -3*o - 3*x. Differentiate -4*i**o + 4*i**3 + 3 + 3*i**4 with respect to i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-78)\/(-52)*(-4)\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2262734.000544 - 2262773. Let a = o - -39. What is a rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 43 = -163. Let f = 42 - u. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65254 and 77844704?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44474 < 44381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5536640747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 46*k + 135. Determine x(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2052 divide 163556712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 7*u + 4. Let o be t(6). Let r = -1.8 + 2. Which is the smallest value? (a) r (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3424.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 6. Let j be d(-4). Solve 2*w - j = p, -w + 0*w - 4*p - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59611 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 - -128. Let m be j\/(-36)*2\/(28\/6). Let o = -3 + -1. Put o, 2\/9, m in descending order.\nAnswer: 2\/9, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -424*p**2 - 7*p - 13. Determine v(-1).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 7)\/((12\/(-4))\/(-3)). Solve -d = d + q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69218673.\nAnswer: 3, 73, 316067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 8*w. Let g be (20 - 2)*25\/(-10). Let b = -37 - g. Let k be l(b). Is -4 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.223 and 10.288.\nAnswer: 10.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/280 - o**5\/70 + o**4\/14 + 4*o**3\/7 + 10*o**2. Solve z(d) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1768\/(-221)*-5*(-168)\/(-60)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19749 = -1640*m - 64634 - 83035 for m.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 15 = 3*o, -24 = -5*q - 5*o - 9. Let k be (-54)\/30*(-20)\/6. Is k != q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by -513?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*w + 526*w - k + 2 = 0, k - 9 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by 3?\nAnswer: -161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 + 9*d**2 + 5*d - 7. Let y(n) = 14*n**3 + 27*n**2 + 14*n - 22. Let g(i) = 17*o(i) - 6*y(i). List the prime factors of g(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272187001?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13210278607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 106*p + 10251. Let z(f) = 3*f. What is l(z(g))?\nAnswer: 318*g + 10251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -21. Suppose -n + g*n + 5*u - 2 = 0, 3*n + 5*u = 6. Let i(s) = 2 - 4 + 0 + s**2 - n*s. Calculate i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25587 - -25611. Solve -24*p = -48*p + m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 25*m**2 + 49*m + 67. Let x be r(-23). Let k(z) = -362*z + 11. What is the units digit of k(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - z, 5*w = z + 2200. What is the units digit of -5 + 2 - w\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (472\/12)\/(8\/12). Let v = 777 + -457. Let b be k*(-3 + v\/108) - -2. Is 1 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 539070550 and 2921?\nAnswer: 2921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -1118016\nAnswer: -1118016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/22)\/(960\/880).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24041?\nAnswer: 29, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 679 - 2729\/4. Let w = 510 + -186. What is the common denominator of h and w\/(-4)*(-2)\/40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8240 divided by -206\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -9*y**2 + y - 1. Suppose a = 3*h - 11 + 28, -4*a = -3*h - 23. Let b be k(a). Let p = b - -52. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4572 + -4487. Solve 84*x - p*x = 6 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 - 164.1. Suppose 0 = -l + 5, 4*l - 12 = -f + 12. Let h be (-4)\/(-6) - 0 - 1. What is the nearest to z in f, 1\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.15 + 3.35. Put -2\/15, 2, 0.4, j in descending order.\nAnswer: 2, 0.4, -2\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-1 + 9 - 4). Sort s, -2\/11, -3, -2.\nAnswer: -3, -2, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/21)\/u*u*u*((u*u\/(u*u**2*u))\/u)\/u*u)\/(u\/(u**(-1\/2)*u)*u)**43*(u**0)**(9\/5)*(u**0)**5 assuming u is positive.\nAnswer: u**(-2797\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2554 + 7622 = -4*u, 3*r = 5*u + 3809. Suppose 15*v - r = 14*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 20. Let r(s) be the third derivative of -s**5\/40 + 53*s**3\/3 + 257*s**2. Let t(b) be the first derivative of r(b). Determine l(t(o)).\nAnswer: 6*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z - 30 - 355 - 892 = 718 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(425)*-1 + sqrt(425))*5)**2 + 4*(sqrt(425)*2)**2.\nAnswer: 6798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2117)\/522)\/((-6)\/(-12)) - -8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 507045\/18352 - 1021\/37. Let j = l - -152\/31. Find the common denominator of j and -65\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2. Let u(z) = 142076121*z. Give u(h(g)).\nAnswer: -426228363*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 711157098?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/11 - -1\/33. Let q = 5 + -7. Let u be 3*(0 + q\/(-3)). Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 896 = -d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -100*a**3 + 2*a**2 + a + 1. Is g(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:58 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119657, 121617, 123577?\nAnswer: 125537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2928, -23395, -78958, -187167, -365572, -631723, -1003170?\n\"Answer: -2925*m**3 + 2*m**2 + 2*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1016 and 1112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-560)*(-2486)\/3729\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4670, -9321, -13972, -18623?\nAnswer: -23274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2366 + 515 = -3*b, -b = -5*n - 589. What is the greatest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 35 = -22320*j + 22315*j, -5*j + 3*q - 35 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((0 + 2 - ((-32 - -41) + 2)) + 76)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = a - 7, 3*g + 2*a = 15 + 1. Let i(s) = s**2 - 8*s + 1. Let y be i(8). Let n = y + g. Let q(j) = -j**3 + 4*j**2 - 2*j - 4. Determine q(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*p + 10 = l, 0 = -p + 5. Let q(k) = k. Let r(o) = 4*o. Let b(j) = l*r(j) + 3*q(j). Let d(s) = 5*s. Let f = 5027 - 5028. Give f*d(n) - 2*b(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3761692 divided by 11\nAnswer: -341972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104227 is divided by 2603.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -364*w - 364. Give q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.596 - -0.194. Let s = z - 0.09. Let l = 1 - s. Do 1 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1583 - 1484. Let h be 13*2 - (0 + -2). Let f = -17 + h. Calculate the highest common factor of f and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:00 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 9:51 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 3 + 5*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -891198 to the nearest ten thousand.\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.6 - -2.4. Let u = v + -57.8. What is u rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -5, 4, 3 in descending order.\nAnswer: 4, 3, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19*v + 1. Let h be q(-1). Let c be ((-63)\/15 - -3)\/((-3)\/h). Let o be (-10)\/((4\/2)\/(-4)). Calculate the highest common divisor of o and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 8, s: 3}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4338900*-0.13.\nAnswer: 564057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from khaaadaddd.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-234)\/(-39))\/((-6)\/(-4)). Solve 2*i = -a, i - 3 = 3*j - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/8989 or 1?\nAnswer: 6\/8989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(25\/10))\/((-2)\/60). Suppose -3*k = -0*k - t. Let z be 0*(-3)\/9 + k\/18. Which is the nearest to z? (a) -2\/15 (b) 9 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*b**2 + 89*b**2 + 14*b**2)*(3*b - 2*b + 2*b) in the form z*b**2 + o*b**3 + p + a*b and give o.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 2*b**3 - 4*b**3 + 6*b**2 in the form l*b**3 + s*b**2 + c*b + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 41007540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + (12 - 4) - (-21 - 1)) + -36?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p = 1071 + 4341. Calculate the lowest common multiple of 21 and p.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -36727?\nAnswer: 36729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 708278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 3\/2 (c) 0.5 (d) -217685\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-25) - (-2 + 88\/10). Let k be (-24)\/y + (-4 - 29300). What is k rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 15*i**2 - 6 - 11 + 4 + 9*i. Let p(h) = -7*h**2 - 4*h + 6. Let n = 1 + 1. Let x(j) = n*r(j) + 5*p(j). Let v(s) = s**2 + s - 1. What is -4*v(c) - x(c)?\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 23518*o - 6*o**2 - 23517*o + 3 - 51*o**4 - 6 in the form w*o**2 + s*o + u + l*o**4 + p*o**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -253345672 + -3?\nAnswer: -253345675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.964844 to 2 dps.\nAnswer: -1.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**6\/1980 - j**5\/165 + j**4\/44 + 2*j**3\/3 - 8. Let n(t) be the third derivative of v(t). Factor n(h).\nAnswer: 2*(h - 3)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1)*h)**(14\/5))**(-2\/9))**(-1\/7) assuming h is positive.\nAnswer: h**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5753\/7 - -822. Sort -1\/8, 6, f.\nAnswer: -1\/8, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*w - 27, -2*x + 7*x + 2*w + 10 = 0. What is the nearest to 1\/3 in -2\/5, -0.6, x, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(3072) + sqrt(3072)*-2 + sqrt(3072) - sqrt(3072)) + sqrt(3072) + sqrt(48))**2*-6.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1952, -1961, -1972, -1985, -2000?\n\"Answer: -u**2 - 6*u - 1945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let i be ((-1)\/3)\/(19\/(-6)). Let b = -16 - -12. What is the biggest value in i, b, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 10. Let s = v + 4. Let n(q) = -6*q**2 + 5*q + 4. Let f(r) = -r - 1. Let u(i) = -3*f(i) - n(i). Calculate u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d**3 + 6 - 65 + 7 + 6 + 46.\nAnswer: -38*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/104)\/(88\/(-2288)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -141 - -133 - (3 - -19)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4339, -16884, -37763, -66976?\n\"Answer: -4167*v**2 - 44*v - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 19, -51, -121, -191, -261?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -11*f - 2. Let a(z) = -z + 9. Let j be a(8). Suppose -4 = -3*k + 2*d, -d - 1 = j. Sort -2, f, k in ascending order.\nAnswer: -2, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2461414*j - 12500931.\nAnswer: -2461414","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-136)\/(-24) - 2\/3. Suppose f + 0*f = 4*m + 15, -3*f + h*m = -45. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -494, -2402, -5608, -10100, -15866, -22894, -31172, -40688?\n\"Answer: 2*q**3 - 661*q**2 + 61*q + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-30)*(-33)\/(-22).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4) + (-4 - -5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30275 - 29591 = -114*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, u: 3, c: 1, p: 3, s: 1}. What is prob of sequence upcu?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 242*w - 227*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -80*g**3 - 4*g**2 + 7*g - 7. Let x(b) = 27*b**3 + b**2 - 2*b + 2. What is 2*t(m) + 7*x(m)?\nAnswer: 29*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/(8\/(-8))*18\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 5*l - 3. Let t be x(6). Let s = t + 9. Let q(i) = s*i + 3*i - 4*i. Let d(z) = -5*z**2. Determine q(d(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 6433938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/512941 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/(-160) - (-16)\/40. Let t(c) be the first derivative of 1\/2*c**2 - 4\/3*c**3 + x*c**4 - 5\/8*c**6 + 0*c + 1 + 4\/5*c**5. Find n, given that t(n) = 0.\nAnswer: -1, 0, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 9\/7, -9762, 4?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(((-66)\/(-4))\/1). Let m(w) = w**2 - 3. Let g be m(-2). Let i be (9 + -3)*(0 + g\/(-2)). Which is the closest to i? (a) o (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6976.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(32\/384)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4516*v + 5*v**2 + 0*v**2 + 4516*v. Let n = 10 + -4. Let k(j) = -n*j + j + 2*j. Give k(q(z)).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 193, 464, 747, 1048, 1373, 1728?\n\"Answer: m**3 + 264*m - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) 5\/3 (b) -2 (c) -0.05 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - -49. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1503176 and -145\/24.\nAnswer: 4509528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-340)\/150)\/(391\/(-460)). Let v(j) = j**3 + 5*j**2 + 4*j + 4. Let p be v(-4). Factor 2*s**2 + 4\/3*s**3 - r*s - 2\/3*s**p - 8\/3.\nAnswer: -2*(s - 2)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1555*o = -1590*o + 54250. Calculate the lowest common multiple of o and 75.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 15*v + 3*m - 1331 = 0, -2678 = -2*v + 2*m. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 3*i**2 - 4. Let l be w(-5). What is the second derivative of 135*u**4 - l*u**4 - 8*u - 72*u**4 wrt u?\nAnswer: 204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/14)\/((-2)\/(-8)). Suppose 2 = -2*c + a*q, -c - 7*q = -3*q - 14. Calculate the remainder when 117 is divided by (-362)\/(-12) - c\/12.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145175 divided by 5807.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 217294.\nAnswer: 2\/108647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.268 - 0.032. Let i = -2\/79 - -164\/237. Which is the closest to i? (a) y (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000358 to 7 decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x**3 + x**2 - 1. Determine k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -14442.2 to the nearest 100.\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -40 (b) -0.1 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - 3 - (-3 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) - (-4)\/5. Solve -g*y**3 + 0*y**2 + 2\/5*y - 1\/5*y**4 + 1\/5 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by 117?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2644.526 - 2670. Let p = t - 0.126. Let v = 39 + p. What is v rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m**3\/7 - 12*m**2\/7 - 22*m\/7 + 12\/7 = 0. What is m?\nAnswer: -1, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47862807 + 89718*u + 47862807.\nAnswer: 89718*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4268 = 345*z - 4613 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 202.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2177 + 1130. Is 0 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2712 - 3824. Let f be 2\/5 - s\/20. Factor -3*j - f + 56 + 3*j**2.\nAnswer: 3*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123182, 246347, 369498, 492635, 615758, 738867, 861962?\nAnswer: 985043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 p when four letters picked without replacement from {a: 8, k: 4, p: 1}?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*z = 377952 - 161443 + 442345. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 666, -0.06, 0.3 in decreasing order.\nAnswer: 666, 0.3, -0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*3*sqrt(200) + sqrt(200))**2 + 4 - (1*(sqrt(200) - (sqrt(200)*1 + sqrt(200) + -5 + sqrt(200)) - (sqrt(200) + 1 + sqrt(200) + -1)))**2.\nAnswer: 400*sqrt(2) + 35977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158070 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*(((t*t**(13\/3))\/t)\/t)\/t))\/(t\/t**(11\/2)))\/(t\/(t\/((t*t**(-2\/101)*t)\/t)*t)*t*t*t\/((t**45\/t)\/t)))**(-6\/19) assuming t is positive.\nAnswer: t**(-25565\/1919)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-3) - 71\/(-213)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 5*m. Suppose -2*h - 4*h + 84 = m. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 - -8.5. Let n = w - 4.34. Round n to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 61*t + 909. Determine o(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16162134.\nAnswer: 2, 3, 151, 17839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + 103. Suppose -3*y + k = -12*y. Is -13 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-244)\/((-782)\/(-1870) - 3\/5). Suppose 0 = -44*u - o + 10890. What is the remainder when u is divided by 113?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from ewedwevvwwewvvw?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*b, -4*b = -h - 5*b + 199. Suppose 6*d - h = 6. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 12. Let z be r(-10). Let g = -20 - -25. Suppose -4*b + 4*a - g + 1 = 0, 2*a = 4. Solve 0 = i + 3*n - 5 + 18, -z*i = -3*n - b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.126.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -42.5. Let j = -11 - y. What is the closest to -0.1 in -4, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 25*t + 46. Determine o(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2157.451 to the nearest integer.\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29, -449, -1595, -3827, -7505, -12989, -20639?\n\"Answer: -60*l**3 - 3*l**2 + 9*l + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -635, -4652, -15449, -36416, -70943, -122420, -194237?\n\"Answer: -565*v**3 - 62*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16289465 is divided by 215.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/2*(-52)\/6. Calculate the remainder when 1 + -4 + y\/3 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 47*x**2 - 5*x + 5. Let o(b) = 48*b**2 - 6*b + 6. Calculate -5*o(a) + 6*w(a).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9699)\/366)\/(5\/10)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(159\/14 + 32\/336*-9).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32886 - 32876. Let d(h) = 3*h**2 - 30*h - 21. Calculate d(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Suppose 0 = -4*a - i*a. Suppose a = -4*f + 265 + 51. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 511\/(4\/(-7) - 3\/7). Let i = -507 - j. Solve 15 = o + i*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:27 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 288355928 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1771 + -1713. Which is smaller: h or 636\/11?\nAnswer: 636\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8058022 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kypykyyyyzyyzpzpy. Give prob of sequence zp.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3198 and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356 - 136. Let z be g\/8*8\/(-10). Let y = 42 + z. What is the least common multiple of 14 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + o**3 + 2*o**2)*(331*o + 1324 - 1324) + 2*o**4 + 0*o**4 - 4*o**4.\nAnswer: 329*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -6\/81883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 760 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*-3 - sqrt(114)) + sqrt(114))*-4 - 3*3*sqrt(114))\/((-2*2*sqrt(18) + sqrt(18))\/(1*sqrt(363))).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 + -477. Let c = u - -307. What is the nearest to 1 in 0.5, -2, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112948 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -817242 + 1329199. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 300088*f**2 - 283*f - 237 wrt f?\nAnswer: 600176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13560235 less than 5?\nAnswer: -13560230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34151 + 121400?\nAnswer: 155551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbsssbsbbbsbb. What is prob of sequence sss?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 25\/4*b**5 + 0 + 20*b**3 - 7*b + 10*b**2 + 75\/4*b**4. Factor f(s).\nAnswer: 5*(s + 1)*(5*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j = 81*j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -908*a**3*s**4 - 4666*a**3 + s**4 wrt s?\nAnswer: -3632*a**3*s**3 + 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*q = 5, 0 = q + 2. Let c be 325\/(-45) - (-8)\/36. Let f(r) = 2*r - 8. Let l(t) = 3*t - 12. Let i(h) = c*f(h) + 5*l(h). What is i(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*f**2 + 341*f - 58*f + 38*f**2 - 283*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 4)*(0 + 1 - 2)*(f**3 + 0*f**2 + 0*f**2) + 2 - 2*f**3 - 2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 171.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-11 + 2 + 1 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 2*r**2 - 2*r**2 - 3*r**2 - 9*r**2 + 7468.\nAnswer: -12*r**2 + 2*r + 7468","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 6630\/7 - 312\/273.\nAnswer: 11352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 18 = 4*s, -q + 3*q + 5*s - 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2153 is divided by ((-2146)\/(-8))\/((-1)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*u + 48 = -239*u. Solve -6 = -v + 3*g, 0 = u*v - g + 6 + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -120*1\/(8\/6). Let a = 96 + m. Is 29\/4 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((5 - 0) + -1 + -1)\/1. Suppose 2*g = -c*d + 843, -5*g + 1131 = 4*d - 0*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 34. Let g = 1 - -1. Let h be g\/k + 104399994\/(-12). Round h to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 28, 95, 198, 337, 512?\n\"Answer: 18*k**2 - 23*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*g + 507*g - 111*g - 116*g - 117*g - 6*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2418, -6373, -10328, -14283, -18238, -22193?\nAnswer: -26148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569654507?\nAnswer: 6301, 90407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*b - 40 = 0, -7 - 8 = -3*b. Suppose 0 = l - j*l + 88. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -6*i**2 - 33*i - 224. Let g(b) = 3*b + 8. What is 9*g(h) + 2*q(h)?\nAnswer: 3*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 816.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.33 - 2.1. What is m rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3833.5*-0.93.\nAnswer: -3565.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217601 is divided by 107700?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -6*p**4 - 40*p**3 - 78*p**2 - 36*p = 0.\nAnswer: -3, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 79.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b515 (base 12) to base 3\nAnswer: 1000002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*b**3 - 22*b**3 - 768*b - 30*b**3 - 24*b**3 to f + k*b + a*b**3 + c*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 2*s + 74, -5328*s + 5332*s - 3*w = -43 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from dmmmdgmmmgddmmdgmdd?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -33.7. Let t = 3.06 - 0.06. Let g(m) = m**3 - 9*m**2 - 10*m + 5. Let v be g(10). Which is the biggest value? (a) q (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 6*x + 2. Let d be v(-7). Let k = d + -1. Let t(u) = u**2 + u - 20. What is the units digit of t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.394535 and -4.\nAnswer: 1.57814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(5 + -2 + -2). Let h(p) = p**2 + 2*p - 10. Let f be h(-5). Find the third derivative of -17*d**2 - o*d**f - 3*d**3 + 3*d**3 + 7*d**2 wrt d.\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -25. Suppose 0 = -2*j - r + 19. Solve j = -2*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5929, 23727, 53413, 94999, 148497, 213919?\nAnswer: 291277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:28 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -151b36?\nAnswer: -151b2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 2. Let z(q) = q + 12. Let s be z(0). Suppose 3*a + 4*u = -a + s, m*u + 15 = 0. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 30, 28, 6, -42, -122, -240, -402?\n\"Answer: -z**3 - z**2 + 22*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*w**3 - 11*w**2 + w + 4026?\nAnswer: -159*w**2 - 22*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = -52 + 92 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 350419579 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 4*b**3 + 2*b**3 + (0 + 2*b + 0)*(-7*b**2 + 0*b**2 + 2*b**2) + 4*b**3 + 4*b**3 - 7*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558958 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136117?\nAnswer: 79, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (0 - (-12 + 10) - (6 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9*y + 28 = 0. Let w be ((-36)\/(-81))\/(y\/6). What is the smallest value in 0.1, 0.8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/11080 and -101\/66480.\nAnswer: 66480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 3 in decreasing order.\nAnswer: 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2*3*(-2)\/(-16)*4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1153937 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10151927593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1952*g**4 + 268*g**2 + g wrt g?\nAnswer: -46848*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 3*y - 183. What is p(-15)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -1\/1140*r**6 - 1\/285*r**5 - 4*r**2 + 0*r**3 + 0*r**4 + 0*r + 0. Factor j(c).\nAnswer: -2*c**2*(c + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 466 and 29342?\nAnswer: 6836686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-20))\/(-2*(-3)\/(-6))*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -655, -1366, -2079, -2794?\nAnswer: -3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/(-4*(-5)\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -272*r + 10. Let h be l(-5). Round h to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24771992 and 3825?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 9 + 8. Let x = -20 - -17. Sort 0, x, -4, q.\nAnswer: -4, x, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 5*v - 3. Let q = -130 - -128. Let t(y) = 7*y + 27. Calculate the remainder when t(q) is divided by m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 329*i**3 - 11*i**2 - 10*i. Let t be f(-10). What is t rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1736)\/(-21) + (-16)\/24. Solve -2*a - z + 72 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(1 + sqrt(1008) + -1))**2.\nAnswer: -96*sqrt(7) + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -8. Let n = v - 1. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 41. Let a be d(12). Solve 4*f + 1 = -a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20674, 41350, 62026, 82702, 103378, 124054?\n\"Answer: 20676*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -93. Suppose 55*z - 51*z - 276 = s. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 35 = -2*g + 533, 4*g + 655 = 5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 14.28?\nAnswer: 14.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/80 and -181\/90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 163\/(1 + (-3 - -1)). Let q = -161 - c. Solve -f = -q*l + 2, f - 3*l + 4 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9631 + 9628. What is the closest to -2\/9 in r, -12, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/160*(-280)\/(-84)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153566, 153312, 153058, 152804?\nAnswer: 152550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50229025 to the power of 1\/2, to the nearest integer?\nAnswer: 7087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209769 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*v + 585*v + 671*v + 487*v + 6 - 6.\nAnswer: -808*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(2 + sqrt(1053) + sqrt(1053)) + (sqrt(1053) - (sqrt(1053)*1 + sqrt(1053)) - sqrt(1053)) + 0 + -2)**2.\nAnswer: 2160*sqrt(13) + 151732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-109509\nAnswer: -10950.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 1188 + 837 = -126*w. Factor 0 - 9\/2*l**w + 21\/2*l**2 - 11\/2*l - 1\/2*l**4.\nAnswer: -l*(l - 1)**2*(l + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 110 = -11*m. Suppose 4*y + 5*s = 40, 3*s - 4 = -y + 6. Is m at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38*1\/2 + -10*8\/(-20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.463 - -18. Let p = f + 0.163. What is the third smallest value in 0.87, -2\/9, p?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 3}. What is prob of picking 2 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11960\/27 + -443. Which is the second smallest value? (a) 2 (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*w + 61*w + 1550 = 0. Suppose w*j = 312*j + 23940000. Round j to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000079541 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*d = 4*d - 12, 2*k = -2*d. Let u(j) = -27*j**2 - 4*j - 12. Let n(i) = -26*i**2 - 4*i - 11. Let g(p) = k*n(p) + 2*u(p). Is g(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -103*r - 104*r + 18 + 208*r. Calculate the remainder when 68 is divided by a(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31.2, 3, -1, 1\/95, 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 49 - -472\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -57.19 times 418\nAnswer: -23905.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 5, u: 14}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 23*s**2 - 8*s**2 + 6*s**2.\nAnswer: -25*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010110 (base 2) to base 7.\nAnswer: -666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 6, e: 2, s: 2}. What is prob of sequence ces?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10637828*y**3 + 1028757*y**2 + 2*y?\nAnswer: 63826968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2565195 by -855065.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6408 = 4*g, f = -20*g + 19*g + 1596. List the prime factors of g.\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**1))**(20\/11)\/(q**(2\/33))**(-4\/3) assuming q is positive.\nAnswer: q**(-172\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3)*3*-8*40\/(-128)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 49*h = 87. Let i(z) = -9*z**3 - 3*z**2 + 4*z + 7. Is i(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 4*a**2 - 2*a - 6. Let g be m(-4). Let s be (1\/g)\/((-3)\/(-36)). Suppose -o + 2*o - s = 0. What is the lowest common multiple of o and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11274 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -2\/13, -2 in descending order.\nAnswer: 5, -2\/13, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*o - a*s + 5*a + 203*o*s with respect to s.\nAnswer: -a + 203*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2769 = 19*c - 18*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157 + 8*o**2 - 126 + 283.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -371 - -371. Put -3, f, 2 in decreasing order.\nAnswer: 2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12161.\nAnswer: 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o - o)*(18*o - 361 - 17*o + 113).\nAnswer: 2*o**2 - 496*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -499210 equal to -499209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(4\/9)*h*h**(-4\/7))**(1\/7))**(-2\/23) assuming h is positive.\nAnswer: h**(-236\/10143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -28*n**3 + n**2. Let v be g(-1). Let k = v - 41. Let u = k + 22. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-2)\/24)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l - 91. Determine d(12).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(2\/(1 - 3)). Let f(d) = -d**3 - 5*d**2 - 4*d - 4. Let a = 0 - 4. Let c be f(a). Put c, u, -3 in increasing order.\nAnswer: c, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220030300 (base 4) in base 10?\nAnswer: -164656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71232, -71233, -71234, -71235, -71236, -71237?\nAnswer: -71238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjujecjeep. What is prob of sequence cp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340731, 681479, 1022227, 1362975, 1703723?\nAnswer: 2044471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 7, -9, -43, -101, -189?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 5 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -5*r**4\/4 + 9*r**2\/2 - 7. What is the second derivative of n(q) wrt q?\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4)*v)**(2\/59)\/(v\/v**2*v**(-4)))**(2\/3) assuming v is positive.\nAnswer: v**(595\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3252 or -3259?\nAnswer: -3252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - a**2. Let z(s) = -3*s**3 - 9*s**2 - 4*s - 2. Let h(w) = w**3 - w**2 - w. Let f(g) = -4*h(g) + z(g). Calculate f(q) - 5*n(q).\nAnswer: -2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 + -4 - -2) + 30.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 1374.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 69 = 3*t - 5*t, 5*n - 71 = 3*t. Suppose 511 = 76*r - 3*r. Suppose r*k + 72 = n*k. Solve 16*h - k = 12*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 10. Let i be r(-7). Suppose 22 = -3*y - 4*o, -5*y - i*o = -0*y + 26. Let w(k) = 84*k**2 + 1. Is w(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-425))\/3 - 0. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 e when four letters picked without replacement from etteteteteteteee?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58694 - 58682. Let g(y) = 19*y**3 + 3 - 2*y**2 + 3*y**3 - 2. What is the remainder when g(1) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12880 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*w - 66, -4*w + 2*w + 372 - 406 = 2*a for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*v - 50*v - 4*s - 4, 4*v - 2*s - 14 = 0. Sort v, 10, -5, 5.\nAnswer: -5, v, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*o = -28, o - 4*o - 12 = 0. Let u be 11 - ((-12)\/f - 4). Suppose -21*y + 36 = -u*y. Solve 0 = y*i - 2 + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58615\/16 + -3661. Let l be ((-2)\/(-3))\/((-160)\/(-759)). Let q = l + w. Calculate the common denominator of 87\/16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1745*d**4 - 5250*d**4 + 1752*d**4 - 7*d - 56*d**2 + 1752*d**4 + 2*d**3 to the form s*d**2 + p*d + i + y*d**4 + r*d**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {n: 3, r: 1, v: 2, p: 1, o: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2448)*-2)**2 + -2 - (sqrt(2448) + (2*sqrt(2448)*-2)**2 + sqrt(2448))) - (((-2 + sqrt(2448))*-2)**2 - (sqrt(2448) - (1*sqrt(2448) + 0))).\nAnswer: 312*sqrt(17) + 137082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*y = -59, -5*p + 52 = -y - 83. Let n = 8 + -5. Calculate the remainder when p is divided by 15*n\/((-18)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - -6*sqrt(12)) + (sqrt(9)\/(2*sqrt(3) + sqrt(3) - sqrt(3)))**2 - sqrt(24)\/(sqrt(8)*2)*4) + -3.\nAnswer: -9\/4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/((-1012)\/37444).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -1 + 2*n + 2*n**2 + 4\/3*n**3. Calculate y(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 20 = 4*y, -2577*h - 201 = -2570*h + 29*y for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9329*a**4 + 156*a + 31 wrt a?\nAnswer: -111948*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 65. Which is smaller: 1\/6 or s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -33*l**3 + l + 1. Suppose -2*r - 22 = 2*x + 2*x, 2*r = -5*x - 27. Is p(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 8.6, -145597, 0, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/z)\/z**(-16) assuming z is positive.\nAnswer: z**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 720*x**2. Let j(g) = -9. Let k(q) = q + 54. Let r(v) = 6*j(v) + k(v). Calculate i(r(a)).\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**5\/5 + 11*m**3\/3 + 10*m**2 - 19*m. Let u(q) be the first derivative of x(q). Differentiate u(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165599154 divided by 7.\nAnswer: -23657022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 + (-7964)\/(-21177). What is the second biggest value in -1\/4, -144\/11, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + (-65)\/15)\/((-3)\/2). Let i(g) = -4*g + 3. Let r be i(0). Let k be (5\/(5\/r) - 2)*2. Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -5 - (0 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2894847 * 55.\nAnswer: -159216585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 - 18*n + 31. Let u(a) = -a**2 - a + 1. Let s(d) = f(d) - 2*u(d). Let o be s(-14). Calculate the greatest common divisor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, o: 3}. Give prob of sequence moo.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12217155*z - 6824028.\nAnswer: -12217155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/853 - 16273\/18766. Let l = 4\/11 + x. Let i = -79439\/11992 - 1\/1499. Find the common denominator of l and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1*sqrt(132) + sqrt(132) + sqrt(132))\/sqrt(6))\/(-4*(1*sqrt(128) + sqrt(128))))**2.\nAnswer: 2475\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6\/13 (b) -4 (c) 8 (d) -1 (e) -9 (f) 21\/32 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 - 554?\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 254, 0.4, -46\/9, 4 in descending order.\nAnswer: 254, 19, 4, 0.4, -46\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -368 + 371. Sort 5, p, -2 in increasing order.\nAnswer: -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m - 8568 = 63*m. What is the greatest common factor of m and 765?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3451 and 663561.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 - -203. Let p = 71.3 - u. Let s = -7 - p. Which is the second smallest value? (a) 2\/11 (b) -2\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.284 - -0.26. Round c to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11615 is divided by 1382.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88.5345413 + 6.4651877. Let v = -153 + 248. Let l = v - r. Round l to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 254 = l - 143, 0 = 4*l + 2*q - 1676. Calculate the lowest common multiple of l and 3.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2 - 238*k - 57. What is b(46)?\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z + 205 = 0. Let y = z + -37. Let w(x) = 9*x**2 + 6*x - 9. Does 29 divide w(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 844733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let p = v - 1. Let s be (-12)\/(-30) - 13\/(-5). What is the closest to 0.2 in s, 4\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.7 (b) 31 (c) -5 (d) 3\/5 (e) -0.8 (f) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 86*r. Let g(o) = -906125*o. What is w(g(m))?\nAnswer: -77926750*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p + 45. Give d(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2.07712 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 1\/3, -1024464, -1, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 952 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(11\/3)\/(c**(-1\/12)*c))\/(c*c\/c**(4\/3)*c*c)**22)**(-42) assuming c is positive.\nAnswer: c**(4697\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 21*p + 1. Calculate c(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2630, 2, -11 in increasing order.\nAnswer: -11, 2, 3, 2630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21090.03 milligrams to micrograms.\nAnswer: 21090030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -6, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/5 (b) -9 (c) -5 (d) -16.7013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7065*s**3 - 3345*s**3 - 3341*s**3.\nAnswer: 379*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 divided by 22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s + 3. Let z be -2 + (-1 - -2 - 2). Let r(p) = -p + 1. Let y(i) = z*r(i) + m(i). What is the second derivative of y(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46879 * 0.2.\nAnswer: 9375.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l - 3*p = 32, 0 = 4*l - p - 84. Suppose -4*v + l = -2*h - 16, -5*h = -4*v + 47. What is the highest common factor of 28 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18181044 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -284 - -1327. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -58. What is the derivative of -f**3 + 7*f**3 + q + 3 + 5 wrt f?\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = 6. Suppose -3*s = -2*l - 8*s - 21, 0 = -4*l + s + 13. Let j be 24\/4*(6 + -5). Solve -j*d = -3*b - l*d - 18, f*d = -5*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2. Let d(n) = -4538720*n. Give d(a(t)).\nAnswer: 22693600*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 338 + -324. Which is the second smallest value? (a) -3 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwt when three letters picked without replacement from {e: 1, v: 2, t: 1, w: 11}.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 0.06, 0, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 6021*u - 279054. Calculate r(46).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 12:30 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.341 - 8.58664. Let p = m - -0.1757. Let j = p - -0.074. Round j to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*f = 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4592783*i - 2546015 with respect to i.\nAnswer: -4592783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-5*f + 2*f + 2*f) - 18*f + 87 - 87 + (0 + 3 - 2)*(5*f - 2*f - 2*f) + 2*f + 1 - 1 + f + 3*f - 3*f - 35*f + f - 33*f.\nAnswer: -79*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27664 = -2*b + 26336. Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31139191319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -27.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 4*z - 2*j, 4*j - 43 - 14 = -z. Calculate the remainder when z is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -20*d**3 + 9547*d**2 - 3290*d - 23372. Determine o(477).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 123. Suppose 0 = -5*r - 5*m + l, -5*r + 2*m + 59 = -0*m. Let c = 4 + r. What is the greatest common factor of 105 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 49 + 83. Let w be 238\/22 - (-6)\/u. Calculate the least common multiple of (-2)\/w + 474\/66 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 12) + (5 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404028552 to the power of 1\/3, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 43*x - 44*x - 157, w - 173 = x. Let m = x + 184. Solve 8*o + 2 = m*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 422, 17, 2\/3, 0.193, 3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2. Let p(m) = m - 3. Let c be -36*3*8\/36. Let y = 26 + c. What is y*p(j) - 3*o(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*v - 9. Solve -5*b = 7 - v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525 is divided by 188?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 169874034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/((-14)\/(-84)). Let o(n) = 2*n + 471*n**l - 2*n - 472*n**2. Let b(h) = -2*h**2. Determine o(b(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*d**2 - 46*b**4*d + b**4 - 2*b**2*d + 4*d**2 wrt b?\nAnswer: -24*b*d**2 - 1104*b*d + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374571223?\nAnswer: 13, 97, 139, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1700) - ((sqrt(17) - (sqrt(1700) + sqrt(17))) + -5).\nAnswer: 5 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -2, 0.05, 15, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let n(l) = l - 1. Let d(j) = -2*j + 1. Let u(q) = 4*d(q) + 4*n(q). Determine h(u(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 3*x**2 + 4*x + 5. Suppose 10*s + 8 = 8*s. Let j be l(s). Solve 5 = j*v - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4124129682 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 1. Let r be t(-6). Let f = r + -2. Suppose f = i - 32. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*r - 1. Let m = r - 7. Suppose -63 = 3*b - 225. Calculate the greatest common factor of b and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/9 + j**2\/6 - 2. Factor t(u).\nAnswer: u*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 21*z - 2280. Calculate the lowest common multiple of z and 21.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 443*p + 4328. Determine m(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 divided by -839?\nAnswer: -247\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -1207 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 361 - 361. Suppose 5*r = 5*q + 40, k = r + 12*q - 11*q - 14. Solve -4*u + 3*s = -17, 4*u - 2*s - r = -s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 4749*u - 33336. Give o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 0 (c) -5 (d) -7 (e) 0.2 (f) -1.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13714845 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/3 - 1992*s**2 - 37975*s + 119900\/3 = 0.\nAnswer: -20, 1, 5995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/128 and 17\/144.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1652\/(-70) - (-200)\/8.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -16*o - 419. Let a be u(-43). Let f = a - 264. Solve -3*w - 10 = -f*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 3, p: 1, j: 2, w: 1, x: 3}. Give prob of sequence wl.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -14. Which is the nearest to 2? (a) o (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 - 1 + 471*s**3.\nAnswer: 471*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 388\/(-6)*(-44 - -32). Suppose 4*x - 3*a - q = a, -x + 179 = 2*a. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**3 - 3*w**2 + 126*w - 2. Let q(x) = -24*x**3 - 10*x**2 + 376*x - 8. Give -14*h(f) + 4*q(f).\nAnswer: 2*f**3 + 2*f**2 - 260*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (5 + -7 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1093 and -4293.\nAnswer: -4291.8907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2. Let d(a) = 518985*a - 15. What is d(y(r))?\nAnswer: 1556955*r**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10043 is divided by 436?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (8 + 132\/(-3)). Calculate the remainder when 59 + (-5)\/((-25)\/g) is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 + -3212\/15. Let a = -1.94 + 2.3. Let d = a - -0.04. What is the second biggest value in 0.1, d, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 45*y**2 - 34*y - 29. Let s be f(-7). Let g = s - 1272. List the prime factors of g.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260904212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 + 5*m - 1. Let r(n) be the second derivative of -n**4\/4 - 2*n**3\/3 + 3*n. Give -2*h(o) - 3*r(o).\nAnswer: o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 0.41, 0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, -36 in ascending order.\nAnswer: -36, -17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1\/606, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244881055 is divided by 272.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - 48723\/(-436)) + -75\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 - (-7 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*d + 128 = 0. Suppose -7*b - d = -11*b. Suppose -5*w = 4*t - b - 35, -3*t + 4*w + 46 = 0. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193 + 214. Calculate the highest common factor of p and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 - 1 = 0. Suppose 3*h - 3*p - 135 = 0, p + 221 = f*h - 0*p. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5963 and 4489.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5\/4 - 103083*a**4\/4 - 206145*a**3\/4 + 309243*a**2\/4 + 103074*a - 103077 = 0.\nAnswer: -34359, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 6*d**4 + d**3 - d**4 - 3*d - 4*d**4 in the form v + n*d**2 + f*d**4 + z*d**3 + h*d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1101*u**2 - 1270*u - 11. Let n(m) = -220*m**2 + 254*m + 2. Let t(w) = 2*a(w) + 11*n(w). What is the second derivative of t(y) wrt y?\nAnswer: -436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*b - 1 + 3*b)*(0 - 4 + 3)*(-5 + 21 + 0) to the form r*b + z and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 891846 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.42 - 46. Let q = j - -0.68. Let w = 2 + 3. Which is the nearest to q? (a) -5 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1656a (base 11) in base 16?\nAnswer: -5b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*d**2 + 18804*d - 591573.\nAnswer: 3*(d - 31)*(3*d + 6361)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(44)*2 + sqrt(11)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-426)\/(-18) - 21)*(-198)\/24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/193 - -10775\/2123. What is the common denominator of m and 53\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 7}. What is prob of sequence kak?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1042 and 35532.\nAnswer: 35531.8958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102031031 + -1?\nAnswer: -102031032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 23669 = 4*u, -38*u + 5*g + 11789 = -40*u. What is u rounded to the nearest one hundred?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 6444, 2296?\nAnswer: 6444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 4*i + 2. Let x be j(6). Let d(y) = y - 14. Let n be d(x). Let v = 3 - n. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-8)*l**(-9))**(25\/2)*(l\/(l\/l**(-1)))**(1\/9)*(l**(-2\/9))**(2\/25) assuming l is positive.\nAnswer: l**(-29\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*r = -22*r - 147 - 620 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 492 = -117. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/3 + 14*w**3\/3 + 10*w**2 + 26*w\/3 + 8\/3.\nAnswer: 2*(w + 1)**3*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3532 (base 12) to base 16.\nAnswer: -1736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1902344?\nAnswer: 2, 401, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 99362 or 7.886?\nAnswer: 99362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 51*m - 11. Is f(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + -1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2 - b**2 - 12*b - 8*b**2 - 3*b**2 - 3 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 15*a + 52. Let i be x(6). Is (-8)\/(96\/(-513)) - i\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 17*q**2 - 25*q + 43. What is g(18)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 36, 38, 40?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5737, -11476, -17215, -22954, -28693?\nAnswer: -34432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0657*-14323.\nAnswer: -941.0211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1, -260, -6\/11, 3 in descending order.\nAnswer: 3, 1, -3\/7, -6\/11, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.0535 centuries in decades?\nAnswer: 5160.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d + 3376 + 3345 + 3337 + d - d**2 - 13398 + 3340.\nAnswer: -d**2 + 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/12*4\/(-6). Let o = 5 + -12. Let x = -9 - o. Which is the biggest value? (a) x (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/27 and 3\/(-12) + 1403\/(-2070).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(-20) + (-4 - -2). Let i(g) = -g**2 - 2*g - 4. Let z be i(-3). Which is the second smallest value? (a) 0.1 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + -0.12. What is the third smallest value in 3\/2, g, -2\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 25*r + 4. Suppose -b + 5*y - 2 = 0, 5*b + 13 = -5*y + 3. Let q be (1 + 0)*(b - -5). Is l(q) 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 46091218, 46091216, 46091212, 46091206, 46091198?\n\"Answer: -b**2 + b + 46091218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 508, 508, 518, 544, 592, 668?\n\"Answer: q**3 - q**2 - 4*q + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -21201202100120000?\nAnswer: 21201202100120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - o. Let w(h) be the second derivative of h**7\/2520 - 3*h**4\/4 + h**2 + 25*h + 2. Let b(k) be the third derivative of w(k). What is b(y(i))?\nAnswer: i**4 + 2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 4*a + 10. Let z be t(2). Suppose 15*y + z = -8. What is the smallest value in 0.1, y, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42684292349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 41. Let c be h(6). Suppose -2*r = c*w - 65, -19 - 3 = -r + w. Solve -5*b = 2*y, -3*y + 4*b = -b - r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122000 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)*a)\/(a**10*a))**(-26) assuming a is positive.\nAnswer: a**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160136 and 1184.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11197.\nAnswer: 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/5 (b) 0.3 (c) -132 (d) -11248 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7875?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.20734 micrometers to meters.\nAnswer: 0.00005020734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -257850 - -2320826\/9. Determine a so that -40\/3*a**2 + k*a - 4\/9*a**4 - 32\/3 + 4*a**3 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 9. Let r = o - -20. Let d = -14 + 59. Calculate the greatest common factor of r and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, -1\/23, 46, 0.06, 1, 0.3 in descending order.\nAnswer: 46, 1, 0.3, 2\/31, 0.06, -1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-32))\/(-2 - 1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*o + 43220, 43206 = f + 16*o - 17*o. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2075 - -3?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a**3 + 61*a**2 + 142*a + 29. Calculate q(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(2\/(-4) - -1). Suppose -w*v = -3*f + 65, 7*f + 2*v = 2*f + 67. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7841 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 168*r + 271. What is the thousands digit of b(-69)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 5*z + 2767 - 1102 - 1370, -7*z + 8 = -3*z for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.031 + 0.131. Let g = 25 - 13. Let f = g + c. Which is greater: f or -3\/14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/13))**(-43))**(-20) assuming k is positive.\nAnswer: k**(1720\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3106828.\nAnswer: 2, 29, 26783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*q - 438. Suppose q = 5*w + 39. What is the greatest common factor of 24 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -31, 44, 149, 284, 449, 644?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**4 + 0*o**4 + 4*o**4 + (3*o**2 - 8*o**2 - o**2)*(-5 + 5 - 10*o**2) to j + r*o + x*o**3 + s*o**4 + m*o**2 and give s.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*a**3 + 0*a**2 - a**2 - 3*a**2 + 3*a**4 + 5*a**2 in the form j*a**4 + x*a + n*a**3 + u + t*a**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1763 and 0.8.\nAnswer: -1410.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 7404*f**2 + 3860*f**2 - 471*f**3 + 2707*f**3 + 3839*f**2 wrt f.\nAnswer: 13416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-40)*-4 - (-9)\/(-10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**5 - 3*k**2 - 8*k**2 + k**5 - 12*k**2 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 11458.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 3, -3\/2 in descending order.\nAnswer: 3, -3\/2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -2\/309, 2, 2\/9, 5, 158, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 19672400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189744690 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 4)*1 + 4.\nAnswer: 8 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.08 - 0.98. Which is the nearest to -1\/2? (a) q (b) 0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 66.5674\nAnswer: 6.65674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51332*h - 20458 wrt h?\nAnswer: -51332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llslllllkslllslll. Give prob of picking 1 k and 1 s.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/(-5) - 2\/(-5). Find the second derivative of 2*v - v**t - 4*v + v wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*x + 31 = 0, p - 3*x - x + 13 = 0. Suppose -2*v = -3*t - 7, p*v = 5*t - 2*t + 12. Solve 2*w - 3*i - 12 = 0, -8*i = -4*w - v*i + 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 smaller than -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 7*n**2 - 6*n + 7. Let d = -2323 - -2330. What is the least common multiple of t(-6) and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 74*r**3 - 22*r**2 - 6*r**2 - 76*r**3 to s*r + z*r**2 + t + q*r**3 and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 935971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28262876183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 23. Let z(b) = 0*b - 2 + 3*b**2 + 4*b**2 + 6*b + 0. What is the tens digit of z(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 433903736 - 0.5.\nAnswer: 433903735.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.027 + 2.027. Let d(x) be the first derivative of x**3\/3 - x**2 + x + 1. Let k be d(2). Which is the closest to 1? (a) 3 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b + 15. Calculate the lowest common multiple of 15 and d(1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(3 - (-368)\/10). Let l = 40 - s. Factor 4\/5*b**2 + l*b + 6\/5*b**3 + 0 + 4\/5*b**4 + 1\/5*b**5.\nAnswer: b*(b + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813099.5ns in seconds?\nAnswer: 0.0008130995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -583, 5, 1\/4, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) - 11\/(-9). Let r(s) = 13*s**2 + 2*s - 1. Calculate the remainder when 41 + -2 + g + 1 is divided by r(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5 - (-9 - -7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 21*a**2 + 74*a + 102. Give j(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.916 plus 2358437961?\nAnswer: 2358437958.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*j = -18, 4*l + 23*j + 18 = 24*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004552952728 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 14*j - 300 = 0. Solve -6*m + 0*m - j = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 1866 = 4*z - 5*o, -o = 2*z - 1858. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 18*z**3 - 11*z**2 - 8*z + 7. Let c(k) = -5*k**3 + 4*k**2 + 3*k - 2. Let g(q) = 7*c(q) + 2*d(q). Factor g(o).\nAnswer: o*(o + 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1326, 1415, 1468, 1467, 1394, 1231, 960, 563?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3182)\/296 - ((-10)\/(-8) + -1). Let x(j) be the third derivative of -j**5\/60 - 13*j**4\/24 - 7*j**3\/6 - j**2. Let o be x(f). Solve i - 4*i = -o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (22 + 4)) + (2 - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121\/3814 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -363.2\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*l + 64. What is the remainder when 70 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/21 - 1661608*o\/21 - 1661606\/21.\nAnswer: -2*(o + 1)*(o + 830803)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1917768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 10*a**2 + 2*a + 1. Let m = -5 - -3. Let b be m\/(-7) - (-216)\/28. Is o(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-255164)\/(-18200) + 4\/1 + -18)*(-5)\/2?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -17*q**3 + 2060*q**2 - 366*q - 281. Calculate u(121).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2. Let t be x(-2). Find the second derivative of 0*m**4 - 10*m**4 - 63*m - 7*m**4 - 6*m**t + m**3 wrt m.\nAnswer: -276*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4590*a**2. Let f(d) = -35*d. What is n(f(v))?\nAnswer: 5622750*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**2\/3 + 93475576*s\/3 = 0?\nAnswer: -23368894, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24551 (base 6) to base 15\nAnswer: -1147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1216053*q**3 - 73*q**4 - 1216053*q**3 - 20*q**2 - 1 as w*q**4 + o*q**2 + i + z*q + d*q**3 and give w.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -35. Let x = 30 + o. Is (597\/15)\/(x\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 235*k**2 + 11084*k + 23100.\nAnswer: -(k - 42)*(k + 2)*(k + 275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 563*n**2 - 1680*n.\nAnswer: -n*(n + 3)*(n + 560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -30*g**2 + 66*g - 69*g + 43*g - 10. Let y be q(-13). Round y to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**7)\/(n*n*n\/(n\/(n**39*n)))*(n\/n**(-30))**(5\/4) assuming n is positive.\nAnswer: n**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 3, k: 5, j: 1, e: 2, q: 3}. What is prob of sequence kj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -198.5 + -0.2.\nAnswer: -198.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/6*8\/(-1). Suppose -5*g + 2*j + 94 = 3*j, -2*j + 80 = x*g. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, 15, 21, 29, 39, 51?\n\"Answer: y**2 + y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (100\/14)\/((351\/(-84))\/13). Let p = j + 3797\/171. Is p bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(3\/10*292\/657).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 495 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 3*q**2 - 4*q + 5. Let c be l(2). Let j(v) = -3*v + 0*v + 4*v + 0*v + c. Calculate j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102021001 - 210?\nAnswer: -102021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 s when three letters picked without replacement from {k: 15, s: 3}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiqiississqiii. What is prob of sequence iq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 5)*(2 - 1 + 0)*(0 + 1 - 2)*(17*h + 12*h - 5*h)*(-2*h + h - h) + (-1 + 1 - 3*h)*(-2 + 2 - h).\nAnswer: -189*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1776.571 and 13?\nAnswer: -23095.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:39 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 14?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5 + 462*b**4 + 416*b**3 - 10032*b**2 + 20192*b - 11040 = 0. What is b?\nAnswer: -230, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 - 7*w**3 - 11*w**3.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 69500000 to the nearest 1000000.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n = 3. Suppose 0 = -5*v + 2*b + 101, 15 + 40 = n*v - 4*b. Let s be v\/((-6)\/(-2)) - 3. Solve -f - s = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(6 - (-1 - -8)) + 329 is divided by 64.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 - 42*a**3 - 264*a**2 + 2112*a + 9216 = 0. What is a?\nAnswer: -6, -4, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 24, 32\/105, 0, 5\/14 in descending order.\nAnswer: 24, 2\/5, 5\/14, 32\/105, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -6. Let i(a) = a**2 + 16*a - 47. Let y be i(-19). Suppose 0 = k + 9*k + y. What is the nearest to k in -0.1, -1\/7, h?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 82*s**2 - 4*s - 3. Let t be h(-2). What is the greatest common divisor of 37 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2529, -2463, -2397?\nAnswer: -2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/(c**(1\/3)*c))**(3\/17) assuming c is positive.\nAnswer: c**(-4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68060*v**2 + 68057*v**2 - 2*v - 19*v + 3*v + 9 - 15*v to the form h*v + o*v**2 + r and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498566.\nAnswer: 2, 3, 379, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 77\/193988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -179, -156, -117, -56?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 13 + 23)*(2*l + 21 + 9*l**2 + 8 - 19).\nAnswer: 9*l**2 + 2*l + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 469, 0.033, -0.5, 2\/5, 2\/15.\nAnswer: -0.5, 0.033, 2\/15, 2\/5, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1))**44)**(3\/47)*((h\/(h*h**(-6)))\/h*h**(-5)*h)\/(h**0)**19 assuming h is positive.\nAnswer: h**(311\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f**7\/f)\/f*f*f))\/f**(-4)*(f*f*f\/(f*f\/((f**(-4\/7)*f)\/f)*f))\/(f**0\/f*f)*((f**3*f*f)\/f**(-6))\/(f**1)**(-12\/17) assuming f is positive.\nAnswer: f**(968\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 12*g = 168. What is the tens digit of (g*-161)\/(-3) - 5*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -912364, -912365, -912366, -912367, -912368?\n\"Answer: -y - 912363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c37 (base 15) to base 11.\nAnswer: -2082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*o = 0, -2*o + 5 = 3*g - 0*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 6*y + 7. Let z be t(5). Suppose 10*g = 7*g + 12. Let f(m) = -4*m + 6 + 4*m - g*m - z*m. Let k(a) = 2*a - 2. Give -5*f(x) - 16*k(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -712900 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 35521 in descending order.\nAnswer: 35521, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**4\/4 - 36905*z**3 + 59498385*z**2\/4 - 1481238500*z - 1496150000 = 0?\nAnswer: -29923, -1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 447959*s**3 - 7995*s**2 + 9*s wrt s.\nAnswer: 2687754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {g: 4, e: 2, b: 2, r: 1, a: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150024\/(2 + 2) - (-8 + (21 - 14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 74*o + 493. Calculate f(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.1, -0.2069, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890.0396 millilitres to litres.\nAnswer: 0.8900396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0666014 to 4 decimal places.\nAnswer: 0.0666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 248 = -4*c, -5*c - 265 = 7*w - 3*w. Let x = c + 60. Determine r, given that 1\/4*r**2 + 0*r + 1\/4*r**4 + 0 + 1\/2*r**x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 158 = -3*o, 0 = -k - 2*k + o + 112. Let u be 9\/(3*(-2)\/(-30)). Suppose y + 2*y = u. Solve -5*c - g = -15, 3*g + y - k = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab07163 - 1?\nAnswer: ab07162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boccobboooooccccoco. Give prob of picking 1 o and 1 c.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(sqrt(320) + -1).\nAnswer: -48*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -33*r**2 + 6048*r + 10547. Determine k(185).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -1)\/(14\/(-42)). Suppose -18 = -r*w - 2*k, 4 + 11 = -5*k. Suppose 0 = -m - 2*o + 7*o + 14, -m + 4*o + 12 = 0. Solve m*f + 0 = w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*49\/((-14504)\/111).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h)*(h + 2*h - h) + h**2 + 0 + 0 + (-3 + 0 + 0)*(-h + 0 + 0)*(-4 - 1 + 3)*(1 - 5 + 9)*(5*h + 37 - 37).\nAnswer: -147*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -31, -2, 43, 92?\n\"Answer: -2*a**3 + 26*a**2 - 63*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 10. Let a = 5 + -7. What is the third biggest value in 3, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u**2 + 17*u**2 - 7*u + 6 - 6*u**2 + 4*u**2.\nAnswer: (u - 6)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 394 + -20. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -38.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*i - 19, 6 = i - 3*i. Let z be 2\/(-4)*(-6 + -4 + p). What is the derivative of -5 - 5*l**4 - 4*l**4 - 2*l**z + 2 wrt l?\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 17, 10, 3, -4, -11?\n\"Answer: -7*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3930653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3876 and 91\/510.\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -3. Let y = 13 - d. Suppose 4*v + 89 = 3*t, -y = 4*v - 0. Solve 5*a - t = -r, -3*a + 2*a + r = -7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655 = -50*k + 2305. Solve 0 = -14*f + k + 23 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 35*i + 12 = -32*i, -3*z = 5*i - 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, 1, 4, -5 in decreasing order.\nAnswer: 20, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1278, 3084, 4874, 6648?\n\"Answer: -8*o**2 + 1830*o - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18497 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.016 - 0.26. Let b = t + -0.056. What is the closest to -1\/3 in b, 2, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**7\/1680 - z**6\/240 - z**4\/12 - 14*z**3\/3 + 9*z - 2. Let t(n) be the third derivative of y(n). Factor t(x).\nAnswer: -3*x*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11806164 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/15 - 4872008*o**3\/15 + 2967038255912*o**2\/15 + 7912179968064*o\/5 + 15824411904384\/5 = 0. Calculate o.\nAnswer: -4, 1218006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/12 - k**2. Let s(n) = 0 - 1 - 2205*n - 2252*n + 1 + 4508*n + 1. Give j(s(l)).\nAnswer: -102*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 71. Is 33 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -29 - (14 + -11) - 60.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 7. Let i be t(-5). Let z(d) = d**2 + 34*d - 398. Let l be z(9). Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34844320 divided by -14\nAnswer: -2488880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 11. Let t be r(-16). Suppose -u + 4*u - 840 = -3*h, 4*h - t*u - 1102 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*x, -x - 18 = -z - 6*x. Suppose 20 - 5 = z*w. Solve g + 0 - w = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**2)**(-15)*v*v*v**5*v*v*(v*v\/v**(4\/5))\/v)\/(((v*v\/(v\/v**(1\/5))*v)\/(v\/((v\/(v\/v**(1\/4)))\/v)))\/(v**(-2)*v*v**2*v)) assuming v is positive.\nAnswer: v**(103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 8. Let o(a) = 20*a + 16. Let g(f) = 5*f + 4. Let j(m) = -26*g(m) + 6*o(m). Let t be j(-6). Calculate the highest common divisor of t and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-45) + (-4)\/18. Let r = 12 - 7. Solve h = -i + 2*i - 4*l - 22, l - 5 = -r*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/7)*g*g**(1\/4))\/((g\/g**2)\/(g*g\/(g*g**(-6)))) assuming g is positive.\nAnswer: g**(255\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.4, -27, -217?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -17.11558?\nAnswer: 3.423116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 + -189. Let i(n) = 3*n. Calculate i(m).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 23. Suppose v = -11*v. Determine n(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 7*u**2 + 10. Suppose -6*z + 4 = -2*z. Calculate the smallest common multiple of z and c(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + 0 + sqrt(325) + -4 + sqrt(325) - (-1*sqrt(325) + 0)) + -4 + 1*(sqrt(325) - (sqrt(325)*-1 - sqrt(325)))*-6 + -3)**2.\nAnswer: 1540*sqrt(13) + 63821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose y - 65 = -o*v, 6*y - 160 = -5*v + 3*y. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t**(1\/4)\/t))\/(t\/(t*t\/(((t**(-3)\/t)\/t)\/t)*t*t)*t**1) assuming t is positive.\nAnswer: t**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 27*b**2 - 27*b - 19. Let f be n(-26). Solve -1 - f = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 10415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49333.\nAnswer: 49333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4799185963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 16*r + 39 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blfb when four letters picked without replacement from abafalbbbaraaala.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -57*a**2. Let k(x) = -41*x**2 - 9. Let v(q) = 8*q**2 + 2. Let c(z) = 2*k(z) + 9*v(z). Determine c(i(y)).\nAnswer: -32490*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*v = 476*v + 1940 - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 27*g**2 + 110*g - 7. Determine w(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 1)*(-7)\/(-3). Let k = 0.0156622 + -21.0156622. Sort 3\/4, k, q.\nAnswer: k, q, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 6*r - 2*r + (0 + 0 - 1)*(0*r - r + 0*r))*(0 - 3 - 2) as i + u*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 13. Let u = s - -16. List the prime factors of u*(6\/3)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4\/9)\/i*i)\/i*i\/(i**20\/i*i))\/(i**(-14)\/(i**(-19)*i)))**(-9\/7) assuming i is positive.\nAnswer: i**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**4\/12 + p**3\/2 - 3*p**2\/2 + 7*p. Determine d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, -5, 334, -2, 1 in descending order.\nAnswer: 334, 3, 1, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -455 + 936. What is the greatest common divisor of s and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153764 = 2427*x - 406172 for x.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 413.\nAnswer: -26\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -17, -20, -11, 10?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*l - 13. Suppose 9 + 3 = l*d. Which is bigger: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 68*t**3 - 21*t**2 + t - 20. Let x be g(9). Suppose 9*a - 29*a = -x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -81, -0.2, -2, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, w: 5, s: 5, y: 5}. What is prob of picking 2 s, 1 y, and 1 w?\nAnswer: 25\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3 - 1302*s**2 + 147147*s - 4980360 = 0.\nAnswer: 77, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165\/(4 + -15) + 18947.\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (325\/104)\/25*40\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -618*x - 22869. Give b(-37).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112012212 - -1120?\nAnswer: -1112011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4961 rounded to 2 dps?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24480451*t**2*x - 2428*t**2 - 6*t - 250 wrt x.\nAnswer: 24480451*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -6*a - 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*s = 18, -2*t - 2 = -5*s - 40. Let z = -11 + t. Determine v so that -v**2 - 2 - 3*v**2 + 3*v + 6*v**2 - z*v**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 35*h**2 - 16*h - 8. Determine t(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d - 185. Let g be i(17). Factor 19*l**2 + 219*l + 248 + g*l**2 - 12*l - 3*l**3 + 102 + 1.\nAnswer: -3*(l - 13)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 20. Let t(p) = -p. Let v be t(b). Sort v, 0.3, -2.\nAnswer: -2, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -33. Let z = 9 - t. Which is the closest to z? (a) -1 (b) 4\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(10)\/sqrt(2)) - -4*sqrt(1215))\/((sqrt(120) + sqrt(120)*-2)\/sqrt(6)*1).\nAnswer: -37*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v = -1556 - 712. Solve -9*c + v = -0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 + 22*i + 3. Let f be s(-11). Let o be (-10)\/8*(-3 + f + -4). Suppose -5 = -c - o*p, -p + 25 = 4*c + c. Solve -4 = c*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 37*c - 5*c**2 - c**2 + 0*c**2 + c**2.\nAnswer: -3*c**2 + 37*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(-29*m - 230 - 229 + 465) to the form b*m + u and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1897 and 5167428?\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 975742473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7427879nm in meters?\nAnswer: 0.0000000007427879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 8:16 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1332, -2835, -4350, -5871, -7392, -8907, -10410, -11895?\n\"Answer: m**3 - 12*m**2 - 1474*m + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215965 + 416857. Let k = 21696487\/108 - o. What is the common denominator of k and 50\/11?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3610.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/182)\/((-8)\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 plus -24.9?\nAnswer: 233.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**2 - 50345*f + 40265340 = 0. What is f?\nAnswer: 876, 9193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 15, j: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005*10.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*(3*m + 0*m - m)*(m + m + 0*m).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255342 + -6?\nAnswer: 255333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -79. Let b be 28\/63*(-9)\/(-2). Solve -b*u = -d*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s - 33*s + s**3 + 33 - 11*s**2 + 7*s - 14*s**2. Is a(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 4*p + 6. Let q be (-93)\/(-15) - (-2)\/(-10). Is 11 a factor of a(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 6*g - 4*a - 1 = 0, -4*a - 11 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73816 is divided by 5634.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -735839.5 times -5?\nAnswer: 3679197.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 930 and 3490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4209.556l to millilitres.\nAnswer: 4209556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from uaaoawayu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 86, 152, 218, 284, 350?\n\"Answer: 66*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*(28 - 0). Let l = 21 - z. Let j = 11 - l. Calculate the greatest common factor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 443?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o**2*q - 2*o*q + 20320*o - 3453451*q wrt o?\nAnswer: 8*o*q - 2*q + 20320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7\/4, 3, -7?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 220560, 220521, 220482, 220443, 220404, 220365?\n\"Answer: -39*f + 220599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 13*r**2 + 13*r - 7. Let p be i(12). Suppose p*c = -19 + 124. Let n = c + 12. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 16*q**2 - q. Let l be t(1). Calculate the highest common divisor of 30 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, -85, -0.1, 16.\nAnswer: -85, -7\/3, -0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**2 + 18*n + 5. Let s(j) = 2*j + 21. Let o be s(-14). What is the hundreds digit of r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4497719 is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 times 6\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 6:56 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 21 - 31 = 4*o, o + 2*r = -16. Let v = o + 6. Let l be ((-18)\/60)\/(v\/5). Which is the nearest to -0.2? (a) 1\/3 (b) l (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5473584?\nAnswer: 2, 3, 38011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 2*a + 3. Let l(h) = h**2 - 120*h + 8. Calculate g(s) - l(s).\nAnswer: s**2 + 122*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 26. Let w(p) = -p**3 - 5*p**2 - 6*p - 3. Determine w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 31 = -3*r + 2*s, 19 = 5*r + 2*s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/27*21*1. Let z(n) = 3*n**2 + n + 20. Let x be z(v). Let w = x - 109. List the prime factors of w.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7915*u**4 - 2*u**3 - 2*u**2 + 2*u - 781597 wrt u.\nAnswer: -189960*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f = -156. Suppose -2*u - 8 = 0, 4*u - 17 - 7 = 2*m. Let t = m + f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103423.4164 to the nearest 10.\nAnswer: -103420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 333*a + 31448*a**2 - 62918*a**2 + 31457*a**2 + a**3 + 0*a**3 in the form h + z*a**3 + w*a**2 + c*a and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - l = -2*j - 2, -2*l - 26 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -578c + -4?\nAnswer: -5793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35271, 70465, 105679, 140925, 176215, 211561, 246975, 282469?\n\"Answer: 2*q**3 - 2*q**2 + 35186*q + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/1259 + 2509\/11331. Which is the third smallest value? (a) t (b) 28 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 + -81. Let g = -36 + d. Let k = g - 32.082. What is k rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7404688ug in milligrams?\nAnswer: 0.0007404688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 2. Let s(b) = b**3 + 27*b**2 + 183*b + 305. Let v be s(-7). Sort 2, d, v, 3 in descending order.\nAnswer: v, 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4028.\nAnswer: 5\/4028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*d - 97*d = -5558749. Does 42 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (520 - 471 - (7 - -1)) + -1 + 0.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37664350 and 4874210?\nAnswer: 414307850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1428948000 rounded to the nearest one million?\nAnswer: -1429000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1106013 + 560?\nAnswer: 1106573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/9, 5, -1\/4 in ascending order.\nAnswer: -1\/4, 8\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**5 - 2*r**5 + 3*r**5 + (-2*r**2 - 7*r**2 + 3*r**2)*(6*r**3 - 5*r**3 + r**3).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14661616 (base 9) to base 8\nAnswer: -33670707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -10 - (0 + 2). Let l = 14 + -9. Suppose i*r - l = 15. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2 + 22, 2*y - w + 4 = 0. Solve 5*b + y*b = 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -7. Suppose 38 = 3*h - 5*t, -g*h + 2*h = t - 20. List the prime factors of 126\/10 + h\/15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46473, -45940, -45407, -44874, -44341, -43808?\n\"Answer: 533*l - 47006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40663895653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/11, -203275, -1, -3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 14031 = -3*z + 9*s, 4709 = z - 4*s. List the prime factors of z.\nAnswer: 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1319 + 2038. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 12. Suppose -12 = -4*k + k. Is k less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/55 - (-10856)\/20. Let o = y + -302. What is the highest common divisor of 48 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 317, -0.3, 2, -3, 0.02 in descending order.\nAnswer: 317, 2, 0.02, -0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 538040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**7\/945 + b**6\/180 - b**5\/90 + b**4\/108 - 3*b**2. Factor l(s).\nAnswer: -2*s*(s - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 6*y + 15. Suppose 5*t + 3*m - 15 = 0, -22*t + 21*t - 25 = -5*m. Solve t = 2*o + g + 1, -o + y*g = 2*g + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56491 + 13967 = 2900*x - 347 - 21995 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**7\/70 - x**5\/10 + x**3\/2 + 2*x**2 + 5. Let y(l) be the second derivative of j(l). Factor y(o).\nAnswer: 3*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 31*r + 9. Let d = -22132 + 22132. Determine a(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b9 (base 15) in base 14?\nAnswer: a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12900 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08858113 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2582420 (base 10) to base 14.\nAnswer: 4b3188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -8. Let n = 133.49 - 134. Let v = n - -0.71. Put v, w, -5 in ascending order.\nAnswer: -5, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m + 11. Let s be c(-9). Let t = 3 + s. Let b be 12\/t + 36\/14. Is 0.2 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y + 98. Let w be (-5)\/(210\/834) + 3\/(-21). Determine h(w).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 11*h - 12*h)*(-h - 2 + 2) + (h - h + h)*(-h + 3*h - h).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 104, 160, 218, 278, 340?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45*(-38)\/(-570) - (-3 + 3)\/3. Suppose 32\/3 + 2\/3*x**y + 4\/3*x**4 + 40\/3*x - 16*x**2 = 0. What is x?\nAnswer: -4, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uouu when four letters picked without replacement from {u: 3, o: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -56\/213?\nAnswer: -56\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(5\/4) - 14\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) 1\/7 (b) -4 (c) -2 (d) 171.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2.5, 5, 0.05807, -0.2, -1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 25*w**2 + 7*w - 18. Let t be g(2). Suppose 200 = -0*i + 5*i - 5*r, -2*i - 2*r = -64. What is the highest common factor of i and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*b - 5*b - 12*b + (0 + 0 + b)*(-4 + 2 + 1).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/5 (b) -0.095 (c) 0.1 (d) 0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2085 and 2175.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o**7\/o)**(12\/13) assuming o is positive.\nAnswer: o**(84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -370.005 - -366. Let m = -0.06 - -4.06. Let d = q + m. Round d to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 60312*r - 1450332. Calculate a(-24).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23521916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 - -258. Solve -3\/4*y**q + 0 + 0*y + 0*y**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t - 33 = -62 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15425*i**3 + 30849*i**3 - 15439*i**3 + 4*i.\nAnswer: -15*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -923*g**2 - 780*g. Let f(z) = 42*z**2 + 36*z. Let l(s) = -65*f(s) - 3*k(s). Let q(h) = -23*h. Calculate q(l(r)).\nAnswer: -897*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 5*s**3 + 0*s**3 - 7*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108793767.\nAnswer: 3, 47, 771587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -31, -29, -25?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -484 + 2433\/5. What is the common denominator of -44\/7 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7312 + 7312 + 687*g)*(4*g**3 + 5*g**3 - 16*g**3) + 5*g**2 + 2*g**4 - 5*g**2 to k*g + i*g**3 + y*g**4 + d*g**2 + m and give y.\nAnswer: -4807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*a**5*w - 37*a*w + 2*w wrt a?\nAnswer: 1000*a**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9418*-1.\nAnswer: -9418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x. Let g = -2603 - -2603. Let q(c) be the second derivative of 1\/6*c**4 + g*c**2 - 10*c + 0*c**3 + 0. Determine l(q(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 133*b**2 + 7*b**4 - 11 + 18*b**3 - 7 - 18*b**3 to p*b**3 + y*b + k + h*b**2 + f*b**4 and give h.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33233 + 4244?\nAnswer: 40510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = 19*p + b - 13, -16*p - 4*p + 5*b = -95 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let w(u) = 51*u - 381 + 381. What is r(w(q))?\nAnswer: -2601*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2 + f**3 - 1 - 37*f + 37*f. Let y(z) = -3*z**3 + 2*z**2 + 2*z - 4. What is 4*v(p) + y(p)?\nAnswer: p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 164*p**2 - p - 799. What is the ten thousands digit of y(-84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 v when four letters picked without replacement from bvbbbvbvvbbv.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzbbzzz. Give prob of picking 2 b and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((1 + sqrt(1584))*-3 + -4)**2 + (2*sqrt(1584) + -5 - ((sqrt(1584) + 4*1*sqrt(1584) + sqrt(1584))**2 + sqrt(1584) + sqrt(1584)))).\nAnswer: -1008*sqrt(11) + 85448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 5, 1.47, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6555 in -493, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0532 * -0.8\nAnswer: 0.04256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(3*1\/(-3) + 2). Let t(z) be the second derivative of 1\/4*z**5 + a*z**2 - 1\/12*z**4 - 2*z - 1\/3*z**3 - 1\/15*z**6 + 0. Factor t(b).\nAnswer: -b*(b - 2)*(b - 1)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4069 and 39125.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:05 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/4 - l**4\/4 + 68*l**3 + 644*l**2 + 1856*l + 1280 = 0.\nAnswer: -8, -4, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/7, -4, -5, 148 in increasing order.\nAnswer: -5, -4, -0.1, 2\/7, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853 = -1572*o + 1406*o - 2633 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 12.99. Let g = 2.99 + w. Sort g, -3, -2 in increasing order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.8*-5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {n: 1, i: 2, k: 5, f: 5, y: 1, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3312 and 5220.\nAnswer: 480240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + -1 + 9 - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3792 + 8939\/2. Let t = k - 673. Determine w so that 0 - 9\/2*w**2 + w**3 - w + t*w**4 = 0.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2760\/2760)\/(((-3)\/(-12))\/((-16)\/(-2)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (10 + 1) - -6) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 6*a - 276. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, -2, -6 in decreasing order.\nAnswer: -2, -6, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -727, 2, 5 in descending order.\nAnswer: 5, 2, 1, -727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 (base 8) in base 11?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i**2 + 5*i - 5. Let p(k) = 9*k**2 + 6*k - 6. Let h = -13 - -19. Let a(t) = h*u(t) - 5*p(t). Let c(b) = 5*b - 3*b + b - b. Give a(c(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -2, 0.243?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005414 rounded to four decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 447\/59 - 1847\/236. What is the closest to 40\/9 in -1\/6, 3\/4, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 24152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1068735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1 - 6 + g + 4. Is 3 a factor of z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 159 = -324. Suppose 70*k - 4 = h*k. Solve 0 = 5*d + 16 + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, s: 1, a: 4}. Give prob of picking 2 a and 1 s.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18946871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 140871 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/92)\/(-3 - -5). Do 1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*t + 18*t + 4*g + 33, -3*g = -3*t - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(-2) + (-13)\/26. Which is the closest to -20? (a) -1 (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*f - 4, -4 = 3*f + 8*l - 6*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 39. Suppose -l - 2*j = -15, -5*l - t*j + 10 = -5*j. Suppose -l = 2*h + 3*h, 0 = -i + 3*h + 141. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l**2 + 4*l - 8. Let r(z) = -2*z**2 - 2*z - 1. Let i(p) = -f(p) + 4*r(p). Let b = 5 + 1. Let q be i(b). Let s(o) = -2*o + 3. Calculate s(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10162896*-0.2\nAnswer: -2032579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 27*z - 62*z + 33*z)*(237 - 237 - 44*z).\nAnswer: 88*z**2 + 572*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169943076.\nAnswer: 2, 3, 1573547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y + 46. Let d(t) = -4*t - 45. Let o(q) = -6*d(q) - 5*h(q). Let z be o(6). Solve z*u - 17 = 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20494196440031\/5775 + -3548778566. Let d = h - 2\/1925. Let s = 38 - d. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j - 6 - 313 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -27. Suppose -4*x + 0*x + t = 40, t = -x - p. Let w = -8 - x. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -192, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 11 = 5*t. Suppose -5*j + 15 = 0, -y - 2*j + t = -0*y. What is the greatest common factor of 25 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316657827 a multiple of 872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130192 is divided by 978.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o**3 - 9*o**2 + 8*o + 23. Let k be g(7). Suppose 5*r**2 - k*r - 3*r**2 + 4438*r = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 1021, 1532?\nAnswer: 2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - b - 5*b + 0 + 2*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 2*x - 3*x)*(115*x**2 - 267*x**2 + 114*x**2) to the form j + c*x**3 + m*x + w*x**2 and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3155303118.\nAnswer: 2, 3, 11, 47807623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 21274785.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 4*a + 33)*(1 - 2 + 7).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**3 - 10*y**2 - 176*y + 9. Let t be i(7). Solve -5*f = -3*p - 12, -p - 4 = -0*f - t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51131, 3, -5, -2 in decreasing order.\nAnswer: 3, -2, -5, -51131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 2) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30.539728 and 856?\nAnswer: 886.539728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1695*-7\nAnswer: -11865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 38 + 14 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 774 and 6?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/85 in 1\/23, -91, 1\/3, -0.3, -4?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -549422\/7 at least as big as -78489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 + a**2 - 2*a + 1. Let d be x(1). Suppose -9 = s + d*h - 0, 5*s + 5*h = 15. Calculate the lowest common multiple of s and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(77) + sqrt(77) - sqrt(77) - sqrt(77) - 1*sqrt(77)*3)\/((-1*sqrt(847) - sqrt(847)) + sqrt(28)\/(2*sqrt(4)) + sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/20 - r**5\/30 + r**4\/2 - 5*r**2 + 1. What is the second derivative of u(l) wrt l?\nAnswer: -36*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((154\/(-33))\/14)\/((-1)\/(-3)). Let s = 8.1 + -9. Is s < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 499.5762 kilograms?\nAnswer: 499576200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 58. Let s be (-10)\/15 + 0 + 24\/m. Find the third derivative of 10*h**2 + h**6 + 5*h**2 - s*h**2 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**2\/6 + 170157*v\/2 - 510477 = 0.\nAnswer: -510477, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -415639\/20 - -20777. What is the common denominator of -93\/110 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -61*o**2 + 5*o - 1. Let c(y) = -y**2 + y + 1. Let w(v) = 6*c(v) - 2*p(v). Let q be w(8). Round q to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84.982 + 85. Let x = y - 6.018. Which is the nearest to 1? (a) -0.4 (b) -3\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421556758?\nAnswer: 2, 7, 30111197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 28.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -761.\nAnswer: -8\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.5 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 1242 = 83*x. Suppose 0 = -10*w + 20. Calculate the greatest common divisor of w and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/377, -4\/7, 1\/7, -2\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 516\/26 + 20\/130. Suppose 0 = q - m + 14. Suppose -3*g - q = -3. Let t(n) = 5*n**2 - 2*n - 1. Determine t(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*y + 125, 2*w + 5780 - 2990 = -5*y + 2935 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 12*i**2 + 10*i - 7. Let q(c) = -c + 1. Let j(f) = -23*f + 126. Let a(t) = j(t) - 4*q(t). Let g be a(7). What is n(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2443?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -10. Let p(w) = 3 - 3*w - v + 5*w - 3*w. Let g be 0 + 2 - 0 - -4. Determine p(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464782 is divided by 77461?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/6 + 10*w**3\/3 - 7*w**2. What is the first derivative of s(g) wrt g?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhvhvvhvhv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.1, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*t + 95986, -5*t = -5*x - 142089 + 22094. Let u = -2495407\/104 - x. Calculate the common denominator of u and 63\/22.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16205 and 0.04.\nAnswer: -648.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-136)\/(-22) - (-4)\/(-22). Suppose -p*n = n. Solve n*j - j = 0, 3*f + 12 = j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11461*r - 3*r**2 + 11813*r + 142 + 94.\nAnswer: -(r - 118)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 291527*m**2 + 3476*m**3 - 174560*m - 42891*m + 4*m**4 + 461893*m**2 + 131135*m - 670584*m.\nAnswer: 4*m*(m - 1)*(m + 435)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -16*o + 9. Let a be s(-4). Suppose -y + 49 + a = -2*v, 5*y + 3*v = 558. Suppose -y = -143*w + 140*w. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 20*y - 22 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 550?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 12*q**2 + 29*q - 12. Let i be f(14). Suppose -x = i*b - 359, -4*b + 5*b + 3*x - 177 = 0. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161+-0.01860558364096\nAnswer: -161.01860558364096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 20*n + 66. Let j be r(-3). Let g = -4 - -5. Determine x, given that -12*x - 3 - j*x**2 - 2*x**2 - g = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-9)*(-30)\/(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91911725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1316?\nAnswer: 394.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28.6, 3\/2, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i**2 - 122*i**2 - 93*i**2 - 15*i**2.\nAnswer: -199*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -10*f + 10. Let o be 4 + 4*(-9)\/(-12). Find the third derivative of 6*z**2 + 2*z - o*z + f*z**4 + 5*z wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 3*n**2 - 4. Let k be (-60)\/(-27) - 4\/18. Suppose 16 = -a + 4*h, 0*a + k*a = h - 32. Let b be a\/6 - (-5)\/(-15). Calculate p(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 - 725003*q. Let a(c) = -46*c**2. Give h(a(k)).\nAnswer: -10580*k**4 + 33350138*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7266 - -792. List the prime factors of c.\nAnswer: 2, 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, and 1 d when three letters picked without replacement from {c: 5, t: 3, b: 3, e: 1, m: 1, d: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.001174 at least 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.644375 and -0.3.\nAnswer: 0.7933125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -3020?\nAnswer: 3016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.8 - -3.4. Let o = c - 23. Sort o, 3\/7, -2 in decreasing order.\nAnswer: 3\/7, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + (-1659)\/84)\/(2\/(-136)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-114)\/3990 + (2 - 21\/15). Let j = 2 + -4. What is the third smallest value in -3, -5, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284.3306 rounded to the nearest 10?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -150, -119, -44, 87, 286, 565, 936?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*4 + sqrt(95)\/sqrt(5) + -2.\nAnswer: -2 + 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 3a79?\nAnswer: -3a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-1*sqrt(19) + sqrt(19))*-3 - sqrt(19) - sqrt(19))**2 - sqrt(19) - sqrt(19)) - (1*sqrt(2299) + -4)**2.\nAnswer: -2163 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136828.\nAnswer: 2, 79, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4034 - -233214?\nAnswer: 242303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -49, -102, -185, -304, -465, -674?\n\"Answer: -w**3 - 6*w**2 - 4*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2460575 is divided by 456?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*t + 0*t + t + t + 8*t**3 wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 2. Suppose 0 = j - 4 + u. Calculate the lowest common multiple of 7 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 11 - -23 - 18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7471683?\nAnswer: 3, 92243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 27*r - 11*r)*(150 - 86 + 194) in the form o + b*r and give b.\nAnswer: 2838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*d - 6, -2*n - 2*d = -5 - 7. What is the remainder when 8 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 - 61*b**2 + 330*b = 0. Calculate b.\nAnswer: -66, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -142a0 (base 11) to base 6\nAnswer: -234021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.48, 2\/17, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-8)\/l)\/(l*(l*l*l*(l\/(l*l*(l*l*l\/(l\/(l\/l**(-1\/5))))\/l))\/l*l)\/l))**32 assuming l is positive.\nAnswer: l**(-1408\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*10 - 33\/63\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -5*z**4\/42 - 4*z**3\/7 - 4*z**2\/7 - 163*z. Determine f, given that p(f) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w**6 + 4\/3*w**3 + 1 + 0*w**4 + 0*w**5 + 0*w**2 - 3\/7*w**7 + 0*w. Find the third derivative of i(o) wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 19 (c) -1\/4 (d) -5 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3190855 - -0.061.\nAnswer: -3.2580855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5 - 28*l**4 - 60*l**3 - 36*l**2 = 0 for l.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, -63, -177, 4\/3 in ascending order.\nAnswer: -177, -63, -2, -0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26800318, 53600638, 80400958, 107201278, 134001598, 160801918?\nAnswer: 187602238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 u, and 1 i when three letters picked without replacement from uauuyauauuuiuuaiaaua?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/2291 greater than or equal to 150\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129195.\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60591723287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16c786 (base 14) to base 10.\nAnswer: 802738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from plicjlpiiplpipp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:34 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4142735859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/180 + d**5\/90 + d**4\/18 - 13*d**2. Determine o, given that c(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -32*q**2 + 8*q - 12. Let p(t) = t**2 - t - 1. Let s(y) = -n(y) - 6*p(y). Find the second derivative of s(r) wrt r.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -897*y**2\/2 + 898*y - 185. Differentiate s(t) wrt t.\nAnswer: -897","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2168 + 10838\/5. Sort -1\/3, -2, -12, k in descending order.\nAnswer: -1\/3, k, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90178240*a**4 - 100143913*a + 3.\nAnswer: -1082138880*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -173621.\nAnswer: -52086.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 0.3, 1.39.\nAnswer: -3, 0.3, 1.39, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255*v + 2250*v + 1 + 6091*v.\nAnswer: 9596*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102007933*0.5.\nAnswer: 51003966.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16\/(l\/(l*l**(-1\/3))))\/(l**(2\/23)*l*l*l**(-16)) assuming l is positive.\nAnswer: l**(2041\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 7*c**2 - 44*c - 1. Let y be t(-11). What is the fourth biggest value in 2, 1\/3, -0.095, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3120)\/(-3328))\/(6\/(-8))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5643\/10856?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4725870 and 1938.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 2406?\nAnswer: 2406.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, 1\/2, -89, -4, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2768430 or -41526442\/15?\nAnswer: -41526442\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8185 = -17*z + 21*z, -3*z + 4*f + 6100 = 0. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -l - 3*l. Suppose -3*z = -12 + 15. Sort 2, l, z in increasing order.\nAnswer: z, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*5\/((-25)\/(-2)). Suppose q = d - 0. Let v = 2 - 0. Solve -v*a + 3 = d*x - 3, -4*x = -3*a - 26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 212663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(2 + sqrt(891) + (-2 + sqrt(891) - sqrt(891))**2 + -4 + sqrt(891) + 5).\nAnswer: -18*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13244.3 rounded to the nearest ten?\nAnswer: 13240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -3, 7, 19, 33, 49, 67?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/18885 in 4, -0.5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 104, 209, 314, 419, 524, 629?\n\"Answer: 105*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q - 1. Let n be w(-6). Let m be (-2)\/(-5)*(-6 + n). Let y be m\/(-25)*2\/(-2). Which is the nearest to -1\/5? (a) y (b) 0.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/656 + 243\/(-2583))\/((-4)\/14)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (2 + 9 + 12 + -42).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 0.22. Let u = 8.59 - 8.79. What is the nearest to u in i, -1, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 73*g - 1321. Let z be n(18). Let s(h) = -2*h**2 + 3*h + 9. Let k(d) = -4*d**2 + 7*d + 19. Determine z*s(q) + 3*k(q).\nAnswer: 2*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -353, -593, -869, -1175, -1505, -1853?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 1. Let y(t) = 4*t + 9. Let n(v) = -6*b(v) - y(v). Let g be n(8). Solve -4*w + 3*w = g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -2 + -3 - sqrt(252))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02732 take away 14358?\nAnswer: -14358.02732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -71.91 and 5.\nAnswer: -66.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtbj when four letters picked without replacement from {j: 2, t: 3, b: 12}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.5 (b) -3 (c) 138 (d) 96 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 12600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 627.68 + -0.5.\nAnswer: 627.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(135))\/sqrt(5) + -2*(sqrt(48) + sqrt(48) + sqrt(432)).\nAnswer: -46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h**2 - 3*h + 1. Let c be 2 + (-1 - -1) + 5\/(-5). Let f be d(c). Solve f = -0*j - j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 5:13 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645 + 1736 - (-1 + 47)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91651284?\nAnswer: 2, 3, 17, 49919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (780\/(-80))\/(5\/8 + -1). Suppose 0 = 11*n - q*n + 6105. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 137, 149, 167, 191?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 - 5 = 0. Suppose -p - 2 = -5*n, 3 + 1 = -5*n - w*p. Solve -2*b + 4 = -n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151163 less than or equal to -151168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-35)\/(-2))*(15 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -64, 1\/9, 3, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + k**3 - 4 + (5 - 13 + 29)*(560*k**3 + 4 + 1 - 535*k**3)*(-2 + 2 + 5).\nAnswer: 2626*k**3 + 525","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009673 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*s - 515326 + 523102 = 0 for s.\nAnswer: -81","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 {m: 3, q: 3, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*d - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cch when three letters picked without replacement from chc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*s = 174*s - 10 + 395 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, 2, -5 in increasing order.\nAnswer: -131, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mfhm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8840 - 6062. What are the prime factors of t?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide (-6044)\/(-6)*6 + (-27 + 2)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 831 and 282936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from {d: 4, l: 2, w: 1, h: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22670 - 733370349.\nAnswer: -733347679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149.5 + -149. What is the closest to -5 in r, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -155, -532, -917, -1310, -1711, -2120, -2537?\n\"Answer: -4*m**2 - 365*m + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 4. Let r be c(1). Suppose -7*y = -r*y + 147. Let b(s) = -s**2 + 4*s - 9. Let a be b(6). Is a at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2017 and -46\/11.\nAnswer: 22187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/13, -1, 0.044, -2\/35.\nAnswer: -5, -1, -2\/35, 0.044, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2649, -0.1, 1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/90 - 8\/(-12). Let c = z + -1\/9. Sort c, 0.5, 0.4 in descending order.\nAnswer: 0.5, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110000 (base 2) to base 5\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 + 4*g**2 - 3*g**2 + (2*g + g - 5*g)*(51 - 9 - 576*g - 42).\nAnswer: 1158*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16651*z - 22619.\nAnswer: -16651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 205.3163 to one dp.\nAnswer: 205.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 390 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15080 + -4?\nAnswer: 15075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/28 and 57\/19496?\nAnswer: 136472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1055*g**2 + 967*g - 1933. What is r(2)?\nAnswer: -4219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 682 and 8280906.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*n - 5, 5*a + 3*n - 6 = 4. Find p, given that 4*p + 2*p - 4*p + 14*p**4 + 18*p**3 + 2*p**2 + 8*p**2 + 4*p**a = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823896, 1647779, 2471638, 3295461, 4119236?\nAnswer: 4942951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -1 - -1 - -1. Suppose r = -2*y + 4*y. Suppose -3*f = 5*o + 7, f + y*o + 2*o = -4. What is the smallest common multiple of f and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1421 and -24.\nAnswer: 34104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 70?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2572, -5413, -8254?\n\"Answer: -2841*w + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/21)\/n*n)\/((n**5\/n)\/n*n) assuming n is positive.\nAnswer: n**(-85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 - 5*i - 4. Suppose -4*k + 2*q + 12 = 0, 3*k - 3*q = 9 - 3. Suppose k*o - 4 = -12. What is the units digit of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -149, -208, -267?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 38194479183*y**2 - 38194479183*y**2.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -309595.7 and -0.03.\nAnswer: -309595.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.067 + -0.3.\nAnswer: -0.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -88673 times -2.4?\nAnswer: 212815.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91058.9kg in nanograms?\nAnswer: 91058900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 9*y**2 + 15)*(1 - 1 - 6) in the form d + i*y + a*y**2 and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1198, 1337, 1416, 1411, 1298, 1053, 652, 71?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**3*w**2 - 5399812*q**3*w + 5843*w**2 + 13 with respect to q.\nAnswer: 6*q**2*w**2 - 16199436*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20824b + 35?\nAnswer: -208216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3))\/b*(b\/(b**6\/b))\/b*(b\/((b*b\/(b\/(b*(b*b**(-1))\/b*b*b)))\/b)*b)\/b*b**(-2\/9)*((b*((b*b**(-1\/3)\/b*b)\/b)\/b)**20)**(1\/55) assuming b is positive.\nAnswer: b**(-331\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -0.1.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 23*v**2 - 6*v + 15. Let d(s) = -s**2 + s + 1. Let t(n) = 6*d(n) + l(n). Differentiate t(g) wrt g.\nAnswer: 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63339.\nAnswer: 3, 43, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868 - 831 = 15*r + 832 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20701 + 20676. Let z(s) = s**2 + 32*s + 169. Give z(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 20*w**2 - 60*w + 111. What is m(-23)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2. Let z(q) = 8834*q. Determine w(z(r)).\nAnswer: -156079112*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171153.9 rounded to the nearest 1000?\nAnswer: 171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**8\/20160 - i**7\/3780 + i**6\/2160 + i**4\/24 + 2*i**2. Let b(g) be the second derivative of q(g). Solve b(y) = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2037, -2031, -2025?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x - 2, -120 = 4*z - 2*x. Let v = 63 + z. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.3 (b) -5\/2 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188028749 to the nearest integer?\nAnswer: 13712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s. Let t(b) = -14*b**2 + 1. Calculate t(d(x)).\nAnswer: -504*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1416*w - 26. Let h(t) = -t**3 - 2*t**2 + 7*t + 13. Let j be h(-2). What is the thousands digit of r(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-1\/7)*i))\/i**(-1\/3))\/((i**(-3\/2)\/i)\/(i**(1\/5)*i)))\/(i**(2\/9)\/(i**6*i))**(-43) assuming i is positive.\nAnswer: i**(-180979\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 384959 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 - -111. Let y = s + 160. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -134. What is the nearest to k in -0.3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(192) - sqrt(48))*-3 - ((2 + sqrt(243))**2 + 0 - (1 + (sqrt(243)*-3)**2)).\nAnswer: -48*sqrt(3) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 86, 405, 962, 1757, 2790, 4061?\n\"Answer: 119*h**2 - 38*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 682 - -197?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s - 4*s)*(8*s**2 - 8*s**2 + 27*s**3).\nAnswer: -216*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 537603 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 2 - 127\/(-254). What is the closest to 205 in -2\/5, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 4. Let c(t) = 3*t + 30. Let k be c(-9). Let f be q\/(92\/30 - k). What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115972934 divided by -14?\nAnswer: -8283781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4204, 4340, 4634, 5152, 5960?\nAnswer: 7124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + 4.5. Let c = -4.99995 + u. What is c rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4\/7 - 9*n**3\/7 - 9*n**2\/7 - 3*n\/7.\nAnswer: -3*n*(n + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*f + 114074, 4*h + 9*f - 10*f - 91255 = 0. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + -17 + 12 + 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c2b (base 14) to base 15.\nAnswer: -58c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 3:47 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 8:56 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q = 30*q + 12, t - 18 = q. Solve -2*h + 27 = -5*i, -4*i = i + 4*h + t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p - 107 - 137 = 11*p + 4*m, 65*p - 2*m = 61*p + 94 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.181046ms in microseconds?\nAnswer: 4181.046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57775437 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*h - 2*h - 24, 0 = -3*i - h + 32. Suppose -i = -4*u + 3*u. Let y be 25\/u*-2*(-3)\/5. Solve 2*t = 3*t - y*s, -t - s = -4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4565 = 431*x + 14*x + 10164 - 3159 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285.08 + 361.924. Let n = -0.172 + -76.828. Let q = j + n. Round q to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, 1819 in ascending order.\nAnswer: -5, 11, 1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15767 + 23233 = 2*d. What is d rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 22?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 9*z**5\/2 - 31264*z**4\/3 + 29641*z**3 + 98274*z**2 + 395503*z\/6 + 7710 = 0.\nAnswer: -1, -4\/27, 5, 2313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/33)*2\/(-4).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -89630974264 - 0.1\nAnswer: -89630974264.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r - r)*(-321*r + 198*r + 199*r).\nAnswer: 152*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4 - 13 = 0. Suppose 0 = -2*r - f*r + 300. Suppose 3*a - 3*q = -4*q + r, -2*a - 2*q + 40 = 0. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 7*v - 6. Let o = -10 - -11. Let g = 3 + o. Calculate q(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 8)*(-1 - 5 + 3)*(-2*p - 4*p + 26*p)*(-2*p**2 - 1 + 1) to y*p**3 + z*p + x*p**2 + r and give y.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 82 = -4*a - 15, c - a = 19. Suppose 0 = -c*j + 14*j + 462. What is the highest common divisor of 44 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -233*t - 162. List the prime factors of p(-6).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5384 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*l - 25 = 0, 6*w - 2*w - 20 = l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/11 - 1218*v**3\/11 - 6142*v**2\/11 + 1218*v\/11 + 6140\/11 = 0?\nAnswer: -5, -1, 1, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331191 divided by 110397.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2*(-40)\/(-25). Suppose -3*f = 2*o - 8, f + 4*o - t = 2. Let x(z) = -f*z + 2*z - z + 6*z. Let u(n) = -2*n**2. What is x(u(r))?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 7 - (41 + -35). Suppose -f*y = c - 338, -5*c + 0*c - 507 = -3*y. What is the greatest common divisor of 13 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - 0.7. Which is the biggest value? (a) -1 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - 2) - (-4 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -3. Let c(j) = j + 11. Is c(i) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4. Let g(r) = r + 1. Determine -2*g(a) + u(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300 - -21331132?\nAnswer: 21332032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g - g)*(0 - 2 + 1)*((0 - 5 + 3)*(3 + 0 - 1) - 1 - 1 + 0 + 106 - 16 - 38).\nAnswer: -138*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {c: 3, s: 4, b: 6}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 50273*b - 50206*b - 18 - 52 - 88 as k*b + p and give k.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*n**3 + 516*n**3 - 1519*n**3 + 488*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114407*g**2 - 26739*g**2 + 33523*g**2.\nAnswer: -107623*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1569365218.\nAnswer: 2, 29, 193, 140197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 smaller than 2552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + 13. Suppose -2*k + 46 = 2*j, 5*k = 2*j + j - 61. Let t = u - j. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 4*u**2 - 65*u + 21. Let g be n(6). Let i(b) = -4*b + 4. Let s(m) = -17*m + 17. Calculate g*i(f) + 2*s(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -v - 3, -4*q - 2 = 5*v - 11. Let n(h) = 2*h - 1. Let m be n(q). Is (4\/6 - m)*-537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -8. Find the third derivative of -q*y**4 - y**4 - 4*y**2 - 2*y**2 wrt y.\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, -1, -1102, 1, -14 in ascending order.\nAnswer: -1102, -14, -1, 1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 702 + -702.1. Let i = 6.3 - 1.3. Put a, i, -3\/7 in decreasing order.\nAnswer: i, a, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21 and -21.\nAnswer: -4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5352.9 - 5873. Let o = h + 520. Which is the third smallest value? (a) o (b) 3 (c) -4 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nugw when four letters picked without replacement from hguwwng.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**2 + 594. Let g(u) = 8*u**2 + 3. What is o(g(v))?\nAnswer: -16*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -12*x**2 - 7*x + 1. Let h(a) = 13*a**2 + 8*a - 2. Give 5*h(c) + 6*u(c).\nAnswer: -7*c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9867 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**3 - 2*p**3 + 2*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.5. Let z = 1 + 2.2. Let w = z - 0.2. Which is the third biggest value? (a) -2\/3 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/6)\/(2\/6). Let d be (-2772)\/(-1638) - (-4)\/13. Solve -d*l = -w + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 43, -3, 4 in decreasing order.\nAnswer: 43, 4, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l + 67. Let f be r(13). Which is the second smallest value? (a) f (b) 2\/15 (c) 2.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:15 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -72. What is the closest to -0.1 in -3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h - 5. Let g(v) = -2*v - 1. Let m = -3 + 2. Let f(t) = t - 1. Let c(o) = m*g(o) - f(o). Let z = -6 + 4. Determine z*a(x) - 5*c(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s**3 - 2*s**3 - 25*s**3)*(2 + s + 4 - 4) + (4 - 4 + s**4)*(1 - 2 + 0) + 4*s**2 - 4*s**2 - 2*s**4 - 2*s**4 - 3*s**2 + 3*s**2.\nAnswer: -22*s**4 - 34*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3597, -3632, -3667, -3702, -3737, -3772?\n\"Answer: -35*l - 3562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3908 is divided by 393?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 582.773746 to 1 dp.\nAnswer: 582.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46565, -93846, -141127, -188408, -235689?\nAnswer: -282970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/25*870\/(-580)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by -78.\nAnswer: -73\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149647 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4504282.\nAnswer: 2, 1097, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l + 385. Give x(-48).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35356 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2 + -1)*0. Solve a*j + 11 = j + 4*v, 0 = 5*j - v + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -9\/7*c**3 + 69\/7*c**2 - 120\/7*c - 48\/7 = 0?\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 899 = 33264\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12605157\/193154 - -19231\/442. Let n = m + 1\/1748. Find the common denominator of n and (9\/((-81)\/30))\/(28\/49).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 388499 - -1701413\nAnswer: 2089912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**7\/210 - c**5\/60 - c**2 - 3*c. Let r(w) be the first derivative of x(w). Find the third derivative of r(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -49*j**3 - 2*j**2 + 14*j + 5. Let f(h) = 16*h**3 + h**2 - 5*h - 2. What is 3*d(q) + 8*f(q)?\nAnswer: -19*q**3 + 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 1. Let n(h) = 24*h**3 + 2*h**2 + 2*h - 5. Let k(a) = -n(a) - 6*r(a). Let d(l) = l**2 - 4*l + 2. Let c be d(3). Give k(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 7. Let g = -5 + f. Let j(p) = -p**3 + 11*p**2 - 11*p + 11. Let q be j(g). Are q and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182 and (2 - 177\/(-9)) + (13 + -32)\/(-57)?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 248\/72 + (-60)\/135 + 14*58\/(-268)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -510. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 12*p**2 + 15 - 9*p - 11 + 0. Let h(c) = c**2 - c. Let l(d) = -4*h(d) + u(d). Let a be l(1). Solve 3*j = a*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 36*j + 44. Let s be h(35). Suppose s*z + 26 - 89 = 0. Solve -z*i = -10 - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 199997*m**2 - 4*m - 1. Let k be j(-1). Round k to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 751 + 10\/5*-8.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2 + (sqrt(176) - 2*sqrt(176)) - (sqrt(176) + 0)*-1) + -5*(sqrt(176) + 1 + sqrt(176)) + -2*(sqrt(176) + 2 - sqrt(176)))**2.\nAnswer: 880*sqrt(11) + 17726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*v - 536 = 75*v. Let b = -263 - v. What is the greatest common factor of 7 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088 + 0?\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -35162 (base 8) in base 6?\nAnswer: -153134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - j**2 + 12*j + 3. Determine o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -129\/185? (a) 3\/5 (b) -1\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*g - 0*r + 4*r, 0 = -4*g - 5*r + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + 1\/((-1)\/4). Suppose 2*v + 2*u = 0, -10 = m*v - 4*u + 8. What is the units digit of v\/((-1)\/(-2) + 122\/(-228))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-256)\/80)\/(-16)*10\/(-18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**3\/15 + 661*g**2\/5 + 436921*g\/5 - 89. Factor j(t).\nAnswer: (t + 661)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:10 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4*t + 2717 = 2721, -3*c - 5*t = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -c629?\nAnswer: c627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 12*s - 19. Let v be f(14). Let l = 58 + v. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/13? (a) -91040 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 0. Let t = -135.8 + 125. Let s = t - -11. Sort 2, o, s in decreasing order.\nAnswer: 2, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 r, 1 x, and 1 g when four letters picked without replacement from {g: 2, f: 3, r: 8, x: 2}?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(2 - 2 - 4*w) - 2*w - 2*w + w + (0 + 3 - 1)*(-7*w + 5 - 5).\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*l, 14 - 25 - 9 = -3*p + 13*l for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70131915?\nAnswer: 3, 5, 7, 67, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-304)\/(-133) + (-4)\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/28*35\/60*180\/(-675).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761 = -2*t - 199. Round t to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55645154 and 1199.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 - 1180*t**4 + 2 - 4*t**3 - 7*t + 1178*t**4 as k*t**2 + p + s*t + v*t**4 + j*t**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -2 (c) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(28) - sqrt(7))**2 - (sqrt(7) - 3*(2 + sqrt(7) - sqrt(7))))*5 + 1.\nAnswer: 45*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1364 and 2557128?\nAnswer: 28128408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 19*o = -49, 171573*y - 171574*y = -5*o - 21 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:01 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 18 = 2. Solve -5*a = 19 - i, -5*t - 2*a - 26 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 18*l**2 + 13*l**2 + 3 - 30*l**2 + 7*l. Let t(v) = -v**2 - 23*v + 18. Let w be t(-24). Calculate q(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 23.4387.\nAnswer: -16.40709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 less than -207663.1983543?\nAnswer: -207661.7983543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3422741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4114, -8242, -12370, -16498?\nAnswer: -20626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 803*o - 6. Is c(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqdddqqqqqqmqmqmmq. Give prob of sequence dmm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1, -1\/5, -3\/8, 32\/89 in decreasing order.\nAnswer: 1, 32\/89, 0.03, -1\/5, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 5:57 AM?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -20. Let q = o + 22. Solve q*g + 15 = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003333 rounded to five dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 48 = 5*a. Suppose -4*r - 21 - a = -3*t, -2*r + 33 = 3*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 - 10 = 0. Suppose l*n + 5*o = -6, -3*n - 3*o + 4 = 2*n. Factor -3*j**4 - 1 + 7*j**3 + 9\/2*j + 1\/2*j**5 - 8*j**n.\nAnswer: (j - 2)*(j - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3202 and -0.1448.\nAnswer: -463.6496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0*x**2 - 1\/78*x**4 + x - 2\/13*x**3 - 8 + 1\/26*x**5. Factor a(i).\nAnswer: 2*i*(i + 1)*(5*i - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 a when three letters picked without replacement from {a: 8, g: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 y, and 1 j when four letters picked without replacement from {y: 1, p: 4, c: 2, r: 4, j: 8}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - g**2 + 3*g**2)*(-g + 2*g - 3*g) + 13 - 7*g**3 - 13 as k*g**3 + j*g + p + s*g**2 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4 - 31\/4. Let w be 276\/10 - 2\/(-5). Let z be (-148)\/w + (-4)\/(-14). Is z <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snn when three letters picked without replacement from sxsnnxnfxnffaffn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79074 by 382.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 44 = -4*z. Suppose z*q - 517 = 1166. List the prime factors of q.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813a3 (base 14) in base 8?\nAnswer: 1137023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37812, 75626, 113440, 151254?\n\"Answer: 37814*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 52 + 22 + 30. Let l(g) = -22*g**2 + 10*g. Let k(n) = 24*n**2 - 12*n. Let f(o) = -5*k(o) - 6*l(o). Calculate f(r(y)).\nAnswer: 108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108031970.\nAnswer: 2, 5, 73, 83, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, -715, 3, 2\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-10)*k)*k**(-1\/3)*k*k**(2\/17)\/(k\/(k*k*k**(2\/53)*k)) assuming k is positive.\nAnswer: k**(34658\/2703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (2 + 1*-8). Let q = 1661\/65 + -127\/5. What is the nearest to 0 in 0.1, q, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 122 (c) -0.2 (d) -3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 4*g + 28. What is the remainder when 135 is divided by g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 5:30 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312578, 314281, 315984, 317687, 319390?\nAnswer: 321093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 22 = -4*l, -o + 5*l = 3*o + 50. Let x(z) = -z - 3. Let b be x(o). Suppose 2*s = b*s. Solve 20 = 5*f - s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 4*q**2 + 5*q + 7. Suppose -2*t + 10 + 0 = 0. Let m be l(t). Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-59 + 9 - 3)*(122 + 89*q - 245 + 122).\nAnswer: 4717*q - 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -633369 minus 147376?\nAnswer: -780745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -1\/12*b**4 + 0 + 5\/3*b**3 + 8*b - 13\/2*b**2. What is the units digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 + -3. Let i = -7.7 - -7.301. Let j = 0.199 + i. Which is the smallest value? (a) j (b) l (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43401*n + 31777*n - 2 + 1 + 0.\nAnswer: 75178*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*r + 52*r - 72 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2))**(4\/7)*(v*(v**(-3)*v)\/v*v)\/(v*v*v**(-3)) assuming v is positive.\nAnswer: v**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231879613.\nAnswer: 7, 4732237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + w + 1. Let t(v) be the first derivative of -v**2\/2 - v + 45. Give 3*s(g) + 3*t(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or 0.27?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 11*n**2 + 16*n + 1. What is g(13)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-1\/6))*s*s**(-1\/19))**(23\/5))**15 assuming s is positive.\nAnswer: s**(299\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -1\/2, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 118 + (4 - (-4 - -2 - -5))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/44)\/(13\/(-104))*11\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9935 and -5?\nAnswer: 9940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-19)\/(-57))\/((-2)\/(-1122)). Suppose m = 9*t + 52. What is the highest common divisor of t and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18230 from 4.\nAnswer: -18226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -30*x**2 + 2*x + 2. Let l(r) = 31*r**2 - 15*r + 45. Let j(i) = 62*i**2 - 33*i + 102. Let b(w) = 4*j(w) - 9*l(w). Give -2*b(s) + 3*g(s).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 257*a**4 + 258*a**4 - 516*a**4 + 12*a**3 + 3 - 3*a to k*a + y*a**4 + g + h*a**3 + o*a**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17796 - 3*c + 17752 + 3*c - 17*c**2.\nAnswer: -17*c**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 122*s**3 - 56097226*s + 341*s**3 + 56097226*s to c*s**3 + n + j*s + l*s**2 and give c.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 25*v**3 - 24*v**2 + 28*v - 83. Is m(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*-4.9.\nAnswer: 171.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 24806*h**3 + 1.\nAnswer: -24806*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Suppose -s = g - 0*s - 14, -56 = -t*g + 4*s. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, t: 2, u: 1, i: 2, p: 3}. What is prob of picking 1 d, 1 t, and 2 p?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-53 + 53 - 6*n) + 34*n - 67*n + 34*n + 188 + (-2*n + 2*n + 2*n)*(-4 + 3 + 2).\nAnswer: -9*n + 188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.8. Let r be (-4 - 22\/(-8 + 6)) + -14. Which is the closest to 0? (a) 0.5 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*p*y**4 + 5086*p*y - 143004*p + 5 wrt y?\nAnswer: -16*p*y**3 + 5086*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 3. Let l(r) = -r. Let z be l(-2). Suppose 64*m = -n + 63*m - 3, m + 9 = n. Solve 2*y = -z*p - 10, k = -n*p - p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57507 is divided by 4423.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(-71)\/2*8\/(-10). Suppose 0 = 8*o + 22 - c. Find the first derivative of -27 + 30*x + o*x - 29*x wrt x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3109142 - 7?\nAnswer: 3109135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-320)\/(-55) - 10\/(-55).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 5*b**2 + 10. Determine c(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1257*h - 3*k = -1262*h - 4376, -h - 843 = 4*k. Which is the third smallest value? (a) h (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2573 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 9. Let h be j(8). Let o(x) = 106*x**2 - 2*x - 2. Calculate the remainder when o(h) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3*x - 18*i**3 + 330899*i**2*x**3 + 9*i + 139 wrt x?\nAnswer: 2*i**3 + 992697*i**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = 16*v - 5*i - 8, 3*i = -v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - 2*l + 23*l to s*l + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v - 6694 = 0. Let s = 6658 - 11900. Let y = v - s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 353*h - 225*h + 296*h in the form b*h + i and give b.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49024 and 44992.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:57 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7697 - -12871. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/3360 and -53\/35040.\nAnswer: 245280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 - 122*u**2 + 85*u - 420. Determine n(40).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmamdvdadvd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/55 - 4\/11. Let v = -66\/149 - 2\/1341. What is the second smallest value in 5, j, v, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*a - 9 = 5, 4 = -2*a. Suppose -2*d = h*r - 2106, 1577 = 2*d + 5*r - 541. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 61\/(44\/(-8) + 6). Let r be (-5)\/(x\/(-30) - (-12)\/3). Calculate the highest common divisor of r and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**2 - 210*l + 94. Give c(41).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -v - 2*v. Suppose v*t - 238100 = 241900. Suppose 0*z + 4*z = -t. Round z to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + f - 38, -30 = -2*q + f. What is the highest common divisor of 136 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u + 4 = 0. Let j be (-145)\/10 + 2\/u. Is (-2)\/(-6) - 145\/j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 4 - 3 - 3*g. Let o be 4\/(-16 - (5 - 20)). Let p(d) = -2*d**2 - 6*d - 5. Calculate o*z(i) - p(i).\nAnswer: 2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/4 - 8*q**3\/3 - 9*q**2\/2 - 11*q - 126. Calculate b(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1039.39 - 1044.39. Let f = 1.1 - 0.1. What is the second biggest value in q, 0.5, f, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7622 is divided by 5161.\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 2*m - 158 + 127, -2*r + 5*m - 7 = 42 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 15) in base 8?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, -39, -290, -635, -1068?\nAnswer: -1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 - -44820.786334?\nAnswer: 44822.486334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -96 - 4?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubysyby. Give prob of picking 1 s and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 45\/2 of a millennium?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4184003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = -3. Let u be (-2)\/1 + 5 + 0. Let a = u + w. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -1)*(0 + 5). Let x(g) = 5*g**2 - 2*g - 1. Let o be x(-2). Let i = w + o. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 51. Suppose -5*j = -3*q + q - 18, -3*j - 3*q + 15 = 0. What is the nearest to h in j, -0.2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 0, 7\/5, -1\/10, -1 in descending order.\nAnswer: 7\/5, 0, -1\/10, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.747 times -0.5?\nAnswer: 2.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 119 + 25 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4*i - 36 = -16, -2*n - i = -10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 = -2. Let t be (1\/1)\/((-2)\/(-6)). Suppose 4*g + 32 = 4*y, -2*y - 17 = t*g - 8. Solve -c - 5 = -y*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*k - 77 + 590*k + 43 + 34 in the form g*k + z and give g.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 8. Let g(h) = 3*h + 4. Determine -11*g(f) + 6*n(f).\nAnswer: -3*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 10:18 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36895 divided by 6?\nAnswer: 36895\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6197 and 3115039793.\nAnswer: 6197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*x + 430*x + 13 = 3*m, -2*x + 17 = 3*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378932, -378933, -378934, -378935?\nAnswer: -378936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + d + 16 = -r, 3*r + 11 = -2*d. Let z = -68 - -70. Put r, 0, z in decreasing order.\nAnswer: z, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3923995515 to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-180)\/(-35) - (-2)\/(-14). Solve v*p + 4*c = 16, -3*c - 11 = -3*p + p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.03, 4, 3, 2\/1585, 0.3, 56?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -859 + 3385\/4. Find the common denominator of (48\/(-18))\/(-4) + (-163)\/195 and u.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - a + 0*a + (-4*a + 12*a - 3*a)*(5 + 6 - 4).\nAnswer: 37*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 2320*d**2 + 668136*d - 2709792.\nAnswer: 2*(d - 4)*(d + 582)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000252343 to 7 dps.\nAnswer: 0.0000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*a + 8*a**3 - 23*a)*(2 + 5*a - 1 + 1).\nAnswer: 40*a**4 + 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + (-1 - 0))\/(15*(850\/125 - 7))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z**2 - 22*z + 18. Determine k(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**6 - z**5 + 2*z**2 - z - 1. Let k(m) = m**6 - 17*m**5 + m**2 + 107*m - 1. Let j(s) = k(s) - l(s). What is the third derivative of j(a) wrt a?\nAnswer: 240*a**3 - 960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.25 + -0.05. Let n = 1.8 + f. Let y = -9.00056 + n. Round y to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 - 3*d**2 + 3*d**2)*(356 + 324 - 144).\nAnswer: -1072*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/10*8*75\/270. Factor -2\/9*h - 4\/9 + p*h**2.\nAnswer: 2*(h - 2)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4 (c) -1\/17 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -81. Calculate the remainder when 114 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -740*x - 10608 - 10121 - 3691 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -v - 13, -3*j + 32 = 4*v - 0*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 - 6*z + 7. Let s be h(1). Calculate the remainder when 97 is divided by ((-30)\/(-1))\/(-5)*22\/s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645669467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 159. Let c(j) = j - 4. Let p(l) = l - 5. What is m*p(o) + 7*c(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -487043 - -127043. What is k rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-615)\/585 + (-4)\/(1 + -5).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48030 and 25?\nAnswer: 240150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 149 (b) 3 (c) -0.3 (d) -0.1 (e) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = c + 7, 0 = 2*i + c - 13. Suppose 0 = i*o - 9*o + 272. Suppose 0 = l + l - o. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (403\/100 - (-177 - -181))*24\/6.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -33, -35, -37?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27295576 by -27295576.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-39)\/(-6) - (11 - 15)) + -10)*23 + -11\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -3) + 5 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23 and -321023.8213.\nAnswer: -321000.8213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o. Let u(w) = -410*w**3 + w**2 - w - 2. Let f be u(-1). Let l = -396 + f. Calculate the lowest common multiple of l and g(4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z - 29. Let p(d) = -96*d - 231. Let v(j) = -4*p(j) + 33*r(j). Let i be v(-8). Let w = -23 + i. 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 smallest value in -0.4, -5, -2\/27, -18?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 300051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 308459748119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = 1. Suppose v + 2*s - s - x = 0, 5*s = -3*v + 5. Suppose v + 0*r**2 + 2\/3*r**3 + 2\/3*r**4 + 0*r = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.39304 + 0.99304. Let n = 2 - 17. What is the second biggest value in y, 1, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose -3*g + b*g = -3. Let s = -12 + 27. What is the highest common divisor of s and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -30 - -26) + (-5 - -2) + -17 + 10\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 660 = 25*r. List the prime factors of r.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 3*w - 3. Let h be c(-2). Let l be (-8)\/(96\/(-30))*(-8)\/(-10). Solve -l*t - t = -h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 44*t**2 + 3581*t - 4. Let i(h) = 10*h**2 + 895*h - 1. What is -2*a(x) + 9*i(x)?\nAnswer: 2*x**2 + 893*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9404, -18818, -28246, -37688, -47144, -56614?\nAnswer: -66098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 870, 823, 692, 435, 10, -625, -1512, -2693?\nAnswer: -4210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4718118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 35 + 5 = 0. Let n be -1 - (15\/m - -1). Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1309 and 1122.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.038 + 40.\nAnswer: 39.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 979250 to the nearest ten thousand.\nAnswer: 980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/(-792))\/(10\/(-12))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2 + 6. Solve -g - b = -1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 - 2762.5?\nAnswer: -2761.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*j + 8053 + 8065 - 16118.\nAnswer: -181*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m = b + 1087, 25*m - 57*m + b + 43 = -28*m + b - b for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43848.85cm in nanometers?\nAnswer: 438488500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 24*g**2. Let x(d) = -3*d**2 + 17*d + 3967. What is x(u(z))?\nAnswer: -1728*z**4 + 408*z**2 + 3967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from gdz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12389536 a multiple of 1050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 - (-208)\/(-91) - -11. What is the second smallest value in -0.2, -2\/11, 37, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 7*c - 4. Is 6 a factor of g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8232 = 16*u - 25768. Let c = -335 + u. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*d = -610. Let a = d + -50. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363300 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -610 - 1151. Find the second derivative of -33*j + 29*j**3 - o + 587 wrt j.\nAnswer: 174*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 + 71 = -16*k + 80 - 204 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 13. Let y(i) = i**3 + 11*i**2 - 14*i - 14. Let o be y(-12). Suppose o*q - 12*q = -10. Is c(q) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 3*a**3 - a**3 + (2*a + 0*a - 5*a)*(-2*a**2 + 4*a**2 - 7*a**2) + (71*a - 2 + 2)*(-2*a**2 - 3*a**2 + 0*a**2).\nAnswer: -341*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98442 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**7\/210 + u**3\/6 + 3*u**2\/2 - 2. Let r(b) be the second derivative of a(b). What is the first derivative of r(o) wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051875371 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2. Suppose -f - 4*f = 0. Let q be f + (-5 - -3) - 2. Let b(k) = -6*k**2 - 2*k. Determine q*y(m) - b(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-6)*(-9)\/27*-2*-3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 1402 (c) -1\/4 (d) 1 (e) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let r(x) = -x**2 + 7*x - 1. What is -h(y) - r(y)?\nAnswer: y**2 - 6*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*o = 1323, -5*o = 12*r - 7*r - 1350. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/144 and 43\/1421080?\nAnswer: 25579440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 13\/18*t**4 - 2\/15*t**5 + 49 + 16\/9*t - 4\/9*t**2 - 28\/27*t**3. Suppose n(p) = 0. What is p?\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 - (-6 - -108)) + 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 120935 (b) 2\/3 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1)))\/(w\/(w*w*w**(2\/9)*w*w)))\/(w*w\/((w**(-10)*w)\/w))**(23\/5) assuming w is positive.\nAnswer: w**(-2294\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*f - 4312 = 436*f - 777*f for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9c - 3?\nAnswer: -9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (2 - 3) - -1461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssuhsshshshss. Give prob of sequence shuh.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 2 - (0 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -66*d - 2*z, -134959*d - 2*z = -134958*d - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87998158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w**2 + 8*w - 9. Let r = -34 - -37. Suppose 0 = i + 3, 0 = b - r*i - 3 - 1. Let l(m) = -4*m**2 - 4*m + 4. Give b*l(y) - 2*u(y).\nAnswer: 2*y**2 + 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1128)\/(-96))\/((-2 - -3)\/4). Does l = 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 21b0207?\nAnswer: 21b020a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.82 - -0.22. Let q = s - -1.9. Which is the biggest value? (a) q (b) -3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(1*2\/4). Let j(i) = 30*i + 666. Let f be j(-20). Let b = f - y. What is the highest common divisor of 84 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-12))\/(z*z**(-5))*(z**(-1\/5)*z)\/((z*z*z**7)\/z*z*z) assuming z is positive.\nAnswer: z**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4 - 3. Let y = 0 - u. Is -1*(-89 - (y + -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2074 = 265*n - 1987 - 2299 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.15 times -0.4?\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4203 is divided by 263.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + m + 1063 = 405, -u = m - 167. What is the greatest common factor of u and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2127.65 - 1968. Let c = k + 16.45. Let h = c + -186. Round h to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -3 - 15\/(-3). Suppose 6 = -2*v + 4. Let r be u*2*(2 + v). Solve -n = -r*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -160 + -5212?\nAnswer: -5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 4*d - 2*d)*(-d + 3*d + 2*d + (-2*d + 3*d - 2*d)*(1 + 4 - 6)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 200619 divided by 6?\nAnswer: 66873\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1237\nAnswer: -247.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**25\/f*f**(-2\/35) assuming f is positive.\nAnswer: f**(873\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/((-9)\/(-24)*-2). Let z = 41 - t. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 331484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 35960*j. Let o(r) = -25*r**2. Give c(o(i)).\nAnswer: -899000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.4 + -14. Let g = 0.69 + -0.09. Let l = g - r. What is l rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -19*w + 2. Let b(a) = 82*a + 125. Give b(y) + 4*i(y).\nAnswer: 6*y + 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*j = -16, -30 = r + 2*r + 3*j. Let z = r + 12. Solve 0 = -4*v - 3*c + z, -2*c + 6 - 28 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10281*c**2 - 10283*c**2 + 30849*c**2 + 2*c - 10288*c**2.\nAnswer: -3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 55. Suppose v*o - 8*o = -75. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/17)*a*(a**(-2\/13)\/a)\/a)\/(a*a**0*a)**(-6\/11)*a*a*(a*a*a**(-6)*a)\/a*a\/(a**(-2\/7)\/a)*a*a*a**(3\/8)*a**(-2\/5) assuming a is positive.\nAnswer: a**(1576063\/680680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-18)*(-8)\/2*1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 8:32 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35431, -35582, -35847, -36232, -36743?\n\"Answer: -c**3 - 51*c**2 + 9*c - 35388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 62*y - 639 + 1989 = 0 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10188*25970\nAnswer: -264582360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 5 - a)*(-15*a - 90 + 90).\nAnswer: 15*a**2 - 75*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7509643? (a) -3 (b) -1\/4 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4264116 and 41219788.\nAnswer: 123659364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (28 - (-4 - -18)) - -8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/7*2*(-3)\/2436. Let q = a - -8105\/4263. Calculate the common denominator of q and -83\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057081655 rounded to six decimal places?\nAnswer: 0.005708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + t. Let q be s(1). Suppose -25 = -5*c + 2*a, 9 = 2*c - 2*a + a. Let h be (c + (-222)\/33)\/(18\/8). Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 925168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -175*g**2 + 4 - 3 + 35*g**2 + (0*g - g + 2*g)*(0*g + 16*g + 3*g).\nAnswer: -121*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 458043222863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*u = 2*b - 115, -23 = -u - 2*b. Suppose 23*o - u = 230. Solve a + f - 6*f - 8 = 0, -3*a + o = -2*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*u - 53 = 20, 8*i - 4*u + 2*u = -112 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7866 * -3.\nAnswer: 23598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 6*q**2 - 5*q**2 + q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laaaz. Give prob of picking 1 z, 1 l, and 1 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -30*s**4 + 3*s**2 - 6*s - 72. Let h(f) = 31*f**4 - 4*f**2 + 8*f + 73. Let w(v) = -3*h(v) - 4*m(v). Differentiate w(p) wrt p.\nAnswer: 108*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*l**5 + 8*l**4*q - 2*l*q + q - 10 wrt l.\nAnswer: -340*l**3 + 96*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 5585*l**3\/6 - 1913*l**2 + 5236*l. Differentiate u(v) wrt v.\nAnswer: 5585","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let b(k) = 6*k**2 - 25*k - 1. Let g(x) = x**2 - 5*x. Let w(m) = 2*b(m) - 11*g(m). Let z be w(-5). Is y > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -15. What is the greatest common factor of a and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12a1 - 905?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*w - 49 = 116, 0 = -4*w - 12. Suppose 7*t - 2*t = b. Suppose t + 10 = i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 21*u + 1. Let w be y(2). Let z = w + -38. Let v = 236.3 - 236. Sort z, -3, -5, v in descending order.\nAnswer: z, v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.542867 take away 20915?\nAnswer: -20914.457133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003687 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa77a9 (base 11) to base 8.\nAnswer: 6573443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 3, -29\/2, 218 in increasing order.\nAnswer: -29\/2, -0.01, 3, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/17253 and 27.\nAnswer: 17253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7056.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26\/317 + 769\/2219. What is the closest to -0.1 in -4, y, -15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 - 162 = -32964*q + 32868*q - 1596 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2293660052?\nAnswer: 2, 573415013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Let n(b) = b**3 - 5*b**2 - b + 3. Let g be n(5). Put i, 2, g in decreasing order.\nAnswer: i, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45074.7ml?\nAnswer: 45.0747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g. Let w(c) = -1839*c**2 - 330*c. Let m(v) = 115*v**2 + 20*v. Let f(k) = 66*m(k) + 4*w(k). Give f(d(t)).\nAnswer: 2106*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 - x. Let v be c(1). Let z be 7 - (1 - v)\/(-4). Solve -z*g - 12 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000132385086 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 6*g + 6. Let c = -16 + 12. Let q be b(c). Let d be (-1)\/(-2) - (-5)\/(-4). Is d not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -2. Suppose 0 = 2*t - h - 5. Suppose t*o - 60 = -0*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 7*f - 3. Let z = -1378 + 1375. Let n(j) = -3*j**2 - 7*j - 4. Calculate z*n(x) + 4*y(x).\nAnswer: x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p = 28*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-28) - 32\/(-28)) + -1. Solve q = c - 4*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g - 105. Suppose -6*r - 151 = -25. Let q be w(r). Which is the closest to -4? (a) -0.1 (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69.6 + -181. Let w = x - 29.3. Let p = w - -147. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -11, 64, 2\/3, -0.5, 129?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15022, -15074, -15126, -15178, -15230, -15282?\nAnswer: -15334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (7 + -3 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1303133 (base 5) to base 3\nAnswer: -1021212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 + 9*q + 12. Is 12 a factor of c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16543511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1839575, -1839644, -1839759, -1839920, -1840127?\nAnswer: -1840380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2831 + -2827. Which is the biggest value? (a) 0.3 (b) n (c) -3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 12. Calculate j(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -37740499, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v + 51. Let x(d) = 859*d**2 - 4*d + 4. Determine x(l(c)).\nAnswer: 7731*c**2 + 262842*c + 2234059","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116 - 63) + -67 - (-1 + 10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72175 or 72399?\nAnswer: 72399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 3.9?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46166 and 5.\nAnswer: 230830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -226, -210, -194, -178?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -40. Which is bigger: 19 or w?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4 = -3*p, -8*y + 10*y + 8 = p. Factor p*b + 16\/7*b**3 - 4\/7*b**2 + 0.\nAnswer: 4*b**2*(4*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037950743 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*q - 24*q = -7454392. List the prime factors of q.\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 774122*s*z**3 - 3*s*z**2 - 480*z**3 - 3*z**2 - 50*z + 1 with respect to s.\nAnswer: 774122*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x + 71*x = 384. What is the highest common divisor of x and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o - 35. Let x(w) = 5. Let y(r) = -4*q(r) - 28*x(r). Let z(u) = -4*u + 16. What is z(y(s))?\nAnswer: 64*s + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 2. Let t be 72\/(-20)*c\/1. Let f = t - 13. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*w - 7, 0 = -w - 17*a + 15*a + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*k - 97*k + 5 + k**3 + 2*k**4 - 4 + 2*k**2 in the form c*k**2 + y + o*k + t*k**4 + p*k**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2*u*u*u**(-7))\/((u*u**1)\/u)**21)\/((((u*u\/(u*u**8))\/u)\/(u**(-2\/5)*u))\/(u**3\/(u\/u**4))) assuming u is positive.\nAnswer: u**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 28 = -l, 17086*l = 17076*l - u + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10040307*o**6 - 10718354*o**2.\nAnswer: -1204836840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - v - 5. Suppose 5*u - g = g + 37, -g + 34 = v*u. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 758 = 3*y, 5*y + 5*p - 499 = 3*y. What is the highest common divisor of y and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -12*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55813428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.7 and 0.65.\nAnswer: -9.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - d + 6)*(-d + 0*d + 2*d - 2*d + 0*d + 0*d + (3 - 5 + 0)*(-3*d + 2*d + 2*d) + 9*d - 339 - 339 + 675) in the form a*d + g + o*d**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110064336 (base 7) in base 3?\nAnswer: 110102112101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 1. Let m(y) = -22*y - 26. Let c(u) = 104*l(u) + 4*m(u). Let t(h) = -36*h**2. What is c(t(i))?\nAnswer: -576*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2480 and ((-22)\/(-440)*-15)\/(2\/(-24)).\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*g + 411 + 1643 + 85 = -517 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -203549*w. Let k(i) = -152*i**2. Give k(b(u)).\nAnswer: -6297693700952*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5766\/5580 + (-6)\/(-20)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. What is the smallest value in g, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1629 is divided by 461.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 5\/2, 0.4, 0.03207?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.42409 months to centuries.\nAnswer: 0.022020075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 5. What is j(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3623 + 2027. What is m rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -54, -61, -66, -69, -70, -69, -66?\n\"Answer: b**2 - 10*b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237190 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) -48.1 (c) -7\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8051227 = -264*m + 13803678 + 10803253. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 14*w - 36. Let n be 2\/(-6) - (-124)\/w. Solve -j + n = 2*d, 6*j - 27 = -5*d + 3*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 11*d + 3. Let t be x(-11). Suppose 0 = i - 6 + t. Suppose -5*m + c + 933 = i*c, c = -4*m + 744. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -19. Calculate the common denominator of 15\/4 and ((-2)\/c)\/(4\/498).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/7)\/(28\/(-196)). Let l(t) = 7*t**3 + 2*t**2 - 2*t + 1. Is l(h) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3121 is divided by 1011.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 400*p**2 - 726748*p + 33887464.\nAnswer: 4*(p - 457)*(p - 46)*(p + 403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**4 + 128*m**3 + 394.\nAnswer: 12*m**3 + 384*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + g - 29 + 7, -4*f + g = -5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/6*20\/(-165). Let d be 5\/(-2)*(-1)\/10. Let z = 86.49 - 86.49. Which is the closest to z? (a) d (b) -6\/11 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 divided by -8860.\nAnswer: 193\/8860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116807*s + 5*c + 444 = 116794*s, -3*c = 9 - 0 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 112*m**2 - 222*m - 232. Give f(-110).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from psnippiiipi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 718 - -3?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16399937 is divided by 57?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 2.9?\nAnswer: -0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*9\/(-6))\/((-2)\/1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjw when three letters picked without replacement from {b: 1, w: 3, j: 5}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -384 + 748. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110111 - -11010101?\nAnswer: -110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and -7.8141.\nAnswer: -359.4486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -25, -68, -131, -220?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1788415163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 2 (c) 0.5 (d) -0.06 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r - 29 = -q, 0 = -5*r + q + 21. Let i(k) = -k + 1. Let b(g) = -4 + 17 - 4 - 5 - 3*g. Let y(f) = r*i(f) - b(f). Determine y(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 3*i - 4*i)*(-7*i + 1 - 1)*(-1 + 1 + 1 + (3 + 2 - 4)*(5 - 3 + 0)).\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(252) + -3 - sqrt(252))*-2 - (-2*2*sqrt(252) + sqrt(252) - -3*(sqrt(252) - 1*sqrt(252))))**2.\nAnswer: -9328 - 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(2915\/(-585) - -5). Let c = -104 - v. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = -27. Let p(o) = -o**3 + 3*o**2 - 2*o - 3. Let t be p(3). Let y(i) = -i**2 - 11*i + 13. Calculate the remainder when y(t) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/5))\/t**(2\/7))\/(t**8*t**(-1\/3)\/t*t) assuming t is positive.\nAnswer: t**(-793\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + 1.2. Let o = -131.917 - -0.517. Let d = 131 + o. What is the closest to d in -4\/5, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bc3 - 2?\nAnswer: 1bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49305.98ml to litres.\nAnswer: 49.30598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - t**3 - 3*t**3)*(224*t**2 - 3034*t + 3034*t) + 3 + 2*t**5 + 6 + 2.\nAnswer: -894*t**5 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = 13. Suppose 2707 - 747 = 109*r - 60*r. Let c be 8\/12*i + r. What is the greatest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 374 + -156. Suppose 2*a - 391 = 3*n, -2*a + a - 3*n = -b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-340)\/(-56) - (4 - 1) and 151\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*h - h - j, 3*h + 5*j + 22 = 0. Let c be h\/(-2) + -1 - 1. Suppose y = -c*y + 4. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -30*o**3 + 3*o + 1. Is a(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253 divided by 2\nAnswer: 253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 148.9079 nanometers?\nAnswer: 0.0000001489079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsssnninnnnns. What is prob of sequence sn?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/3, -1\/6, 2\/7 in decreasing order.\nAnswer: 1\/3, 2\/7, 0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1617 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(sqrt(1300) + 1*sqrt(1300) + -1 + (sqrt(1300) - (sqrt(1300) + 0)*1 - sqrt(1300)))*6)**2.\nAnswer: -187344 + 2880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -421, -840, -1259, -1678?\nAnswer: -2097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = 5*y - 2*y - 4*b, 5*y = 2*b + 875. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c - 150. Let r be j(39). Let k = -311 + r. Solve k - 3 = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 1156\/7 - 136\/7*d + 4\/7*d**2 = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 100100100100?\nAnswer: -100100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1129, 1138, 1151, 1168, 1189?\nAnswer: 1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 3\/6*4. Let x be (-2 - (-3)\/1)*i. Suppose 11 = a - x. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 184*f - 189*f + 55, -3*f = t - 33 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4734552143 take away -4?\nAnswer: 4734552147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -94?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 + 4 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1379, 2756, 4131, 5504, 6875, 8244?\n\"Answer: -s**2 + 1380*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 66490549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26093 + -25657. Solve -w*g - 5 = -435*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612683?\nAnswer: 3, 59729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, g: 3, b: 8, l: 2}. Give prob of picking 1 l and 3 g.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5964239761?\nAnswer: 17, 31, 1283, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 4*x + 3. Let c be 1*-5 + 3*(-77)\/(-21). What is j(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1839999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110011 (base 3) in base 15?\nAnswer: 7e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*y - 7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12126*l + 13 = -20*z + 22*z - 12123*l, -6*z + z = 2*l - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 1. Let i = -2 - o. Let h = i - 3.00000006. Round h to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + t - 23. Calculate g(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/68816 and 73\/3910?\nAnswer: 344080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -2\/3 (c) -2\/159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 182131, -2\/5, -18?\nAnswer: 182131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 911?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26785 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-32219)\/606)\/(-29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(1*(-6 + 5) - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2337, 2243, 2149, 2055, 1961?\n\"Answer: -94*j + 2431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**5 - 90498*n**4 - 1901781*n**3 = 0.\nAnswer: -21, 0, 30187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Let w be h\/(21\/12 - 1). Solve w = 2*q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 831, 1448, 2325?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 141.\nAnswer: 141.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -15*q + 14*q - 25, -25 = 5*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 11*d - 4. Let b(c) = c**2 + c. Let z(p) = 4*b(p) - n(p). What is z(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 23 - 13240*z**3 - 4 + 13243*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 919.5243 nanoseconds?\nAnswer: 0.0000009195243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.4 + -5. Let r = 110.8 + -100. Let n = r + -11. Which is the nearest to n? (a) u (b) 2 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*y - 163 + 58. Calculate the greatest common divisor of y and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/5, 0.07, -21 in increasing order.\nAnswer: -21, -0.1, 0.07, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 363411.5mg?\nAnswer: 363.4115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 51, 60, 71, 84, 99, 116?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1861779 rounded to 3 decimal places?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/9))**(-3\/10))**(-1\/14))**(-14\/9) assuming s is positive.\nAnswer: s**(-1\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11244234 (base 5) in base 6?\nAnswer: 2113101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28220 and 3740.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 402 (base 5) to base 11\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i + 4 = 0. Let o = -1 + i. Suppose -9 = -4*m + g + 2*g, 0 = -4*m + 2*g + 10. Solve -5*s = -0*s + 5, o*n + m*s = -3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68491907 divided by -1?\nAnswer: 68491907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 + -6.13. Let t = -6.04 - a. Let b = -0.0394 - t. What is b rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11371 = -6*d + 11*d - 3*j - 11176, -3*d = 5*j + 83 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -36. What is the remainder when 223 is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 21*s**2 - 45*s - 27. Let f be q(17). Find the first derivative of -l + l + 12*l**4 - 308 + f wrt l.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -27. What is the greatest common divisor of 60 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*v = q + 365*v - 182*v + 13, 5*q - 2*v = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*z - 11, 0 = 5*z + 20. Let p be 4\/f + (-4)\/(-6). Solve 5*u + 5*r = -30, 6*r = -2*u + p*r - 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/12 + 7*v**3\/6 - 7*v**2\/2 - 9*v. Determine k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -11. Solve -w + 2*k - 6 = a, 0*k + 9 = -2*w + k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1209 + 81.\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1251 or 1252?\nAnswer: 1251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-3) - (-40)\/3. Let k be b\/78 + 37\/13. What is the third derivative of -5*u**k - 4*u**3 - 2*u**2 + 4*u**2 wrt u?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 12\/3 - -2. Let o(l) = -4 + 7 + m*l**2 - l**2. Is o(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 2*f**2 - f - 3. Let c be x(3). Let z = -5 + 11. Solve 0*j + z = c*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/70 - o**4\/42 + o**3\/21 + o**2\/7 - 6*o + 4. Determine f, given that w(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 879 and 11?\nAnswer: 9669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from thithhthh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4220, -17264, -39132, -69824, -109340, -157680?\nAnswer: -214844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = -5*i + 15, 3*i = 4*d + 12. Let f = 3 + -1. Solve o - 3 + f = i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**3\/3 - 10*a**2 - 27*a + 5. Let n be i(21). Let q(l) = -5*l**3 - 6*l + 6. Let s(k) = k**3 + k - 1. Calculate n*s(o) - q(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0015 - 0.3985. Let b = -5.3 - -2.3. Sort -5, 2\/5, b, d.\nAnswer: -5, b, d, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 427*-0.3\nAnswer: -128.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -114, 0.2, -3\/2, -4, -0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7896\/15)\/(2\/10). Let k be 2*8\/12*3. Suppose -3*w - o = -4*t, -w - 2600 = -k*t - 6*w. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.887 - -1373\nAnswer: 1371.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.6 (b) 0.4 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -y - 5*r, -2 = r - 0. Let n = -972 + 1049. Let i = n + y. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -d + 9, 4*d - 9*q + 14*q = -14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22805825.\nAnswer: 5, 7, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*l + 1145*l + 7 - 316*l - 2 - 6 - 292*l - 288*l.\nAnswer: -59*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - -17401?\nAnswer: 17450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/474 and -49\/395.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*-1 - (sqrt(280) + sqrt(280)*-2)\/sqrt(7))\/(sqrt(72)*-5 - sqrt(8) - sqrt(72)\/(2*sqrt(9))).\nAnswer: 4*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 50*t**2 - 501*t + 1. Calculate l(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaaaaffafa. What is prob of picking 2 f?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104035 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 1\/8, 22.9, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 16*z - 16. Let h(x) be the second derivative of -x**3\/6 + x**2\/2 + 1122*x. Give 5*a(k) + 80*h(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 1 (c) -1\/2 (d) 6630\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25480039*1.1\nAnswer: -28028042.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*c - 36*c + 4*c**3 - 15*c**3 + 9*c**3 in the form h*c + s*c**2 + f + t*c**3 and give h.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 1 - 4*a**2 + 13*a**2 + 5*a**3 + a. Let g be u(-9). What is the tens digit of 492\/g*(-4)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 2, 0.1, 16, -6\/11?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2178, -2, -0.15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3. Let r(y) = 240*y - 241*y + 3 - 7. What is 3*b(t) + 2*r(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - 1347*(1 - 320\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/48*-39 - 2\/8. Let n(c) = -9 - 4 + a*c**2 - 3*c + c**2 - 4*c. What are the prime factors of n(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26262731 to the nearest integer?\nAnswer: 5125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 21*w**2 + 6*w + 20. Let k be a(22). Let q = k - 436. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p + 2. Let l(d) = 8*d - 9*d - 3 + 0*d - 8*d. Calculate 3*l(y) + 5*z(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.93 - 0.07. Let t = -80 - -79.9. Sort m, -1, t in decreasing order.\nAnswer: t, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 3*h**2 + 3*h + 0*h**2 + h**2 - 5*h**2 + (2*h**2 - 1 + 1)*(3 - 1 - 3) - 2*h**2 - 2*h**2 + 3*h**2 + 2*h**2 - 66 + 66 - 10*h**2 + 9*h**2 - 4 - 2.\nAnswer: -9*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) 7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 10. Let c(h) = -3*h - 9. Let m(f) = -4*b(f) + 5*c(f). Let d(y) = -4*y - 7. Let p be (153\/18)\/(-17)*-14. Give p*m(u) - 5*d(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.21 and -55.\nAnswer: -56.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3 + 7, 2*f = -4*p + 22. Suppose -2*z = r - 3, 4*r - 1 = -4*z + r. Suppose -3 = z*i - f*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**3\/5 + 4876*q**2\/5 - 241636*q\/5 + 1621536\/5 = 0.\nAnswer: 8, 42, 4826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1300203 + -213?\nAnswer: 1233330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 10:35 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3)*1*-9. Suppose -6 - 6 = -o*m. What is the second derivative of -3*u + u**4 - 3*u**4 + u**m - u**4 wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 1 - m**2 - 4*m**2 + 2*m**2 + 0*m**3 - m**3. Let s be o(-4). Suppose 12 = s*l - 2*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4454 = -2*w - v, 5*w - 10*v - 11157 = -7*v. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -180 and -157461.9663966.\nAnswer: -157641.9663966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 plus 0.74013817301?\nAnswer: -48.25986182699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233136.\nAnswer: 2, 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2327 and 3341.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 at least -1\/1311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5473 and 162?\nAnswer: -886626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 9. Solve -12 = -p*l + 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 96*h - 75*h. Let s(q) be the third derivative of -q**6\/120 - q**5\/12 - q**4\/8 - q**3\/2 - 12*q**2. Give s(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 661*o**3 - 3*o + 679*o**3 + 2*o + 639*o**3 - 1997*o**3.\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:08 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 83, 93, 121, 173, 255, 373, 533?\n\"Answer: u**3 + 3*u**2 - 6*u + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3268076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Let c(l) = 2*l - 2. Let f be c(q). Let u(h) = 4 - 10 - 4*h - 2*h - h - h**f. Give u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140207*w + 6424 - 1154 = -140122*w for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6019400?\nAnswer: 2, 5, 30097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -6, -2099, -1 in descending order.\nAnswer: -1, -6, -8, -2099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -828*a**5 - 1177*a**2 wrt a?\nAnswer: -49680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -p - p + 6, 5*u = -3*p + 22. Suppose p*q + 7 = 5*q. Calculate the greatest common divisor of 28 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = -d - r, -5*d - 10 = 3*r. Let p = d - -4. Calculate the remainder when 2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4570220 to the nearest 10000.\nAnswer: -4570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -7. Let b(d) = -4*d. Let m(g) = -g**2 - g + 1. Let q(w) = r*b(w) - 4*m(w). Factor q(h).\nAnswer: 4*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1786*l + 10599. Does 87 divide c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17\/4 - 73\/20. Which is the closest to 2? (a) -0.1 (b) n (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.9 + -15. Let u = -1 + 0. Is n < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28177926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Which is smaller: 1\/22 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 20 = 3*j, 9*j = 4*j + 3*y + 26. Let q be ((-226)\/(-6) - j) + (-3)\/(-9). Calculate the greatest common divisor of 357 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680160 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 163*d**3 - 11*d**2 - 4340*d - 11930. Let u(p) = -89*p**3 + 6*p**2 + 2170*p + 5965. Let y(x) = 11*u(x) + 6*v(x). What is the derivative of y(t) wrt t?\nAnswer: -3*t**2 - 2170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-45)\/108*-2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/18 + 5766\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6))\/((-46)\/(-23))*315\/(-15).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -869834*q - 16289814 with respect to q.\nAnswer: -869834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + 2*j**5 - 2*j**2 + (-j**4 + j**4 + j**4)*(2*j - 2*j - j) - 3*j**3 + 3*j**3 + j**5 + 66*j**4 + 3*j**5 - 66*j**4.\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**25*j**(5\/6) assuming j is positive.\nAnswer: j**(155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 - 189*o**2 + 192*o - 92. Calculate n(62).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2611 - -12540?\nAnswer: 6626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/10, 28\/3, 0.5, 3630?\nAnswer: 3630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a4d (base 14) in base 2?\nAnswer: 10100000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**5\/30 - s**4\/2 + 3*s**3 + s**2 + 29*s + 82. Let y(b) be the second derivative of t(b). Factor y(n).\nAnswer: 2*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1653155 divided by 4.\nAnswer: 1653155\/4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -10183, -20491, -30913, -41449?\nAnswer: -52099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arrarrrrraaamajraarm. Give prob of sequence amra.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 2 = -2*o - 2*o, 2*i + 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n**3 + 986*n**2 + 27*n - 958. Let j(v) = -6*v**3 + 492*v**2 + 12*v - 480. Let l(u) = -3*h(u) + 7*j(u). Solve l(m) = 0.\nAnswer: -1, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44025852 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -6\/11 (b) -2 (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398431?\nAnswer: 11, 29, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169213\/2 - -84615. Let k = -1.95 + -0.05. Sort k, z, -5, 3 in increasing order.\nAnswer: -5, k, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35785*s - 107387*s + 35826*s + 35802*s - 2.\nAnswer: 26*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -18*a. Let y(s) = s - 1. Let v(w) = w**2 - w + 1. Let i(x) = v(x) + y(x). Calculate o(i(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1595892 or -60643851\/38?\nAnswer: -1595892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 48, 140, 304, 564, 944?\n\"Answer: 4*z**3 + 16*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195\/4*j**5 + 9\/2*j - 717\/4*j**4 + 0 - 327\/4*j**3 + 213\/4*j**2 = 0. Calculate j.\nAnswer: -3, -1, -1\/13, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from nunssnssssssunttn?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2123, -18780, -63995, -152048, -297219?\nAnswer: -513788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -273 + 1914\/7. Calculate the common denominator of 3\/9*-3 + (-76)\/(-14) and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 460656*h**2 + 414925*h wrt h.\nAnswer: 921312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3404392430\/48 + (-3 - -4). Let w = i + -70936851. Let f = w + 12010. Calculate the common denominator of f and 131\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*d**2 - 30*b**3*d + 17*b**2*d**2 - 6*b*d - 24*b + 21*d**2 wrt d.\nAnswer: -2*b**3 + 34*b**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 115322 = -100*f + 116861 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 5*r**2 - 10*r - 2. Let k(w) = 2*w**3 + 10*w**2 + 21*w + 3. Let j = 35 - 31. Let h(i) = j*k(i) + 9*p(i). Give h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -491, -996, -1501?\n\"Answer: -505*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**5\/60 - s**4\/3 + s**3\/2 - 171*s**2. Give v(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308810998?\nAnswer: 2, 47, 4679, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20478 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -20*n + 139 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 733627.4 centuries?\nAnswer: 7336274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*s**2 - 579*s**2 - 26*s**2.\nAnswer: -754*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 12*a**2 + 49*a - 1391. List the prime factors of y(81).\nAnswer: 2, 5, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -79, -78?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 + 8. Suppose 2*g + 3*b - 210 = -b, b = 2*g - x. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiioi?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4025.92 decades to years.\nAnswer: 40259.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 153*v**2 - 4681*v\/3 + 1407.\nAnswer: (v - 9)*(v - 1)*(v + 469)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 24. Let j(q) = 21*q**2 + 1. Calculate a(j(l)).\nAnswer: 21*l**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -10 + 6 + -1 - (-154)\/35?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/5 + 169072*r\/5 + 67632.\nAnswer: -4*(r - 42270)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-510)\/240)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 803188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(153)*1*-1)**2 + (-6*(sqrt(153) + 1) + 1)**2.\nAnswer: 180*sqrt(17) + 5992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/279312 and -131\/2482068?\nAnswer: 109210992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 740 divided by 148.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.786473 minutes in microseconds?\nAnswer: 107188380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/10653 and -41\/402.\nAnswer: 21306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 29 - 2*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5155 + 51*u + 5238 - 5115*u.\nAnswer: -5064*u + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(320) - -5*(-3 + sqrt(5))))**2 + ((sqrt(720) - (sqrt(720) + (sqrt(720) - sqrt(720)*-2))*1) + -1 + -2*sqrt(720) + -2)**2.\nAnswer: -680*sqrt(5) + 21789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56533215 a multiple of 681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/19279?\nAnswer: -2\/19279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 144*v + 119. Let z be 6\/36*-4*270\/(-4). Is g(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 750966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 186026922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktx when three letters picked without replacement from {j: 5, x: 1, t: 1, d: 3, k: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a + 41. Let c be i(6). Suppose -14 = -c*v + 3*x + 11, 5 = -5*v - 3*x. Let h(z) = -2*z**3 + z**2 + 3*z - 1. What is h(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-92)\/(-3)*3\/2. Let y = 67 - h. What is the common denominator of y and -3\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 57\/5*b**2 + 84\/5*b + 36\/5 + 6\/5*b**3 - 3\/5*b**4 = 0.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 451, 840, 1265, 1744, 2295, 2936, 3685, 4560?\n\"Answer: 3*u**3 + 368*u + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 4*s**2 + 2*s - 4. Let y be d(4). Let i(o) = o**2 - 8*o + 1. Let z be i(8). Solve -u + z = -y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1067269991 - -10.\nAnswer: 1067270001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (297\/(-12))\/(-90*(-19)\/2280)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10*-20)\/(4*9\/(-18)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -5 (c) -3 (d) -3\/17 (e) -2\/3 (f) 1\/3 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4158934485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/3, 2, 14\/9, -2\/9 in increasing order.\nAnswer: -1\/3, -2\/9, 0.2, 14\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = -7. Let i = 5 + -6. Let f be (15\/50)\/(6\/16). What is the biggest value in i, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 5*m - 18 = 0, -8*i = -9*i - 2*m + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 divided by -11338.\nAnswer: 137\/11338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 4:11 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - m + 1. Suppose 2*y + 4*x - 4 = -0*y, 4*y = 3*x + 41. Let h(z) = 2 + 149*z**2 - 146*z**2 - 2*z + 0. Give y*a(g) - 3*h(g).\nAnswer: -g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 50, 154, 258, 362, 466, 570?\n\"Answer: 104*v - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3187287.35 rounded to the nearest one hundred?\nAnswer: 3187300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -62. Let z = 27 + o. Let x(s) = -7*s + 8. What is the units digit of x(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 28*j + 112. Let k be y(-24). Solve -19*w + k = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3*m**2 + m + 9. Let l be 7\/(-2)*(-256)\/224. What is the units digit of o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43758924755.5 - 0.4\nAnswer: 43758924755.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1254 = 28*t - 655*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321532326?\nAnswer: 2, 631, 1047173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0352 and 0.51675.\nAnswer: 0.55195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkp when three letters picked without replacement from {c: 1, p: 6, k: 6, q: 4}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n**3 - 36*n**2 + 12*n + 137 + 140 - 277 = 0 for n.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(320) - sqrt(320)*-2) - 4*(sqrt(500) - (sqrt(500) + 1)))*-1)**2.\nAnswer: 960*sqrt(5) + 72016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4*y + 170 = 9*y - 16*y, 114*z + 108 = -y - 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**7\/420 + 7*a**6\/40 + 147*a**5\/40 - 40*a**2 - a. Factor f(b).\nAnswer: b**2*(b + 21)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.14743 rounded to one decimal place?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (-9 - -33) - -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1455 at most as big as -351406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 5*p - 8029, 5*p = -2*w + 4037. Suppose -w - 3960 = -7*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 144834, 289603, 434356, 579087, 723790, 868459?\n\"Answer: -k**3 - 2*k**2 + 144782*k + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -3*k - 8. Suppose 4*g = -4*h + 28, k*h = h + 3*g - 9. Let f(z) = -5*z**2 + 14*z + 7. Let i be f(3). Sort i, 1, h in ascending order.\nAnswer: 1, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 4523?\nAnswer: 4524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 11. Suppose -q = -2*x - 9. Suppose -4*s - 4*o = -164, 4*o - o - 3 = 0. Calculate the highest common divisor of x and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1164 - 590. Suppose f = -19*l + 8117. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -849*a**2*x**3 - 55*a**2*x**2 - 749*a*x**3 - 40*a wrt a?\nAnswer: -1698*x**3 - 110*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*d = -149*d - 506 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-68))\/(((-2)\/12)\/(10\/675*-72))\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -622.99999457 + 623. Round z to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15aa (base 12) to base 15\nAnswer: b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-12 - -13 - -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*v**5 + 1401*v.\nAnswer: 780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l - 12. Let a = -82 - -84. Let u be g(a). Calculate the greatest common divisor of u and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 52*y - 7. Let d(w) = -22*w + 3. What is -14*d(v) - 6*x(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(-5)*-13*2 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -75, 2 in ascending order.\nAnswer: -75, -9, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11250 - 11234 - (23 + 0 - 1)) + -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44336 = i - 3*f, 0 = 3*i + 2*f - 122365 - 10599. List the prime factors of i.\nAnswer: 2, 7, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -5 (c) -54302 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -8 - 0) + (99 - 4225\/65).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*f**2*i**3 - f**2 + 39849*f*i**3 wrt f?\nAnswer: 204*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/13 + -34\/65. Let g be ((-390)\/(-117))\/(2\/(-3)). What is the nearest to y in -4, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.66 - -1.51. What is the biggest value in -1, i, -2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 33151, 0.3, -4361?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287775*k**3 + 624073.\nAnswer: 863325*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (1 - (-40)\/(-14)). Suppose -6 = -4*q + q. Suppose -6 = 2*x - 2*z, 4*x + 5*z = -q + 8. Is x <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 29 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-4) - -3 - (-1 + -1). Let u = 1.3 + -0.3. What is the second smallest value in u, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z - 22*z = -5715. Calculate the remainder when z is divided by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*2*3\/(-24). Factor a**2 + 5*a**2 - 2*a**3 - 7*a**h + 3*a**4.\nAnswer: 3*a**2*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 2. Suppose -4*t + 5*k - 12 = 13, -5*t - 4*k = -20. Let c be r(t). Suppose c*j = -l + 22, 4*j + j = -l + 7. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*y + y**3 - 12*y**3 + 30*y wrt y.\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*-30*2\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*n**3 - 2124 + 194*n**3 + 2125.\nAnswer: 157*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c - 4*f + 12 = 0, -4*c + 6 = 2*f. Let b be (0 - -6) + (0 - (-2 + c)). Solve 4*x = b + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 31*q = -138*q + 1610 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3600 divided by -8.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/25 (b) -0.4 (c) -1668 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228*(-45)\/3240)\/(-6*(4\/24)\/(-1)).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464 + 444 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 2. Let l = 10 + -7. Let d be f(l). Suppose 3*j = -d*x + 57, j + 0*x - 5*x = 39. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 4:20 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -186\/5351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2364 + 0?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 5. Let k = -416\/1085 + 170\/217. Which is the third smallest value? (a) t (b) k (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 604461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -17, -22, -27, -32?\n\"Answer: -5*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24650 and 550?\nAnswer: 271150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 400000*t**2 + 6*t - 18. Let d be v(3). Suppose -67*p - d = -63*p. Round p to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 581 = -1937. Let f = 768 + y. Calculate the remainder when 190 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192.834 - -0.166. Let z = n + -193.005. What is z rounded to four decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 628308, 628306, 628304?\n\"Answer: -2*p + 628310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -9*y**3 - 7*y. Let f(m) = 2*m. Determine a(f(s)).\nAnswer: -108*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58437.1 meters to millimeters.\nAnswer: 58437100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -146*u**4 + 5*u**3 - u**2 - 3*u - 12. Let v(w) = -w**4 - w**3 + w**2 + w - 1. Let j(p) = 3*v(p) + z(p). Find the third derivative of j(l) wrt l.\nAnswer: -3576*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5*k = -32, -90*t - 4*k + 13 = -91*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdzc when four letters picked without replacement from {d: 1, e: 2, z: 2, c: 3, a: 4}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - u + u**2 - 669 - u**3 + 738 as g + o*u + a*u**2 + n*u**3 and give g.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from {a: 2, q: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 2*x**2 - 8*x - 16. Let l be g(7). Suppose 65*a = 62*a - l. Let s = 62 - a. List the prime factors of s.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12399\/16 - -775. Which is the nearest to 1\/2? (a) -5\/2 (b) -0.3 (c) 0.1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2103.91 + 2104. Let j be (-18)\/12 - 67\/(-42). Which is the closest to -1? (a) j (b) 4 (c) -5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86.8 - -87. Is -0.18 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*j - 62*j + 32*j. Solve j*a + 0 + 0*a**3 + 2\/9*a**4 - 2\/9*a**2 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39803999615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 69. Calculate t(-37).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 82, 3381696, 0.2?\nAnswer: 3381696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/8 (b) 783 (c) -3 (d) 1\/4 (e) -0.4 (f) -251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 + 145. Factor -6*m - 6*m**2 - t*m**2 - 36*m**3 + 34*m**3.\nAnswer: -2*m*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 41*z. Let d(i) = -2156*i. Calculate d(m(c)).\nAnswer: -88396*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1100100100011110110 (base 2) to base 7\nAnswer: 3333600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 27*a. Suppose -3*q = -2*m - 31, -4*m - 199 = -3*q - 158. What is the remainder when b(1) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185092381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:58 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 3*u**2 - 3 - u**3 - 16*u - 7*u**2. Let y(a) = -a**2 - 167*a - 1125. Let t be y(-7). Let x be d(t). Solve -5 = -x*s + s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 468, 1615, 3856, 7557?\nAnswer: 13084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-5) + 23 + 1. Suppose 5*r - 8 = -b. Let w(p) = 5*p**3 + 14*p - 5. Let a(i) = -2*i**3 - 5*i + 2. Give r*w(t) - 8*a(t).\nAnswer: t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 218*g**2*h - 2949*g**2 wrt h.\nAnswer: 218*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-5))\/(29\/145)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1230707?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let a(r) = r**2 + 1317500. Determine w(a(i)).\nAnswer: -i**2 - 1317500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 9) to base 14.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 268?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -44, -21, 54, 199?\n\"Answer: 3*x**3 - x**2 - 29*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 11:20 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.58 - 0.6. Let t = 1.02 + m. Let o = 89 - 84. What is the closest to t in o, -0.1, -0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 73 = -y, 0*o - y = -5*o + 184. What is o rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, 5 in ascending order.\nAnswer: -14, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x**2 + x)*(x + 0*x - 6*x)*(-20 - 1 - 3) + (-2*x - 2*x + 2*x)*(-3*x**2 + x**2 + 4*x**2) - 2*x**3 + 2*x**3 - 2*x**3 + 0*x**3 - 2*x**3 + 4*x**3.\nAnswer: 116*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63\/5 + -829\/65. Let o = -0.3 - -0.4. Let w = o + -0.5. Which is the closest to -1? (a) m (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -857 + 612. Let y = d - -430. Suppose -3*v - 2*v = -q - y, -v + 37 = -q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/10213 or -1?\nAnswer: 18\/10213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 2*u**5\/15 + 2*u**4 + 14*u**3\/3 - 98*u**2\/3 - 608. Factor t(h).\nAnswer: 2*h*(h - 2)*(h + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, 1 v, and 1 r when four letters picked without replacement from vvverptv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 + 101. Let d be 4\/r*(-3 - 30\/(-2)). Put 1, 4, d in increasing order.\nAnswer: 1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + -1097\/8. What is the nearest to 0.1 in d, 5, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4199.8 - -4199.779993. Let v = -0.82 - -0.8. Let k = v - n. Round k to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*sqrt(448) - sqrt(7)).\nAnswer: 155*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:26 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1358975 divided by 271795?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 417.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxjjssxjjsds. What is prob of sequence xs?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 5*h**2 + 5*h + 5. Let p(w) = 4*w**2 + 4*w + 4. Let t(l) = 5*l**3 - 3*l**2 + 2*l. Let j be t(1). What is j*f(y) - 5*p(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*h - 7 + 2*h**3 + 2 in the form k*h + z*h**2 + i*h**3 + c and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1189, 1 in decreasing order.\nAnswer: 1189, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 12*l = -180. Let d be 1720\/1419 - (-4)\/l. Let -2\/11*j**2 + 0 + d*j = 0. Calculate j.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeqg. What is prob of picking 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-2)\/5)*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -1*sqrt(133))*3 - 3*(sqrt(133)*2 - sqrt(133)))\/(-2*sqrt(1008) + sqrt(1008) - (sqrt(28)*1)\/sqrt(4)).\nAnswer: -3*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 17.9975. Round x to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f**3 + 7*f**2 + 41*f + 81. Determine v(-2).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*a = 192*a - 129*a + 288. Let p = -9 + 9. Solve a = 2*n - p*n, 22 = -4*b + 3*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-160 - 114 + 350)*(2*z - 2*z - 3*z) to the form k + t*z and give t.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**6 - 270*a + 210*a**5 - 2939*a - 111*a**5 + 2*a**2 - a**4 - 2062*a**5 wrt a?\nAnswer: -360*a**3 - 117780*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-2) + 307714\/176. Let u = i + -1762. What is the common denominator of -67\/8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(7\/8))**(-45)*r**(-2\/11)\/r**4*(r**0*r)\/(r\/r**(-5)) assuming r is positive.\nAnswer: r**(2657\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 11:00 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 11:41 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 0. Let g(m) = m**2 - 10*m - 9. Let f be g(k). Suppose 2*t = -4*w + 6, -f*t = -t + 5*w. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15651706 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -1528\/47 in ascending order.\nAnswer: -1528\/47, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15*q + 13*q + 11*q. Let h(x) = -2*x**2 + 5*x**2 - 2*x**2. Give p(h(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.19605 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 18 = -7*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30880 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -70+-1.4\nAnswer: -71.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4726288*x**3 - 62*x**2 - 138531 wrt x.\nAnswer: -28357728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110 - -11?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-2 - z + 2) + 11*z + 71*z + 15*z.\nAnswer: 99*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9405 divided by -15\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -736\/5 - -54379\/370. Find the common denominator of x and -53\/6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -194*s**3 + 4*s**2 - 6*s + 8. Let g(r) = 193*r**3 - 4*r**2 + 4*r - 6. Determine -4*g(i) - 3*y(i).\nAnswer: -190*i**3 + 4*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 4 (c) -5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37487, -74960, -112433?\nAnswer: -149906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738\/4*3\/(18\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16179526 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*o = 187*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 22 = 5*k + g, 20791*g - 20792*g + 0 - 6 = -5*k + 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + -3.93. Let l(s) = -s**3 - 3*s**2 + 5*s + 4. Let p be l(-4). Which is the third smallest value? (a) p (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1043211 + 1?\nAnswer: 1043212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 10) in base 12?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13.6 or 125?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 51279 to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82688\/(-71060) + (-5)\/((-25)\/6).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 11*v + 31. Let x be w(13). Suppose -12 = -3*q - x*k, 4*q - 5*q = -5*k - 4. Suppose -q*p + 144 = 8*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 4*k = 372, -3*q + k - 5615 = -5504 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013248446 take away 0.14?\nAnswer: 1013248445.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -200926*t**2. Let y(v) = 2*v**2. Calculate j(y(i)).\nAnswer: -803704*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-9))\/((-2)\/(-9)))\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/16304 and -139\/6114.\nAnswer: 48912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2234 at least -54290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4575*d**3*j**2 + 24*d**3*j*t + 4*d**3*j + 18*d**3*t + d**2*j + 8*d*j**2*t - 2*d*j*t + 2*j**2*t - 4*j*t wrt j?\nAnswer: -9150*d**3 + 16*d*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 70, -4.6, -0.3 in descending order.\nAnswer: 70, -0.3, -4, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 12:25 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -10*v - 17. Let q = v - 3. Solve q = 4*a + 3*w, -3*w - 21 = 5*a - 8*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -5*s**5\/12 + s**4\/8 + 31*s**3\/3 - 279*s**2. Differentiate t(j) with respect to j.\nAnswer: -50*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 21.253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6*o + 24. What is the third derivative of -3*c**2 + 3*c**6 + 0*c**2 + c**o - c**2 wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -29*g - 15. Let h(y) = 204*y + 114. Let a(j) = -2*h(j) - 15*k(j). Let p(f) = 28*f - 4. Determine 4*a(r) - 3*p(r).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -264.7769, 4, 14, -3 in ascending order.\nAnswer: -264.7769, -3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3485\/52 + 67. Is g bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 11*a**2 - 2*a**2)*(-2 + 2 - 3*a) - 3*a**3 + 0*a**3 + 2*a**3.\nAnswer: -37*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15616240 divided by 976015?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(84)\/(-6*sqrt(7))))\/((sqrt(1400) - -3*sqrt(1400))\/sqrt(7)) + 0.\nAnswer: -3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 665686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-4)*(42\/27)\/((-420)\/(-1080))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 1)*(-1 - 1 - 2)*(d - 2*d + 0*d)*(-34 - 6 - 22 + (5 - 2 + 0)*(3 - 1 + 1)) as r + w*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146 - -216. Suppose 2*n = -4*x + x + 34, 4*n + 42 = 5*x. Calculate the greatest common factor of t and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*d**3\/11 - 33977*d**2\/11 + 22370*d\/11 = 0.\nAnswer: 0, 2\/3, 11185\/211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23\/(-10) - -2)*-2. Let h be (-1 + 406\/(-175) + 3)\/(10\/(-25)). Which is the closest to 0.1? (a) n (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -15, 143 in decreasing order.\nAnswer: 143, 5, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 35360 divided by -80\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 - 30*z - 449. Give d(-12).\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 58 = -550. Let d(l) = -l + 3*l + 49 - u - 5*l. Determine d(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 8*u**2 + 6*u - 1. Let f be l(-9). Suppose 12*o = -f + 7667. What is the highest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-315))\/((-17)\/51)*(-550)\/(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28188 and 61074?\nAnswer: 366444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 7*a - 313 + 5*a - 304 + 145 to d*a + v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/11 + -4\/33. Let q = -4\/3 - n. Suppose 7 = -4*j + 3. Is j not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09, -353, 0, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - c + 85 = 0, 0*z - 2*c = 4*z - 334. Let o be 82\/((-3)\/(-3)) - 0. Is o bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479248 greater than or equal to 1916989\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (23 + -11 - 11) + 25 + -9 + 7 + -5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Let m be (1 - (1 - -1))\/1. Which is the second biggest value? (a) 0.2 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in 688\/11, -0.05, -2\/11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1589*r - 390 + 390 + 1587*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270211359 to the power of 1\/2, to the nearest integer?\nAnswer: 16438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6520 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 1, i: 1, z: 4, s: 4, p: 2}. What is prob of sequence ysz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*k + 68 = -373 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-12) + 7\/(294\/5248747). Suppose 0 = 423*i - 413*i - k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(13)*-2*3.\nAnswer: -6*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + ((4 - 10) + -3 + 6 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-901)\/(-3180) + (-2)\/24. Let b = 1 - 1.5. Let d be 4\/66*(-9)\/3. What is the nearest to d in -1\/4, b, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 7*v**4\/4 - v**3\/2 - 3*v**2\/2 - 6*v. Is 15 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times -39\nAnswer: 74.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -60, -47, -14, 45, 136?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2*b - 73 - 35, 3*p - b = -164. Let s = -252 + 326. Let r = p + s. What is the remainder when 54 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*g + 15, n + 0*n + 24 = -5*g. What is the hundreds digit of (-2)\/8 - -898*g\/(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15648\/7*h - 4074*h**4 + 1536\/7 + 51192\/7*h**2 - 6564*h**3 + 1323*h**5 = 0. What is h?\nAnswer: -16\/9, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2576, 2553, 2542, 2549, 2580, 2641, 2738?\n\"Answer: p**3 - 30*p + 2605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*v**2 - 12*v + 2180 wrt v?\nAnswer: 116*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*z - 491*z + 20 = -3*r + 4, 2*r + 3*r - 5*z = 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*v = 44537 - 44540, p - 4*v + 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -991*d*z**3 - 2*d*z + 216*z wrt z.\nAnswer: -5946*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 16. Suppose 3*p = -k*n + 4, -p - 5*n - 14 + 2 = 0. Let s(d) = d**2 - 7*d - 6. What is the smallest common multiple of s(p) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 12 = -60. Suppose 4*c - c = k. Suppose 0 = -5*z - v + 1, -4*z + 3*v + 8 = -c. Calculate the remainder when 1 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-15))\/((583110\/475)\/99)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + 39. What is the units digit of q\/33*48\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 26895*z - 134600 = 0 for z.\nAnswer: -5384, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10430 divided by -35?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 4*k - 1. Let m be (6\/(-4))\/((-1)\/6). Suppose m = -5*v + n - 10, -3*n + 24 = -4*v. List the prime factors of g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264 (base 7) to base 11.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*a - 20, -5*a - 25 = -5*o - 4*a. Solve -3*i + 5 = 2*i + o*d, -2*i + 4*d = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 29 = 2*f - 4*f, 0 = -5*f + 4*p + 77. Let c = f - 82. What is the smallest common multiple of (-2)\/(-8) - c\/12 and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.6011 - 1.0759. Let k = -8.17 - u. What is k rounded to 2 decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*x + 28 = 0, -277*d - 8 = -274*d - 2*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 13*t = -45, 103*i + 5*t = 100*i - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(832) + 1 + -4 + -4 + -1)**2)*2.\nAnswer: -256*sqrt(13) + 1788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*m = -2, -37 = -5*k - 3*m - 15. Suppose -5 = o, 2*a + 4*o - 1188 = -k*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(4 + 14\/(-4)). Sort 7, z, 2.\nAnswer: z, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2256*c*k**2*l**2 - 182*c*k*l**2 - 180*c*l**2 - 3277*k**2*l**2 + 51*k*l wrt k.\nAnswer: 4512*c*l**2 - 6554*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 314*r - 290*r + r**3 + 7*r**2 - 8 + 20 + 17*r**2. Suppose -5*f = -f + 92. Let b be u(f). What is the nearest to 4 in b, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11642597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72672641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3\/3 - 8*u**2\/3 - 2*u = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -2*j - 8, -4*j + 4*z = -878 + 894 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*g - 186*g + 66*g + 157 to m + f*g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814396636.\nAnswer: 2, 47, 89, 48673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -835780601.\nAnswer: -835780600.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 3*r**2 + 0*r + 0 - 5\/12*r**4 + 0*r**3. Let h(d) = -3*d - 1 - 3 + 4 + 0. What is c(h(s))?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n**2 + n. Let f(m) = 198*m**3 + 2*m**2 - 2*m. What is -4*a(c) - 2*f(c)?\nAnswer: -400*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8*4*-3. Let b be (a + 2)*-5 + -3. Solve c - 2*l + 2 = 0, b*c = -0*l + l - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 - 181*h\/6 - 26447.\nAnswer: (h - 499)*(h + 318)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9093, 39437, 90013, 160821, 251861, 363133, 494637?\nAnswer: 646373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(2 + 9\/(-4)). Calculate the greatest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, 3, 7, 9, 9, 7?\n\"Answer: -g**2 + 9*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/9 + 142*u\/9 - 140\/9 = 0 for u.\nAnswer: 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5491*r - 49502. Calculate u(-9).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 2*c)*(1 + 4 + 0 + (-5 + 3 + 0)*(-2 + 2 + 1)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*i + 9, 0 = -0*j + 5*j + i - 35. Suppose 0 = 3*n - 3*v - 15, 0 = -n + j*v - 3*v - 3. What is the greatest common factor of n and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3200595 is divided by 101.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -7, -0.1 in decreasing order.\nAnswer: 5, 2, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 670 - 18079\/27. Calculate the common denominator of -37\/18 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (-138)\/30)*5\/(-21)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(168) - sqrt(168))\/((sqrt(3) - sqrt(3)*2)*1))\/(-6*sqrt(343) - (sqrt(7) - 6*(sqrt(14)\/sqrt(2) - sqrt(7)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -2.1 (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4) + (-6)\/24. Let n(v) = 4 + 1 - 6 + 2*v. Give n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -49. Suppose q = -4*s + 46. Find the second derivative of -s*v**3 + 8*v - 12 + 12 wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/33? (a) -3\/2 (b) -0.4 (c) 0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114 and -0.1.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 3 - 118*t**2 + 3*t**2 as s + u*t + l*t**2 and give l.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34539, 34556, 34573, 34590?\n\"Answer: 17*k + 34522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 3*h - 6*h)*(7 - 2 - 1) + 0 + 0 + 2*h - 6*h - 14*h - 3*h + (-4 + 1 + 1)*(3*h - 7*h + 2*h) - h - 3*h + 2*h in the form v + s*h and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 11006289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 432 - 343. Differentiate 48 - m*c - 24 + 25 + 63 with respect to c.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 9:39 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102)*-2)*1*6)\/((3*(sqrt(72) + sqrt(72) + 1*sqrt(72)))\/sqrt(12)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/87, -0.2, 10, -5, 0, 2216 in decreasing order.\nAnswer: 2216, 10, 0, -2\/87, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*q + 22 = -74*q. Factor -3\/5*f**4 - 36\/5*f - 27\/5 + 12\/5*f**3 + 6\/5*f**q.\nAnswer: -3*(f - 3)**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1001 and 2\/455.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**4\/66 + 2*s**3\/11 - 7*s**2\/11 - 4*s. Factor u(k).\nAnswer: 2*(k - 1)*(k + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98*m**2 + 15*m**3 - 98*m**2 + (2*m - 2 + 2)*(-3*m**2 + 1 - 1) - 3*m**3 - 2*m**3 + 6*m**3 - 2 + 2*m**3 + 2.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41791936 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1567995 divided by -7095?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252548 or 0.101?\nAnswer: -252548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24.01 in 0.2, -3\/11, 11, 5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1*2\/6). Let p be o*((-9)\/(-3) - 2). Let u(s) = -s**2 - 8*s - 14. Let x be u(-6). Are x and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 + 303*j**3*t**3 + 5*j**3*t**2 + 608*j**2*t**3 + 2*j**2*t**2 + 2*t**2 wrt j.\nAnswer: 60*j**2 + 1818*t**3 + 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -134 - -130. Which is the smallest value? (a) 2 (b) o (c) 507\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830103 is divided by 21282?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*i + 13. Let r = -569 - -582. Suppose -8*c = -r*c + i. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.054 and 0.19?\nAnswer: 0.01026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 7. Let b(y) = -22*y + 22. Let v = 0 - 4. Let d be v\/10*(-10)\/2. Suppose 89 = 4*h - 5*t, 2*h + 0*t = -d*t + 22. What is h*w(i) + 5*b(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**3 + 3*q**2 - 12*q - 1. What is the least common multiple of s(2) and 69?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239 + 259. What is the highest common factor of m and 1060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**2 + 566*y - 436. Calculate w(141).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -236.6532249 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 21022112122010?\nAnswer: -21022112122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**4\/8 + p**3\/6 - p**2\/2 + 988. Factor b(a).\nAnswer: a*(a - 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1968 + 5.1968. What is the second biggest value in r, 195, -0.01?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**5\/20 - 5*l**4\/12 + 7*l**3\/6 - 5*l**2\/2 + 4*l - 6. Let q(m) be the first derivative of f(m). Calculate q(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 3*x**2 - 5*x + 6. Let d be q(4). Solve -b - 2 = d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 23 + 0*y - 5 + y. Let s be p(-12). Suppose 33 = s*l - 129. Calculate the least common multiple of l and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 195 - 195. Suppose -f + 17 - 12 = l. Solve -20 + 2 = 5*d - 2*h, -f*d = 4*h + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h + 4. Let v(z) = 48*z + 11. Let y = -7188 - -7185. Determine y*v(k) + 8*p(k).\nAnswer: -16*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 21 + (2 - 4) + 9 - -60 - 9.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o + 17. Let y(j) = -8*j + 8 + 2*j + 2*j. Let g(k) = 3*a(k) - 7*y(k). Is g(5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 49\/60*u**5 + 0*u + 11\/3*u**3 + 0 + 1\/24*u**4 + 36*u**2. Find the second derivative of o(k) wrt k.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 4*d + 6. Is 10 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1057*i*x - 32*i + 69298*x wrt i.\nAnswer: -1057*x - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 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: Is 3231397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -3\/7, -19 in decreasing order.\nAnswer: 4, -3\/7, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cb0c (base 13) in base 12?\nAnswer: -28a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olx when three letters picked without replacement from {o: 1, u: 1, x: 2, f: 1, l: 1, v: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 21. Suppose 2 = -5*t + 4*p + h, t - 12 = -2*p. Solve 4*g - g + t = -4*q, 2*g - 1 = q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 34, 72, 122, 184?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-700)*(-896)\/(-1152)*(-6)\/1.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -62. Let d = w + 25. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -449665 + 4\nAnswer: -449661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 15*g**5\/4 - 17*g**4\/2 - 97*g**3\/4 + 37*g**2 + 37*g - 12 = 0.\nAnswer: -2, -1, 4\/15, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/130900 and -71\/3366.\nAnswer: 1178100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/3 + 6. Put -0.5, 0.2, t, 0.6 in increasing order.\nAnswer: -0.5, t, 0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 11.3 in ascending order.\nAnswer: -4, -3, 11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.069? (a) -1\/2 (b) -4\/5 (c) -0.1385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l**4\/6 + 287*l**3\/2 + 570*l**2 + 874*l\/3 + 40 = 0. Calculate l.\nAnswer: -12, -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 + 9*i**5 - 26 + (-2 + 4 + 4)*(2*i**2 - 2*i**2 - i**5).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 590, 895, 1216, 1559, 1930, 2335, 2780?\nAnswer: 3271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a factor of 2617375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -599\/5. Put -4\/3, b, -0.1, 3\/5 in ascending order.\nAnswer: -4\/3, b, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38225.96 minus -0.2?\nAnswer: -38225.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26.82? (a) 6\/7 (b) -1\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149*n**2 - 7*n**3 + 5 - 156*n**2 + 284*n**2 - 42*n wrt n?\nAnswer: -42*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3 and -109\/449850?\nAnswer: 449850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11809\/6 - 59057\/30. Let v = 2\/227 - -69\/17933. Do k and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 2\nAnswer: 69\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 22 (c) -1\/2 (d) -22 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**5 + 1575*b**4 + 130710*b**3 + 1021330*b**2 - 2441115*b + 1287495 = 0.\nAnswer: -153, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 59. Suppose 2*z**4 + p*z**4 - z**4 + 2*z**5 - 4*z**4 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 99*u - 17670.\nAnswer: 3*(u - 62)*(u + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-85)\/(-102)*-6. Let s(l) = 0*l + l**2 + 5*l - l - 5. Let i be s(-5). Solve -a*u + 4*u = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n - 11. Let t(o) = -7*o - 9. Let j(b) = -4*t(b) + 3*z(b). Determine j(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (385\/(-154))\/((-2)\/4). Solve -2*m - 10 = 4*i, -m = -7*i + 2*i + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5735 by -827.\nAnswer: 5735\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162767, -162757, -162757, -162773, -162811?\nAnswer: -162877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -5, -11, -21, -35, -53?\n\"Answer: -2*d**2 + 4*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.07 and -0.275.\nAnswer: -0.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1893043, -1?\nAnswer: 1893043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 937, 3741, 8431, 15007, 23469?\nAnswer: 33817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 5. Suppose s*k = -5, -5*w = -3*w + 5*k - 13. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 + 1336*h\/5 - 446224\/5.\nAnswer: -(h - 668)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(99) + 0 + sqrt(99))**2 - sqrt(99)) + sqrt(99) + 1)*3 + -2 + -5.\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2745*p + 242*p - 41 + 267 with respect to p.\nAnswer: -2503","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945*a - 1893*a + 969*a = -462 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82901166*r**2 + 5169740*r + 1.\nAnswer: 165802332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.29 - -2.71. Which is the nearest to 0.1? (a) y (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861303807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/477950 and -1\/238975.\nAnswer: 477950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9774, -33975, -72600, -125649, -193122, -275019, -371340?\n\"Answer: -7212*r**2 - 2565*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2066 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 30*g + 167. What is j(-36)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-765)\/(-119680)*-22*-4.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bee (base 16) to base 11.\nAnswer: -84a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.3807 times -0.007?\nAnswer: -0.3806649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjapgym. What is prob of picking 2 j and 1 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -65, -217, -60, 5 in increasing order.\nAnswer: -217, -65, -60, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 9*c + 3. Let o be p(-9). Let n be (-1)\/2*(-10 + 0). Let x = n - o. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:57 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i + 444336 = 444144 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4550 by -70.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 + -2.1. Let o = -3 + i. Let n = -28 + 29. What is the closest to n in o, 2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 2*c**2 + 0*c**2 + 1 - c**2. Suppose t = 3*t. Let d be 2\/(-2) - (t + 0). Calculate y(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 37*n**3 - 32*n**3 + 95*n**3 - 33*n**3 + 1.\nAnswer: -7*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-10))\/(((-1156)\/85)\/(-17)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2\/11 (c) 1 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoe when three letters picked without replacement from onxesxxx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (342\/36)\/(1*(-13)\/(-15 + -11)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27984 and 23232?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3511691 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -614356, -1228724, -1843092, -2457460, -3071828?\n\"Answer: -614368*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**2 - 23035*h**3 + 7*h**2 - 9*h + 23238*h**3 wrt h.\nAnswer: 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 1:24 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5885265?\nAnswer: 3, 5, 392351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.3673241 to 3 dps.\nAnswer: 5.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrbqqbrbqbqquq. Give prob of picking 1 r, 2 b, and 1 q.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2201441 = -4*g, -491*g = -494*g - 3*q + 1651086. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/176 and -18\/41.\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1491 - 1466. Determine l so that -p*l - 5\/2*l**2 - 125\/2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + (-18 - -18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/20)\/(((-2)\/7)\/(41112\/35973))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31486, -126058, -283718, -504466, -788302?\n\"Answer: -31544*o**2 + 60*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5492 divided by -501?\nAnswer: 5492\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9607.348 minus -3.91?\nAnswer: -9603.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54061870 rounded to the nearest 10000?\nAnswer: 54060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 r when three letters picked without replacement from {r: 2, v: 4, c: 1, i: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -22. Let u = -94.959 + 95. Let k = 0.441 - u. Which is the smallest value? (a) k (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -14*l**2 - 41*l + 2. Let s(k) = 5*k**2 + 14*k - 1. Let d(q) = -6*p(q) - 17*s(q). Give d(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*o + 3 = 0, 5 = 5*h + o - 13. Factor -45*i**4 + 477*i**h + 686 + 1316*i**2 - 3822*i + 8*i**5 + 686*i + 203*i**4 + 491*i**3.\nAnswer: 2*(i - 1)*(i + 7)**3*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b5 (base 12) in base 10?\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 18*u + 2 - 3*u)*(-6 - 6 - 254)*(-3 + 4 - 4) in the form k*u + c and give k.\nAnswer: 11970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5111 + -3622. Suppose n + 4*k + 862965 - v = 0, -3*n = k + 2584472. Let w = n - -1521492. Round w to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1117274 divided by -578.\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2743119177.\nAnswer: 3, 809, 1130251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 0*q**2 - 19\/5*q**5 + 0*q**3 + 31 - 34*q + 0*q**4. What is the first derivative of n(j) wrt j?\nAnswer: -76*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d*d*d*d*d**(-4\/3))\/(d*d*d**(2\/5))**20 assuming d is positive.\nAnswer: d**(-151\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 9*u**2 + 9*u + 11. Let t be l(-8). Suppose -25 - 20 = -5*a. Solve 3*q - a = 3*p, 4*p + 0 = q - t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-21)*8\/32\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + 212 + -126 + (-5 - -48) + 1 + -4.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2972*h**2 + 29730*h + 62. What is c(-10)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*o - 5*l, -o + 5*l = -1 + 16. Suppose o*b = -4*b + 28. What is the remainder when 7 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 - 8 = 0. Let t = a - -10. Suppose -3*d = -f - 81, t*f + 3*f = 4*d - 108. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2794 + -1494. What are the prime factors of v?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -32 - (-5 + 1 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-16) - 0 - (-627)\/88. Let k(a) = -18 + 4*a + y*a + 8*a - 20*a. Let s be (0 - -1)*(2 + -2). What is k(s)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(15)\/(sqrt(5) + (sqrt(5) - (2*sqrt(5) - sqrt(5))))) + -2*(sqrt(45)\/(sqrt(9) - sqrt(36)))**2.\nAnswer: -10 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-290)\/(-225))\/29)\/(120\/360)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - y**3 - 2*y)*(0*y + 0*y - 2*y) - 18 + 18 + 8*y**4 in the form o*y**3 + u + k*y**2 + l*y + c*y**4 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + h - 10. Give i(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -23.676358.\nAnswer: 23.776358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eess when four letters picked without replacement from seseeeee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 390456672 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose 0 = -2*p - 10, a*i = -2*p - 2. What is the remainder when 5 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -10*h + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 982.53 from 0.4265.\nAnswer: -982.1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126784357975205 - 1.\nAnswer: -126784357975206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (130\/25)\/((-18)\/(-45)). Suppose -o*f = -50*f + 296. What is the highest common divisor of 536 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 - 3*i**4 + i**4)*(i + 9*i + 3*i + (6*i - 2*i - 2*i)*(14 - 6 - 2)) + (2*i**2 - 3*i**2 + 2*i**2)*(0*i**3 + 3*i**3 - i**3) + 0*i**5 + 3*i**5 - i**5.\nAnswer: -71*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 784805423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.278 + -0.222. Let k = -377 + 376.845. Which is the second smallest value? (a) k (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from {m: 1, b: 1, p: 2, f: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 10. Let x be o(-3). Let w be (-5)\/(70\/(-2208))*x\/(-88). Let n = -27\/11 - w. Calculate the common denominator of n and 14\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**3\/2 + j + 4. Let z(b) be the first derivative of a(b). Let f(p) = -p**2 + p**2 + 2*p**2. What is z(f(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18939\/155, -1, 3, 1 in decreasing order.\nAnswer: 3, 1, -1, -18939\/155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 9*p - 6. Let i(u) = -6*u**2 - 18*u + 11. Let k(h) = 5*d(h) + 2*i(h). Is k(-11) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 163.1. What is the nearest to j in 3, -8, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 13 (b) -0.5 (c) -396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - 135.1943?\nAnswer: -209.1943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9529746.\nAnswer: 2, 3, 43, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0067007 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 123*k - 125*k + 7 + 4. Let g(o) = -3*o + 17. Let t(r) = -5*g(r) + 8*v(r). Let l(w) = w**3 + 6*w**2 + 4*w + 1. Let i be l(-5). What is t(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 981360 and 48?\nAnswer: 981360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*j + 4\/5*j**2 - 16\/5 - 2\/5*j**3.\nAnswer: -2*(j - 2)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a**2 - 5*a - 12. Let t(r) = -7*r**2 - 4*r - 10. Let q(i) = -6*t(i) + 5*z(i). Determine q(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1882578, 3765341, 5648104, 7530867, 9413630, 11296393?\nAnswer: 13179156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*o = 1, -4*o + 38 = 3*y - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 453652622 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*z = -18*z + 54*z + 252 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 149*f**5\/10 + 5*f**4\/12 + 4*f**3\/3 + 1819*f**2. Find the second derivative of v(c) wrt c.\nAnswer: 1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65182 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*c + 28 = -2*b, -2*b - 4*c = 12. Let n(s) be the third derivative of 1\/24*s**b + 0 + 0*s + 2*s**2 + 0*s**3. Let l(k) = 3*k**2. What is l(n(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnnmnjnnnnjn. Give prob of sequence jj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4186)\/(-260) - 16 - 524\/(-360).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5272461593 to the nearest integer?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 222961927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20769 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 39aa5a2?\nAnswer: 39aa5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(4\/(-28) - (-90)\/42). What is the fourth smallest value in 4, x, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 9, 13, 17, 21, 25?\n\"Answer: 4*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w - 6*w - w**2 - 6*w. Suppose -x + 12 = 2*x. Let j = x - 2. Let u(o) = -2*o**2 - 9*o - 1. Give j*u(r) - 5*q(r).\nAnswer: r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0.5, -3137, 1\/9, 145?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 288 = -18*c. What is the greatest common factor of 30 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200 or -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 0*u - 3 + 2. Suppose -4 = -4*p + 8. Suppose 2*z = 5*o - p, -4*z + 0*z = 4*o - 8. Give a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/4 + 10*y**3\/3 + 4*y**2 - 7*y - 2. Let d be q(-9). Solve h + 7 = -2*i, 0 = 3*h - d*i + 4 - 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 47 (b) -1030 (c) 2.5 (d) 129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-4 + 2). Suppose 11 - h = 4*z. Suppose 256 = 52*o - d, 0 = -o + d - 76 + 77. Solve -3*i + 20 = -o*u, i - z*u = 3*u + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.942648ug in kilograms?\nAnswer: 0.000000000942648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 3 (c) 0.071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q - 631188*j + 631185*j - 189 = 0, -3*q - 9 = 3*j for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 1. What is l(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4222543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = 4, -4*k + 10 = 3*c. Suppose c = 4*o - 6. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 5 + 10 + 3854*p - 378*p.\nAnswer: 3476*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-30))\/((-1)\/(-10)). Let v = 2.8 - 0. Let p = v - -1.2. What is the biggest value in g, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 48 + (-29 - -4 - -5 - -33).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**2 + 12 + 8 + 79*c**3 + c**2 - 16 + 2 wrt c?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 5060 = -110*l + 3*l for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6741, -13481, -20229, -26991, -33773, -40581?\n\"Answer: -o**3 + 2*o**2 - 6739*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 5*q**4 + 0*q)*(-5*q + 5*q + 19*q) + 2*q**5 - q**5 + q**5.\nAnswer: 97*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1133622 by -566811.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*(-1 + sqrt(17) + 5) + 3)*5)**2.\nAnswer: 900*sqrt(17) + 3725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9*h - 20 = 0. Let b(v) = -v**2 - 6 + 4 + 0 + 5*v. Let t be b(3). Solve 3*c = -3*g, 3*g - t*g + h*c + 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i. Let s(n) = -1169*n. Calculate h(s(k)).\nAnswer: 4676*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 + 2 + 1 + 1 + 0.\nAnswer: 23*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h**2\/19 - 33890*h\/19 + 5648\/19 = 0 for h.\nAnswer: 1\/6, 2824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2700380.\nAnswer: 2, 5, 135019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*j + 423 = 5*z - 192*j, -2*z + j + 157 = z - 98 for z.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 8210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -10. Sort 1, 0.4, y in increasing order.\nAnswer: y, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**2 - 267775*q = 0.\nAnswer: 0, 53555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 48 = 30. Let o(c) = 13*c - 2. What is the remainder when o(4) is divided by (q + 5)*(-16 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17744 (base 15) in base 13?\nAnswer: 28708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 281279189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 13, n: 3}. Give prob of picking 2 l.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 329 + -316. Sort 0, x, 5, -3 in descending order.\nAnswer: x, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 - 1336*v**2 + 1340*v = 0. Calculate v.\nAnswer: -335, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**7\/5040 + m**6\/720 - m**5\/12 + 8*m**2. Let h(v) be the third derivative of c(v). What is h(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + ((sqrt(18) - (-1*sqrt(90) - sqrt(90) - sqrt(90))\/sqrt(5))\/(sqrt(9) - sqrt(45)\/(-2*sqrt(5))))**2).\nAnswer: 256\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -652, -1304, -1956?\nAnswer: -2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = 36*f + 222 - 35 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -520 (base 7) to base 14\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9814.3028 rounded to the nearest ten?\nAnswer: -9810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4 - 0. Suppose -5*w + 6*w - 4*v = -13, -2*w + 5*v = 14. Let q(r) = 1 + b*r + 6*r - 7*r + w*r. What is q(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 5. Calculate s(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84613 and 866951.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 12. Let a be l(8). Suppose 4 = 3*w + 1. Is w + -2 - (-19 - a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-126) - 1\/3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*b = 9374, -n - 5*b - 2028 - 2669 = 0. Let v = n + 3057. Round v to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 15*z - 8. Let a be w(-6). What is the greatest common factor of a and 2810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 12:25 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*p**3 + 41*p - 292*p**3 - 4*p**2 - 40*p**3 + 571*p + 521*p wrt p?\nAnswer: -2316*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3747 in -8, 2\/9, -7\/24, -0.5?\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j**3 + 2*j**2 + j. What is r(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -73215 at most as big as -73213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 16, c: 2}. What is prob of sequence tct?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 3862 (c) 4 (d) 0 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -287 - -507. What is the tens digit of j\/16 + (-1)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**6\/40 + q**5\/5 - 5*q**4\/8 + q**3 + 4*q**2 - 11*q. Let h(l) be the first derivative of t(l). Factor h(f).\nAnswer: -3*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20303 rounded to the nearest one hundred?\nAnswer: -20300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsgzszggsgz. Give prob of picking 1 g, 1 f, and 2 s.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 73, 123, 215, 361, 573, 863, 1243?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20.849 * 13\nAnswer: 271.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**2 + n - 15. Let r(t) = -5*t**2 + t - 15. Let x(y) = 4*i(y) - 5*r(y). Calculate the remainder when x(0) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -1.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q - 34. Let w be p(-5). Let k be 10\/(-6) + (-36)\/w. What is the tens digit of k + 22 + 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, x: 6, g: 3, v: 1, d: 4, c: 2}. Give prob of picking 1 d, 2 x, and 1 g.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 39 = -123. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212202011 (base 3) to base 14.\nAnswer: 6447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/4 + 3*1. Suppose l + 54 = h*b, 50 = 2*b + b - 5*l. Calculate the smallest common multiple of 3 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 59 = -3*q, 0 = 3*b - 0*b - 2*q - 23. Let l = -8 - -33. Let x = l - b. What is the remainder when x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12747240 and 527472?\nAnswer: 76483440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 10}. Give prob of sequence zmz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/108 and 1\/(-9) + 4974\/(-9504)*4.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/18)\/(-5))\/((-16)\/36)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2936 + 3266 = -10*n for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128627200 rounded to the nearest 1000000?\nAnswer: 3129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 80, 30, -46?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 + 22*u - 227 - 24*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33912 and 432.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/20 and 57\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + ((-4)\/4)\/((-5)\/430)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 372 and 1023?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.95 + 4. Let i = t - -2.95. Let f = 0.3637 - -0.0363. Which is the smallest value? (a) i (b) -2\/29 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = w. Let r be -1 - 13\/(-5) - 1. Let d = -3.7 + 4.1. Which is the nearest to w? (a) d (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*q + 1. Let y(n) = n**2 - 3*n - 2. Calculate the remainder when y(q) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44761)\/14 + 2\/(-1). Let j = q + 3196. Let z = 290365\/18 - 16138. What is the common denominator of j and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3652.206 and 0.5.\nAnswer: 3652.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, 7, 4\/251 in descending order.\nAnswer: 7, 0.3, 4\/251, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 4) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = 0. Let p(o) = -o + 10. What is p(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353721?\nAnswer: 3, 157, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 2 - -16 - 35\/(-7). Solve 2 = 3*i + 2*l - 3*l, 2*i = -4*l + g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2\/(z\/((z**0*z)\/z))*(z\/(z**(1\/2)*z))**27*(z**(2\/13)*(z\/(z\/z**(-3)))\/z)\/((z\/(z**(-2)*z))\/z**(2\/13)) assuming z is positive.\nAnswer: z**(-473\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 4) + 3 - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4439.6014 plus 0.003038?\nAnswer: -4439.598362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y - 29*y + 7 = 3*h, -h + 11 = -5*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 199 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + 110111011010111110?\nAnswer: 110111011010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003833 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07441 - 0.47441. Which is the nearest to -0.1? (a) 19 (b) -2\/11 (c) 6 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1921557 - 3*u + 31*u**3 - 10*u**2 - 7*u**2 + 0*u**3 + 1921556 as h*u**3 + t*u**2 + v*u + q and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, s: 2}. What is prob of sequence ssj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k**(-1)*k)\/k))\/k**(2\/7))\/(k**(4\/5)*k**(2\/17)))**(-13\/2) assuming k is positive.\nAnswer: k**(-3081\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - y - 4*y = -131, 4*b + 5*y + 101 = 0. Let q = b - -25. Suppose 0 = -4*g + 5*z + 25, -z - 10 = -4*g + z. Put q, -5, g in decreasing order.\nAnswer: g, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2376 - 1328. What are the prime factors of j?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + q**2 - 2*q - 8. Let m(b) = -3*b**3 + 2*b + 9. Let p(x) = 4*f(x) + 3*m(x). What is the units digit of p(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/5, 1\/2, 144, 1.\nAnswer: -14\/5, 1\/2, 1, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 - -180. Let c = -13 + 0. Let u = c + i. Are -8 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - 2*y. Suppose 3*l - 23 = -3*w - 17, -2*w - 4*l + 14 = 0. Let h(i) = i**3 + i. Suppose 0 = -m, 2*m + 25 = -9*x + 4*x. Give w*n(j) + x*h(j).\nAnswer: 4*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, -5 in increasing order.\nAnswer: -12, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.92 + 0.1490299698503?\nAnswer: -2.7709700301497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -322 divided by -4689\nAnswer: 322\/4689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 11*l - 135. Let q = -464 - -477. Let g be z(q). Solve -g = -2*s - 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130889 is divided by 171?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-5) + (-12)\/30. Suppose -x*a + 2*r = -6, -5*a = -4*a - 2*r - 3. Suppose a*c = 12 + 12. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211337 is divided by 461.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 641 + 315. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-811.\nAnswer: -4055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6589.\nAnswer: 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c - 5*a - 16, -7 = -c + 2*a. Sort c, 2, -5, -3 in descending order.\nAnswer: c, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, g: 1, k: 5, i: 3, p: 3}. What is prob of sequence pk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/17430 and -31\/5509623.\nAnswer: 55096230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -5*q - 92. Let m = q + 38. Solve 2*a + 2*a - 5*k = -m, -41 = -4*a - 5*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/287 (b) 159.3 (c) -2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c**(-2)\/c))))**(-1\/21)\/(((c\/(c\/(c\/(c*c\/c**7))))\/c*c)\/(c\/((c**(-3\/10)*c)\/c))) assuming c is positive.\nAnswer: c**(-1027\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39093 or 39108?\nAnswer: 39093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*z. Suppose 5*k + 247 = 3*p, 2*p - 2*k - 158 = -z*k. Let t = p - -13. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**3 - 98*n**2 + 9*n + 174. Give u(-10).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 - 2075*c**3*h - 1658*c**2*h + 355558*c - 112*h wrt c?\nAnswer: -40*c**3 - 12450*c*h - 3316*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 8*z**2 + 8*z - 5. Give w(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/52*(-26)\/(-36)*3.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673.\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1146 - -2293\/2. Let -1 + 5*l**2 + 2*l**3 - 4*l**4 + s*l - 5\/2*l**5 = 0. Calculate l.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 13. Let v be y(-11). Suppose 17 = 5*o - k, -3*k = v*o + 3*o - 29. Let u be 22\/8 + 3\/12. Which is the closest to 1\/4? (a) u (b) o (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 1\/4 (b) 1\/6 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -90397021750 and -3.96?\nAnswer: 90397021746.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 25, -3*l + 7*z - 112 = 3*z. What is the common denominator of l\/24*15\/6 and 4 + (0 + (-45)\/(-24))*-6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*n = 3*k + 591*n - 147, 234 = 5*k + 3*n for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17900)\/((145\/1500)\/29). Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -1683, -3647, -6357, -9813, -14015, -18963?\nAnswer: -24657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -36*i**2 + 1124*i - 254. Calculate t(31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 25 = -16*h, 3*y - 5*h = 34 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7810 + -7736.848. Let d = r + -0.152. Let f = 72.9957 - d. What is f rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 20 + 0 = 5*h, -4*g + 20 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, -27, -21, -15?\n\"Answer: 6*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/(-60))\/(-26) - (-9)\/(-945)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 0, -p - 5*f = -4 - 1. Suppose -3 + 23 = p*g. Suppose 2*r - y - 2 - 3 = 0, r - y = 5. Solve r*z = -z + o, g*z + 4*o = -40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 23*a + 3. Let m be x(13). Suppose 2*p + 3*f = 83, 5*p + 111 - m = -2*f. Suppose 2*o + p = d, -6*d + d + 4*o = -167. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + -149. Let u = x + 339\/2. Let l = -2\/95 + 208\/855. Sort l, 3\/4, 5, u.\nAnswer: l, 3\/4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*h = -126*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 18 (b) -0.21 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -862194 or -862193?\nAnswer: -862194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/(5 + -10 - -6). Solve t = 16*y - 17*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63566 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 13936.\nAnswer: 55744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**4\/24 + 3*k**3\/2 - 2*k**2. Let j be i(-9). What is the highest common divisor of j and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -10\/17, -7, -365\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6995 - -6992. Sort l, 1, -89, 3 in decreasing order.\nAnswer: 3, 1, l, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2954170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/4 + 17*b**4\/4 + 183*b**3\/4 + 415*b**2\/4 + 125*b\/2 = 0.\nAnswer: -5, -2, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29567.15 centuries in millennia?\nAnswer: 2956.715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -46*i + 30. What is the common denominator of 61\/60 and ((-350)\/96 - i) + (-32)\/(-8)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 3554900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -5*v + 5, 4*v - 12 = k - 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2448578 and 78564?\nAnswer: 14691468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 14*m + m + (1 - 4 + 1)*(2*m - 5*m + 2*m) + (0 - 1 + 0)*(2*m - m + 0*m).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - y = -2*y - 3, 5*o + 2*y + 6 = 0. Which is the biggest value? (a) -2\/9 (b) -4 (c) -7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z + 1511 + 30*z**2 - 1517 - 29*z**2. Let o(u) be the second derivative of 5*u**4\/12 + 25*u**3\/6 - 25*u**2\/2 + u. Give -25*g(w) + 6*o(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(14) + 4*sqrt(14)) + sqrt(14))\/(sqrt(2) + sqrt(12)\/sqrt(6)*-3).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1. Let d(y) = -3*y - 5. Suppose -26*g = -34*g + 48. Give g*v(w) + d(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-100092)\/44*(-1)\/3. Let h = y - 761. Calculate the common denominator of (-1 - -3)\/(24\/(-26)) and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2193*t**2 - 2194*t**2 + 7*t**4 + 4*t**3 + 31*t**4 + t**4 - 41*t + 266*t**4 wrt t.\nAnswer: 3660*t**2 + 24*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.0084 times -0.7\nAnswer: -11.20588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-132)\/70)\/(8\/(-20)). Is d at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -153*o + 20185. Let l be m(105). What is the greatest common factor of 80 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*j = 100, -2*j = 4*m - j + 214. Let g = -52 - m. Suppose 0 = 4*y - 5*l + 7, -l + 6*l - 9 = 3*y. Solve 0 = -g*d - y*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7066*t**3 - 14145*t**3 + 7077*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127114 is divided by 345.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 + -187.9999769. What is z rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffffrff?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from noonnnngnongnononnn. What is prob of picking 3 n and 1 g?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -5 (c) -500 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/4)\/((-30)\/(-80)). Let a be 3 + 3\/(o\/40). Let c = a - -25\/6. Which is smaller: -0.2 or c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**2*t + 6*f**2 + 175548*f - 103346435*t - 2 wrt f.\nAnswer: -4*f*t + 12*f + 175548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/478 and -25\/75524.\nAnswer: 75524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 4*n + 7. Let d be w(21). Let x be d\/(2\/(-4)*4). What is the highest common divisor of 35 and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -510860542 or -510860541?\nAnswer: -510860541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*b**2 - 21*b**2 + 63*b**2 - 343*b**2.\nAnswer: -469*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7965*k**2 - 7957*k**2 + 9*k + k**3 + 4 + 1. Let s = -19 + 12. Calculate d(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**4\/4 + 6*o**3 + 17*o**2\/2 + 25*o - 96. Is 36 a factor of d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294074489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = d + 3, -5*m + 0 - 7 = -d. Let w(g) = -63*g + 1. Let o be w(m). Suppose 0 = -5*r + r + o. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7\/3)*r**(3\/5))**(4\/19) assuming r is positive.\nAnswer: r**(-104\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4\/7 - 208*r**3\/7 - 70612*r**2\/7 + 575152*r\/7 - 72048 = 0. What is r?\nAnswer: -114, 1, 7, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-9)\/(-126)*14\/(-45).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1. Let o = 142 + -141. Let n(l) = 5*l**3 + 3. Calculate o*n(w) + 5*q(w).\nAnswer: 5*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17660000 rounded to the nearest 100000?\nAnswer: -17700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + 9. Let y be (12\/(-8))\/((-2)\/x). Let v = y - 21. What is the remainder when 163 is divided by v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128255?\nAnswer: 3, 5, 75217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 644189 + -18527519831\/28761. Let a = -987469\/115044 - d. Find the common denominator of a and 45\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -7)*(-8)\/24. Suppose 0*a - k*a = -188. Calculate the remainder when a is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c = -48*c + 4*u - 1, -c + 2*u + 1 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9310 and 0.3.\nAnswer: -2793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2. Let t(q) = -61*q + 333*q + 23*q + 258*q + 96*q. Determine t(n(y)).\nAnswer: 1947*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1001110000010101110 (base 2) to base 3\nAnswer: 121020111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**4\/15 + 13018*c**3\/15 - 21177026*c**2\/15 - 1414406*c + 2825340 = 0.\nAnswer: -2, 1, 3255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**9\/15120 - x**7\/420 - x**6\/90 + x**5\/20 - 7*x**2. Let u(t) be the third derivative of s(t). Suppose u(m) = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - 2 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -2*k**3\/3 + 23*k. Let h(i) = -4*i**2. Give t(h(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13156 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6199 - 2383. Suppose p - h = -17*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29997, -60056, -90115?\n\"Answer: -30059*x + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 - (-8 - (-16 - -2) - (169 - 152)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38661535, 38661534, 38661535, 38661538, 38661543, 38661550?\nAnswer: 38661559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 7) in base 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 2*x**4)*(2*x + 2 - 2) - x**5 + 0*x**5 + 2*x**2 + 0*x**5.\nAnswer: -5*x**5 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 - 3.5. Let r = b - -3.1. Let j = -15.6 - -11.6. What is the nearest to r in -2\/11, 3, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 58 = -42 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j. Let p(s) = -3*s**2 - 5. Let k(u) = -u**2 - 1. Let i(c) = 5*k(c) - p(c). What is t(i(a))?\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + 47\/3. Let w be 19512\/(-11) - p\/88. Is (-1)\/((2 - 0)\/w) 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 -42911621, -42911613, -42911601, -42911585, -42911565, -42911541, -42911513?\n\"Answer: 2*g**2 + 2*g - 42911625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + 11 - (-28680)\/(-1710)) + (-2)\/(-19) and (156\/(-21))\/((-99)\/(-21)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 6*f**2 - 7*f - 10. Let z(i) = -i**3 + 5*i**2 + 6*i - 5. Let h be z(6). Let k be g(h). Solve k*j + j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*t + 3*t**3 - 33*t - 113*t.\nAnswer: 3*t**3 - 202*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*u - 1 = 0, 5*u = 32*a - 29*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 + 14*d + 1. Let p(j) = j**2 - 17*j + 68. Let o be p(11). Let c be z(o). Sort c, 3, -5 in descending order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/(-80))\/(4\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/(-12 - (-427)\/35).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u - 33. Let h be (-32)\/20*5\/2. Let f be j(h). Is ((-3)\/f - 0) + 28868\/70 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126708 and 506832.\nAnswer: 506832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-6\/13))**(-33)\/(m\/m**(-7))**14 assuming m is positive.\nAnswer: m**(-1687\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03775 to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from yaaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 6*p - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -8. Let w = 2 - 2. Suppose h = -2*g, w = h + 3*g - 2*g. Solve -5*d + t*y + 21 = h, 3*d - y = 6*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 6. Let l(h) = 2*h**3 + 16*h**2 - 6*h - 16. Let c be l(-8). Calculate the highest common divisor of c and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 115, 171, 227, 283, 339?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2382197 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/120 - w**5\/5 + w**4\/12 + w**3\/3 + 340*w**2. Give n(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*f - 241*f - 3*q - 1763 = 0, 0 = -5*f - q - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 36*a + 263. Give d(-23).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 9*p**4 - 9*p**4 + (-34*p**4 + 8*p**4 + 5*p**4)*(-1 + 1 + 3*p).\nAnswer: -65*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41316 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 23*z**2 - 8*z**2 - 11*z**2 + z + 2*z**3 + 2. Let x(t) = 1 - 4 - 2*t**2 - 2*t - 2*t**3 - 3*t**2. Calculate 3*o(s) + 2*x(s).\nAnswer: 2*s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = n - 5*c, 3*c + 76 - 111 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/41 in 15, -1\/8, 0.2, 189\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5fb425 (base 16) to base 10\nAnswer: 6272037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64552440 is divided by 5701.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-28) - (-2)\/(-1). What is the third biggest value in -4, -2\/7, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 708\/18*3*1. Let b = z - 82. Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**2. Suppose 638*t - 635*t - 990 = 0. Let q(o) = 658 - 328 - t + 6*o. Determine f(q(u)).\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 - 19 - 18 - 119*v)*(-406 + 406 - 20*v**2) to s*v**3 + z*v**2 + o*v + u and give s.\nAnswer: 2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w + 92 - 13*w**2 - 101 - 71 wrt w.\nAnswer: -26*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -85 and -82 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-2408))\/(135\/(-104022)). Let m = -6\/301 + h. Find the common denominator of 44\/3 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*f = 402 + 229, z = -4*f + 113. Suppose -3*o - z = -131. Factor 2\/7 - 4\/7*h**o + h.\nAnswer: -(h - 2)*(4*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/8 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 49\nAnswer: 27\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1080)\/108 + 225\/230 + 9.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-30))\/1)\/(7\/63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 9*s**2 - 10*s - 31. Let m be -1*-21*(-1)\/(-3). Let g be n(m). Which is the nearest to -3? (a) 0.5 (b) 2 (c) g (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 + 294 = 149*n - 497. Factor -4\/7*j**n + 4\/7*j**3 + 0*j - 4\/7*j**5 + 0 + 4\/7*j**2.\nAnswer: -4*j**2*(j - 1)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 = -3*q, 4*q - 3 - 17 = -2*a. Let z be 10\/(q - 1 - 0). Suppose -z*y + 144 = 19. Solve -4*s = s + y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2. Let c(n) = 23590*n + 199 - 47190*n + 23598*n. Calculate x(c(d)).\nAnswer: 20*d**2 - 3980*d + 198005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*q**2 + 11325518*f*x**3 + 93*q**2*x**3 - 258774*x**3 wrt f.\nAnswer: 2*q**2 + 11325518*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 = 0, -5*v - h - 126 + 105 = 0. Which is the closest to 0? (a) 4\/3 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6254 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 35.99999969. What is w rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -874*k**3*v**2 - 284609*k**3*v + 9*k**2*v**2 + 4*k*v**2 wrt v?\nAnswer: -1748*k**3 + 18*k**2 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 14*g - 3. Let o be i(12). Let v be 44\/3 + 22\/(-33). Calculate the highest common divisor of v and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204548 is divided by 360?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -242)*(-19)\/(-38). Put -5, -5\/2, t, 3\/7 in ascending order.\nAnswer: -5, -5\/2, 3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 12:02 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0001624mg?\nAnswer: 0.0000000001624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*d - 85*d - 2*d**2 + 3*d**2 + d**2 + 3*d**2.\nAnswer: 5*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 15 - 12) + 12 + -15\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8202375887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 149*s - 1028. What is the remainder when 15583 is divided by b(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20052 and 1945044?\nAnswer: 1945044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -9)*8\/(-24). Let a = i - -16. Suppose 100 + 11 = 3*g. Calculate the remainder when g is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7300425?\nAnswer: 3, 5, 11, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -50\/7 (c) -6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x - 3962 + 15038 = 0. What is the remainder when x is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -28893*j**2. Let m(s) = -2*s**2. Calculate m(c(l)).\nAnswer: -1669610898*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -8, -2\/13, 0, -6.\nAnswer: -8, -6, -2\/13, 0, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79.3 and -14824669309.\nAnswer: -14824669229.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1016.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/31*(-438)\/((-11668320)\/(-11160)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/(-1)*84*(-12)\/(-216).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**3 - 2*s**2 - 4*s - 5. What is the remainder when 2106 is divided by k(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6303 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 7*t + 11. Determine i(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 341405961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/8 - 33523*x**3\/8 - 100563*x**2\/8 - 100561*x\/8 - 4190.\nAnswer: -(x + 1)**3*(x + 33520)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -323.08 + 323. Sort -3, 0, 4, b in decreasing order.\nAnswer: 4, 0, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007957 to five dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/10818)\/(-5)*4\/(-3). Let y = -340783\/43272 + u. What is the common denominator of (-1551)\/210 + 4\/(-10) and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z. Suppose 2*n - 4*v = 22, 6*n - n - 23 = 2*v. Let x(m) = m - 4. Let a(d) = -d + 3. Let k(y) = n*x(y) + 4*a(y). Give k(q(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48968.89 litres to millilitres.\nAnswer: 48968890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/2 + 1)*938\/(-201). Solve 0 = 3*r - h - 16, -5*r - 7 = -u*r - 3*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 24*b - 31 - b - 72*b.\nAnswer: -97*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 4. Suppose -14 = 2*p + 2*s, -20 = -2*s + 7*s. Calculate z(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 7146*d**3 + 2 + 4495*d**3 - 5*d)*(-1 + 5 - 1) to the form i*d**2 + z*d + k + j*d**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 19 + 2. Let d = -0.43 - -2.43. What is the second biggest value in p, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35091*s**6 - 13315*s**2 wrt s.\nAnswer: 4210920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2. Let c(a) = -2*a + 3. Let t(d) = 2*c(d) - 5*x(d). Determine t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 151500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 19. Let f be ((-1)\/3)\/((-2)\/(-6)) + -6. Let y be c(f). Is 3 + y\/(-9) + (-9946)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110900 is divided by 990?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((660\/(-70))\/(-11))\/(-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142639 and 10437?\nAnswer: 427917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/5 - 14\/(-1). Let g = 31 - s. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*k - 12 = 0, -4*h + 5*k + 1 - 21 = 0. Suppose 5*x + 4 = -2*r - 4, 3*x + 9 = 3*r. Let b = -98 + 95. Sort x, h, b in ascending order.\nAnswer: b, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 564 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10803, -11185, -11567, -11949, -12331, -12713?\nAnswer: -13095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f. Let y(o) = -110065*o**2. Calculate y(v(u)).\nAnswer: -2751625*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + sqrt(76)\/sqrt(4))**2 + sqrt(38)\/(sqrt(12)\/sqrt(6)).\nAnswer: 30 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3628911 and 251680?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = 0, 3*o = -4*f - 0*o - 114. Let j = f - -13. What is the common denominator of -17\/7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*h + 57*h + 20 = 0. Suppose h*a + 8800020 = 5*c, -11*a + 10*a = 3*c - 5279995. What is c rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 3*y**2 + y + 18. Let x be c(-4). Calculate the least common multiple of 5 + 2*6\/(x - 1) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -133038221.\nAnswer: -1\/133038221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 501 = 39*w - 298 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**6\/600 - 3*a**5\/20 - 45*a**4\/8 - 225*a**3\/2 - 20*a**2 - 20*a - 1. Let v(z) be the first derivative of r(z). Factor v(b).\nAnswer: -(b + 15)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93 and 155.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6694 + 7327. List the prime factors of g.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(5 + -5 + sqrt(891) + (sqrt(891) + sqrt(891) + -2 - sqrt(891))))**2 + -1.\nAnswer: -648*sqrt(11) + 32110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, r: 7}. What is prob of picking 2 r?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001 (base 2) to base 8.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39215 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50810800 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*l + 16*l - 27*l + 46*l + 513 - 19*l to u + f*l and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from coookpocboookpocbdco?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 775947874?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a2 + 1d?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 divided by 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -38\/381 (b) -3\/8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/9 - 2\/(-6). What is the third derivative of -16*c**2 - 8*c**l - c**5 - 4*c**5 + 45*c**2 wrt c?\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, q: 3, k: 2, b: 2}. Give prob of sequence bbqk.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 2 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvldlblddbpoovod. Give prob of sequence ld.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5487 or -5490?\nAnswer: -5490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*s - 9, -4*i + 9 = -i + 3*s. Let k(z) = 86*z - 5 - i + 37*z - 32*z. Is k(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 124 = x, -3*x + 5*s + 402 - 74 = 0. What is the greatest common divisor of x and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**2 + 36*x - 316. Let i be g(8). Which is the third smallest value? (a) -3 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 95 (c) -0.252 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -4, 244?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13*m**2 - 9*m + 19. Let t(l) = -15*l**2 + 8*l - 20. Let g(v) = -7*c(v) - 6*t(v). Determine g(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.04, 0.1, -2, -4, -10\/11, -1, -59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*s, -5*s + 6 - 30 = -d. Sort 0, 4, d in increasing order.\nAnswer: d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 5862*q**3 + 2*q + 53*q**2 - 11750*q**3 + 5874*q**3 + 1 - 2 to a*q**3 + z*q**2 + r*q + b and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6707727*g. Let l(p) = -4*p. Give a(l(r)).\nAnswer: 26830908*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -8289?\nAnswer: 8291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47754, 191026, 429810, 764106, 1193914, 1719234?\nAnswer: 2340066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.995, 36.8, -6, 1 in increasing order.\nAnswer: -6, 1, 11.995, 36.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*b = 68, 1571*b + 17 = -u + 1568*b for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42030 (base 6) to base 11\nAnswer: -4262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -3*u + 2*h - 54, -4*h - 42 = -2*u. Let a be ((-72)\/u)\/(-12) + 36\/(-65). What is the nearest to 2 in 0.8, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilillllllllillllllli. What is prob of picking 4 l?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2567*2.\nAnswer: 5134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {h: 5, k: 5, g: 1, u: 1}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 3*a**2 - 3*a - 10. Let c be b(5). Let h = 27 - c. Suppose -6*q - 22400 = -h*q. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, u: 2, p: 5, q: 7}. Give prob of picking 1 q and 1 f.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15624)\/(-20) + 2*(-13)\/130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/25)\/((9\/6)\/(-1)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*(d\/d**(2\/7))\/d)\/d)\/d)\/d)**(2\/9)\/(d**(-3\/8)\/d**(-4\/5))*(d**5*d**(2\/15)\/d)\/(((d**(-2)\/d)\/d)\/d*d*d**4\/d*d) assuming d is positive.\nAnswer: d**(575\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 4*r + 7. Let g(f) = -5*f**2 + 4*f - 8. Let i(t) = -3*g(t) - 4*z(t). Let v be i(4). What is the units digit of (-4)\/(1*v\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/24 and -121\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 22*c - 68513. Let l(j) = -j + 3138. Let h(g) = -131*l(g) - 6*p(g). Let m(x) = 8*x - 13*x - 8*x. What is m(h(o))?\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zff when three letters picked without replacement from {t: 1, n: 1, f: 2, z: 1, c: 1, u: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-21)*u**(10\/11) assuming u is positive.\nAnswer: u**(-221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (9 - -2) + (10 - 24) + (21 - -3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/59880 and 13\/21956.\nAnswer: 658680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 414\/552*12\/9. Is a at most -1\/6541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1388727.03 to the nearest 10000.\nAnswer: 1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -1578c8?\nAnswer: 1578c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551885853.\nAnswer: 7, 221697979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 8:18 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from memeecmexxexcigcmme?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/8 (b) 5 (c) -0.1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -140 - 150*q + 140 + 20*q as b*q + v and give b.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-555)\/(-6)*18 + 35\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 2*h**5\/5 - 287*h**4\/4 - 1004*h + 1388. Differentiate n(i) with respect to i.\nAnswer: 8*i**3 - 861*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297178763.\nAnswer: 7, 61, 307, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s**2 + 5*s - 181. Is u(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -25, -3.\nAnswer: -25, -9, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180399*-0.8.\nAnswer: 144319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 2 + 3*h**2 + 0*h**2 - h**2 + (-406 + 406 - 16*h)*(6*h + 4*h - 6*h).\nAnswer: -62*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2 + 86*w**2 + 67*w**3 - 78*w - 8*w**3 - 56 + 2*w**4 + 2*w**4 - 17*w**3 = 0.\nAnswer: -7, -4, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55382 = -3482*j + 104008 + 98646 + 104092 for j.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*((-6)\/18)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, 14, 105 in descending order.\nAnswer: 105, 14, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 17, -30, -77, -124, -171?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13833*0.3.\nAnswer: -4149.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -509 - -568. Which is the nearest to k? (a) 2 (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1786842756?\nAnswer: 2, 3, 127, 283, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 107 times -0.0871214\nAnswer: -9.3219898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c*c\/c**(-1))**(-2\/41) assuming c is positive.\nAnswer: c**(2\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 131*y**8\/336 - y**7\/105 + y**6\/120 + 7751*y**5\/60 + 8291*y**2. Find the third derivative of k(i) wrt i.\nAnswer: 7860*i**2 - 48*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299 - 25*u + 586 - 291.\nAnswer: -25*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 6*t. Let i(z) be the first derivative of z**2\/2 + z - 4872. Give i(g(a)).\nAnswer: -2*a**2 - 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 34 - 12*l + 13 - 47. Let y(c) = 18*c. Determine v(y(m)).\nAnswer: -216*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 14 + 1 = 0. Let n(r) = 7*r**2 - 3*r - 2. Does 12 divide n(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -44.8. Let i = -0.84 + -64.16. Let v = i + 65.2. Which is bigger: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**32))*u)**(30\/13)*u*u**(-3\/19)*u**(-6\/13)*u*u*u assuming u is positive.\nAnswer: u**(-16265\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 - 3. Let m = -425\/6 - -71. Which is the smallest value? (a) m (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 4680*u**2 + 124089*u - 128772.\nAnswer: 3*(u - 1)*(u + 28)*(u + 1533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = 53*d. Suppose d = a + 3*h + 13, -4*h + 2 = -4*a - 6*h. Factor 4\/3*u + 4\/3*u**a + 0.\nAnswer: 4*u*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75821.01 tonnes to kilograms.\nAnswer: 75821010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35 - 21 - -2 - 16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(95)\/(-1*sqrt(5)) - (sqrt(19) + (sqrt(133)*-1)\/sqrt(7) + 2).\nAnswer: -2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172530582 divided by -6?\nAnswer: -28755097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 372520 to the power of 1\/2, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-158)\/(-711))\/((-2)\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1261302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r + 9*r + 890. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/7 + 2)\/((-290)\/1218*(-12)\/(-20))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 571 - 75. Suppose 3*h = 3*v + 924, 5*h = -v + 1026 + x. List the prime factors of h.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2 + 28772*z + 28770 = 0.\nAnswer: -14385, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 9*u + 2. What is the lowest common multiple of 22 and x(6)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16610 and 92110.\nAnswer: 1013210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -224*k + 8721. What is d(54)?\nAnswer: -3375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 168\/60 - 10\/(-250)*5. Which is greater: -0.273 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2, 5, 1, -4 in decreasing order.\nAnswer: 5, 1, 2\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -431737\/24, 2.\nAnswer: -431737\/24, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - 2*u - 25*u**2 - 2*u**4 + 188 + 3*u - 2*u - 186 in the form m*u**4 + d*u**2 + j*u + n + v*u**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -20 (b) -2 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*p = -94*p - 1460. Suppose -3*o = -v - 6, -2*o + o = -4. Solve 0 = -8*c + p*c + v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**6 - 147*l**4 - 692*l**2.\nAnswer: 360*l**3 - 3528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.067.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y. Suppose 8 = 7*c - 5*c. Let u(x) = -2 + 7*x + c - 2. What is h(u(r))?\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - l - 4)*(120 + 311 - 65)*(-2 - 1 - 3)*(2 + l - 2).\nAnswer: 2196*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*o - 8181 = 52575 for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -6434210?\nAnswer: 6434212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - b + (5 - 2 + 0)*(2*b + 0*b - b) + 6*b + 0*b + 0*b in the form n*b + l and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + ((-4)\/(-6) - 105\/(-45)). Find the second derivative of -h*m**5 + 28*m**5 + 17*m**5 + 9*m + 0 + 3 wrt m.\nAnswer: 820*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11) + (sqrt(88)*1)\/sqrt(8) + sqrt(11)) - (sqrt(28) + 0 + -4*sqrt(21)\/sqrt(3)).\nAnswer: 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ummuh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2498 + 2512. Suppose 13 - 34 = 3*z. Let h be (-110)\/1*z\/c. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38810004 divided by -2\nAnswer: -19405002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1499 - -6215. What is the greatest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x - 60. Let v be j(8). Put v, -2, -5, 0 in increasing order.\nAnswer: -5, -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 188*d**2 + 190*d + 192. Give q(-95).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13300465, -26600933, -39901401, -53201869, -66502337?\n\"Answer: -13300468*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/36*-3)\/((-1)\/1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m + 4. Let w(l) = l - 1. Let a(f) = -2*j(f) - 9*w(f). Give a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58560 = 456*w + 393*w - 27*w + 398*w for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57777357*f**5*v**3 - 2*f**2*v**3 - 407440285*f*v**3 wrt f.\nAnswer: 1155547140*f**3*v**3 - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -525 + 2270. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 605, 789, 973?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.9433l to millilitres.\nAnswer: 50943.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o**4\/7 + 348916*o**3\/7 + 380724*o**2\/7 - 285476*o\/7 - 45320 = 0 for o.\nAnswer: -1, 10\/11, 7931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) 3\/4 (c) -36 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17829 and 5.7.\nAnswer: 101625.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34510 and 5390?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2. Let s(p) = 30*p + 124. Let z(d) = -12*a(d) - s(d). Let v be z(-8). What is the greatest common divisor of 253 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1496 and 34612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g - 26*g + 113*g**3 - 18*g**3 + 12*g.\nAnswer: 95*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-2)\/(-4) - 2). Let n = 4 + a. Is 4 a factor of 1 + (20 - -2)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 9*q + 5. What is o(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33da (base 15) to base 6.\nAnswer: 122541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 472*u\/5 - 27848\/5.\nAnswer: -2*(u + 118)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378468126 and 5427.\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*g = 592*g - 5*s - 15, -g - 15 = 2*s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose -3*a + c*o = -o + 11, 0 = a - 4*o - 8. Let u = 12 + a. Sort 6, u, 4 in descending order.\nAnswer: 6, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113921994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2 + sqrt(1539) + -4)*-4)**2.\nAnswer: -576*sqrt(19) + 24688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t - 41. Let j be c(5). Let y be 0\/(1*3*j\/(-18)). Is y < -3.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*1 - -1*sqrt(1815))\/((sqrt(550)\/sqrt(11))\/sqrt(10)*-4)*-1.\nAnswer: 23*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 27*p**2 + 325*p - 4. What is f(-12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 0*t**4 + t**5 - 2 - 3*t**4 + (-3 + 2*t + 3)*(t**4 + 0*t**4 - 5*t**4).\nAnswer: -7*t**5 - 3*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 10. What is the second derivative of -58*b**2 + 175*b**k - 106*b + 26*b + 114*b**2 - 56*b**2 wrt b?\nAnswer: 3500*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q + 96. Let w be r(0). Calculate the greatest common factor of 128 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-225)*10*10\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2853 * -0.0356\nAnswer: -101.5668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/1*(2 - -1). Let v be (6\/f)\/(2\/(-9)). Let m(r) = 5*r + 3. What is the remainder when m(v) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7080*p**2 + 42*p - 126. Let j be o(3). Round j to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Let j = -20 - -18. Which is greater: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**17\/(f**2*f) assuming f is positive.\nAnswer: f**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-45))\/((-1)\/6). Let w = 11317.6 - 11317.7. Which is the second biggest value? (a) x (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.687 rounded to two decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 44000776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - -4. Calculate the smallest common multiple of b and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 46\/5267941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14715 - -53715. Round p to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.19 (b) -12\/5 (c) 18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 a when three letters picked without replacement from {a: 1, v: 1, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332529192?\nAnswer: 2, 3, 59, 97, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 944*(-8 + 136\/16).\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 408 in descending order.\nAnswer: 408, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 - 1599*v**2\/2 - 9567*v\/2 - 14337\/2.\nAnswer: -(v + 3)**2*(v + 1593)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnqmfny. Give prob of sequence mqnn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 44. Let j be t(0). Let i = j + 46. What is the third derivative of -12*z**3 - 11*z**3 + 99*z**i - 92*z**2 wrt z?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - 80.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-18))\/((-1)\/4). Suppose -2 = 2*w, 6*m = 2*m - k*w - 2. Suppose m = -g + 2. Solve 4*j - 6 = -g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29443 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.4 + 18.351. What is the closest to c in -0.2, -1\/7, -5, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + c + 152, 57 + 42 = 3*u + 2*c. Let i be 128\/5 + 2\/5. Suppose l - g + i = 3*l, 5*g = -l + u. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002163 to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3080893?\nAnswer: 17, 127, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + (sqrt(33) - sqrt(264)\/sqrt(128)))\/(1*sqrt(11)*2))**2.\nAnswer: 147\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 340*s**2 - 681*s. What is m(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 175*a**2 + 230*a - 2511. Determine m(-86).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/2 - 48099*b\/2 - 1276028 = 0. What is b?\nAnswer: -53, 48152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.76 - -1.97. What is u rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**4\/6 + a**3\/2 - 88*a**2. Let k(f) = -68*f + 52. Give 104*i(q) - 6*k(q).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*j - 22*j + x + 22, 2*j - 5*x = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 - 0.2. Round v to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/4 - c**4\/4 - 3*c**3\/4 + c**2\/4 + c\/2.\nAnswer: c*(c - 2)*(c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2012*l = 2009*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27451\/8 - 3419. Let f = 545179\/216 + -103\/216. Let v = f - 2477. What is the common denominator of n and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17072 + 10816 + 423 = -3394*t + 1159 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 4 (c) -1 (d) -17.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808738.\nAnswer: 2, 904369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - ((-40 - -2) + (-61 - -54) + -3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g + 5*g + 7*g as o*g + d and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s. Let a be (-2)\/(-26 + -3 + 34). What is the closest to -125 in -5, a, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3\/5 + 534*o**2\/5 + 18573*o\/5 - 3822 = 0 for o.\nAnswer: -130, -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (846\/(-235))\/(2\/(-10)). Determine u, given that -7 - z*u**2 - 29*u**3 - 2*u - 18*u + 22*u**3 - u**4 - 1 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4789642 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243 + -148. Calculate the remainder when s is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**2 - 153*d + 131. Let r(o) = o**2 - 15*o + 13. Let p(t) = 21*r(t) - 2*z(t). What is p(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-6) + (-6)\/9. Suppose 0 = -2*a + 3 + r. Suppose -c + 5*c + 3*g - 50 = 0, -44 = -a*c + g. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 15673 + 31127. Round r to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 16 - 2*t**2 + 2*t**2 - 19*t + 23*t. What is the tens digit of z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19100805*v**3 - 19358*v**2 - 50*v?\nAnswer: -114604830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-170*-24*31\/(-3720))\/((-4)\/10)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-15)\/6)*-6. Calculate the highest common factor of v and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h - 13 = 0. Calculate the remainder when h is divided by 50\/13 + (-2)\/(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-14)*(10 - (-287)\/(-14))\/3. Solve 2*d - 5*n = d - 4, s*n = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 10:21 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5832527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.727952 rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95549 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420482, -840957, -1261430, -1681901, -2102370, -2522837?\nAnswer: -2943302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -2, -14, -11 in increasing order.\nAnswer: -39, -14, -11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*b - 4*b - 3, 2*b = 0. Suppose 84 = p*h - 48. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20803978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345653, -691253, -1036853, -1382453, -1728053, -2073653?\nAnswer: -2419253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -607 from -0.9624.\nAnswer: 606.0376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*x + 8 = 0, 0 = 3*k - 37*x + 42*x + 10. Solve k*b + 3*q + 13 = -4*b, 3*q = -2*b - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6270.708 millilitres?\nAnswer: 6.270708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 145. Let f = j + 102. Are f and -0.7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-9606))\/(2 + (-3 - 0)). Is w at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 33. Let t be 140\/x - 3\/(-6). Solve s - t = -4*m, -6 = -4*m + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*z - 2, 403 = 4*r + 4*z + 411 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, r: 3}. Give prob of sequence vvvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -67?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (613\/4904)\/((-2)\/(-416)*2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-3)*(-88)\/(-22). Let y(a) = a**2 - 3*a - 2. What is y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/5, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 926670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 147773752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83012, -83002, -82976, -82928, -82852, -82742, -82592?\nAnswer: -82396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2501436 to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 13*s + 22. Let h be a(11). Let z(g) be the first derivative of h*g - 2\/3*g**3 - 4 + 0*g**2. Factor z(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - 96 = 0. Suppose 2*i = -2*i - 12. Let h(f) = f**2 + 3. Let c be h(i). What is the highest common divisor of d and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, 1\/7, -35, 0.1, 0.54?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113924\/82917 + 11\/3071. Let k = -9217712\/153 + 60246. Calculate the common denominator of s and k.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13117?\nAnswer: 13, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {x: 2, g: 3, h: 1, o: 1, j: 3, d: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 407*l + 3667. Let z be t(-9). Let h(k) be the first derivative of 0*k - 11 + 0*k**3 - 23\/2*k**2 - z*k**4. Find the second derivative of h(f) wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 88.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250097383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3, 0 = 4*w + 2*g - 764 - 174. Let h = -393 - -395. Suppose h*d - 3*m = m + 124, 4*d + 4*m - w = 0. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 47*i + 51. Let p(y) = -2*y**2 - 48*y - 51. Let z(o) = 5*p(o) + 4*v(o). Let n be z(-25). Sort n, 4, 2, -4 in increasing order.\nAnswer: -4, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13464.5 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000165583779 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1038 = g + 1017. Solve 20*m = -g - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1054, 8423, 28406, 67309, 131438, 227099, 360598?\n\"Answer: 1051*h**3 + h**2 + 9*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-6))\/((11\/(-154))\/((-54)\/(-63)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (16\/(-12))\/((-2)\/15) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227 - 224. Suppose 4*u + 3*s = 2408, 0 = -2*u - n*s - 573 + 1777. What are the prime factors of u?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 41, 91, 161, 251?\n\"Answer: 10*p**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 578 = 608 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 12:12 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-6 - -3) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(3\/8)))\/k*k**(5\/4))\/(k**0)**5 assuming k is positive.\nAnswer: k**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q. Let k(s) = -3*s. Let v(c) = 8*k(c) - 5*m(c). Let w(g) = 5*g. Give w(v(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42435 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d - 19. Let s be h(-7). Let n = 85 + s. Let q(l) = -2*l + 15. Determine q(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*y - 540 = -93*y. What is the highest common divisor of y and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2662 + 2655.663. Round c to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.42183 centuries to months.\nAnswer: 101306.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (150*o**2 - 60159*o + 2 + 60159*o)*(0 + 0 + 2*o**2) in the form g*o**4 + a + h*o + z*o**2 + q*o**3 and give g.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*1\/(4\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 733650 and 8440260?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9959250 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.9 - -23.9. Let z = 47 + -49. Which is the closest to z? (a) 5 (b) n (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i + 2*u - 1, 4*u = i - 9. Let c(g) = 17*g**3 + 1. Calculate c(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*a**3*j**3 - 6*a**3*j + 16*a**3 - j**3 wrt j?\nAnswer: 84*a**3*j - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f + 7. Let n = f - 0. Calculate the smallest common multiple of 11 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 183344228 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29\/66 + -2\/33. Let x = 0.3 - 0.4. Let w = 2\/3 - 5\/9. Which is the closest to x? (a) z (b) 1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25700574?\nAnswer: 2, 3, 4283429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13873942 + -38744356\nAnswer: -24870414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q - 100 = 0. Let g be q\/32*4\/3. Let b be 1\/(-12) - 1\/(-3). What is the third smallest value in b, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 1117a2?\nAnswer: 111793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 938 a factor of 2846502638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 31*x - f + 3554 = 0, 4*x + 3*f - 2852 = 0. What is the greatest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-484672)\/(-20))\/(-4))\/(-2) - -2. Let o = t + -3081. Is o >= -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -4*c + 3*c**2 + 1\/12*c**4 + 13 + c**3. Let y(h) be the first derivative of q(h). Give y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**2\/2 + 19131*k + 383220 = 0.\nAnswer: -20, 12774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 t when four letters picked without replacement from tjjtjljt.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j - 34*j + 142*j + 77*j.\nAnswer: 207*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6471 + 1?\nAnswer: 6472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 1878*q\/7 + 268.\nAnswer: 2*(q + 1)*(q + 938)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1108108 + 185*u + 7*u**2 - 3*u**2 + 3*u**3 + 1108109 in the form p + o*u**3 + c*u**2 + w*u and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10525 is divided by 1107.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**3 + 64*o**2 - 231*o - 1012. What is t(-15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 4, 2\/9 in increasing order.\nAnswer: 2\/9, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*l**3 - 2*l**2 + 254 wrt l?\nAnswer: 66*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3 + (62 - 1 - 11)*(3 - 5 + 0))*(3 - 10 - r + 0).\nAnswer: 98*r + 686","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 7, -2.557, -2\/279.\nAnswer: -7, -2.557, -2\/279, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5585673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2 - p - 6. Let s(b) = -4*b**2 - b - 7. Give 6*s(x) - 7*w(x).\nAnswer: 11*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26434414*w**2 - 5021945?\nAnswer: 52868828*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/14*19*2. Calculate the highest common divisor of 152 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1513161 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from btbtlttttbllltttb?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 22 = 6*s. Put s, -5, 2, 5 in decreasing order.\nAnswer: s, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 118.45425 months?\nAnswer: 0.098711875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1885125.6 to the nearest ten thousand.\nAnswer: -1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*r**2 - 2*r**4 + 17*r**2 + 9*r**5 + 11*r**5 - 21*r**5 wrt r?\nAnswer: -60*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11343 - -11345. Solve 12 = -0*h + p*h - 4*c, h = -5*c - 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -21, -4, 4, -1 in decreasing order.\nAnswer: 7, 4, -1, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -1\/40*h**6 - 14*h**2 - 1\/105*h**7 + 0 - 1\/48*h**4 + 0*h**3 - 1\/30*h**5 + 0*h - 1\/672*h**8. Factor y(n).\nAnswer: -n*(n + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 5*h**2 + 6*h - 6. Let j be i(4). Suppose 0*f + 34 = j*f. Let k = f + -13. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - g**2 + 1. Let q(h) = -3*h**3 - 5*h**2. Let t = 308 - 307. Give t*q(i) - 5*x(i).\nAnswer: 2*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -1 - (166 - 163) - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 31544*i**2 + 1 + 31763*i**2.\nAnswer: 219*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:34 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(1 - 0 - 2). Suppose -5*j + 3000000 = -g*j. What is j rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.87 + 28. Let t = g + -0.03. Is -0.5 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1226.6675 to the nearest ten.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + ((-1 + sqrt(363) + sqrt(363))*-2 + sqrt(363))*-3 + -2)**2.\nAnswer: -1386*sqrt(3) + 29456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:20 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*a + 4, -y = -2*a + 54 - 56 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10 = -w, i = -2*w - 0*w + 27. Let x(c) = 1 + 66*c + 26*c - w*c + 0. Is x(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/11)\/(((h**15*h)\/h)\/h)*h*((((h*h*h*(h\/(h\/h**(-1)))\/h)\/h)\/h)\/h)\/h*h*h*h*(h*h*(h*h*h**(2\/5)\/h)\/h*h*h*h)\/h*h*h assuming h is positive.\nAnswer: h**(-368\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1290*0.3\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1649 divided by -1.\nAnswer: -1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4256735, 4256880, 4257025?\n\"Answer: 145*o + 4256590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 125*o**5\/6 - 925*o**4\/3 - 4390*o**3 - 14876*o**2\/3 - 5824*o\/3 - 256 = 0.\nAnswer: -8, -2\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 2\/4541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -579, -10, 4, 9.\nAnswer: -579, -10, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5*u + 20 + 2 = -13, -2*x + 6*u - 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9597, 9304, 9023, 8760, 8521, 8312, 8139?\nAnswer: 8008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(-9 + 10 - 10)*(0*k - k + 4*k) to the form h + i*k and give i.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**3 - 213820*f**2 + 2139462145*f + 3180872366950 = 0.\nAnswer: -1310, 22037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-9)\/6) + -1. Let o(j) = -32*j + 73. Let t(s) = 30*s - 72. Let z(u) = q*o(u) - 4*t(u). Differentiate z(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43.97 and 0.3.\nAnswer: 44.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 196*l**3 - l**2 - 2 + 0*l**2 - 416*l + 414*l as b*l**3 + r + f*l**2 + x*l and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - -0.29143?\nAnswer: 18.29143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -4. Let f be 4 + -4 - 2\/(-1). Suppose -f = 8*x + 6. Which is the third smallest value? (a) s (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2860 - -2864. Which is the fourth biggest value? (a) -1\/5 (b) n (c) 540 (d) -3\/5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -5\/3 (c) 5.7 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 38*d**2 + 4*d + 158. Give i(-38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1306275003 + -4?\nAnswer: -1306275007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-3 + 83 + -69).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -15.4. Let z(k) = k**3 + 2*k**2 - 14*k + 1. Let p be z(-5). What is the second biggest value in -2\/3, a, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Suppose h = -2*w - 2 - 6. Sort 6, -3, w in increasing order.\nAnswer: w, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13*r - 15. Calculate the remainder when 88 is divided by y(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -221*q. Let o(h) = 6*h - 2*h + h - 2*h**2 - 5*h. Give s(o(d)).\nAnswer: 442*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-26)*(-74)\/(-148).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6 (b) -2\/33 (c) 2 (d) 4\/9 (e) 1\/3 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*n = -265*n - 13. Put n, 2\/3, 1.9 in ascending order.\nAnswer: n, 2\/3, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 0*z)*(135*z**2 - 74*z**2 - 140*z**2).\nAnswer: 237*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 19. Let h(l) = l**2 - 9*l + 8. Let r be h(8). Determine y(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8683 + -8666. Solve 0 = 34*b + a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1165063, 7 in descending order.\nAnswer: 7, -4, -1165063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/4, -3, -2\/15.\nAnswer: -3, -0.2, -2\/15, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/17)*y**(-4\/17) assuming y is positive.\nAnswer: y**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44264186 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*f**2 + 10*f**2 - 2*f**2 + 6.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.1 + 3.2. Let h = -2.76 - -0.16. Let r = 3.8 + h. Which is the biggest value? (a) v (b) 3 (c) -1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p + 52*p = -3*x - 2, 0 - 3 = 4*x + p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*q**5 - 5759*q**4 - 152756*q**2 - q?\nAnswer: 5520*q**2 - 138216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21*q + 375. Let i be c(18). Let n(d) = 2*d**2 - 4*d - 3. Determine n(i).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7)\/(s*(s*s*s**(1\/4))\/s))\/((s*s**0)\/(s*s**1))*((s\/(s**1*s))\/(s\/(s\/(s*s**2*s*s))))**(10\/7) assuming s is positive.\nAnswer: s**(-291\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*x**2 - 7*x**2 - 10*x**4 - 7*x**2 + 20*x**3 + 26*x**2 + 2*x**2 + x wrt x.\nAnswer: -240*x + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 7*x**6\/120 - x**5\/30 - x**4\/8 + x**3\/3 - 3*x**2. What is the tens digit of l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d**2 + 17*d**2 - 4*d + 4*d + 3*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 7*i**2 + 5*i + 2. Let y be o(6). Find the common denominator of 16\/(-32)*(-365)\/(-20) and (19\/(-8))\/(11\/y).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45163, 45709, 46255, 46801?\nAnswer: 47347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*p = 3, 4*p - 2*p = 5*m - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2517104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*h + 730 = 2*h, 3*u - 2*h = -542. Let v = u - -309. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329707759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 2*b - 2*c, 5*c - 75 = b - 8. Find the common denominator of -10\/83 and b.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -27*r**3 - 4*r + 25. Let l(x) = -135*x**3 - 21*x + 126. Let n = 86 + -82. Let z(q) = n*l(q) - 21*p(q). What is the first derivative of z(o) wrt o?\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 12*f - 4. Let u be a(9). Suppose 0 = -l - 4*l + u. Calculate the remainder when (-55)\/(-2) - 5\/l is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + -8 + (-8 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/35))**50)**33)**(-1\/72) assuming k is positive.\nAnswer: k**(-605\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 234 + 181. Let b = s - 148. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 602.83?\nAnswer: 602.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**3 - 56*z**2 + 106*z - 144. Determine d(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 56*5\/1320*(-2)\/7\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/4 - 295*i**2\/4 - 8925*i\/2 + 51750 = 0?\nAnswer: -60, 10, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**8\/5040 - v**7\/5040 - v**5\/30 + 4*v**2. Let r(x) be the third derivative of f(x). What is r(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 230736\/80 + 2\/(-10). Suppose 6242 = 2*o - 2*t - 0*t, 5*t = -25. Let q = o + x. Round q to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - b - 3 = 0, -3*v - 5*b + 9 = -8*b. Suppose 2 + v = -2*o. Let x = o - -7. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 15. Let p be ((-73)\/t)\/(-1) - 3. Let f = p - 37. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577 is divided by -1 + (-12)\/(-10) + (-12608)\/(-160)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 28. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 1720 = -4*h + 1732, 5*h + c + 13 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s - 9*s - 2*s + 20*s. Let d(q) = q + 6. Let z(k) = -2*k - 13. Let u(t) = -13*d(t) - 6*z(t). Determine 2*u(a) - 3*w(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/14 + 2\/(-7). Suppose 0 = 2*p - 8. Let o(r) = -r + p - 3 - 6*r. Give o(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/20 in 5, -2, -24, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100100101011111101 - 1000001?\nAnswer: -1010100100101100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 235080649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -4, 0.\nAnswer: -45, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0742*7045.\nAnswer: -522.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 27 = -87. Let n = -0.36 - 0.14. Put s, 2, n in decreasing order.\nAnswer: s, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.001, -452919, 2?\nAnswer: -452919","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 242788 = -2*q - 57202, 3*m - 139158 = 3*q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -7*p**6\/45 - 242*p**5\/75 - 353*p**4\/15 - 968*p**3\/15 - 24*p**2 - 850. Let w(n) = 0. What is n?\nAnswer: -6, -5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -26. Suppose -2*o + 4 = 2. Let n(i) = -i**2 - 7*i - 9. Let s be n(-6). Sort y, s, o in decreasing order.\nAnswer: o, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*p**2 + 211*p**2 - 100*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 38*m**3 - 42*m**2 - 19*m - 8. Let l be h(5). Calculate the highest common divisor of l and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 14*g**2. Let u(l) = -2*l - 6 + l + 6. Determine u(w(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkjjpjp. Give prob of picking 1 k and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 349, 527, 705, 883?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/(791\/(-49) - -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, 21, 53, 89?\n\"Answer: 2*n**2 + 22*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**4\/18 - 2*v**3 - 27*v**2 + 3*v + 384. Factor a(y).\nAnswer: -2*(y + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/(((-3432)\/32)\/(-13)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1 + 24683*m**2 + 3*m + 0 + 7328*m**2 + 11991*m**2. Let b be p(-1). Round b to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + u = 5 + 1, -5*u + 24 = 3*h. Let v(m) = -6*m + h*m + 5*m - 3*m. Let a(t) = 15*t. Determine a(v(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -0.05992?\nAnswer: 3.94008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24277 (base 14) to base 12.\nAnswer: 43129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40641*o**3 + 81276*o**3 + 161*o**4 - 40639*o**3 + 1 + 3*o + 2*o**2 to the form d*o**3 + g*o**2 + l*o + q*o**4 + k and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(190) - ((sqrt(190)*1 - sqrt(190))*-2 + sqrt(190)))\/((-1*-2*sqrt(110))\/((sqrt(11) + sqrt(11)*1)*-2)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 502183 (base 11) in base 12?\nAnswer: 32b801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -9\/4 (b) -3 (c) 633\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*r + r = 6, -4*r = -3*j - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 46. Let n be m(-17). Let w be -5 - (1 + n - 13). Calculate the greatest common divisor of 9 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105777.16 to the nearest 1000.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.32, 1\/8, -2?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 14*g**2 + 14*g + 17. Let x = 6 + 9. Let w be k(x). Suppose 72 = -q + w*q. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2825879 = 305879. What is r rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6*1\/6*8. Let k(z) = -z. Let i(d) = 1. What is f*k(c) + 2*i(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -333.5 * 8.578.\nAnswer: -2860.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by 77\nAnswer: -54\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3296 and 3.2.\nAnswer: -1.05472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -10, 19 in descending order.\nAnswer: 19, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 42. Let c be m(15). Suppose c = 12*l - 39. Calculate the greatest common factor of 18 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**5 - 4182*v**4 - 1457427*v**3.\nAnswer: -3*v**3*(v + 697)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 15*y + 3066. Let i = y + 270. Does 31 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*j - 18975, 58*j + 5*s = 61*j - 11417. List the prime factors of j.\nAnswer: 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5771999 or -7\/6?\nAnswer: 1\/5771999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*0 + -3. Let r(p) = -3*p**3 - 3*p**2 + 2. Let q be r(w). Suppose 3*o - 5*m + 4 = q, 4*o - 26 = -2*m. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*b**3 + 112*b**2 - 112*b**2 + b**3 + 3 - 3 + (-1 - 2 + 5)*(3*b - 3*b - b**3) + 7*b**3 + 2*b**3 - 3*b**3.\nAnswer: 45*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*h**2 + 89*h**2 - 35*h**2 + 111*h**2 - 5*h**2.\nAnswer: 226*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 - 23*k**2 - 19*k + 6. List the prime factors of v(9).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586727738 a multiple of 600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 5. What is q(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, -109, -239, -411, -619, -857, -1119?\n\"Answer: w**3 - 30*w**2 + w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 680*g**2 + 1372*g + 688.\nAnswer: -4*(g - 172)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 3}. Give prob of picking 2 g and 1 l.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c. Let t(n) = n - 6. Let f(s) = -1. Let a(p) = 6*f(p) - t(p). Calculate u(a(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 - 8*r**2 + 7*r + 55. Let n(c) = -c**3 + 3*c**2 - 2*c - 18. Calculate -3*h(t) - 8*n(t).\nAnswer: -t**3 - 5*t - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1606 = -3062*o + 2823*o - 6961 - 3622 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*x + 7*t - 8*t, -x - 3*t = 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 36337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 + 114. Let f(y) = 3*y**2 + 17*y - 15. Let d(k) = -k**2 - 6*k + 5. Let i(s) = -11*d(s) - 4*f(s). Determine i(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -422125 + -4?\nAnswer: -422133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*v - 893108, -n - 340172 + 42460 = -3*v. What is n rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1632)\/(-270) + -4 - 2. Is -4 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 64, 84, 122, 184, 276, 404, 574?\n\"Answer: c**3 + c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 8579?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 92, 87, 82, 77, 72?\n\"Answer: -5*t + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.1, 3\/5, -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyzllcl. What is prob of sequence ccy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 16 + 2*i**2 + 0*i**2 - 139109*i**3 + 139124*i**3 as f + h*i**2 + x*i + v*i**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1600 = -4*l, 2*v - 1090 = -0*v + 2*l. 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: Does 394 divide 26663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8804673423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 22. Let l = 4 - g. Let a = l + 4. Solve a*b - 8 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1.3398541\nAnswer: -6.6992705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000086747 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 119\/398 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -5*s + z + 1, 3*s - 8*s + 0*s + 29 = z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/43297467 and 61\/232158.\nAnswer: 86594934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4 - 3368*s**3 - 23644*s**2 - 50712*s - 30438 = 0. What is s?\nAnswer: -3, -1, 1691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (268 - 279) + -3 + 5 + 0 + -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -211*a - 616. Let r(o) = 209*o + 618. Let l(f) = 5*r(f) + 6*s(f). Find the first derivative of l(m) wrt m.\nAnswer: -221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-12))\/((-231)\/(-27) + -8). What is the nearest to 0 in -1.1, j, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 6*f. Let g be r(6). Let h(t) = t + 4. Let y be h(g). Is 1\/y - 210\/(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {c: 3, z: 3, s: 5, o: 3, r: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0, -276\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*g - 17. Let x(y) = -y**3 + 8*y**2 - 6*y + 1. Give x(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6588 and 23241.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 4*u + 221. Let v(s) = -2*s**2 + 2*s - 108. What is 3*j(w) + 5*v(w)?\nAnswer: -w**2 - 2*w + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 7. Let x(y) = -y**2 - 10*y - 7. Let c be x(-10). Let q be o(c). Solve h - 2 = 3*b - q, -3*b - 26 = 5*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 23*z - 44. Let g be x(-25). Let r be (-5)\/((-10)\/7844) - (g - 5). Suppose -277 - r = -2*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-12)*(60\/(-8) - -3). Let s be (0 + 0)\/(2 - 1). Suppose s*y = 3*y + 21. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 3:03 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3141583 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, 3\/295, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let w(s) = -s**2 - 18*s - 4. Let x be w(-19). Let c = d - x. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 33395 in descending order.\nAnswer: 33395, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630016?\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 + c**2 + 2. Let k(h) = 6*h**3 - h - 3. Let i(y) = -4*k(y) - 5*x(y). What is the lowest common multiple of 2 and i(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-50))\/(-6*5\/150)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/18*3)\/(3\/(-36)). Suppose -l - 3*l = 4*y - 744, u*y = 4*l + 752. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1015196*v + 774587?\nAnswer: -1015196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -54, -144, -308, -570, -954?\nAnswer: -1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/7)\/(9\/((-819)\/(-26)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 12. Let b be h(9). Let g = 14 + b. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -8577*v**4 + 5736*v**3 + 3262107*v**2 + 1079574*v - 2280 = 0?\nAnswer: -19, -1\/3, 2\/953, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l + 3. Let m be j(0). What is the tens digit of m + -4 + (11 - -470)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255 divided by -5\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4235, -1, -115 in decreasing order.\nAnswer: -1, -115, -4235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 80272.02 milligrams in kilograms?\nAnswer: 0.08027202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*z - 73*z - 8 + 41)*(-10*z**2 + 2*z**2 - 3*z**2).\nAnswer: 132*z**3 - 363*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268863097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26570 smaller than 18817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3899 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 5*a**4\/24 + a**2. Let m(t) be the third derivative of 0 + 1\/30*t**5 - 6*t**2 + 0*t**4 + 0*t + 0*t**3. Give m(u(b)).\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -88*t + 445. Let u be n(5). Sort -1, u, -39 in descending order.\nAnswer: u, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -533454.34295213 and -1.\nAnswer: -533455.34295213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = d - 12 - 23, 0 = -2*d + 2*g + 50. Suppose 5*n = 4*n + 50. Calculate the highest common factor of d and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f84 - 4?\nAnswer: -f88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.07 and 18418.\nAnswer: 18417.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/3)\/((-2)\/(-9)). Let y(k) = 3 - 43*k + 23*k + 2 + 21*k. Give y(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8746 is divided by 1160.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 545204 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*n + 10, 4*n - 5*d = -n + 10. Let f(l) = -l**2 - l + 1. Let y(p) = -p**2 - p + 1. Let a(g) = -5*f(g) + 4*y(g). What is a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*o**2 - 86*o**2 + 8*o**3 + 248*o**2 - 79*o**2.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2\/35, 23 in decreasing order.\nAnswer: 23, 1\/4, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**(-1\/14)*(y**(4\/5)*y)**11 assuming y is positive.\nAnswer: y**(193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 36. What is the second derivative of -15*j + 5 + r - 9 - 4*j**4 wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 - 25*f**2 + 5548*f - 50097. Determine a(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:17 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2*sqrt(3078))\/(sqrt(162)*-2) + sqrt(38)\/(sqrt(162)*-2) + 5))**2.\nAnswer: 2125*sqrt(19)\/9 + 339775\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487348 is divided by 3962.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799195?\nAnswer: 5, 159839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {i: 2, f: 13, k: 5}.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166396183 is divided by 2381?\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -73\/152866?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - 2*z)*(3 - 3 - z) - 9*z**2 + 9*z**2 + 11*z**2 + 0*z + 0*z + 2*z**2 - 5*z**2 + 3*z**2 - 13*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**2 + 3 + 4*r - r**3 - 12*r**2 + r**2. Does 6 divide q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 329*x**2 - 669*x + 1627. Give p(-331).\nAnswer: 3944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.192036743 rounded to three decimal places?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137 and 7?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 373 + -372.99. Let f = -2.05 - -0.05. What is the biggest value in m, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 24*f**2 + 17*f + 17. Let l(p) = -4*p**2 - 3*p - 3. Suppose -19*u + 581 = -65. Let v(g) = u*l(g) + 6*w(g). Let t(j) = 5*j**2. Give t(v(a)).\nAnswer: 320*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t**(6\/13)*t)\/t*t*t\/((t*t*t**(2\/17)\/t)\/t) assuming t is positive.\nAnswer: t**(739\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58\/59 - -2047\/1062. Let v be -15 - (-2 - 3 - -2). Calculate the common denominator of m and (-3)\/v*186\/(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -986*m**5 - 4*m**4 + 2*m**3 + 2015*m**2 + 2*m. Let n(x) = -2*x**4 + x**3 + x. Let a(f) = 2*n(f) - w(f). What is the third derivative of a(l) wrt l?\nAnswer: 59160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -646745 - -13?\nAnswer: -646732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 21 = -3*q. Let g = -12 + q. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and -60527.\nAnswer: -60526.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 6:37 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150039699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 93*q + 2795. Let f be z(0). What is the greatest common factor of f and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.2 (b) -36 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*s**4 + 5*s**4 - 46*s**4 + (-s**2 + 6*s**2 - 4*s**2)*(0 - s**2 + 0).\nAnswer: -86*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 432659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7219, -14058, -20897, -27736, -34575?\nAnswer: -41414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6331029428.\nAnswer: 2, 1549, 1021793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgsssjw. Give prob of sequence jg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -8. Let q be (-1 + -1)\/(y\/(-2512)). Suppose 2*n = 4*l - q, n + 315 = 2*l + 2*l. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4\/7 (c) -39 (d) 1175\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -8. Suppose -o = 5*q - g, -6*o + o + 5*q - 20 = 0. Let p be 1\/o - 22\/(-4). Solve 2*y = p*i - 18 - 12, -2*i = y - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 65 = 3*x, -38 = -x - 2*i - 2*i. Solve -2*r + 2*f - 16 + x = 0, -2*r - 4*f = -6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.43 (b) 2\/9 (c) 20 (d) 1 (e) 215\/8 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540 and 9200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13149, -13148, -13149, -13152?\n\"Answer: -l**2 + 4*l - 13152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -61486.\nAnswer: 9\/61486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59773*g**4 + 247110*g**2.\nAnswer: -1434552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -153*f + 3. Let b be 4\/3*3\/(-2). Is m(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13649889 + -381\nAnswer: -13650270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5665874 divided by 2832937\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -6\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -21*l**2 + 6*l + 16. Let a(r) = -4*r**2 + r + 3. Let v(o) = -11*a(o) + 2*y(o). Let u(t) = -10*t**2 - 6*t + 5. Determine 2*u(g) + 11*v(g).\nAnswer: 2*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 + 45804*h**3 - 170068833*h**2 - 36616143504*h - 36446028864 = 0. Calculate h.\nAnswer: -203, -1, 7736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s. Let l(r) = 6*r. Let b(v) = -9*l(v) - 4*m(v). Let d(o) be the third derivative of -o**4\/6 - 18*o**2. What is d(b(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -388, -5, 36, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*z**2 - z**3 + 4*z**3 + 55*z**2 - 1 to k*z + j*z**3 + l*z**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 16 - 15*h**2 - 9 + 5*h**2 + 6 - 2*h**3 - h. Let n be c(-7). What is the highest common factor of 54 and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -2, -13\/3, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u - u**4 + 3*u**4 - 1 - 8*u + 9*u**2 - 3*u**4 - 2*u**3 in the form d + s*u**4 + x*u + w*u**3 + m*u**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 4*t - 2*t - 13*t to m*t + d and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-649 + 21*c + 649)*(-1 + 2 + 0) + (3*c - c - 3*c)*(-1 - 1 + 0) + 3 - 12*c - 18 + 1.\nAnswer: 11*c - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from bmmmmbccmc.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 224.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/3 + (-8)\/(-12). Let l(m) = m. Let t(n) = -n. Let u(g) = 2*g. Let b(w) = 11*t(w) + 6*u(w). Calculate z*b(d) + 2*l(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 2, 3, 2\/3, -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 151 and 740.6059.\nAnswer: 111831.4909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**(2\/7)))\/(n**(-2)*n))\/(n**2*n**4)*(n**(-5))**(10\/21) assuming n is positive.\nAnswer: n**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 29 = -4*h. Let p be (-4)\/8 - h\/(-2). Suppose -2*z + p = 2*w + 2*z, -w = -4*z - 1. Let o(a) = -a + 3. Give o(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -44490636 and -0.4.\nAnswer: -44490636.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 2*r**2 + 4*r - 25. Suppose 0 = -5*s - 3*y + 17, 3*s - 2*s - 7 = 3*y. Let k be 18\/(-4) + 2\/s. Calculate w(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31.1 - -31. Is -4 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*h - 5*h - 22, 0 = 3*z + h + 76. Is z less than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 4*w + 135. Let p be i(0). Suppose o + 3*c - 200 = 0, 5*o - c - p = 945. What are the prime factors of o?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 1. Suppose -104*w = -109*w - 105. Let n(y) = 10*y - 4. What is w*z(a) + 6*n(a)?\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.007 - 3.993. What is the closest to -2\/9 in -1, s, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10 - 7*s + 11*s - 5*s - s. Let w(x) = x**3 - 6*x**2 - 2*x + 7. Let z be w(6). Let j be q(z). Solve u + 8*o = 3*o + 12, 2*u + 2*o - 8 = j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 22 + 234\/(-9) + (-58)\/(-12)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (43\/(-86))\/(2\/3812) - 9. Sort 5, -2, t in decreasing order.\nAnswer: 5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5026*x**2 + 3*x**3 + 5026*x**2.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -15.71.\nAnswer: -0.1571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 + m + 1. Let k(v) = -6*v**3 + 5*v**2 - 5*v - 325. Give -5*h(c) - k(c).\nAnswer: c**3 + 320","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by 54?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3972422.10000014 + 3972422. Let x = q - -0.1. Round x to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 2723*g**3\/3 - 6705*g - 2421. What is the first derivative of m(z) wrt z?\nAnswer: 5446*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37052, -74129, -111206, -148283?\n\"Answer: -37077*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 3. Let z = -15 + -21. Let l = z + 143\/4. What is the second biggest value in 2\/9, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:58 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 621837973 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 10*m**2 - 16*m - 56. Determine d(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 300 - 276. Which is the third smallest value? (a) 0.2 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26089 is divided by 12204?\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**6\/2520 + a**5\/168 + a**4\/42 + 5*a**3 - 11. Let i(r) be the third derivative of p(r). Find s, given that i(s) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34606 and 28028?\nAnswer: 3391388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*c - 2*x, -3*c = 4*x. Let v be (-1 - -5) + (c - 2). Suppose -2*f - s = -13, 2*f = 5*s + 6 + 1. Solve -f = u + v*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 5:25 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 26*a + 162. Give q(18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-9)\/(l\/l**1))\/(l*l**(-7)*(l**(-2\/9)\/l)\/l) assuming l is positive.\nAnswer: l**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -206*h - 150. List the prime factors of i(-4).\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from wwwwyywywywwy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1973.968 + 1985. Let h = t - 11. Let o = h + -0.03199933. What is o rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/96 and (-12)\/(-3) - -3 - 44772\/6336.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 983 + 1023 - w**2 - 1961 + 2*w**3.\nAnswer: 2*w**3 - w**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16176)\/(-26) + 92\/(-598). Let u = 625 - j. Solve 14 = 2*z - 3*g - 0*g, u*z + 17 = -5*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 669*d**3*i**2*p**3 - d**3*i**2*p**2 + d**2*i**2*p**2 + d**2*i**2 - 6*d*i*p**2 + 51*d*p**2 - d*p - 52*i**2*p**4 wrt p?\nAnswer: 4014*d**3*i**2 - 1248*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 3 (c) 7 (d) -1616 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496080 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 3, -6, -15, -2, -47 in increasing order.\nAnswer: -47, -15, -6, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57912 (base 10) to base 11.\nAnswer: 3a568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 + 48. Suppose 0 = 113*p - 652 - 139. Let n = p - i. Calculate the remainder when 61 is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 3*s**2 + 12*s**2 - 5*s**3 + 9*s.\nAnswer: -3*s*(s - 3)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 27, 12, -9, -36?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Let i(b) = 1 + 6 - 3 - u*b - 2*b**2. Determine i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let x be (-40)\/(-90) - (-1 - 0). Let w = -10\/9 + x. Which is the nearest to h? (a) 5 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285854982 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 2, z: 8, o: 2, w: 7}. Give prob of sequence ozw.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.134 and 7189 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -78, -86, -94?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y - 40 + 40 + 6*y + 17*y**2 wrt y?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(10) + sqrt(490)))\/(sqrt(12)\/sqrt(4)*-3)*2)**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62 + 62 - 18*g + 6*g + 0*g - 17*g + (-3 + 2 + 0)*(3*g - g - g).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j**3 + 199*j**2 + 740*j - 17256. Determine s(22).\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 22759.\nAnswer: 6827.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:32 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 1\/150*q**5 + 0*q + 1\/60*q**4 + 3\/2*q**2 - 3 - 2\/15*q**3. Let k(r) be the second derivative of v(r). What is b in k(b) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 91*n - 150. Is i(-76) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (0\/(-1 - -4) - -4). Solve -3*a + 0*n + 21 = c*n, a - 4*n = -18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 268906330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 784?\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_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 m(v) = -5*v**2 + 3*v. Let k(s) = 5*s**2 - 4*s + 3. Let r(q) = 11*q**2 - 9*q + 7. Let j(a) = 14*k(a) - 6*r(a). What is 7*j(d) + 6*m(d)?\nAnswer: -2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -946 - -527. Let o = s - -419.00442. Round o to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 557 - 525 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19266, 19267, 19270, 19275, 19282?\nAnswer: 19291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 12:42 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - i**2 - 4*i + 115. Is n(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*b - 1. Let p be (-2)\/3*(-19 - b). Suppose 5*k + 0*k - 41 = -2*r, 2*k = p. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -29326999, -58654012, -87981035, -117308068, -146635111, -175962164, -205289227?\n\"Answer: -5*m**2 - 29326998*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 4*a - 12, 2*u + 4*a + 0*a - 12 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b**3 + 0)*(-2 + 21*b + 2) - 3*b**4 + 0*b**4 + 2*b**4.\nAnswer: 41*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442 and 11934.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2702311963 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let n = 48 - 66. Let l(z) = 8*z. Let d(o) = -9*o. Let h(a) = -3*d(a) - 4*l(a). Let x(y) = y. Let s(v) = n*x(v) - 4*h(v). Determine s(p(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 2:30 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*w - 43*w = -53*w + 102 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1284\/(8 - 1*(-1401)\/(-174)). Round z to the nearest 100.\nAnswer: -24800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 70. Suppose 2*x = 5*z + 35, x - z = -x + 31. Let t be (2 + -1)\/(3\/x). What is the greatest common divisor of t and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*q*u**2 - 17*q*u + 83*q + 10 wrt u.\nAnswer: 22*q*u - 17*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/133 in -2, 2\/5, -3, 5\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*g + 89, 34*p - 31*p + 3*g - 63 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15613 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26, -54, -84, -116?\n\"Answer: -a**2 - 25*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00602761981 rounded to 4 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 4*p**2 - 4*p + 4. Let j be s(-4). Suppose 0 = 5*b + j, 0 = 3*a + 2*a - 5*b - 120. Suppose 15*o + 3405 = a*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/((-44)\/8 + 4). Solve 5*c + 3*t = -15, 0 = -c + w*t - 4 + 24 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -290) + (7034 - 7171).\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-1.679.\nAnswer: -0.3358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15627, -15634, -15653, -15690, -15751?\nAnswer: -15842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g. Let s(m) = -m - 8 + 6 + 2. Let w(k) = -12*k. Let d(p) = 10*s(p) - w(p). Determine d(c(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 - -80. Let a be -11 + b - (-1)\/1. Suppose 4*k - 409 - 423 = a. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 12*q + 7. Give w(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46961941?\nAnswer: 13, 3612457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*i - 2*s, -4*s = 5*i + 1 + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8*2*2. Let j = -3 - q. Suppose -t - 3*t + 8 = j. Solve -t = -4*v + 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z**2 + 8*z**2 - 28*z**3)*(6*z + 2*z - 3*z) + 4*z**4 - 2*z**4 - z**4.\nAnswer: -139*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*i**2*n**3 - 2*i**2*n*r - 5*i**2*n - 4*i*n**3*r + 3*i*n + 2*i*r wrt n?\nAnswer: 270*i**2*n - 24*i*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9026 to the nearest 100.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r + 228. Let h(l) = 5*l - 227. Determine -6*b(u) - 5*h(u).\nAnswer: -u - 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000206787 rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -206*y**3 - 2*y**2 + 17*y + 42. List the prime factors of s(-3).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1032 and -13\/96.\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23523727 - -23523676.9999984. Let u = y + 50. Round u to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*a + 36. Suppose -r - 50 = -5*y, 0 = 2*r + r + a. Let o be (y - 6)\/((-6)\/(-4)). Solve 3 = 5*n - o*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7))**(5\/9) assuming s is positive.\nAnswer: s**(-5\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197800693\/3 or 65933565?\nAnswer: 197800693\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*6*1*2*(sqrt(200) + (sqrt(200)*-1)**2 + sqrt(200))*-6.\nAnswer: 25920*sqrt(2) + 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306 or 303?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3341 take away 392?\nAnswer: -3733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575005999 to the power of 1\/3, to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0*q**5 + 1\/6*q**4 + 4*q + 0*q**2 + 0 + 0*q**6 - 1\/21*q**7 + 0*q**3. What is the third derivative of d(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2068*a**3 + 0*a + 5 - 3*a**2 + 0*a + 1033*a**3 + 1030*a**3. Let y(z) = 5*z**3 + 4*z**2 - 6. Give 6*b(g) + 5*y(g).\nAnswer: -5*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.838642ms in days?\nAnswer: 0.000000692576875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a factor of 202556532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/21)\/(112\/392)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 37*w**2 - 38*w + 5. Let q be d(-38). Solve 0 = 2*a - 3*f - 0 - 7, 0 = 2*a - q*f - 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*c - t + 5, -2*t + 20 = 2*c. Let a(v) = c*v - 7*v - 3*v. Let j(d) = -7*d. Determine a(j(z)).\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 3. Let y be f(3). Suppose 6*c - 124 - 98 = y. Find the first derivative of -14 + 7*n + c - 17 wrt n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 s when four letters picked without replacement from ooooooooosoooosooooo.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21 + 33)\/((-5)\/(-2) + -1). Suppose 8 = 2*p, -r*u + 11*u = -p + 10. Solve -5*b + x + 11 = -2*x, 0 = -u*b - x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + n**2 - 2*n - 1. Let f be (4 - 8\/4) + -4. Determine a(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 + 60*h + 376. Calculate the remainder when 617 is divided by a(34).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36674 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4542*g - 140739. What is n(31)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 25*j. Let p(y) = 5*y**2 - 97*y. Let f(c) = p(c) + 4*v(c). Determine f(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*k**4 + 2*k**4 - 6*k**4 + (0*k + 2*k**3 + 0*k)*(-2*k + 3*k - 2*k) + 4*k**4 + 0*k**4 - 3*k**4 as b*k**4 + q + d*k**3 + v*k**2 + t*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15540 divided by -148?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0. Let f(j) = -j + 16. Let x be f(11). Let v be x - (-6 + 2)\/(-4). Which is the third smallest value? (a) v (b) -1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4 - 80*w**3 + 11628*w**2 - 108880*w + 171904 = 0. Calculate w.\nAnswer: -158, 2, 8, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -477400*m**3*v**2 + 4*m**2*v**2 + 2*m*v**2 + 185*m - 290*v**2 wrt m.\nAnswer: -2864400*m*v**2 + 8*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1803*t**5 + 2*t**4 - 353*t**3 + 123*t**2 - 102772 wrt t.\nAnswer: 108180*t**2 + 48*t - 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**3 - 7*q**2 - 7*q - 9. Let p(y) = 2*y**3 + 3*y**2 + 3*y + 4. Give 3*j(r) + 7*p(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -17. Let o = 0 - 0.2. What is the nearest to -1\/4 in o, a, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/m*m*m)**7\/(m*m\/(m*m*m\/(m*m**(-2\/25))))**(2\/15) assuming m is positive.\nAnswer: m**(-13121\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 3. Let g(w) = 3775*w. Determine x(g(j)).\nAnswer: 11325*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -238.765?\nAnswer: -238.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x + 8. Let b(l) = 47*l + 40. Determine -b(o) + 6*s(o).\nAnswer: -23*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h + 2. Let i be ((-3)\/h)\/((-1)\/2). What is the third derivative of -m**2 + m**2 + 3*m**4 + 4*m**2 - i*m**2 wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49966 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -261*b + 299*b. Suppose 2*t - 4*d - 760 = 0, 4*t - d - 1504 = 3*d. Let q = t + -2225\/6. Is q smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16924 - 4?\nAnswer: 16920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 21*u - 73. Let p(b) = -19*b + 74. Let h(g) = -7*p(g) - 6*q(g). Determine h(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1383388 (base 9) to base 14\nAnswer: -15c3bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22632*h**2 + 36864*h - 13365\/2 = 0 for h.\nAnswer: -165\/92, 27\/164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35039929.\nAnswer: 1549, 22621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 72*i**3 + i. Let r be d(1). Let u be (r\/3)\/(3\/36). Suppose -4*q = 76 - u. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 3*a**2 - a + 4. Give p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 322.8 to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50109635 and 335?\nAnswer: 50109635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -18*g. Suppose w = -0 - 2. Let o be d(w). Let v be 94\/18 - 8\/o. Solve -v*c = 5*a - 20, -4*a - 11 = -2*c - 3*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3321 (base 6) to base 2\nAnswer: 1100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -37*l + 10*l + 11*l - 2*l. Let z(n) = n - 4. Let t(b) = -2*b + 9. Let d(r) = -4*t(r) - 9*z(r). Give d(a(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and (-470)\/(-282)*(-54)\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -315 + 504. Suppose 0 = 2*u + 195 - w. Let j be 15\/(u\/(1 + -4)). Solve -3*s + 21 = 3*z, -4*s - 3*z + 8 = -j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5091394 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/(-280)*((-195)\/54)\/(-13)*120\/(-8)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200*z - 2\/7*z**2 - 35000.\nAnswer: -2*(z - 350)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45896034.\nAnswer: 2, 3, 61, 125399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-5)*f)\/f)\/f)\/(f**6\/f))\/((f*f**(-4))\/((f\/(f**(2\/9)*f))\/f)) assuming f is positive.\nAnswer: f**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 369086?\nAnswer: -369087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 60084640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b + 7. Let u(k) = k - 2. Let g be 5\/(15\/2)*-6. Let o(v) = g*i(v) - 14*u(v). Let s(j) be the first derivative of j**2\/2 + 1. Determine o(s(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -200, -0.41, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 7:08 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 2*n = -i - 42, 5*i - 4*n = 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 2 t when four letters picked without replacement from {t: 2, q: 4, b: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444698.9 litres in millilitres?\nAnswer: 444698900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 10, 4*d = -5*q + 3*d + 1212. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.139? (a) -4 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33*(1\/3)\/1. Let d(c) = c - 8. Let o be d(6). What is the least common multiple of 7 and u + 0 + o\/1?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 7 = 2*r, -r = -5*r + 2*y + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*c - 2, 0 = 3*y - 0*y + 5*c - 16. Is 5 a factor of (120\/48)\/(y\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/(6\/8). Suppose n = -3*k + 8. Let p = 7 - k. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 109.\nAnswer: 4\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 16*o**2 + 16*o - 7. Let f be j(15). Solve f = -2*r + 4*s, -3*r - r + 12 = -s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 53*i - 630. What is the least common multiple of i and 68?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.3628 rounded to 1 decimal place?\nAnswer: 65.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 90*t**3 - 6 + 30)*(2 - 1 - 2).\nAnswer: -90*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 29 + 21 = -20*u - 82 + 25, -2*o + 33*u = 37*u + 34 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-416 + 16)*270\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 54. Let m = r + -16. Let x = 1.5 - 1. What is the second smallest value in x, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(1 - -1)\/12. Let o(m) be the first derivative of 0*m**5 + 0*m + 0*m**3 + h*m**6 - 2 + 0*m**4 - 1\/2*m**2. What is the second derivative of o(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 728\/(-12) + (-12)\/(-18). Let z be (-4)\/5*l\/24. Suppose 6 = -z*k + 18. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 503042, 1006092, 1509142, 2012192?\nAnswer: 2515242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1604000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 98*z + 15486 = 0. Calculate the remainder when z is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -380688 or -380685?\nAnswer: -380688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29860 by 4.\nAnswer: -7465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 6. Let r be u(-5). Calculate the common denominator of r\/42 - (-3)\/(-2) and -22\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 52*g + 99. Calculate f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.4522 + -4.4473482. Round t to five decimal places.\nAnswer: 0.00485","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 86341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by 3535782.\nAnswer: -79\/3535782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -23010, -31, -0.4 in descending order.\nAnswer: -0.4, -31, -23010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*b - n - 5, 3*b - n - 25 = 0. Solve -1 = 5*x - 2*a, -a = 5*x - 5*a + b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6151 = 556*f - 35 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 106314261, 212628525, 318942789, 425257053, 531571317?\n\"Answer: 106314264*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)\/(u\/(u\/((((u**(-1)*u)\/u*u)\/u)\/u))))\/(u**1)**(-13)*((u*u**(-7)\/u)\/(u\/(u\/(u*u\/(u*(u*(u\/(u**(-8)*u)*u)\/u*u*u)\/u)))))**39 assuming u is positive.\nAnswer: u**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q. Let l = -213 + 145. Let b(z) = 44*z. Let u(v) = l*y(v) - 6*b(v). Let a(i) = -16*i**2. What is u(a(s))?\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(10\/(-25)*15\/(-6)). Suppose f - 5*f = 5*g - 16, 4*g - 18 = n*f. Let j = -2 - -2.1. Which is the closest to j? (a) 12 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -69880, 2 in ascending order.\nAnswer: -69880, -17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 43789350?\nAnswer: 4378935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -38, -71, -122, -197, -302?\n\"Answer: -z**3 - 14*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13\/91*10\/(-5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/3 + 3\/(-9). Suppose -u - t = -q, -2*u - 9 = 2*u - q. Put 2\/5, u, 3 in increasing order.\nAnswer: u, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-10)*171\/30. Let q = 68\/5 + i. Suppose -r + 5*r + 5*m + 16 = 0, 4*m = -5*r - 11. Is q less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4449 - 2656. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 28 = 6*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6395703 take away -21?\nAnswer: 6395724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 1, f: 2, x: 1, k: 1}. What is prob of sequence hx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2836921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 125*o + 2839. Let c be r(-103). Solve -563*m = -c*m + 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*b**2 - 12*b + 158 wrt b?\nAnswer: -32*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.073 - -0.297. Let z = 0.13 + f. Let p(k) = 4*k**3 + k - 1. Let y be p(1). Which is the closest to -1\/2? (a) -2\/3 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.989 + 0.13598\nAnswer: -0.85302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13706.526 hours in days?\nAnswer: 571.10525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00076251889 to six decimal places.\nAnswer: 0.000763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 158*s - 160*s + 12. Suppose -21*g + s*g + 45 = 0. Solve 4*t + 8 = 0, -g*t + 3 + 1 = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23097?\nAnswer: 3, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0189 (b) -0.05 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/((-24)\/72)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 763653 divided by -3?\nAnswer: -254551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2146*v + 5 - 2552*v - 3 - 2 + 6852*v - 2093*v.\nAnswer: 61*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 + 68. Let u(d) = d**3 + 4*d**2 - 3*d - 4. Let c be u(n). Suppose 31*m = 33*m - c. Solve 0 = -m*b - 2*r + 6, -2*b + 6 = -3*r + 5*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*s = 726*s - 15747. What is the remainder when 926 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23584 + 0.4\nAnswer: -23583.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 232 - 215. Suppose 5 = 10*t - 55. Let a(f) = 2*f**2 + 2*f - 1. Let l(p) = -6*p**2 - 5*p + 3. Give b*a(z) + t*l(z).\nAnswer: -2*z**2 + 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 2 + 0*z + 3. Let p(d) = -12*d + 1. Let j(u) = -15*u + 2. Let w(l) = 3*j(l) - 4*p(l). Let o(q) = -q - 1. Let f be o(2). Give f*w(c) + 8*g(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 21 = -7. Let a be 2\/(-13) - (z + (-48)\/(-26)). Solve -4*w - w = a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 345188941 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 + 106. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11643 or 11644?\nAnswer: 11643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 83642 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 53*q + 348. What is w(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51, -103, -171, -261, -379, -531, -723, -961?\n\"Answer: -q**3 - 2*q**2 - 39*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -978*j**7\/35 - 41*j**5\/30 - 5*j**3\/6 - 373*j**2 - 3*j. What is the third derivative of v(d) wrt d?\nAnswer: -140832*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 17. Let b be z(-4). Let k(u) = 4*u**2 + 507*u - 515*u - 3 + u**b - 4 - 11. Calculate the smallest common multiple of 4 and k(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(735)*4 - sqrt(735) - sqrt(15))\/(-6*sqrt(3)*-4).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 6*d**2 - 2*d - 9. Let o = 18 + -25. What is the remainder when p(o) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 46. Give v(-16).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 15. Let w be u - -1 - (2 + 1). Solve 5*h = w*c - 0*h - 40, -3*c - 2*h - 1 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-4))\/((-2)\/(-16)). Suppose 2*h = 4*h - l. Suppose -h - 2 = -q. Calculate the remainder when q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2514824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-245)\/77) + 6\/33*11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1031 + 39?\nAnswer: 106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**6\/120 + s**5\/3 - 7*s**4\/6 - 17*s**3\/2 + 9*s**2 + 4. Is n(-21) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 8:38 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r - 5. Let x be y(2). What is the tens digit of (-1)\/(-1)*13*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346530?\nAnswer: 2, 3, 5, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 8*t - 3. Let m be w(-7). Let z = 0.2 + -0.1. Let u(q) = 2*q**2 - 5*q + 5. Let h be u(2). Which is the closest to z? (a) m (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/155, 1, 0.5, -1\/4, -4, -0.058, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -1303?\nAnswer: -12a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**5\/20 + 2*o**4\/3 + 4*o**3\/3 + 9*o**2\/2 + 2*o. Let u be t(-7). Solve -k = 2*a - 0*a - 12, 4 = -a + u*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44.1 - 41. Let z = j + 13.9. Let h = 21 - z. What is the nearest to 2 in -2, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 8*y. Let t = -16 + 8. What is x(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i + 8. Let a be u(5). What is the highest common factor of a and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjx when three letters picked without replacement from ixjjxp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7) - (-11)\/(-35)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 - l**2 + 0*l**2)*(260 + 207 + 22*l - 440) to z + i*l**3 + g*l**2 + p*l and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8195, -1\/53, -7\/6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j = -33*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*d**3 + 5558186*d**2 + 2223276*d = 0. Calculate d.\nAnswer: -2\/5, 0, 555819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11380.98 + -10762. Let p = q + -626. Let g = p + 7. Which is the smallest value? (a) -3 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 + 2 - (-17 - -21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) - 97\/4. Let m = -3741 + 3760. Let b = m + h. Let s(l) = 3. Let t(j) = j**2 - 5. Give b*s(r) - 3*t(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5, 5*p - 4*j + 60 + 66 = 122 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32278.\nAnswer: 2, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 67880.385ms?\nAnswer: 0.0188556625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 176344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h, -5*d - h = -21 + 9. Solve 0 = 4*z - d*k + 2, 0 = 4*z - 0*k + 5*k + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 80 = 5*t - 256, 2*t - 116 = -3*y. Let g = t + -60. Suppose g*m - m = 24. Calculate the smallest common multiple of m and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 394080762 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 7, b: 2}. Give prob of picking 1 w and 2 l.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 2 - 2)*(2 - 5 + 2 + (-1 + 2 + 1)*(-6 - 1 + 4) + 0 + 4 + 2)*(-4 + j + 4) as c*j + m*j**2 + y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 = -5. Suppose -2*b + 235 = 3*o + n*b, 2*o + 3*b = 158. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -5)*2 - -2. Solve -3*o + r + 9 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*u + 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 + 29*d + 225. Let n be g(15). Calculate the greatest common divisor of n and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1655 - 3296 + 1641 + 27*v.\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15237, -15230, -15211, -15174, -15113, -15022, -14895, -14726?\nAnswer: -14509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2198 - -2198.2. Which is greater: m or 2623\/2?\nAnswer: 2623\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8091\/(-217) + 4\/14. Which is bigger: c or -151\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 33*q = 50*q - 1696. Solve 70*j - q*j - 324 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085531 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38428?\nAnswer: 2, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. What is the derivative of -g - k + 1 + 4 - k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 86, 94, 102, 110, 118?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38*(-24)\/(-80)*1*55\/33.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-3*sqrt(440))\/(sqrt(10)*-1*-4) - (-4*3*sqrt(176))\/((sqrt(120)\/sqrt(5))\/sqrt(6)))**2.\nAnswer: 35739\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:19 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*v + 279774 + 9900 = 0. Let a = v - -12499. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72.41 < 0.0251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)*n*n*n*n**(2\/15))\/(n*n*n\/n**14)**(-1\/4) assuming n is positive.\nAnswer: n**(29\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 82 - 33 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1872)*-2)**2 + 0 + sqrt(1872))*5 + 5.\nAnswer: 60*sqrt(13) + 37448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/37, 41708\/81, -4, 3, 4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, 5, -5 in descending order.\nAnswer: 13, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*h - 29941, 3908 = r + 5*h - 6059. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*36\/8. Suppose -4*w + 80 = w - 4*m, 0 = 5*w - p*m - 85. What is the highest common divisor of 40 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.74 - 3.74. What is the nearest to 1\/2 in t, 13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 104 in ascending order.\nAnswer: -5, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03395707 rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9583 and 1904?\nAnswer: 2606576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*o + 976 = 46*o. Suppose -5 = -2*r + r. Sort o, r, -2, -1 in descending order.\nAnswer: r, -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/51 + ((-304)\/(-24) - 12)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*a + 2*r, -41*a = -40*a + 4*r + 43 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4.3. Which is the third biggest value? (a) h (b) -2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126916158*a**2 + 40*a**3 + 126916158*a**2.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l - 7. Let z be c(4). Let m = z - -53. What is the highest common factor of m and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 j when three letters picked without replacement from gjjjgjjjjjjg.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2007444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let d(l) = -77*l + 3. Give -2*d(m) + 18*j(m).\nAnswer: 172*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 800957005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -3289*g**3 - 3*g**2\/2 - 1346*g - 29. What is the second derivative of n(x) wrt x?\nAnswer: -19734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/6)\/((-5588)\/(-2794)))\/(29\/2)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l + 4*w - 14 = 0, 3*w + 33 = -5*l. Let i be ((-9)\/30)\/(l\/55)*4. Solve 0 = -5*x + 25, -n + x - i = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12251 + 1a?\nAnswer: -12233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 913 + 6?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(297)*2)\/sqrt(11) + ((1*(0 + sqrt(27)))**2 - (sqrt(27)*-1)**2*4)).\nAnswer: -48*sqrt(3) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 34*k**2 + 435*k - 915. Let c(t) = 8*t**2 + 109*t - 229. Let d(z) = 26*c(z) - 6*o(z). Factor d(l).\nAnswer: 4*(l - 2)*(l + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687434 is divided by 178?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 126393 (b) 3 (c) 0 (d) -1\/3 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 1, z: 1, r: 2, g: 1}. Give prob of picking 1 z, 1 j, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -131. Let a be (j\/(-30))\/(2*(-1)\/4). Let m(g) = g**2 - 5*g + 3. What is m(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5739.27 to the nearest ten.\nAnswer: -5740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**3 + 16*s. Let x(c) = -6*c**3 + 5*c**3 - 6*c + 5*c. Let y(m) = n(m) + 4*x(m). Find the second derivative of y(k) wrt k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2 + 30480*b - 30484 = 0.\nAnswer: -7621, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 1737.\nAnswer: -64\/1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 12:03 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 675*a - 40. Let p be r(5). Suppose 3*t - 5549 = -5*n, -p = 5*n - 8*n + t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147\/23 + -1272\/253. What is the common denominator of -5\/7 and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8915\/2 + 4458. Solve 1\/4*m + z - 1\/2*m**2 - 1\/4*m**3 = 0 for m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 8:02 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:42 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 e, and 1 b when three letters picked without replacement from {b: 3, m: 4, s: 4, k: 3, e: 5}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y**2 + 3*y - 3. Let g(c) = -2*c + 2. Let v(q) = 2*g(q) + 3*l(q). Let o(a) = 9*a**2 - 2*a + 2. Calculate 11*o(b) + 4*v(b).\nAnswer: -9*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -192, -478, 3 in descending order.\nAnswer: 5, 3, 2, -192, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -4.057 (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 3. Let i = 9 + -7. Let l be k(i). Let j = -1 - -1. Sort 5, l, j in descending order.\nAnswer: 5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-15)\/((x**6\/x)\/x)*x**(-15)*x*x*x**10 assuming x is positive.\nAnswer: x**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 4. Let q be x(3). Let t be (0\/2)\/(-1)*q. Solve 2*r + r + 12 = t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 10:56 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 908 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 + -1.7. Let h = k - -7.1. Is h not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 575 + -311. Let j = 6 + 18. What is the highest common factor of j and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -144 (b) -0.37 (c) -1.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, z: 8, a: 2}. Give prob of sequence zzgz.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -20*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216104041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 996607 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 7*r**2 + 6*r - 5. Let o(t) = t**2 + 9*t + 5. Let v(y) = y - 1. Let l(u) = o(u) - 2*v(u). Let k be l(-7). Is a(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.7977315us in weeks?\nAnswer: 0.00000000021957296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -1096103?\nAnswer: 75\/1096103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2 - 0. Suppose -4*n + 20 = -p*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 61. Suppose 5*k = 3*x - 39, 2*x - 2*k - 11 = d. What is the least common multiple of 10 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -29 + (0 - (-11 - -18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*z**2 + 2*z + 2*z**4 + 5 - 90*z**2 - z**3 - 4*z to u*z + m*z**4 + k*z**2 + w + g*z**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107168, -107101, -106988, -106829, -106624, -106373, -106076?\nAnswer: -105733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 886374 + -386374. Round x to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379846513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4830*q**3 - 2307*q**3 - 2535*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17347237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -45*r - 1164. Suppose 278 - 26 = t. Calculate the remainder when t is divided by a(-27).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/2))**(-42)*(c\/(c\/c**4)*c)**(-3) assuming c is positive.\nAnswer: c**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000041 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, n: 2, q: 7, l: 7}. What is prob of sequence nl?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) -0.02 (c) -0.0145 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 861. Let n(u) = u**2 - 18*u. Calculate n(r(z)).\nAnswer: 9*z**2 - 5112*z + 725823","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1997338 is divided by 159?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**(-16)\/(j\/j**(-2)*(j**(-2\/11)\/j)\/j))\/((j**(-1\/3))**(-2\/9)\/((j*j\/(j**(2\/9)\/j))\/(j**(-2\/3)*j))) assuming j is positive.\nAnswer: j**(-1123\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*((-1 + (-1*sqrt(612) - sqrt(612) - sqrt(612)) + sqrt(612) - (1 + -1 + sqrt(612)))*-5 + -2 + -2))**2.\nAnswer: 8640*sqrt(17) + 4957264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let p(b) be the second derivative of -b**3\/6 + b**2\/2 + 11*b. Give p(h) - 5*w(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 14*d - 17. Determine g(15).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59356?\nAnswer: 2, 11, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -68. Let w be 78\/104*(-40)\/6. Is (-592)\/p*w\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(612))*3 - 5*(sqrt(612) - 3*sqrt(612)))**2.\nAnswer: 103428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24266229 rounded to the nearest ten thousand?\nAnswer: 24270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -483*h**3*k**3 - h**3*k - 2*h**3 - 3*k**4 + k wrt k?\nAnswer: -2898*h**3*k - 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -255396*q**2 + 255390*q - 2. What is i(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -282, -0.3, 7\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 361 = 5*i. Suppose -i*h - 826 + 8806 = 0. List the prime factors of h.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 11*z + 23 - 10 - 8.\nAnswer: 11*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -629, -671, -685, -653, -557?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 80\/61?\nAnswer: 80\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2367.11 to the nearest 10.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:08 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 11) to base 14.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 + 6*j**2 + 2*j. Let m(y) = 3*y**3 - 6*y**2 - 2*y. What is 4*g(p) + 3*m(p)?\nAnswer: -3*p**3 + 6*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*x - 6, -4*i + 0 + 1 = -5*x. Let f be 3*((-4)\/32 - (-244)\/1440). Are x and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*h - 5*h = 10, 5*h = o - 30. Suppose l - 20 = 5*l. Which is the smallest value? (a) l (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z + 196. Let q = z + 85. Let d be (-8)\/(-10) + q\/(-45). Solve 7*m - 2*m - 5 = d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264698889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 5) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122226 - 4?\nAnswer: 122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d444b (base 14) to base 6.\nAnswer: -14542455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 635 = -85. Is 10 a factor of 2\/9 + (-2848)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 22335875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/((-3)\/(-2214)). Let a be 1\/2 + (-10374)\/28. Is w != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -8. Let v = -29\/52 - -3\/52. Put p, v, -5, 2\/3 in ascending order.\nAnswer: -5, p, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 383*-205800.\nAnswer: -78821400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 3 (c) 2\/9 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 22. Let r(l) = -l**2 - 8*l - 2. Let o be r(s). Solve -10 = -5*c + 4*j, -o*c - j = 4 - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5079286, 5079285, 5079284?\n\"Answer: -z + 5079287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/24 - 3*l**2\/2 - l. Let t(g) be the first derivative of i(g). Give t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15074784 and 2720?\nAnswer: 75373920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 36. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*g - 60, 2*g + 18 = 2*z - 3*g. Let p be 428\/(-20) - (-2)\/5. Let v = p - -48. What is the remainder when v is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 (base 6) in base 3?\nAnswer: 201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6391652.\nAnswer: 2, 1597913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1115025 (base 7) to base 5\nAnswer: -13413331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 61?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12062599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 230*o**2*p + 5*o**2*u - 20*o*p - 5*p*u + 4*u - 2 wrt u?\nAnswer: 5*o**2 - 5*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37842, -85053, -132264, -179475, -226686, -273897?\nAnswer: -321108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/9 and 34\/675?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 189905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 18*y**2 - 131*y - 74. Determine o(-6).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*x - 14. Suppose 0 = 3*g - 4*c - 16, g - 3*c - x = -2. What is the first derivative of -4 - m**g + 3*m**4 + 2*m**4 wrt m?\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 695 by 4.\nAnswer: 695\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257830801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 27 - 1363*j - 14.\nAnswer: -1363*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i - 4*t, 0*i - 5*i - 110 = -t. Let o = i + 20. Let s(u) = -2*u**2. Let m be s(o). Which is smaller: -3\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 9*l**2 + 6*l - 11. Let v = 13 + -21. Let z be a(v). Suppose -239 - 91 = -z*r. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 54*p**2 + 52 - 836*p - 5*p**3 + 98 + 4*p**3 + 1039*p + 2*p**3 = 0.\nAnswer: -50, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.4, -1, 0.052, 14, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -51, -60, -71?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 206*f**5 - 29*f**3\/6 + 7*f**2\/2 - 28*f - 70. What is the second derivative of j(z) wrt z?\nAnswer: 24720*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 945 + -939. Solve -6*q - g + 1 = -9*q, 2*q - r = 4*g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-187782)\/(-13413)*10\/2*1\/2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - 78*f + 4*f**4 - 3*f**4 + 204 - 107 - 98 in the form v*f**2 + d*f + k*f**4 + n*f**3 + g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -403, -417, -435, -457?\n\"Answer: -2*s**2 - 8*s - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1402*q + 2916 = 1514 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 7:18 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 5*q**2 - 3*q + 2. Let w be n(6). Let r be 3 - 0 - (2 + -1). Let v be 0\/r + w\/35. Which is the biggest value? (a) v (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9473420?\nAnswer: 2, 5, 11, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t - 6 + 6 + (0*t - 3*t - 4*t)*(2 - 2 - 3) + 5*t + 0*t - 4*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(13) + 0.\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16000*d**5 - 17697*d**2 + 2*d + 2 wrt d.\nAnswer: -960000*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11055, 22114, 33173, 44232?\nAnswer: 55291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524 - 350 = 29*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 13. Suppose -4*v - v + 69 = -3*p, 65 = y*v - 5*p. Suppose 11*x + 12 = v*x. Solve 0*g + w = x*g - 6, w = -2*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 351*j**2 - 65*j - 65. Let t(m) = 262*m**2 - 4*m - 90*m**2 + 2*m - 2 - 86*m**2 - 75*m**2. What is 4*d(z) - 130*t(z)?\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100 or -6826\/69?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:17 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 1. Let a(x) be the third derivative of x**6\/120 - x**5\/60 - x**4\/12 + x**3\/3 + 412*x**2. Give -a(l) - 2*f(l).\nAnswer: -l**3 + l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 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 2*k + 4*s + 304 = 2*s, -5*s - 136 = k. Let n = k + 247. Suppose -5*t - 70 = -5*j, -j + 2*t = -2 - 13. What is the greatest common factor of j and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*y = 2*w + 252*y + 235*y - 25, -9*y + 15 = -2*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07 and -0.139079?\nAnswer: 0.209079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -617\/4 - -3179\/20. Calculate the common denominator of 183\/(-9) + 3\/18 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -3*l**4\/2 - 5*l**3\/3 - 2*l**2 - 7*l - 6. Calculate the remainder when s(-3) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 382\/125 or 2?\nAnswer: 382\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z + 1902. Is -1 - (3 + -4)*z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (296\/28)\/((-2648)\/(-9268))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + h**2 - h - 6. Suppose -11 = g - 4*g + 4*s, 4*s = g - 9. Suppose 5*j + 5 = 4*d, 3*d = -3*j + g - 4. Calculate y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 g, and 1 l when four letters picked without replacement from jfdjpljdjjjglpljd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6321019.\nAnswer: 109, 57991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/168)\/(8\/16)*4.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 84. Let a be (-8)\/(-36) - (-426)\/27. Suppose -k*d = -d - a. Solve g = -d*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**2 + 40*q + 51. What is the tens digit of y(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175837 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from erererrrieiereerrir.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + x - 23078, 97*x - 7686 = -v + 98*x. What are the prime factors of v?\nAnswer: 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 3220.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3983 + -2506. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 69 = v, 0 = -89*m + 127*m + 4*v - 304 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(19\/4)\/(t\/(t*t**3*t)))\/(t\/(t\/(t*t**4*t))*t*t*t**(-19)))**(-2\/9) assuming t is positive.\nAnswer: t**(-79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 8*m**2 - 7*m - 10. Let r(s) = 3*s - 7. Let a be r(15). Let l = a + -33. Suppose -l*p + 0*p = -45. Calculate z(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g. Let n be x(1). Find the first derivative of 3*v**3 - v**3 - 1 - v**n - 1 wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 6. Let s be o(6). Suppose -4448 = -17*v + s*v. Is v\/(-22) + (-12)\/66 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188600 rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00076233 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 2. Let b be a(-2). Let f be 3 - 5 - (-7 - b). Suppose -1 - 4 = -f*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 13 + 31. Let r(x) = -x**2 - 6*x + 8. Let z be r(v). Let f(w) = w - 5. Let c be f(z). Solve 2*l = c*o - 6*o - 9, 3*o - 5*l = -30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - 18 - -30?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 7*j**2 - 10*j - 9. Let w be o(-6). Suppose -4*d - 11 + 79 = 4*n, -66 = -4*n - 3*d. Calculate the highest common divisor of n and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 5*u + 5. Let z be i(-3). Suppose 0 = 3*n + 6, 2*h - 4*n = -z*n + 244. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i. Suppose -111 = 5*w + q + 52, 0 = -3*w + q - 93. Let t = 36 + w. Let p(h) = -4 + t*h**2 - h**2 + 4. Determine j(p(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -313, -1121, -2741, -5455?\nAnswer: -9545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 4*a. Let o = -934 - -929. Let f(n) = 3*n**2 + 7*n. What is o*g(x) + 3*f(x)?\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*v - 22 = 0, 947*v + 948*v + 26 = 3*q + 1900*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**4)\/i)\/(i\/(i*i**1)))\/(i\/(i\/(i\/(i\/i**0))*i)*i*i**(-5)) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**3 + 5*y**3 + 0*y**3)*(-126 + 0 + 6)*(-2*y - 6*y + 0*y) as x*y**3 + h*y + f*y**2 + v*y**4 + s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u + 348. Calculate a(-16).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275559923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 12. Let c(j) = j + 1. Let i(x) = -b(x) + 2*c(x). Let o be i(11). What is the third smallest value in -1\/2, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-13 - -14)) + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233153 is divided by 154?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 701843, 1403678, 2105509, 2807336?\nAnswer: 3509159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2. Let c(n) = 7*n + 9. Determine c(g(p)).\nAnswer: -14*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13*g**3 - 11*g**2 + 17*g + 11. Let k(x) = -3*x**3 - 3*x**2 + 4*x + 3. Let p(m) = -9*k(m) + 2*r(m). List the prime factors of p(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, -4, 13, 27, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*z**6 + 52*z**2.\nAnswer: 14040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(0\/3 - 1). Suppose 5*w - h*x = -0*x - 25, 0 = 4*w - x + 11. Calculate the remainder when 10 is divided by (1 - -2)\/(w\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1602 less than 259151006?\nAnswer: 259151005.8398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4 = 2*o, -2*a + 4*a + 5*o - 26 = 0. Suppose -a*r + r + 6 = 0. Suppose -3*f + r*w + 36 = 0, 5*w - 93 + 23 = -5*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-1026)\/143) + (-281)\/((-134037)\/212)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (10 - 16 - 7 - -28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18\/5)*p**(-1\/9))\/(p**(2\/25)\/p**3) assuming p is positive.\nAnswer: p**(-178\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33447 = -8*b + 1121. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23014 - -160712\/7. Let z = 55 + a. Put -0.03, z, 2 in increasing order.\nAnswer: z, -0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 9:52 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(1*6)\/((45\/(-2))\/(-3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.2. Let b be ((-3)\/(-3*4))\/((-3)\/(-9)). What is the second smallest value in 2\/3, b, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*n - 254*n = -135*n - 81 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -7 (c) 0.5 (d) -18 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 12:53 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**2\/2 + 2*j - 1. Let c be f(0). Solve 2*i + c = 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3 + 28)*(-3 + 23 + 31)*(-4*v**3 + 2*v**4 + 4*v**3).\nAnswer: 3774*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 589260 and 7728?\nAnswer: 2357040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8816 divided by 5.\nAnswer: -8816\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 - (-30)\/8. Let l = 14 + -22. Let d be 1\/(-4) - 2\/l. Solve k - v*i = -1, -2*k + 3*i + d = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1012, -1014, -1016, -1018, -1020, -1022?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 (base 11) in base 9?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 28*f + 110 + 1 - 112. Calculate t(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*d**3 + 2*d**5 + 0*d**2 - 10\/3*d**4 + 0 + 0*d.\nAnswer: 2*d**3*(d - 2)*(3*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t = 129*t - 1233720. What is t rounded to the nearest 100?\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus -0.11?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 42 = -62. Let a be (4 - s\/(-7))*7. Let k = 43 + a. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -84, -123, -164?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 466191 and 7667.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3899301 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**5\/20 - 5*o**4\/12 - o**3\/2 + 7*o**2\/2 - 2*o. Let h be k(-5). What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 655 and 55?\nAnswer: 7205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 314 = -o - 338, -806 = 5*l - o. Calculate the remainder when 2 - (6 + l - 5) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away -0.0081?\nAnswer: -6.9919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*d - 84*d = 3*f - 522, 714 = 4*d - 5*f. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -18*s. Let v(z) = -112188*z**2. What is u(v(g))?\nAnswer: 2019384*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71442 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:47 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/100 or 0.2?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express z + z - 3*z in the form m + n*z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -17208?\nAnswer: 17212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11600, 46385, 104360, 185525, 289880?\nAnswer: 417425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l + 16. Let w be d(-3). List the prime factors of ((-79 + 4)\/w)\/((-1)\/(-3)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-10)\/(-66))\/(895\/(-537))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - -1248799?\nAnswer: 1248778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/24 in -2\/985, -1, -4, 6\/11, 0.1?\nAnswer: -2\/985","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k**2\/7 - 148*k\/7 = 0. What is k?\nAnswer: 0, 37\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/5 - 10706*i**4\/5 + 408498*i**3 - 99735454*i**2\/5 + 366947672*i\/5 = 0. Calculate i.\nAnswer: -5539, 0, 4, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9834, -9836, -9838?\nAnswer: -9840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Rearrange (3*v + 2*v - 4*v)*(-136*v**3 + 1555*v**2 + 68*v**3 + 67*v**3) to k*v + j*v**2 + n + b*v**3 + r*v**4 and give b.\nAnswer: 1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -45*v - 11. Let y(d) = -7*d + 2. Let z be 1\/((2\/(-4))\/(3\/3)). Let k(q) = -6*q + 4. Let i(u) = z*k(u) + 3*y(u). Give -2*c(f) + 11*i(f).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 0*j + 0*j - 3 + 3*j + 1. Give c(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*m - 1076 - 814 = 0 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1621282 (base 10) to base 13\nAnswer: 449c50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -296*q + 57. Let a(d) = 352*d - 58. Calculate -6*a(y) - 7*g(y).\nAnswer: -40*y - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.5, -4\/213, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 25\/3. Let y = 4.4 + -4. Let j = y + -0.9. What is the closest to w in j, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to -640\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 410431212034?\nAnswer: 410431212033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - (-24)\/8)\/5. Which is the biggest value? (a) 3 (b) -3 (c) w (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -45. Let d = -3185 + 3155.042. Let c = s + d. What is c rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-460544)\/384)\/((-1)\/(1*36))?\nAnswer: 2, 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-156)\/(-15)*(-315)\/(-42). Suppose m + 35 = 2*f + 5*u, -3*u + 3 = 0. 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: -7 times 141121.01\nAnswer: -987847.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab4a (base 12) in base 4?\nAnswer: -10213222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/h**(-1\/7)*h)\/h)\/(h**5\/h)*(h**1)**(5\/8))**(5\/3))**(-25) assuming h is positive.\nAnswer: h**(2875\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x + 256*x**2 - 13*x + 6*x + 2 in the form m*x + a + i*x**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5776 less than 5784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -2*x - 42. Let i(y) = -y**3 + 5*y**2 + 2*y - 5. Let q be i(x). Let o = -15 + q. What is the fourth biggest value in 0.1, 5\/6, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-216))\/((-2)\/(-16)). Put 5, f, 0.2, 3\/8 in descending order.\nAnswer: 5, f, 3\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c**2 - 37*c**2 - 2*c - 14*c**2 - 4*c**2 to the form t*c**2 + s*c + a and give t.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -986 - -1413. Let m = c - 423. Solve 0 = -3*s + m*h + 7, -4*h - 1 = -s - 3*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -1, 0 in descending order.\nAnswer: 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11343 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -55. Sort -4, r, -0.5, 0.2 in ascending order.\nAnswer: -4, -0.5, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4212 + -2532. Is 70 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 114*m**2 - 90*m + 508. List the prime factors of f(6).\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 1. Let d(s) = -4*s**3 - 456*s**2 + 920*s - 468. Let f(k) = -d(k) + 4*i(k). Factor f(l).\nAnswer: 4*(l - 1)**2*(l + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540028262 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*-2*-1 + 4*(-1*sqrt(1584) - sqrt(1584)) - (5 + sqrt(1584)*-1 + 0)*4) + 0)**2*4.\nAnswer: 3840*sqrt(11) + 26944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 65?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iipeekekekkekikpk. Give prob of picking 2 i.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = z + 16*p - 3, 4*p = 4*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 2*q + 3. Let n be f(3). Solve 3*v + u + 8 = n*u, 4*v = -4*u + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5846975.\nAnswer: 5, 233879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*36\/27 + -6. Sort 125, -5, o, 2 in descending order.\nAnswer: 125, 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110201430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 2. Let k be m(1). Factor s**2 - s**2 - 3 + 3*s**2 - 3*s + 3*s**k + 0*s**3.\nAnswer: 3*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8506, -8516, -8526, -8536, -8546, -8556?\nAnswer: -8566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10857634 and 5246?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-seven fifths of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 6:45 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-228)\/57*(-19)\/6*(-3)\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 155*m**3 - 1035*m**2 + 925*m. Let t(x) = 7*x**3 - 47*x**2 + 42*x. Let w(o) = -2*f(o) + 45*t(o). Solve w(a) = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 957.2?\nAnswer: 2871.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 9:34 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 265.0940479416 and 1?\nAnswer: 264.0940479416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2*f**2 - f**2)*(-f - f - f)*(5*f**2 + 7*f**2 - 5*f**2 + f**2 + 0 + 0 + (4*f + 0*f - 2*f)*(-2*f + 3*f + f)).\nAnswer: 180*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10620 and 24780.\nAnswer: 74340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = n - 1, -6*n + 4 = 2*u - 2*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/67 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (8 + (15 - 17))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 + 1361\nAnswer: 1361.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 420266565 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2. Suppose 0 = r + 5 - 10. Let q be r*1\/((-10)\/204). Let h(z) = -3*z - 102. Let l(u) = 6. Let c(k) = q*l(k) - 6*h(k). Give p(c(x)).\nAnswer: 324*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 764477 (base 9) in base 3?\nAnswer: 212011112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121211102 - -20121010?\nAnswer: -1101020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 80. Suppose 38 - 101 = -z*u. Suppose 0 = -5*s + 3*r + u, -4*s = -2*r + 7*r - 2. What is the least common multiple of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*(sqrt(1008) - (sqrt(1008) + 0 + sqrt(1008))) - (4 + sqrt(1008) + 1)) + 2)**2*3.\nAnswer: -20736*sqrt(7) + 775116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-14) + 0)*7. Suppose -5*m - 6*i = -i + 90, q*i = -4*m - 67. Does 9 divide ((-3)\/2)\/(m\/546)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -3*i - 114. Suppose 150 = i*n - 4*k, -6 - 6 = 4*k. Calculate the highest common divisor of 253 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6488, -13140, -19688, -26126, -32448, -38648, -44720, -50658?\nAnswer: -56456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 197? (a) -0.2 (b) 0.5 (c) 2\/15 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2 + (81\/13)\/3). Suppose -2*x = 3*s - 86 + 5, x - u = 4*s. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2129 + -2133. Put 0.736, -0.4, 1\/2, a in increasing order.\nAnswer: a, -0.4, 1\/2, 0.736","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*u + 26847 - 27999 = 0 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 42433\nAnswer: 4\/42433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*z - 29 = 2*x, 5*x - 10 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w + 0*w**2 - 1\/12*w**4 - 4 + 1\/3*w**3 + 19\/20*w**5. Find the third derivative of t(m) wrt m.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27518, -214919, -722074, -1708859, -3335150?\n\"Answer: -26646*w**3 - w**2 - 876*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*j - 38, 0*p - 2*p - 50 = -3*j. Calculate the remainder when 53 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: baa (base 15) to base 16\nAnswer: a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59, -13, 33, 79, 125?\n\"Answer: 46*k - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - f**2. Let j(o) = -3*o**2 - 6*o - 4. Let i(s) = b(s) + j(s). What is the units digit of i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, v: 1, g: 2, k: 4}. Give prob of sequence gwwk.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -c - 4*v + 3, 4*v - 8 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.1, -18, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = k + 82. Suppose -7*l + k = -19*l. List the prime factors of (164\/8 - -3)\/((-4)\/l).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**(20\/3))**(-39\/4) assuming l is positive.\nAnswer: l**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-368)\/(-1748) + (-1391)\/19. Let t be -2 - (3*24 - -2). Is f > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from abaenneaennapae?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -34*r + 39*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006099541 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5488 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -224, -513, -930, -1481, -2172?\nAnswer: -3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 715736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10*g**2 + 2314*g - 19942. Let k(b) = 2*b**2 - 466*b + 3989. Let o(f) = 3*c(f) + 14*k(f). Solve o(x) = 0 for x.\nAnswer: 10, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-3 - -5) + -6 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -699411367 by -36301.\nAnswer: 19267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 4 - (36 - 35)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*k + 20, 2*x - 5*x - 4*k + 20 = 0. Suppose 3 = c - x. Solve d = c*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-29)\/((-22533)\/(-370))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60392\/15 + 4023. Calculate the common denominator of h and -2 - ((-663)\/(-90) + -2 + -4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + -87 + (-2 - -7) + 115 + -13?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 31*s - 15. Suppose 189*t - 187*t = -32. Does 13 divide n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/(4\/48). Let k = p - 3. Let z = 15 + k. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -23. Let q = -41 + 47. Let d(u) = u**3 - 5*u**2 - 6*u + 5. Calculate the remainder when w is divided by d(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212 by 13.\nAnswer: -212\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t + 38. Let f be q(7). Suppose -a + 135 = h, -f = -a - h + 4*h. Is a at most 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 57828352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -836 + 8321\/10. Let i be (-12)\/(-18)*84\/(-2). Calculate the common denominator of m and (-22)\/i - 1\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2936*k**2 - 9*k - 10. Is d(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 485*z + 1952. Determine g(-489).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 25*t - 4. Let x(m) = 623*m - 117. Let l(o) = 39237*o - 7366. Let z(w) = -6*l(w) + 377*x(w). Give -87*u(q) - 4*z(q).\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118446 = 4*l + 5*z, 19*l - 20*l + 29595 = 4*z. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 5*q**2 + q + 3. Let w be b(-6). Let r be (11\/w)\/((-2)\/138). Let l = r - -39. Solve -3*p = -l + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 16, 21, 10, -23?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -493225 (base 10) to base 11\nAnswer: -307627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -140.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -10, -25, -56, -109, -190?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2. Let o(y) = -1. Let b(k) = -5*k - 9. Let j(r) = 2*b(r) - 18*o(r). Determine j(z(w)).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -169?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 24*n - 29*n. Suppose 26*g**2 - n*g**5 + 8*g**4 - 26*g**2 - 6*g**3 = 0. Calculate g.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 6*n + 10. Let l be r(6). Suppose -l*f = -5*f - 95. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - g - 2 = 0, r + 19*g - 26 = 22*g. Solve -15 = 2*x + 5*d, -r - 4 = -3*x + 2*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**5\/270 - j**4\/3 + 3*j**2 + 13. Factor w(p).\nAnswer: -2*p*(p + 36)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87088634 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2191, 0, 4, 5, -3?\nAnswer: -2191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*k - 101*k + 22*k)*(9 - 3 + 3).\nAnswer: -1494*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + (sqrt(19) - sqrt(76)*3 - ((sqrt(19) - (sqrt(19) + 0)) + 0)))*4)**2 + -5.\nAnswer: 7200*sqrt(19) + 71995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) 3 (d) 1\/8 (e) -1\/4 (f) -59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r - 470. Determine h(46).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + sqrt(612) - sqrt(17)) + (sqrt(2448) + -3)**2 + sqrt(17)).\nAnswer: -132*sqrt(17) + 4920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 39*a - 41. Let d be s(40). Let c be ((-5)\/1 - -2) + d + 4. Suppose -2*x + 29 = -1. Solve c = -2*i - x + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 921, 3841, 8711, 15531, 24301, 35021, 47691?\nAnswer: 62311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -55, -168, -389, -754, -1299, -2060?\nAnswer: -3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6111, 7175, 8239, 9303, 10367?\n\"Answer: 1064*w + 5047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30\/13211 in 3, -3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**5\/3 - 547*f**4\/3 + 7984*f**3\/3 - 1708*f**2\/3 - 223040*f\/3 - 212800\/3 = 0.\nAnswer: -4, -1, 10, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122268.\nAnswer: 2, 3, 23, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 5, -0.02, -0.2, 142.8, -1\/44, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-284)\/(-52) + 6 + -11. Factor -2\/13*d**4 + m*d**2 + 4\/13*d + 0 + 0*d**3.\nAnswer: -2*d*(d - 2)*(d + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 5:11 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -117584628 divided by -39194876?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -27. Let w be 3\/(-4)*(11 - z). Which is greater: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16549570 to the nearest integer?\nAnswer: 4068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*b + 7385 = -387*b. Round b to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377 divided by 377?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 3*n - 3. Suppose -2*d + 4*d + 4 = 0. Let f be t(d). Let o be (f\/4)\/((-10)\/40). Solve 0*z + 10 = -z - o*m, -4*z = -4*m - 32 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7 - 5287 - -4)*(-14)\/56 is divided by 436.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2001279 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(5\/2))\/q*q**(-1\/4)*(q*q**(-1\/7)*q)**(-48) assuming q is positive.\nAnswer: q**(-2573\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = -32*o + 27*o, 0 = -5*h - o + 39. Solve h*z + 10 = 10*z, 2*d = -5*z + 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -324 - d - 326 + 973 - 323. Let a(g) = 1899*g**2. Calculate x(a(s)).\nAnswer: -1899*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:02 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 12*p. Let b be o(-12). Let c = b + 4. What is the units digit of (-1*9)\/(3 - c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, u: 1}. Give prob of sequence zu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40\/285*((-2)\/(-6) + 24\/(-288))\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4*c + 35*c + 43*c.\nAnswer: 74*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(72\/384) + -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 264478*x**3 + 1779*x**2 - 593*x - 1186. Let v(t) = -1787*t**3 - 12*t**2 + 4*t + 8. What is -593*v(f) - 4*z(f)?\nAnswer: 1779*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.77 less than 10344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -17 (c) 24.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 r when four letters picked without replacement from rxxrxrxxrxx.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-4326))\/(5\/(-20)). Let b = w - 6457\/11536. What is the common denominator of b and 33\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(5200) - (sqrt(5200) + 0)**2*1 - (5 + 1*sqrt(5200) + sqrt(5200))).\nAnswer: -26025 - 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66 + (-2 + 1 - 2). Let k = y + -63. Suppose -3*w - 84 = -2*m - 2*w, k = -m + w + 41. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -152, -146?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o + 537. Let k be u(-33). Which is the nearest to 2? (a) -4 (b) 5 (c) k (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 8:12 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22529?\nAnswer: 13, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-220)*4\/((-16)\/(-5))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-1152)\/(-80))\/(-36).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 263716 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5804950 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 266*i + 2*i**4 + 4*i**2 - 266*i - 3*i**3 as x*i + y*i**4 + t*i**3 + q + k*i**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 1142343?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/2 + 3. Let n = 0.1289 + 0.8711. Let o be 47\/90 - (-4)\/(-18). Which is the second smallest value? (a) n (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:13 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10268 = 10*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -2, -8, -5, 358 in increasing order.\nAnswer: -55, -8, -5, -2, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -8*d - 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 + -25. Let b = 906146421.2 + -906146311.19999869. Let a = g + b. Round a to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 6)*16\/(-6). Let j = 25 - 19. Calculate the smallest common multiple of (-4)\/((k\/6)\/(-4)) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - (sqrt(306)*-3 - sqrt(306)) - sqrt(68)\/(sqrt(32) - sqrt(2)))\/((sqrt(12)\/sqrt(2)*-3)\/((sqrt(3)*2 - sqrt(3))*-1))*-1.\nAnswer: -38*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 432.8 + -433. Let h = 2 + -1.95. Let v = -1.05 + h. Sort w, v, -0.1 in ascending order.\nAnswer: v, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 6:38 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 30 = 2. Let o(k) = -k**2 + 7*k - 5. What is o(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5332642 (base 8) to base 2\nAnswer: -101011011010110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000227643 rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -680.2 + 680. Sort -0.1, n, 4\/7, 0.2.\nAnswer: n, -0.1, 0.2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 40137277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**2 + 6*h - 127. What is w(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + w**2 - w. Suppose -33*v + 101*v - 5 = -73. Let t(i) = 2*i**3 + i**2. Determine v*t(m) + o(m).\nAnswer: -m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*s**2\/9 + 158*s\/9 + 28\/9.\nAnswer: 2*(s + 7)*(11*s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 44*w**2 + w - 40. Calculate the remainder when 72 is divided by j(44).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 7. Let j(s) = 8*s**3 + 1. Give j(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.5 - 7. Let i = -0.2 - x. What is the nearest to -1\/4 in i, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-5.8\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**11*d**(-3\/16) assuming d is positive.\nAnswer: d**(173\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + -1 + 93 - 84.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 11*z**6\/6 + 3*z**4\/2 + 115*z**2\/2 + 290. Find the second derivative of c(v) wrt v.\nAnswer: 220*v**3 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(48)\/sqrt(2))\/sqrt(12) + -6*(sqrt(288) + 1).\nAnswer: -75*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = p - 5*d, p - 3*p + 4*d = -24. Solve 0 = -q + p*q + 15, -3 = 2*j + q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0484462*-3\nAnswer: -0.1453386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, y: 2, m: 2}. Give prob of picking 2 v.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 149008243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*a**3 + a**4 - 17*a**3 + 0*a**4 - 4*a**2 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 645284967.\nAnswer: 645284970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153363 is divided by 379.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 + 50*d**4 + 2 + 2*d + 0*d**3 - 53*d**4 as h*d**4 + r*d + b + f*d**2 + q*d**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(243) + 1) - (sqrt(12)\/(1*sqrt(4)*1))**2.\nAnswer: 1 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9 - (5 + -10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**2 - 11*d + 4. Let u(v) = -v**2 + 20*v - 92. Let s be u(12). Is t(s) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 24 + 11. Solve -k*l = -1 - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) -4 (b) -1\/3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 71*o - 325. Let j be s(66). Solve j - 8 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -23 - (-46 + 28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-2736)\/38)*172?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(35\/(-1220))*(-3)\/(-4). Let z = t - -2010\/11. Let m = -0.4 + 1.4. What is the second smallest value in z, m, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14747411 + 12.02747.\nAnswer: -14747398.97253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 13*o - 2. Let m be v(12). Suppose b - 50 = -4*b. Calculate the smallest common multiple of 3 - (m - (0 - 1)) and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15256*t**3 + 30515*t**3 - 15261*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, s: 1, t: 7}. What is prob of picking 4 l?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101101111101 (base 2) to base 8.\nAnswer: -35575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347791 - 2434521\/7. Find i such that -r*i**2 + 2\/7*i**5 + 4\/7*i**4 + 32\/7 - 22\/7*i**3 + 40\/7*i = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.28 - 17. Let k = i - 0.280007. What is k rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*r - 15, -5*o + 3*r - 9 = -2*o. Suppose o = 8*h + 9*h - 1105. Is h a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20343578 bigger than -20343577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 23 = -2. Suppose -2*g - o = p, 0*g = -5*g - o - 8. Suppose -5*k + 12 - 2 = 0. Is k < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1894*c - 1936*c - 42. Sort -150, 2, c, -2 in decreasing order.\nAnswer: 2, c, -2, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14152 >= 1\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n + 29. Give z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**2 + i + 1 + 438*i**3 - 440*i**3 - 7*i**2 + 2*i**4 as u*i**3 + q*i**4 + x*i**2 + z*i + v and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, -14, -48, -120, -242, -426, -684?\n\"Answer: -2*w**3 - w**2 + 9*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(3*o**5 + o**5 - 2*o**5) + 3*o**5 + 2*o**5 - 3*o**5 - 9985*o + 9985*o + o**5 - 9*o**3.\nAnswer: -o**5 - 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -116181, -146852, -197963, -269508, -361481, -473876, -606687?\n\"Answer: t**3 - 10226*t**2 - 105956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/(-1395)*-18)\/(6\/(-120)*-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.238, -5\/2 in descending order.\nAnswer: -0.238, -2\/7, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 17.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 14 = 2*l, -l - g = 1022 - 1024 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11176 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 9 - 4. Let o = -255 + 252.07. Let y = o - -3.93. What is the third biggest value in -1\/7, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/3 - 652*v**4 + 474296*v**3\/3 + 646156*v**2 - 2410810*v\/3 = 0. Calculate v.\nAnswer: -5, 0, 1, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 5*t**2 + t - 5. Let h be (9\/18)\/((-1)\/(-10)). Let r be l(h). Does 23 divide (3 - r) + 23 - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + 19*p = -31*p + 780 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + 175. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113\/2*(18 + -16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) -3.665 (c) 0.5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 994149.6l to millilitres.\nAnswer: 994149600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.121 - 0.279. What is the smallest value in r, -2\/7, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - u = -4*u + 10, -u - 20 = -3*c. Solve 5*a = -o + 27, 0 = -a + c*a - o - 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2308 and -3\/525070.\nAnswer: 1050140","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 6.9, -216, -1\/2, 3.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 1, -845181?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 228114?\nAnswer: 684342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0 + (4 + 3 - 5)*(1 - 4 + 5) + 2 + 1 - 2)*(0*j**2 + 4*j**2 - j**2).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 7:39 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121011331212 - -4?\nAnswer: -121011331203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - -5*-3*sqrt(153)) + sqrt(153))\/sqrt(9))**2*-1 + (1*(-1 + (sqrt(17) - sqrt(34)\/sqrt(2) - sqrt(17) - sqrt(17))) + -4)**2.\nAnswer: -2780 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 56*x**2 - 15408*x + 2205. What is v(275)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 6*w = 0. Suppose w = 2*i - m - 20, 3*i - 28 = 5*m - 5. What is the third derivative of -9*n**5 - 17*n**2 - 25*n**2 - 3*n**5 + i*n**2 wrt n?\nAnswer: -720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208447718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 - -224\/3. Sort 2\/9, s, -13\/4.\nAnswer: -13\/4, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3*y - 185361*t**3 - 2*t**2*y + 285754*t*y + 3*y wrt t?\nAnswer: 12*t*y - 1112166*t - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*u + u. Suppose 2*m = p - 4*p + 189, 4*p = -u. What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.472 - 1.272. Which is greater: -686 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.4 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 3*b + 4. Let g be q(-5). What is the greatest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 10*i**2 - 18*i**2 + 1.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3795 = -28*x - 137*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(9\/3 - 7). Suppose 3*x + 34 = n*x. Solve -4*v = 5*g + 41, -2*v - x = 3*g - 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o - 2, -4*o = 5*n + 8. Suppose n = -0*r - 3*r + 294. 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: Factor 5*t**4 + 30*t**3 - 40*t**2 - 30*t + 35.\nAnswer: 5*(t - 1)**2*(t + 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -4\/7, -0.21678, 4, -1\/2?\nAnswer: -0.21678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 674532, 1349121, 2023710, 2698299?\n\"Answer: 674589*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-70) + 4\/10. Suppose x = -5 + 2. Sort -0.2, x, n.\nAnswer: x, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 15109566?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - -357.855\nAnswer: 358.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.11 (b) -3\/5 (c) -3 (d) 1\/8 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12349411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1125395460 by -277191.\nAnswer: 4060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4048095?\nAnswer: 3, 5, 401, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-19 - ((-9 - -20) + -3)) + 11.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*t = -12, 3*t = 4*z + 2*t - 6. Solve 0 = z*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d - 12639 + 12639.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5.5. Which is the closest to -1\/2? (a) 0.1 (b) 3\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 9 + 41*g**2 - 39*g**2 + 2*g + 12. Suppose -6 = 5*w - 2*w. Give k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 355288729 and 7582?\nAnswer: 3791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (8\/(-14))\/((-8)\/2380)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 592.4547 centuries?\nAnswer: 710945.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 3) + (9 - -9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4818 a factor of 19775996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Let f be (1 - -13)*(10 - h). Let j be (-2)\/f - (-4)\/(-7). What is the second smallest value in -2, j, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -41*k**2 + 20*k + 191. Determine d(-4).\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 756 - 756.000801. Round o to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 5) to base 4.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34974\/13 or 2690?\nAnswer: 34974\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 5308 = -31810. What are the prime factors of a?\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - u + 23. Let l = -23 - u. Solve o + 3 + l = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {h: 1, z: 1, y: 1, j: 1, s: 2, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -73. Let j be h\/18 + (-2)\/(-9). What is the smallest value in j, -3\/5, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*4*0\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/5 - 158*k**2\/5 - 6241*k\/5 = 0.\nAnswer: -79, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(390)*-1)\/sqrt(10) - sqrt(39))\/sqrt(3) - ((sqrt(13) + -1)*-2 - (0 + sqrt(468))))*6.\nAnswer: -12 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**3 - 9*i**2 + 14*i - 7. Is 16 a factor of j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -6 - 17. Suppose 10*n - 13*n = v + 10, 3*n + 18 = -3*v. Let w be 10 - 880\/26 - n\/(-13). Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 52*x - 2*x**3 - 52*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 19 = 31. Suppose 0 = 39*t - 48*t + 1746. Calculate the remainder when t is divided by r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 626, 627, 628, 629, 630, 631?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -6 + -9 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 142, 259, 408, 589, 802?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + -1 + 1. Let x = -0.3 - -0.3. Let y = -1 + -4. Which is the nearest to x? (a) g (b) y (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37402.89 years?\nAnswer: 448834.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/40*-2)\/((-3)\/30). Solve -3 + 9*c + 4*c**3 + 1 - 6*c**2 - d - 3*c**3 + 0 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354434\/85 smaller than 15935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470 - 71 + 4*h - 5*h.\nAnswer: -h - 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0185566ml in litres?\nAnswer: 0.0000185566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1041203\/4 - 258158. Let k = j - 2132. Let t = -11 + k. Which is the biggest value? (a) 0.4 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 1. Let q be y(2). Solve 4*m - q = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 2*w - 13, 2*w + 9 = -3*l - 3*l + 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/17 - 362*l**3\/17 + 19794*l**2\/17 - 294038*l\/17 + 274604\/17 = 0. Calculate l.\nAnswer: 1, 22, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 7562065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 9. Let g(p) = 8*p + 2. Let j(w) = -4*w - 1. Let m(n) = 3*g(n) + 7*j(n). Let s be m(2). Does 12 divide a(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245463 and 3301718?\nAnswer: 4813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*w + 2. Let b be 10\/(-4) - (-150)\/20. Let l be 5 - (b + 1 + w). Solve 0 = -2*k - p - 5, 3*k - l*p + 12 = -5*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173*t - 10 + 24 - 14)*(-3 + 0 + 4)*(6 + 0 - 4).\nAnswer: -346*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - 9.7. Let g = 9.9635918 - -0.0376482. Let d = c + g. Round d to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 - -5. Let k = 0 + -0.1. What is the smallest value in -2, k, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, 0.06, -10484 in decreasing order.\nAnswer: 0.06, -5\/6, -10484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.4 + 23.453. Let x = 1.0529431 - p. What is x rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 43. Solve 3*y + 24 = l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - -0.4. Let r = 6.3 + -1.3. Let h = 1.98 + 0.02. Which is the closest to v? (a) -4\/9 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/15 - 3662276*r\/15 + 1676533187522\/15 = 0. Calculate r.\nAnswer: 915569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -401412, 4, -8.\nAnswer: -401412, -22, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 106, -1\/8, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39714)\/(-15) - (-9)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -0.515 (c) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.17709 and -0.065?\nAnswer: 0.11209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115 times -24663?\nAnswer: 2836.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19 - (-11 - 1)\/2. Suppose -53*h + 58*h = -o. Sort -3, 4, h, -2 in ascending order.\nAnswer: h, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 2)\/(-2) + -4. Let k be (-2 + (-10)\/r)*-4. Let q be (7 + k)*(0 - -1). Solve 0 = -o - 2*t - 2, 0*o + 5*t + q = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38678 - 100170. Let y = l + 61418.963. Let f = y + 73. Round f to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.528600079 to 2 decimal places.\nAnswer: -9.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t + 36. Let k be y(-8). Solve 2*c = k*c + 4*g + 6, -4*g = -2*c + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.982579, 5, 28 in decreasing order.\nAnswer: 28, 5, 1.982579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -50, -14, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24a7334 - 6?\nAnswer: -24a733a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173313 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9795 by -15.\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101000101 (base 2) in base 16?\nAnswer: -745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 41 = 121. Suppose m - 15 = -2*m, -3*v + m - 32 = 0. What is the least common multiple of (-1)\/(9\/12)*v and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3436 - 1818 - 806 - 812 + 15*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/10, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1124 divided by -4.\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -27. Suppose 2*z = -9*h + u*h + 73, -3*h + 42 = 3*z. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46373986721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4767 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310, -541, -776, -1015, -1258, -1505?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5712 + 1.5712. Let v be (-4)\/(-14) + (-260)\/28. Which is the nearest to h? (a) 5 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + (3 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 332 = -4*k, -83 = -7*k + 6*k + 5*i. Calculate the remainder when k is divided by 34.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2512, 3512, 4498, 5464, 6404, 7312?\nAnswer: 8182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 165 and 0.2925.\nAnswer: 48.2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/2 and ((-6)\/(-5))\/(16\/460).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 49, -2\/7, -2 in increasing order.\nAnswer: -5, -2, -2\/7, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -251716.9352 and 0.4.\nAnswer: -251716.5352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1232 + -1182. Suppose 3*u - 8*u + 240 = 0. Suppose -u*k = -x*k. Solve 3*h - h + v = 8, k = -5*h + v + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 22 - 78)*(-644 + 644 - 57*k).\nAnswer: 2508*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a9b - -5128?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 2*j**6\/21 + 6*j**5\/5 + 43*j**4\/14 + 46*j**3\/21 - 9*j**2\/7 - 16*j\/7 - 214. Solve o(s) = 0.\nAnswer: -8, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6436145 millilitres?\nAnswer: 0.0006436145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2, 35, -2\/19, -3\/2, 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2027699289.\nAnswer: 3, 7, 11, 2925973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87927 and 477?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (858\/22)\/(-13)*((-1066)\/(-156))\/((-1)\/2)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463427916?\nAnswer: 2, 3, 7, 113, 48823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -33. Let b(w) = -w - 1 - 1 + x*w - 3. Let i(d) = -8*d + 6. Give -7*b(y) - 6*i(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*k + 0 + 5 = 0, -4*k - 40 = -5*a. Suppose m = 3 + a. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, w: 1, g: 1, v: 1, j: 1}. What is prob of picking 1 g, 2 q, and 1 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406436.75 rounded to the nearest one hundred?\nAnswer: 1406400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.105 - -3.895. Which is the second smallest value? (a) 1 (b) -4 (c) -1\/4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxd when three letters picked without replacement from {d: 3, h: 2, p: 1, z: 5, x: 1, o: 1}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*q = 4, -4*q + 8 = 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/21)\/i*i**(-2\/9))**14)**(-49) assuming i is positive.\nAnswer: i**(6958\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 5*o + 9. Let c(i) = i**2 - 13. Let d be c(4). Let t be j(d). Suppose -t*x = 2329 + 2291. What is x rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980 a factor of 194266239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1680\/40320*(-40)\/1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/25*-1*(-5)\/10\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + k - 177 = -187, 0 = -5*g - 3*k + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:05 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 32 - 12 = 3*o, 13*y + 19*y = 29*y - 33 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 930900 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364787 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 45*a**2 + 2*a + 11. Let n(t) = 224*t**2 + 11*t + 56. Let h(c) = 11*b(c) - 2*n(c). Let z be h(2). Let j = z + 6. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*q = 619*q - 4176 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 808978 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((42\/(-98))\/3)\/((-30)\/84).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 + 5*n**3 - 20*n**2 - 20*n.\nAnswer: 5*n*(n - 2)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25683182?\nAnswer: 2, 7, 1834513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 7*d - 1. Let h be l(3). Suppose -28 = -2*n - h*n. Is ((-292)\/(-16) + 0)*n*7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppnpppnnpp. What is prob of picking 2 p?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1633.4 - -1283. What is t rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {k: 1, m: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(4\/7))\/(b*b\/b**(14\/13)))\/(b\/(b\/(((b\/(b\/(b\/(b\/(b**(-2\/81)*b)))*b))\/b)\/b)))**(-39) assuming b is positive.\nAnswer: b**(-195227\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -1. Suppose -w + 20 = -5*w, -m = -2*k + 3*w. Are -5 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 >= -135\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258756550 a multiple of 8730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j - 15. Let c be (-6)\/2 - (2 - 1). Let z be x(c). Suppose 2*r = 1 + 5. Put z, -1, r in ascending order.\nAnswer: -1, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let w be 85\/(-10) + 4 - 24\/(-16). Let d be -1*(-3 + (b + w)*2). Solve 2*l - d = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4\/2 - 8418*x**3 + 422511*x**2\/2 - 743958*x + 710262 = 0. What is x?\nAnswer: -5637, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.1840317 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 133*d**6\/10 + 625*d**3\/6 + 3*d - 148. What is the second derivative of g(f) wrt f?\nAnswer: 4788*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16135747483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -2, 35\/4, -302\/7?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**5\/360 + d**4\/36 + d**3\/3 + 17*d**2\/2 - 43*d. Let y(p) be the first derivative of m(p). Factor y(u).\nAnswer: -(u - 6)*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 946?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d + 1. Let k(x) = x**3 + x**2 - 21*x + 3. Let c be k(4). Calculate the remainder when (-12*(-9)\/18)\/(4 + c) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 330125 + 3?\nAnswer: 330130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/461297 or -0.052?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40596 and 39729?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294454391?\nAnswer: 7, 11, 3824083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svvjssvsjssssssjjvk. What is prob of sequence sv?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = 46*m + 30*m + 665 - 2365 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 smaller than 431091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -83940, -335656, -755168, -1342482, -2097604, -3020540?\n\"Answer: -i**3 - 83892*i**2 - 33*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k + 26*k = -x + 743, 2*k = 6. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, s: 1, r: 1, p: 1, k: 2}. What is prob of sequence tkrs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -0.11 (c) 1\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141413 (base 6) to base 8.\nAnswer: -32021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -8 - 0. Let z = -7664 + 7663. Does z = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -328\/7?\nAnswer: -328\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uufugucwgswwuuwgfg. Give prob of picking 1 w and 1 s.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 18. Let d(b) = -b + 6. Let c(p) = 17*d(p) - 6*k(p). Let a be c(7). Suppose -4*n + 33 = a. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920*m = 915*m + 38440. What is the greatest common divisor of 24 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Let l(y) = y**2 + 2. Let q be l(0). Solve q*f - g = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 16*b**2 - 44*b + 24.\nAnswer: 4*(b - 1)**2*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (85885\/(-34354))\/((-290)\/4)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(2\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + (-646)\/28. Let r = -1159\/56 - l. Calculate the common denominator of -121\/6 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 542ea + 254?\nAnswer: 5453e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 divided by -6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**5\/20 + t**4\/2 - t**3\/6 - 3*t**2\/2 - 5*t + 4. Let q(d) be the first derivative of n(d). Calculate q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 6*k - 6. Suppose 6*t = 3*t + 159. What is the remainder when t is divided by p(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**3 - 9*i**2 - 34*i - 12. Is 17 a factor of n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 + 0*l**2 - 3*l**2. Let s be 18*(-5)\/(-10) + -5. Let c(v) = 43*v**2. Let k(d) = 429*d**2. Let p(o) = s*k(o) - 39*c(o). What is p(i(g))?\nAnswer: 156*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 134297, 268594, 402891, 537188?\n\"Answer: 134297*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7439826 - 7439739 = -5*z - 4*p, -2*z = 3*p + 32 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 + 77\/(-21). Let x be (0\/(-2))\/((-3)\/u). Solve x = 4*p - 4, -i - 1 = p - 6*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from pphcpneehrhhpehhp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -6\/13 (c) 2\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 25459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - (545 - (-12)\/3). Let l = y - -647. Calculate the greatest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8368*i - 1840*i + 1309*i.\nAnswer: -8899*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (-2*sqrt(80) + 5) - (2 + -1*sqrt(80))**2) + 1*(sqrt(4500) - (sqrt(4500) - (sqrt(4500) + 1 + sqrt(4500)*-2) - sqrt(4500)))**2.\nAnswer: -88 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*29\/145\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a + 5*a - 5*a + a**5 wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 1\/13597?\nAnswer: 1\/13597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = 2*g + 166, -9*g + 10*g + 0*g = 2*b + 37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g**2 - 8*g + 10. Let i be v(-6). Suppose -4*t - 3*t = -i. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 - 2)*(2*w - 3*w - w) - 2 + 2 - w)*((4 - 3 + 1)*(-3 + 1 + 1) - 3396 + 3399 + 2948) as o + b*w and give b.\nAnswer: 2949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5b - 188640?\nAnswer: -18949b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0403736 - -0.9.\nAnswer: 0.8596264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = v - 5*y, 24*v = 22*v - 8*y + 42 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391354 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 220 = 5*h, 5*h - t - 159 = 53. Suppose -2*y - h = -368. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2579.1 - -2579. Let u = -24 + 11.5. Let o = u + 13. Which is the nearest to t? (a) -2\/17 (b) 2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 43*y - 44*y = 119, 134 = 2*t + 4*y. Solve 17*v + 10 = t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in 2, -7.7, -4, -2\/147?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 + i**2 + 2 + 232*i**4 - 3 - 233*i**4 in the form c*i**4 + y*i + m + a*i**2 + j*i**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -6\/11, 6?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132409411 or -132409407?\nAnswer: -132409411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*h**3 + h - 2 - 3 - 2*h**2 to the form f*h + q*h**3 + w + u*h**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -482 + 493. Suppose 0 = -o*g - 126 + 401. Solve h = -5*r - 22, 0*r + 5*r = -g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372222 = 4653*v + 6976*v for v.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 2, d: 4}. Give prob of sequence dcd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -37, -8\/9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/2 (b) -3\/76 (c) -938\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1769 and 3502437.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4793 - 496 = 5*l, -4*l = 3*q - 3439. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2980 + -2988. Sort a, 4, -20, 1, -3 in decreasing order.\nAnswer: 4, 1, -3, a, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 657286 and 1059?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or -342\/446143?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1282000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.06 (b) 1 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 92\/17, -1\/44, -2?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136)*-4 + sqrt(136)*1*2)\/((sqrt(8) + sqrt(56)\/(sqrt(7)*3))*4).\nAnswer: 15*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 518 - 1318. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3528.493 minus -21.019?\nAnswer: 3549.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 7:25 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4 - 5048*x**3 + 9538192*x**2 - 7995062784*x + 2508447780864 = 0 for x.\nAnswer: 1168, 1356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111110010011010110 (base 2) in base 10?\nAnswer: -3400918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*n - 170*n - 308 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 3*l**2 - 2*l - 2. Let j be c(0). Sort 0, -3, -4, j in descending order.\nAnswer: 0, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - 24\/((-33264)\/38031) - 3\/6\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 96 in -1.9, 7\/3, -0.2, -2\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -27.49714?\nAnswer: -27.49714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*x - 4476 = -142*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0202 + -414.0202. Let w = 520.2 + u. What is w rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1875 and 297675.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11940 at most as big as -11486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**3\/2 + 4373974*x**2 + 52487634*x + 157462848 = 0.\nAnswer: -8747936, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 26*y. Let o(t) be the second derivative of t**4\/4 + 25*t. What is z(o(g))?\nAnswer: -18*g**4 - 78*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 4) + (-1 - 26). Let n = r + 142. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b. Let m be y(1). Suppose -m*l - 15 = -12*l. Let g(q) = q + 4*q - l*q + 5*q**2. Let d(x) = 2*x**2. Determine g(d(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prjvvzpvvpp. Give prob of picking 1 v and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37.867km?\nAnswer: 3786700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**4 - 4*f**2. Let u(m) = m**5 - 9*m**4 - m**3 + 9*m**2. Let o = 0 + 2. Let a(p) = o*u(p) + 5*y(p). Determine g, given that a(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.31 (b) -0.11 (c) 1 (d) 3752 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -164, 4, -1119, -5 in descending order.\nAnswer: 5, 4, -5, -164, -1119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p. Let o(k) = -2220984*k**2. What is o(a(y))?\nAnswer: -79955424*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from tfcpo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 144, 1651, 6210, 15495, 31180, 54939, 88446, 133375?\n\"Answer: 279*v**3 - 148*v**2 - 2*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8265 + 8308.29. What is l rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/10 (b) 0.24 (c) 2 (d) -991\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -1.1. Let y = b - 1.1. Let l = 5\/2 + -3. Is y at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*q - 13*q - 2 + 39*q**2 + 22*q**2 to the form t*q**2 + u + w*q and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4\/5 + 227322*v**3\/5 - 4306274307*v**2\/5 = 0?\nAnswer: 0, 37887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/50 + 92\/1150. Suppose i - 2*b - 890 - 1760 = c, -13218 = -5*i + 2*b. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 7. Let a = -34 + 36. Suppose -5*f + 10 = -5*c, -4*f + 13 = -2*c + f. Put c, a, i in ascending order.\nAnswer: i, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 44 = -19. Suppose 0*v = -p*v - 5. What are the prime factors of (v\/2)\/(1\/(-12))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-12)*o*o**(-4\/11)*(o**0)**(21\/8) assuming o is positive.\nAnswer: o**(-125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/8)*y**(-3)*(y*y\/(y*y**(3\/2)\/y*y))**(-1\/7) assuming y is positive.\nAnswer: y**(-185\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 453 + -440. Let w(a) = a**3 - 14*a**2 + 13*a + 6. Let y be w(v). What is the second smallest value in y, 5, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -21, -3 in decreasing order.\nAnswer: 4, 2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (588\/245)\/(896\/(-420)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 65761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6167 = 1257*m - 31307 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(363)*-2 + 3 + (sqrt(363) + -2)*-6*5)*3)**2.\nAnswer: -405504*sqrt(3) + 3382272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from spkkawk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 1038829 = 1037533 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffffffif. What is prob of picking 2 f and 1 i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249517872 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-9))\/(4\/(-12)). Suppose m - 24 = -5*q - m, -t*q + m = -18. What is the smallest common multiple of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -237.\nAnswer: 10\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4.35.\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1))**12)**7*n**(1\/9)*n**6*(((n*(n*n\/(n**(-1\/16)*n)*n*n)\/n)\/n)\/n)\/(n\/n**(3\/5)*n) assuming n is positive.\nAnswer: n**(4157\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9633, 38523, 86673, 154083, 240753?\nAnswer: 346683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 less than -663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -416*d**3 - 801*d**3 + 311*d**3 + (6*d - 3*d - 4*d)*(1 - 2*d**2 - 1).\nAnswer: -904*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1033 + -4.2033. Let a be 4341\/(-2457) + 4\/(-18). Let m = -24\/13 - a. Put -2\/9, x, m, 0.3 in decreasing order.\nAnswer: 0.3, m, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*j - 0*j, -2*j = -10. Let y(l) = -r*l + 7*l - 3*l. Determine y(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486)*-4)\/((sqrt(2) - (sqrt(32) - sqrt(2)) - sqrt(2))*-4).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 8\/27.\nAnswer: -12, -3, 8\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 2, -0.6, 0.4, 7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*d + 322. Let x = -96 - d. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15)\/(l\/(l**(-2\/7)\/l))*l*((l*l\/l**3)\/l)\/l*l*l\/(l\/((l*l**1)\/l*l))*l)\/((l*l**(-1)*l*l*l)**(-11\/5))**50 assuming l is positive.\nAnswer: l**(34606\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 498731580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, -11, -18?\n\"Answer: -7*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11\/5, 0.1, -0.2, 0.17.\nAnswer: -11\/5, -0.2, 0.1, 0.17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 963912032 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 20 = 20. Suppose -4*s - 4*c + 396 = j, 0 = -4*s + 3*s + 2*c + 84. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3111*l - 12056 + 24117 + 1659*l - 12061)*(-l - 2 + 2).\nAnswer: -4770*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 219.9?\nAnswer: 219.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 154219649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.7. Let m = -0.18 - -1.58. Let t = 1.2 - m. Which is the closest to w? (a) 2 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-2)\/(-23) - (-48900)\/920*(-248)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 953 - -418. Find the third derivative of -11 - g*w**2 - 36*w**4 + 1361*w**2 - 5*w**4 wrt w.\nAnswer: -984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let g(a) = -1373566*a. Calculate g(f(s)).\nAnswer: 1373566*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85)*3*4 - sqrt(85)) + sqrt(85))*-1)\/(sqrt(20)\/((sqrt(4) - -6*(sqrt(4) + (sqrt(4) - sqrt(144))) - sqrt(4)) + sqrt(4))).\nAnswer: 299*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10476, -10474, -10472?\nAnswer: -10470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 11, -1 in increasing order.\nAnswer: -2, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 234*n - 2498. Let r be u(11). Solve 11*a + 27*a = r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.1, 35, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13746*w + 612 = -13644*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 + -380. Suppose -6*t + p*j + 41 = -t, 5*j + 13 = 2*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 5*r = 9*o + 21, -2*o - 6 = -4*r. Solve -25 = -27*g + 24*g - 5*n, 0 = o*n - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/43, 2\/39, 18.8, 2\/9 in decreasing order.\nAnswer: 18.8, 2\/9, 2\/39, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/((b\/b**9)\/b))\/b))\/(b**(-1\/5)\/b))\/((b\/(b\/(b*b**(-2\/11)))*b)\/(b*(b**(1\/4)*b)\/b)) assuming b is positive.\nAnswer: b**(-1621\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 6. Suppose -6*l + 9 - 3 = 0. Let w(r) = r - 1. Determine l*q(n) - 6*w(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1\/35)*n))**(14\/13) assuming n is positive.\nAnswer: n**(-72\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.0598 + -0.6598. Sort -16, -164, v in decreasing order.\nAnswer: v, -16, -164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4795 and 5785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 4*u - 2. Let b be k(5). Suppose -2*t + 3*t = b. Suppose -4 + 19 = -3*w. Sort w, t, -2 in descending order.\nAnswer: t, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - 1*sqrt(104)*-2)\/((-2*sqrt(96))\/sqrt(12) + sqrt(8) - sqrt(8)).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1128 - 1116. Solve 0 = 3*n - 4*m + m - 18, b = -4*n - 5*m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2211059.82 to the nearest one thousand.\nAnswer: -2211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010 (base 2) in base 14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -144*y - 378 - 486 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 38.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 83.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2712.999 + 2713. Sort l, 1\/3, 5, -1 in decreasing order.\nAnswer: 5, 1\/3, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -17. Let x = 34.0052 + n. What is x rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 5:26 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11064?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.346556ml to litres.\nAnswer: 0.008346556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 16) in base 11?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 11:59 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 20 + 0*u + u**2 + 41 + 4*u. What is the tens digit of g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(7)*1 + sqrt(175)*3 + 5.\nAnswer: 5 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30251839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from zozojzzzoooizz.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + -1 + sqrt(325) - sqrt(325)) + (0 + sqrt(325) + -2 - -5*2*sqrt(325)))**2.\nAnswer: 39325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156202357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -473, -22, 2.\nAnswer: -473, -22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 58*f - 60*f = 8323, 0 = 2*f + 2. Calculate the highest common factor of m and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k**2 + k. Let c(y) = 17*y**2 - 17*y - 25. Let r(m) = c(m) + p(m). Let l(q) = -q**2 - 5*q + 8. Let w be l(-7). Is r(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + b = 15, -n + 1484*b - 6 = 1481*b for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -455435534?\nAnswer: -455435535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55530, -111214, -166892, -222564?\n\"Answer: 3*l**2 - 55693*l + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7381*k**2 - 26717*k + 51. Let h(m) = -2461*m**2 - 8905*m + 18. Let w(o) = 17*h(o) - 6*l(o). Find the second derivative of w(r) wrt r.\nAnswer: 4898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -107, -324, -737, -1412, -2415, -3812, -5669?\n\"Answer: -11*z**3 + z**2 - 13*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38880 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p**2 - 3781*p - 7 + 3781*p)*(p + 3*p - 2*p).\nAnswer: -26*p**3 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 + 9144*v**3 - 2787804*v**2 - 8445816*v = 0.\nAnswer: -3, 0, 366, 1923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7}. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (12366\/(-1548) - -7 - -1)*4\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -816 + 806.11. Let h = 0.39 + f. Let q = h + 10. What is the second smallest value in -0.4, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3959.\nAnswer: 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h**4 + 4*h - h**3 + 11 - h + 25*h**4 + h as r*h + d*h**2 + l*h**4 + f*h**3 + a and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 110 - 110 - 2*h**3 + 10*h as x*h**3 + n + l*h + p*h**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 34*y + 15. Suppose -23*i = -359 + 106. Let z be a(i). Solve 0 = z*c - u - 14, -c + u = -0*c - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 15. Let h(g) = -5*g - 13. Let q(s) = -7*h(s) + 6*t(s). Let i(v) = -22*v - 2. Determine 2*i(f) + 5*q(f).\nAnswer: 11*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1.05. Let l = k + 3.95. Put l, 5, -0.3 in decreasing order.\nAnswer: 5, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 7*p + 54. Does 23 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - -11. Suppose 6*p - 24 = 4*p. Calculate the remainder when a is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v**2 - v + 5*v)*(-15*v + 8 - 11 + 0).\nAnswer: -30*v**3 - 66*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 40376630 to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) 1\/2 (c) 10051 (d) -1 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 1235 = -15*s - m, -2*m + 1230 = -4*s. Which is greater: -6 or s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*u = -52, -5*q - 6*u + 154 = -10*u. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 13 (b) -627\/31 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3 + 2*b)*((-3*b + 2*b - b)*(-731 + 731 + 28*b) - 1 + b**2 + 1) to a + h*b**2 + q*b + i*b**3 and give i.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1490 = -3*z - 4*h, 2*z = h + 583. What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*a*c**2 + 69*a*c - a + 4409*c**2 wrt a?\nAnswer: 14*c**2 + 69*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -72*m + 76*m - 16135, -2*a - 2*m = -10758. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3564551\/46467521 - -1294\/49381. Let v = -2\/941 + r. Is -24 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irimyzyziyyyl. What is prob of picking 1 z, 1 y, and 1 r?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**3 - 15*f**2 + 6*f - 6. Let d be (-2 + 4)\/((-78)\/(-156)). Determine r(d).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/16 - 33\/264. Let u(n) = -8*n + 3*n**2 + 1 - 2*n**2 + 3*n + 0*n**2. Let q be u(3). Sort 1, b, q in increasing order.\nAnswer: q, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16020, -16027, -16034, -16041?\n\"Answer: -7*m - 16013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 21823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k + 8 - 4*k + k**2 - 5. Let b be f(0). Suppose -2*g + 360 = b*g + 3*x, g - 80 = x. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -1. Is 1\/2 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (17 - -2)) + 1 + 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 7 = -3*a. What is the remainder when 11 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178992 divided by 528?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/12 + 642\/8. Suppose 0 = 3*h - g + 2*g - 74, -f = -3*h + 5*g. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 83*y**2 - 68*y + 39. Is 16 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -270427*q + 270258*q + 7098 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30658605013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948107893?\nAnswer: 3948107893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 40 = -7*p. Let i = p - 4. Calculate the remainder when -3*4\/(-18)*15 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = 4. Solve -3*u = o + v*o + 9, 4*o + 2*u = -8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 4*d**3 + d**3)*(-1 + 5 + 2)*(0 + 1 + 0)*(3 + 0 + 0).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 679 divided by -56\nAnswer: -97\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1582, 7, 0.492?\nAnswer: 0.492","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4*v**2 + 204*o**4*v - 2*o**2*v**2 + 121*v**2 wrt o?\nAnswer: -48*o*v**2 + 4896*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -t - 47. Suppose -m = 0, 0 = -0*p - 2*p - m + 4. Suppose -p*c = -5*b - 73, c + 5*b = -c + t. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (22 - 18) + (-278)\/40 and -3 + 2 + (-111)\/(-39).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 19*s**2 + 60*s + 671. Calculate i(-19).\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1264, 2523, 3782, 5041, 6300?\n\"Answer: 1259*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*sqrt(175)\/sqrt(5))\/(5*(sqrt(7) - sqrt(63))))**2.\nAnswer: 5*sqrt(5) + 105\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 310 - 309. Suppose d + 2*m - 3*m - 2 = 0, 4*d + 3*m = r. Is 8\/15 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 4*t + t + (-1 + t + 1)*(-3 - 1 + 3) - 2*t + 0*t + 0*t + 0*t + t - 2*t - 2*t + 6*t + 0*t to c + w*t and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * 0.3.\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.84226cm in meters?\nAnswer: 0.1984226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - sqrt(6))*5 + sqrt(6))\/(6*sqrt(3)*-2) + (sqrt(8)*2*3)\/(2*sqrt(256) + sqrt(256)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 (base 10) in base 2?\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*x - 109*x = 0. Is 10 a factor of 99 + x + (-11 - -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/238260 and -53\/332340.\nAnswer: 1319722140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -5\/3, 6, 2754, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 159, 224, 279?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (290\/(-348)*32\/(-80))\/(8\/30)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 168873, 168819, 168765, 168711, 168657?\n\"Answer: -54*f + 168927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -z, -11*z + 16*z + 3*h = 22. Find the second derivative of 92*n**3 - 88*n**3 - 8*n**2 - 2*n**z - 100*n wrt n.\nAnswer: 24*n - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*h + 42144 - 12195 = 0, -30 = 5*h. What is the highest common factor of 135 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n + 1. Let q be z(-4). Is (-20)\/q*(-1 - 9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from tmmtgjh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + e6e3b?\nAnswer: e6e39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0501622457 rounded to 3 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*f + 9132 = 0, 0 = 2*r - 4*f - 4089 + 433. Let x be r\/8 - (5 - 19\/4). Does 7 divide (x\/28 - 3)\/((-4)\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28760 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 18 = -5*b, 0*q + 3*b - 18 = -3*q. Suppose -2*t + 43 = -q*v, 5*t = v + v + 113. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tammcmme. Give prob of sequence am.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011101001110 (base 2) to base 9.\nAnswer: 21371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 - 2 + 2)*(2*k - 3*k + 10*k).\nAnswer: -18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2965\/3 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -26.2. Which is the closest to 0.3? (a) -1 (b) -2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59473720 is divided by 663?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5495)\/70 + -13 + (-855)\/(-38)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(70) + sqrt(70) + -3*sqrt(70)*1)\/sqrt(5))\/(sqrt(16)\/(sqrt(32)\/sqrt(4)) + sqrt(22)\/sqrt(176)).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/14 and 95\/166.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -715\/76 or -10?\nAnswer: -715\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.4 + -7. Let i = p + -1.8. What is the second biggest value in -0.1, i, -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f - 24. Let k be l(9). Suppose 0 = -k*t + 125 + 76. Let z = t - 34. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 15*f + 15. Let q be b(2). Solve -m + 14 = -q*p, -5*m - 3*p - 10 + 24 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 403*a + 89. Let o be w(0). What is the highest common factor of 10146 and o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from ccirclcelc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/8))\/g**(-1\/4) assuming g is positive.\nAnswer: g**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 788 (base 9) to base 6\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/5 + -1)\/(462\/(-1540)). Let j(d) = -d**3 - 5*d**2 - 3*d - 5. Give j(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -1585, -3591, -6401?\nAnswer: -10015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 5*t**2 - 8*t + 9. Let n be o(3). Factor 11*c**2 + 1\/2 + 12*c**n + 4*c + 9\/2*c**4.\nAnswer: (c + 1)**2*(3*c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -20. Let g = w + -17. Let q = 6 - g. Put q, 3\/2, 4 in descending order.\nAnswer: 4, 3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/46)\/((-6190)\/(-4840580))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(78)*-1*-5)\/(5*(sqrt(726)*-1 - sqrt(6))))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -7*j**5\/60 - 2*j**2. Let t(a) = 19*a**2 - 14*a. Let w(f) = -28*f**2 + 20*f. Let y(s) = -10*t(s) - 7*w(s). Determine y(u(r)).\nAnswer: 294*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 3) + -3 - 0. Let k = i + 1. Solve -3 + k = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 17091*n + 393094. Determine y(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 112104643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 287*p. Let x(g) = 4*g. Give x(v(y)).\nAnswer: 1148*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + 6.5. Let j = d - 19. Let v = 0.05 - -0.35. Which is the biggest value? (a) j (b) -2\/23 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*d + 921 = 6*d, 3*c = -5*d - 897. Let o = -200 - c. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.3, 0.21, 5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1466992802*r - 859782. Let x(f) = -20475*f + 12. Determine 2*l(d) + 143297*x(d).\nAnswer: -20471*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319413056*j**2*r**3 - 9*j*r**3 + 9*j*r**2 - 11*j*r + 5*r**3 + 37*r wrt j?\nAnswer: 638826112*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/543 (b) 3\/2 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:43 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499921 - 38*i**2 - 499921.\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6652357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*d = 161*d - 5. Solve d*c - 9 - 6 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -2 - -25) + 1 + -13 + 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -x - 28 + 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6*j - 4 = 0. Solve 0 = -j*u - 14 - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -4*n - 3*r + 127, -4*n + 11842 = 309*r - 90*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, 2, -7, 5, -4, -8, 0 in descending order.\nAnswer: 306, 5, 2, 0, -4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 - 143. Solve u*q = 8*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/36*(-7350)\/(-4802)*(-4)\/10.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 14, o: 4}. Give prob of sequence gggo.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(684)*-2).\nAnswer: 2 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66664*b**2 - 26461 wrt b.\nAnswer: 133328*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -2\/17, 2\/3, -5, -2\/5, 1534\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141113 (base 6) to base 14.\nAnswer: 4b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 5) to base 9\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**14\/j**14 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -0.4 (c) -8\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1be (base 15) to base 6\nAnswer: -1512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 80?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -110 or -2241.17?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2. Let o be (-84100)\/(-275) + (-2)\/(-11). Suppose o = 4*i - 2*p + 4*p, -5*i - 2*p + 380 = 0. Let y(c) = 6*c + i - 74. Give j(y(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, h: 5, k: 6}. Give prob of sequence ggkk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-1) + -1 + 4. Suppose 0 = -5*q + 15 + 10. Put -6, f, q in increasing order.\nAnswer: -6, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/45*(19 - ((-70)\/10*-2 + -5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-5))\/y**(2\/9))**(3\/34))**(-45) assuming y is positive.\nAnswer: y**(285\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*c - 19*c - 23*c + 61*c + 636 to the form v*c + a and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5015, 10027, 15039, 20051, 25063?\n\"Answer: 5012*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -28. Let m(c) = 9*c + h - 2 - 12*c. Let a(y) = 2*y**2. What is m(a(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7 + -2.8. Which is smaller: 113 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116450 - -452?\nAnswer: 120232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 3, 230, -5 in descending order.\nAnswer: 230, 3, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25715 + -25839. Put l, -5, 2\/7, -0.3, -2 in descending order.\nAnswer: 2\/7, -0.3, -2, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23902 by 17.\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1 (c) 161 (d) 33780\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24761\/2 + 274205\/22. Which is smaller: 82 or c?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72\/105 + 48\/(-120). Find p, given that -a*p**3 + 0*p + 4\/7*p**4 + 0*p**2 + 0 - 2\/7*p**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*m + 29*m - 73*m.\nAnswer: -123*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82570776 and 16?\nAnswer: 165141552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + (-144)\/(-14). Suppose -j - 5*a - 8 = 0, j + 4*a + s = 2*j. Suppose -25*q = -18*q - 133. Solve v = -3*k - q, -j*v = k + 6 + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -724, -5936, -20112, -47734, -93284, -161244?\n\"Answer: -747*g**3 + 17*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, -2\/32767, -2\/3?\nAnswer: -2\/32767","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 406, -29, -5, 2, 23 in increasing order.\nAnswer: -29, -5, -4, -2, 2, 23, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268130 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93237 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 15 - 4)*(5 - 2 + 11)*(2 - 2 - 4*k) as i*k + b and give i.\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 723840 and 1440.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 8151, -1\/5 in decreasing order.\nAnswer: 8151, 12, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56570*d + 56666*d = 4031 + 9217 for d.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14681.85 + -33803?\nAnswer: -19121.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 22 = v, 5*d + 2*v = -35 - 3 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -799455*n**2 + 10392920*n - 65.\nAnswer: -5*(n - 13)*(159891*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 72. What is the remainder when (450\/(-27))\/(b\/3) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 z when three letters picked without replacement from {d: 13, z: 5}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/14 - (31\/(-7) - -5). What is the closest to r in 7\/3, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*n**4 - 14*n + 32*n**4 - 19*n**4 wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**4\/14 + 2*u**3\/21 + 10*u**2\/7 + 16*u\/7 - 1777. Factor p(v).\nAnswer: -2*(v - 4)*(v + 1)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 50 - 9 = 4*j, -3 = -2*j + 5*a. Let p be j\/(-21) + (-347)\/(-3). Calculate the highest common factor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/v*v*v)\/v)**(4\/19)\/((v*v**(1\/3))\/v*v\/v**(-5))*(v**(-1\/7)\/v*v**4)**(-36\/5) assuming v is positive.\nAnswer: v**(-565\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2\/3, -4.4 in decreasing order.\nAnswer: 4, 2\/3, 0, -4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 900\/105*14\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-1))\/(-1*2). Suppose 15 = 7*n - 2*n - 5*y, 2*y = -d. Solve 2*i - 12 = -n*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -395801*d**2 - 5*d*n**3 + 154575*n**3 - n + 5 with respect to d.\nAnswer: -791602*d - 5*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3576856807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 1.3. Let l = -350 - -355. Which is the nearest to g? (a) 4 (b) l (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 11:36 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*a - 16 = 0, -5 - 19 = -3*r - a. Solve 3*y - 1 = r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75436 or 75437?\nAnswer: 75436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/11, -6, 0.2, -54, 2 in increasing order.\nAnswer: -54, -6, -0.5, -2\/11, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/p**(-2\/15))\/(p**(1\/5)\/p)**(-33) assuming p is positive.\nAnswer: p**(-454\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1051893 by -3.\nAnswer: -350631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 22441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1028427 and 3.\nAnswer: -3085281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42\/5 of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 5, 2\/3 in decreasing order.\nAnswer: 5, 2, 2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 302813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (10 - (8 - -11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1583 - 4*d - 1583.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.06, -0.3, -20.76 in decreasing order.\nAnswer: 2, 0.06, -0.3, -20.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -6717?\nAnswer: 6715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -4\/7 (c) 4 (d) 140.3 (e) 0.02 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/1407150 and 83\/318.\nAnswer: 1407150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68)*-1 + sqrt(68)) + sqrt(68))\/sqrt(4) + 4*sqrt(272)*-1.\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4070003 rounded to three dps?\nAnswer: -3.407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (107178\/24 - -1) + 33\/(-44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1886*w + 15205 = -7270*w + 4437 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 2, -13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -15*o - 9. What is the units digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 682 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75817766.\nAnswer: 2, 37908883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (4 + -6)*-5. Solve -3*f = h - 18, 2*f - 16 = -o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a7d9 (base 14) to base 8\nAnswer: 1333733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is cfe5 (base 16) in base 2?\nAnswer: 1100111111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 10, 0, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 1856?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7973)\/2380*(-3)\/((-15)\/(-2)) and 34\/35?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.651 (b) -0.3 (c) 2\/13 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1117615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 8634514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -65. Suppose 3*i - i - 34 = -5*v, 4 = -v + 5*i. Solve v = -3*h - r*h, 4*x - 4*h - 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 462 and 18?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {u: 1, n: 3, t: 1, l: 3, y: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 150148341 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 750 or 777?\nAnswer: 750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c + 32. Let a(y) = y**2 + 8*y. Let m be a(c). Let s(h) = -h + 2. Calculate the remainder when s(m) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 10*i - 6. Let f be u(-9). Suppose 2 = f*c - 1. Let m(k) = k**3 + 1. Let n(q) = -6*q**3 + 2*q**2 + q - 4. What is c*n(o) + 4*m(o)?\nAnswer: -2*o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 5*q**3\/3 + q - 1. Let y = -2 + 3. Is x(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01006 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 40*i = -31*i - 31, b + 3*b - 38 = -2*i for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 q when four letters picked without replacement from {k: 4, q: 2, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1686929?\nAnswer: 379, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 176910863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/8*(-39 - 1). Let y(c) = c**2 - 12*c - 42. Let h be y(s). Solve -4\/15*m**4 + 2\/15*m**5 + 0 - 8\/15*m - 2\/5*m**h + 16\/15*m**2 = 0 for m.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 0.3 (b) -0.2 (c) 0.4 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7390193927 and -1619.\nAnswer: -7390195546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 366130?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = -k, -5*k + 15 = -3*u - 25. Let l be (2\/3)\/(u\/(-135)). Let h(c) = -c**3 + 12*c**2 - c + 3. Is h(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012313 - 111?\nAnswer: -1013030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58678 is divided by 9734?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z*z**7\/z*z)\/z)**(-20) assuming z is positive.\nAnswer: z**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 17, -0.3, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -147 (c) 0.0994\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -220 + 217. Let v(n) = 7*n**3 - 15*n**2 + 14*n. Let i(d) = -3*d**3 + 7*d**2 - 6*d. Let l(c) = -9*i(c) - 4*v(c). Give l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 22760\/12*9. Let u = -7284 + d. Let x = u + -176197\/18. Find the common denominator of 1\/10 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 2*s - 2*j, 16*s = 21*s + 5*j - 245. What is the greatest common factor of s and 840?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**4\/24 + 8*d**3\/3 - 71*d**2 + d. Determine z(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/9*339\/4520.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40886165 and -4.\nAnswer: -163544660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, p: 1, w: 2, o: 8}. What is prob of picking 2 w and 1 o?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74559 is divided by 289?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 17, 31, 49?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*(-14)\/1239*54603\/6067?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/60 - 13*t**4\/24 - t**3\/2 + 2*t**2. Let z be g(12). Is (-3)\/9*17*z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*j - 252 + 159. What is s in 0 - 3*s - 3\/4*s**j - 15\/4*s**2 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521812269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/7*(-31)\/(434\/49)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 1. Let v be c(-1). Find the second derivative of 3*u + 15*u**v - 3*u - 5*u - 10*u**3 wrt u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3422171 is divided by 72812.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*n - 671*j + 669*j, -5*n + 5*j = -45 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -90. Let g = -3 - -5. Suppose 0 = -5*o - 1 + 6, -g*o = x - f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25 and -32*(-7)\/28 - (-244)\/(-42).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 4. Let h = 0.31 + 0.09. What is the second biggest value in -0.1, h, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1 - n)*(16*n + 20*n - 2*n) + 6*n**2 - 26*n - 3*n**2 + 24*n.\nAnswer: -31*n**2 - 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -2\/15*w**3 - 29\/5*w**2 + 124\/5*w + 172. Factor q(t).\nAnswer: -2*(t - 2)*(t + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**5\/40 - n**4\/12 + n**3\/4 + 117*n. Factor o(h).\nAnswer: -h*(h - 1)*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and -4 - -2 - 0 - 1*-23?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(140))\/sqrt(10))\/(1*sqrt(32)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*s + 20 = -0*s, 25 = -5*s. Suppose c = -j + 2*t - 9, 20 = 5*j + t + 2*t. What is the lowest common multiple of j and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -48*a + 175. Determine l(5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -2 - ((-2)\/2 + 1). Suppose -23 = -2*s - t, x*s + 5*t = 2*s + 34. Calculate the remainder when 123 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3673 and -480 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/4, -33\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3121244 (base 5) to base 15\nAnswer: 1039e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -32711 greater than or equal to -32711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxwx when four letters picked without replacement from {n: 1, w: 2, x: 7, d: 8}.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3663 = 11*c - 22*c. Let o be (2 - 1) + -1 - -1220. Let x = o - c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83876 divided by 13?\nAnswer: 6452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(-4))**(-2))**44)**(-29))**(-47) assuming d is positive.\nAnswer: d**(-599720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 3*l**2 - 3*l + 3. Let s = -65 + 62. Let b be s\/((1\/(-3 - -2))\/(-1)). What is n(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 4*r)*(-11 - 12 + 7).\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21870 or -21972?\nAnswer: -21870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:03 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**5 + 20*r**4 + 18*r**3 + 18*r**2 + 18*r. Let u(f) = -f**4 - f**3 - f**2 - f. Let k(q) = -2*d(q) - 36*u(q). Factor k(g).\nAnswer: -4*g**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 0.12613 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 800945, 802223, 803503, 804785, 806069, 807355?\nAnswer: 808643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -208 - -207.744. Let k = d - -5.256. Let r = -0.3 - -0.2. What is the nearest to r in k, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q. Let r(g) = g + 1. Let j(n) = -14*n - 12. Let m(z) = -j(z) - 12*r(z). What is v(m(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4313 and 3629?\nAnswer: 823783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 5:53 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 3*f**2 + 6*f**2)*(166*f + 228*f - 101*f) + 2*f**2 - 2*f**3 - 2*f**2 + f**2.\nAnswer: 584*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(150)\/sqrt(3) - sqrt(50))\/((sqrt(40)*-2)\/sqrt(4)) + (3*sqrt(80) + sqrt(320) + -1)*-1.\nAnswer: -19*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6737 - 5*t - 20159 + 6715 + 6707.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(17) + 2)**2 - (sqrt(187) + -1*sqrt(187))\/sqrt(11).\nAnswer: 4*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 380\/7 (b) -1 (c) 0.5 (d) 3\/2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in -10\/7, 5, -63\/1529?\nAnswer: -63\/1529","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -2\/17 (c) -29 (d) -15\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 7\/33088841 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3150*a + 770. Let g(m) = 97*m - 24. Let o(h) = -6*f(h) - 195*g(h). Give o(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -4*g, -2*o + 4*g + 46 = 0. Calculate the highest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 16.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*f*y**3 - 2*f*y**2 + 8*f + 1534*y**3 + 2*y**2 + 1364*y wrt y.\nAnswer: 108*f + 9204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - 0) - (-5 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1 + 11 + -3. Let v(k) = -k + 8. Let u be v(q). Solve 2 - 6*l + u + 9*l**2 + 6*l**3 - 4 = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 11*j**2 + 283*j + 3277. Calculate s(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1*(-1 + (-10)\/(-12))). Suppose -7*x + f*x + 2*x = 0. Suppose 3*y - 1133 + 122 = x. 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 factor of 137093 and 8954?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -188 (base 14) to base 10\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3423 + -959. Calculate the highest common divisor of 660 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*v + 37271 = -1027*v for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14732572, -14732577, -14732584, -14732593, -14732604?\nAnswer: -14732617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3310200 and -133\/1103400?\nAnswer: 3310200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*j - 139 = 3*j, -4*j - 12 = 0. Let m be t\/(-9) + 8\/36. Suppose -2*n = m*i - 134, i + n = -3*n + 23. Find the common denominator of -89\/2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 8594*n\/3 - 193429.\nAnswer: (n - 8661)*(n + 67)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + sqrt(13) - (sqrt(13) + sqrt(1573) + -1).\nAnswer: -11*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136199399*q = -136199413*q - 1456 for q.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/3542322 and 107\/3542322.\nAnswer: 3542322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyiyiyyiyyyiyyyiy. What is prob of picking 3 i?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-5) + 5680\/3550?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791266944 a multiple of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -a + 165 - 162, 2*a - 26 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 4*y**2 - 3*y**2)*(-y - 2*y + 4*y) - 2721*y**3 + 4688*y**3 + 4477*y**3.\nAnswer: 6442*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 8150470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75409*m = -75817*m - 12240 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 18.4 (c) -2\/19 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2012, -2023, -2016, -1985, -1924, -1827, -1688?\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 39*c - 74.\nAnswer: -(c - 37)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2. Let k(x) be the first derivative of 2*x**3 + 5*x - 504. What is q(k(b))?\nAnswer: 180*b**4 + 300*b**2 + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -884 - -883. What is the biggest value in -0.6, -0.7, v?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*4\/(-24)*2\/4. Which is greater: p or -2\/789?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000021022 + -2?\nAnswer: -2000021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 496 - -54384?\nAnswer: 5483a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (-4 + (sqrt(242) + (sqrt(242) - (sqrt(242) - (2 + sqrt(242))))*2)*-3)**2 + -2.\nAnswer: 3168*sqrt(2) + 19847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/((-4)\/(-72)*-3). Suppose 6 = -3*r, s*g - 4*r = r + 34. Let k be 4\/g - (-28)\/6. Solve -2*c + k = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y**2 + y. Let w(b) be the third derivative of 271*b**2 - b**5 + 0 + 0*b**3 + 5\/2*b**4 + 0*b + 2\/5*b**6. Give -60*c(f) + w(f).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 52. Is c at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1173, -1177, -1193, -1227, -1285, -1373, -1497, -1663?\nAnswer: -1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -32. Let k(d) be the third derivative of 0*d + 1\/24*d**4 + m*d**3 + 0 + d**2. Let n(r) = -r. Give n(k(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**3\/3 - 2*x**2 + 4*x + 1. Let r be v(4). Suppose 2*n = -5*o + 8 + 13, 0 = 5*o + r*n - 27. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 162*v**4 - 11*v**3 - 105*v - 11. Let s(g) = 41*g**4 - 3*g**3 - 26*g - 3. Let z(i) = -6*j(i) + 22*s(i). What is the second derivative of z(f) wrt f?\nAnswer: -840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.1 or 8828?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0) + 2 - 6. Is 37 - (n + (4 - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7190.58ug in grams?\nAnswer: 0.00719058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1267005 rounded to the nearest 10000?\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, q: 2}. Give prob of sequence dqdq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8442853 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079651 to the power of 1\/2, to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 614137 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/11 (b) 1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 5*q - 3. Let a(p) = -2*p**2 + 6*p + 4. Let l(t) = -5*a(t) - 6*w(t). Let j(c) = -36*c + 1762. Let d be j(49). Calculate l(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 17, j: 1}. Give prob of picking 1 d and 1 j.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.341 - 7.39572. What is w rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1874 = 277*a - 60*a + 138 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 725543402 to the power of 1\/2, to the nearest integer?\nAnswer: 26936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**6\/120 + x**5\/12 + x**4\/3 - x**3\/6 - x**2\/2 + 4*x. Let t(h) be the first derivative of a(h). Determine t(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v = 48 + 138 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -828266 less than -20.538696?\nAnswer: 828245.461304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -5. Let m be (-2)\/8 - (-27)\/12. Let u be (-4)\/24*m*-6. What is the highest common divisor of u and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 136187 - 200170 = 0. Is (-4)\/(-5) - a\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -13, -2, -7, 3, -11 in increasing order.\nAnswer: -13, -11, -7, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130569064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17.6 - 0.5\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 22. Suppose -s*z - 4*g = -g - 7, -g = -3*z + 7. Let h be (2 - -198)\/(z\/5900). Round h to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x**2 + x + 2. Let j be h(2). Solve -5*k - 2 + 27 = j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173\/5 + -627\/20. Let p(j) be the first derivative of 2 + b*j**4 - 1\/3*j**3 + j - 1\/2*j**2. What is p(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1994 = -0*c + 14*c, -5*g - 2*c + 3110 = 0. Let r be 6\/(-9) - 20\/(-3). Calculate the highest common divisor of g and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - -5 - (8 - (2 + 0)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/222 and -51\/167558903.\nAnswer: 1005353418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -43 (b) -0.02 (c) 2 (d) -5 (e) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6927*s = 6929*s - 280. Calculate the lowest common multiple of s and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-19)\/4)\/(813\/4336)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v - 2*v + 60. Solve -2*n - v = -6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 5. Let c(r) = -r**3 + 4 + 0 - 7*r - 8*r**2 + 0*r. Let q be c(-7). Solve 4*s = g*i - 8, s = q*s + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5444141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*v - 474*v - 83006 = -460*v - 508*v for v.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 1. Let h(f) = f**3 - 4*f**2 + 2. Let t(c) = -5*g(c) + 3*h(c). What is the remainder when t(3) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/3))**(-44))**(-36))**(-2\/75) assuming q is positive.\nAnswer: q**(-352\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -23*r**4 + 9*r**3 - 9*r - 23. Let v(t) = 11*t**4 - 4*t**3 + 4*t + 12. Let h(k) = 4*f(k) + 9*v(k). Differentiate h(m) with respect to m.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 5:51 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 455180, 455012, 454844, 454676, 454508, 454340?\n\"Answer: -168*p + 455348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 82. Let s be (o\/5)\/(24\/(-60)). Let g = -8 + 1. Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 18044*i - 1714185. What is j(95)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 275*s**4 - 26*s**2 + 24*s**2 + 503 - 277*s**4 in the form o*s**2 + j + z*s + m*s**4 + k*s**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/7))\/(y\/y**(3\/2)))\/(y**7*y*y**(1\/4)\/y) assuming y is positive.\nAnswer: y**(-153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 8 = 2*a, 3*a + 197 = 4*l + 185 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-2*3\/36*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.15, -1.4, 2\/7, 5\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 8 = l, 0 = -140*l + 173*l - 4*g + 4 - 780 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -10) + -7 - (13 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Add -4.34 and 7642.\nAnswer: 7637.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**2. Let l(o) = -7*o + 4. Let b(g) be the second derivative of 14*g**3 - 49*g**2\/2 + 75*g. Let v(d) = -4*b(d) - 49*l(d). Give k(v(w)).\nAnswer: -343*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27278, 27280, 27282?\n\"Answer: 2*o + 27276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 2 + 3)*(-5 - 16*g - 1 + 5).\nAnswer: -400*g - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 3.11 in descending order.\nAnswer: 3.11, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 - (-660)\/(-22)) + 21. Do 18\/887 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 32 - 1 - (436 + -408)) + (-1 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 118549 in decreasing order.\nAnswer: 118549, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 2, h: 2, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 139 = 10*n. Solve -18 = -5*s + n*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3 - (13 - (8 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 286 = 14*z - 88*z + 910, -z - 4 = 5*g for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63))**2*1*-1.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 16*z + 12*z + 18.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 7. Let s(m) = m**3 + 3*m**2 + 2*m. Let j be s(y). Suppose -o - o - 4 = j, z - 2*o - 6 = 0. Solve 5*v - z*a = -3*a + 2, -11 = -2*v + 3*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71 by -259.\nAnswer: 71\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -123*t. Let j(s) = 7*s**2 + 6*s + 6. Let z(r) = 8*r**2 + 7*r + 7. Let x(g) = -7*j(g) + 6*z(g). Calculate x(y(f)).\nAnswer: -15129*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-25))\/((-6)\/(-20)). Suppose v*m + o - 16 = 0, 2*m - 2*o + 0 = -2. Let g(t) = 2*t - 3. Determine g(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434409206 by 22.\nAnswer: -19745873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 7*j + 16. Let p(g) = -4*g - 5. Suppose -4*m - 10 = 2*f, -f - 2*f - 4*m - 13 = 0. Let w be p(f). Is r(w) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**2*m)\/m)**(-3\/16)*(m\/((m*m**(1\/3))\/m))**(1\/27))**(7\/4) assuming m is positive.\nAnswer: m**(-1589\/2592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, o: 5, d: 1, g: 7, r: 1}. What is prob of sequence ovv?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*g = 6, a - 27 = -4*a + g. Is -3 - ((11 + -6)\/a - 31961) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 8:23 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/10)\/y*y**(-42)*y*(y**7)**(-20))**44 assuming y is positive.\nAnswer: y**(-39974\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 103*q + 763. Calculate v(13).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(9\/(-6) + (-3 - 129\/(-30))). Let q = 1 + -1.5. What is the fourth smallest value in s, -4\/7, 0.3, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189755625?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 187*a. Let y(x) = 65073*x. Let q(b) = -1393*g(b) + 4*y(b). Let i(j) = -j. Determine i(q(k)).\nAnswer: 199*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*k + 51, -1 - 2 = -n. Let j = 164\/5 - k. What is the third smallest value in 2, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -11313915\nAnswer: 2\/364965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*l + 62 + 59 + 518*l**2 - 12*l - 120 to u + d*l**2 + i*l and give d.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + (2 + sqrt(891) + -1 - (sqrt(891) + -3*(2 + sqrt(891)))) + -4)**2*4.\nAnswer: 648*sqrt(11) + 32112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1620 - -175032?\nAnswer: 176652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141333101*r*s**3 + r*s**2 + 11*r*s + 159012*r - 3*s**2 wrt s.\nAnswer: 847998606*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -43*j**2 + j + 2. Determine c(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13242 - -13245. Let f = -7 - -11. What is the second smallest value in y, -0.1, f, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(11)*5)**2 + (sqrt(11) - ((sqrt(11) + -2)*5)**2).\nAnswer: 101*sqrt(11) + 4025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 119, 248, 377, 506?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -16*w - 17. Let y(n) = 11*n + 11. What is -5*l(q) - 7*y(q)?\nAnswer: 3*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 - 11*v. Let q(f) = 243*f - 9 - 732*f + 242*f + 246*f. Determine m(q(n)).\nAnswer: -4*n**2 - 61*n - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2195*o. Let t(q) = 2*q**2. Calculate t(v(y)).\nAnswer: 9636050*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16944160 to the power of 1\/2, to the nearest integer?\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 216, 141, 68, -3, -72?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w = -30. Let y be (2\/(-12))\/(w\/18). Let -y*f**3 - 1\/2 - 3\/2*f - 3\/2*f**2 = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60678208 + -498.72.\nAnswer: -60678706.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:33 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 5*i - 42 + 40, -3*i = -5*x + 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 3. Let j be f(0). Suppose j*l + 9 + 3 = 0. Put l, 8, 3 in descending order.\nAnswer: 8, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -19. What is the common denominator of 5\/2 and p + ((-105)\/18 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.06 - -0.76. What is the third smallest value in -1, -4, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:19 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 z when three letters picked without replacement from zzgzzgzgzzzzzzz?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 296.76 + -296. Let j = i - -0.061. Round j to 2 decimal places.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 0.05, -58\/3, -0.8, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4058*z + 101. Let s be y(-9). Let f = s + -22794. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -382.6?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 21, -473, -2 in descending order.\nAnswer: 21, 0, -2, -9, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 88*j - 276. Let x(z) = 2*z**2 + 64*z + 186. Let u be x(-3). Is 70 a factor of p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -396, -2\/15, -2, -3\/2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17712 and -0.3.\nAnswer: 5313.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02260054 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*g - 949 = 0, 3*c = -3*g + 133 + 575. Let i be (4 + -3 + 78\/(-4))*2. Let a = i + 58. What is the highest common factor of a and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 1222031243?\nAnswer: 1222031312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1) + -10 + 5. Let s = k - -4. Let a(l) = -2*l - 3. What is a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28028 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.203 take away 6?\nAnswer: -6.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k - 820. Round k to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-257)\/23644 - (-231)\/(-4140)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 3*i + 12 - 3*i)*((1 + 0 + 2)*(-1 - 1 + 1) + 2 + 1 - 5)*(-3*i - 2 + 2 + (-3*i - 2*i - i)*(-2 + 3 - 3)).\nAnswer: 270*i**2 + 90*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 1. Let v(m) be the third derivative of m**4\/6 + 3*m**2 + 7. Let g(w) = -w. Let a(u) = -3*g(u) - v(u). Give 5*a(f) - 2*o(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millisecond in microseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 2)*(2 + 0 - l - 4) - 4*l + l + l.\nAnswer: -7*l - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2453 divide 1316150046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 16*h - 184. Give i(-18).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 383. Let l(r) = -12*r**2 - 15*r + 30. Let s(q) = 3*q**2 + 4*q - 8. Let f(p) = -4*l(p) - 15*s(p). Calculate f(x(w)).\nAnswer: 12*w**2 + 4596*w + 440067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - -1. Suppose -i - 3*i = x. What is the remainder when 37 is divided by 39\/4 + (-1)\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10305 - 2a?\nAnswer: -10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5783*x - 66803 - 106687 = 0 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - v - 6*v + 5*v - 3*v - 3*v - v - v + v + (-3 - 5 + 6)*(3*v - 5*v + 0*v) + (v + 4*v - 3*v)*(1 - 2 - 3).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*x - 444 = 1986 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Suppose a - d*a + 10 = 0. Suppose -a*s = 3*o - 8, 4*s - 10 = 6. Let i(p) = -p**2 - 2*p + 2. What is i(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 61909 - 1?\nAnswer: 61908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 20 (b) 4\/7 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - c - 2. Let p(o) = -4*o + 5*o + 0 + 8 - 1. Let m be p(-5). Let r be g(m). Solve -r = -5*w + w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 6 (c) 2451 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28.22 and -4.2.\nAnswer: 24.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/20 and -45\/1060528.\nAnswer: 5302640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v**2 + 2*v - 17. Let z(a) = -7*a**2 + 2*a - 14. Let i(b) = -6*m(b) + 7*z(b). What is i(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 9*k + 14. Let d be p(-7). Suppose 2*r - 11 = w - 5, d = 4*r - 5*w - 12. Solve r*b - v = 1, v = 5*b + 1 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -30*d - 303. Does 125 divide c(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**4 + 60*h - h**4 - 75*h wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 32152415?\nAnswer: -32152411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*u + 680, -662 = -0*f + 3*f + 5*u. Let j = -155 - f. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m + 18. Suppose 3*d = k + d - 44, m*d + 92 = 2*k. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:00 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001111110110100110 (base 2) to base 12.\nAnswer: 350832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (183300\/(-65))\/(6\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1836\/(-10413) + 7\/(91\/2). Let g = r - 433\/534. What is the closest to -0.1 in g, 2\/3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2. Let m(p) be the first derivative of -4 - 1\/2*p**2 + 0*p. Determine m(d(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d (base 16) to base 7.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68161?\nAnswer: 68161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -306 - -506. Suppose -13*u + y = -8*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 6:12 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2116 + 130233?\nAnswer: 126115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from uuuuuppupupufuupp?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4689 is divided by 59265\/1161 + (-28)\/602.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 53 - 13 = 0. Let n(u) = -2*u**3 + 31*u**2 - 14*u - 13. Let g be n(15). Solve g*i + 4 = z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 216*a**2 + 8. Let w be c(7). Let j = w - 233099\/22. Calculate the common denominator of 97\/42 and j.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 + 3. Let a = 17\/5 + -63\/20. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 67*s + 3. Let m be x(3). Let n = m - -43. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fibbbbbbibiiiibbbb. What is prob of sequence bb?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 12*f**2 + 22*f - 57. What are the prime factors of r(10)?\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:34 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 16*s**2 - s + 19. What is p(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-8) + 4\/(-16). Let p = g - -3. Let z = 4 - p. Solve z*s - 30 = 3*n, -5*n = -2*s - 2*n + 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.439 - 40.\nAnswer: -41.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -53. Suppose i = -3*d + n, 4*i = i + 4*d + 63. Suppose f - i - 3 = 0. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.66193 millilitres in litres?\nAnswer: 0.00666193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2051 (base 12) to base 9\nAnswer: -4737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 13 = j, 7 = -5*j + 2*c + 33. Suppose 3*x - 9 = 0, j*x = -3*w + 386 + 559. What are the prime factors of w?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*p + 4*k, -k = -0*p + 2*p + 27. Let b be 4\/(3\/p*-1). Calculate the least common multiple of (b\/(-16))\/(2\/(-8)) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 448 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, 0.223, -345\/17 in descending order.\nAnswer: 0.223, -0.5, -3, -345\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 3*l - f - 1740, -2309 = -4*l - 3*f. Suppose 1225 + l = 15*p. Calculate the lowest common multiple of p and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170500 divided by 250?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79 and 15089?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 158*r**5 + 138*r**5 - 90*r**5 + (5*r**4 - 2*r**2 + 2*r**2)*(-r - 4*r + 3*r).\nAnswer: 196*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w + 2*w. Suppose -2\/7*m**2 - 2\/7*m + w = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y. Let q(b) be the first derivative of 28*b**2 + 507. Determine d(q(w)).\nAnswer: 168*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((20\/(-55))\/((-64464)\/(-1496))).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55023 or -55029?\nAnswer: -55029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -15*s - 35, -3*o + 4*s = -98. Calculate the remainder when 181 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v - 96. Let s = -4884 - -4903. What is l(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628467630.\nAnswer: 2, 5, 109, 293, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/32 and 101\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3344\/(-1140)*(-1)\/(11\/10)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 3645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*r - 35 = -4*n, -37 = -4*n - 5*r. Let d(y) = y - 6. Calculate d(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*d = 5*d + 33, 50*q - 30*d = 46*q + 367 + 675 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + q = -157, -2*q = 5*v + 3*q - 295. Let a be (v\/6 - 2) + -2. Solve 6*n - a*p = 2*n - 25, 2*p + 18 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + c**2 - 3*c**2 - 99*c + 101*c + 17*c**2 - 179*c**2 + (-3*c**2 - c**2 + 2*c**2)*(-1 + 4 - 1) to the form z*c + o + m*c**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 1629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -206*(5 + (-54)\/12). Let v = -25 - y. What is the highest common divisor of 52 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 divided by 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255\/(-510))\/(35\/42).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + -202?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 + (5 - 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, 20\/9, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 1816 + 1824 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - 122 - -49 - 42?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/7)\/(h**(-2\/5)*h))\/(h**(2\/7)\/h)**(-4\/5))**(-3\/5) assuming h is positive.\nAnswer: h**(9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6706104 divided by 4\nAnswer: -1676526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -17\/120*w**6 + 0*w**5 + 0 + 0*w + 0*w**4 - w**3 + 17*w**2. What is the derivative of c(z) wrt z?\nAnswer: -51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(9\/3 - 1). Let k be l + 0 - (-5 - -3). Suppose 15500000 = 3*d + k*d. Round d to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101234.\nAnswer: 2, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Suppose d*k = -2*k + 25. Solve 2*z + k = a, -z = -5*a + 18 + 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {o: 1, i: 4, n: 1, q: 5, y: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**3 + 8. Let y(v) = -12*v**2 + 9*v - 9. Let u(f) = f**2 - f + 1. Let s(m) = -9*u(m) - y(m). Give s(a(x)).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**2 + 55*w - 16. Determine l(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*i + t + 6, 4*i + 3*t = 8. Let h = -7 + 10. Suppose -3*k = h*y - 12, 5*y = -3*k + k + 17. Solve i*a - y*a + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 8:08 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + l**2 - l**2 - l - l**2 + l + (-l - l + 0*l)*(1 - 1 - 2*l) - 35*l**2 - 1 + 22*l**2 + 20*l**2 as m*l**2 + a*l + j and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 45*b + 204. Give x(-50).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a9 (base 11) to base 16.\nAnswer: 69c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/9657 and -2\/3219.\nAnswer: 9657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -579, -597, -613, -627, -639, -649?\n\"Answer: y**2 - 21*y - 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -5*h**4\/12 - 13*h**3\/6 - 13*h**2. What are the prime factors of y(-7)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1588 - -1664. Calculate the greatest common factor of 703 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22501240 a multiple of 785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + x - x)*(-3 + 2 + 0)*(0 - 2*x + 0)*(4 + 3 - 3).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 39458321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25061 is divided by 1568.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497539934?\nAnswer: 2, 11813, 21059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 9*w + 1. Let i be d(7). Let q = i + 15. Suppose q*v + 3*v = 0. Solve v*u = 3*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -1251, -2018, -2785, -3552?\nAnswer: -4319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2001 (base 5) to base 11\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0153484913 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 16*f**2 - 1277*f + 13444. Determine r(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -8 + 4 + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 34*s - 3)*(18 - 3*s - 18).\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(68)\/((1*sqrt(576) - sqrt(576)) + sqrt(576)).\nAnswer: -2 + sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*y = -1 - 1, 0 = 5*v + 3*y - 24. Sort -5, v, 3 in increasing order.\nAnswer: -5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*k**3 - 1152*k**2 + 19380*k + 4624.\nAnswer: (k - 34)**2*(17*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164490.92 - -167921. Let a = f - 3501. What is a rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-11 + 3 - (-72 - -84)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -510098*r**2*v**3 - 1126*r**2*v**2 + 130*v wrt v.\nAnswer: -3060588*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*o - 5*a, 0 = 2*a + 2 - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/(9\/297). Let w(h) = -h**3 - 11*h**2 - 6*h - 3. What is the tens digit of w(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1. Let a(w) = -4*w - 10. Let t(i) = a(i) + 3*g(i). Suppose 0 = f - 5*b + 20, 0*f - 3*b = -f - 14. Does 13 divide t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2*n - 131. Suppose 0 = 3*s - o - n, 4*s - s - 139 = -o. What is the least common multiple of s and 35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728578655 to the power of 1\/2, to the nearest integer?\nAnswer: 41576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219203 - 863785\/4. Let s = f - 3234. Let q = 110920 + -8873721\/80. Calculate the common denominator of q and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-115))\/8*2\/4*4.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -12*d - 13*d**2 - 20*d**2 + 84*d + 2*d**3 + 108 + d**3 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-3)\/1 + 1). Suppose r*i + q - 243 = 0, -q = -5*i + 2*q + 291. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -135, -181, -227, -273, -319?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2. Let f(s) = s**4 - 2*s. Let z(q) = -f(q) + 3*o(q). Find t such that z(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8426 less than -8421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -50505 (base 12) in base 3?\nAnswer: -12022012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 36*u + 190. Let y be w(-5). Let t(m) = 14*m - 110. What is the least common multiple of 210 and t(y)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -13. Let c = a - 0. Calculate the remainder when 3 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2410 + 13460 = 5*r, 0 = -4*z + 3*r + 44085. Is ((-21)\/(-12))\/(-7) + z\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -391.97578 + 392. Let n = 0.026577 - g. What is n rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-69) + (-72180)\/831657. Let k = l + -192902\/325431. Calculate the common denominator of k and -79\/10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k - 6. Let p = -41 - -48. Let z be (p\/(-6))\/((-10)\/60). List the prime factors of w(z).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-10)\/4 + 2). Suppose 120 = -b + 4*b. Calculate the highest common factor of b and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4951.\nAnswer: 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77001.\nAnswer: 3, 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 5*f + 47. What is the units digit of t(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 - 10*f**2 - 17*f - 23. Let m(t) = 3*t**3 + 5*t**2 + 9*t + 11. Let z(a) = 4*k(a) + 9*m(a). Let l be z(7). Let x(o) = o + 1. Calculate x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**1)**(-7)\/(d\/((d**1*d)\/d))**(-1)*(d**2)**(-50)*(d\/(d\/(d**1*d)))**(2\/35) assuming d is positive.\nAnswer: d**(-3986\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**3 - 5*g**2 + 56*g - 53. Let d(f) = 7*f**3 + 6*f**2 - 58*f + 54. Let x(y) = -5*d(y) - 6*k(y). Find the first derivative of x(a) wrt a.\nAnswer: 3*a**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 = 0, -a = 133*n - 134*n - 297670. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 525.6, 85, 2?\nAnswer: 525.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -7*i + 2*i. Suppose i = -f + 5*f. Suppose 0 = -f*u - u + 50. Solve 0 = -2*k + m - 8, k - 5*m = -u*m - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-182)\/(-26) + 46*-2. Let i be p\/(-3) + (-4 - 66\/(-18)). Suppose 0 = x + x - 448. What is the greatest common divisor of x and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816 and 62448.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 11*m**2 + 13*m - 4. Suppose 7*q = 2*q + 60. Let c be p(q). What is the highest common factor of c and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24157 divided by -2.\nAnswer: 24157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*8*3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/77, 6.1, 3 in increasing order.\nAnswer: -2\/77, 0.2, 3, 6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683175 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 4*z + 4. Let r = 36 + -21. Suppose f - 4*f - r = 0. Calculate c(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*j + 38*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*v - 6 - 0, -7 = -p - 2*v. Let m be (-1 + (-18)\/(-22))\/p. Let h be (-2)\/3 - -1 - 1. Which is the biggest value? (a) h (b) 4\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -12\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-1 - 4 - (88 - 98))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -213*l**2 - 4. Let v(d) = 640*d**2 + 11. Determine -11*b(p) - 4*v(p).\nAnswer: -217*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 3\/8*y**4 - 2\/3*y**3 + 0*y + 0 - 141*y**2. Let p(g) = -26*g + 11. What is -6*p(b) - 17*s(b)?\nAnswer: 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -69*u + 591. Solve 2*m - y = 3, u = -14*m + 13*m + 4*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4817 - 4782. Calculate the smallest common multiple of 7 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 716005 to the power of 1\/2, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -70. Suppose 5*s = 13*s - w. Suppose -s*a + 9*a = 1029. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 49*n**2 + 624*n + 576.\nAnswer: (n + 1)*(n + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12078 and 15642?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1667 - 5*q + 3943 - 1936 as i*q + x and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/12 and -11\/276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*v - 218*v - 6 = 2*b, -5*v - 9 = 2*b. Calculate the smallest common multiple of (0 - 82)\/(22\/(-33)) and b.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y - 5 + 8 - 10*y.\nAnswer: 3*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*n = -16, 2*o + 52 - 39 = -5*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + f. Let n be j(1). Let k = n - -1\/4. Let p = 8 - 8.3. Which is the third biggest value? (a) p (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 2*a - 2*a**2 - 3*a. Let n be 2 - 3\/2*2. Let y = n + 3. Determine x(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.1 - -9. Let t = -30 - -14.4. Let v = 16 + t. Which is the nearest to p? (a) -0.2 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1616932, -3233799, -4850582, -6467275, -8083872, -9700367?\nAnswer: -11316754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 281, 305, 349, 419, 521, 661?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -7. Suppose 0 = c - 2*v - h, -4*c = c - v - 92. Let a = 7 + -5. Sort a, 5, c.\nAnswer: a, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9060 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = -22*i + 6 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66127 + 529013\/8. Suppose -6*h + h = -10. Which is the closest to 3? (a) 3\/5 (b) m (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*f - 8, 2*y + 6*f = f - 8. Let k be 1350\/40 - 1\/y. Let u = -14 + k. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (16 - (1 - (-6 - (-6 + 3))))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 36*r**2 - 35*r + 59. What is the remainder when 117 is divided by d(-35)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 3, -35, -107, -225?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:20 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -4 - 2) + -1 + (28 - 44)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3170\/(-14265)*3\/8*-4*1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(1216) - -3*sqrt(1216)))**2 + sqrt(1216) + 3)*-5*-4.\nAnswer: 160*sqrt(19) + 6225980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 + 5066*p + 30372.\nAnswer: 2*(p + 6)*(p + 7593)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by -1.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18 - 1552*f + 18 + 1491*f**2 - 25*f wrt f.\nAnswer: 2982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*x - 40, -3*i - 5 - 55 = 3*x. Let b(n) = n**3 + 19*n**2 - 21*n - 18. Let p be b(i). Solve 2 = 4*q - p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**2 - 1369*d + 2734 = 0. What is d?\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*a = -4854 - 17428 + 5057. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 47*w. Let n(y) = 12*y + 8520 - 17037 + 8517. Calculate n(z(x)).\nAnswer: 564*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 4, -2\/270497?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1666 + -1666 + (0 - (-90 - -2 - 0)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (-88 - (-4 - 46 - -14)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 = 3*o. Let a(h) = -6*h + 1. Let f(b) be the first derivative of 7*b**2\/2 - b - 2. Determine o*a(x) - 5*f(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1056, 3644, 7758, 13398, 20564, 29256, 39474?\n\"Answer: 763*w**2 + 299*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -62, 3, -4, 7098, 0 in ascending order.\nAnswer: -62, -12, -4, 0, 3, 7098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*i + 4*d, 5*i = 3*d - 6*d - 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 - -328. Let z = i - 150. What is the greatest common factor of 128 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-2)\/1*-4 - (-190)\/35.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 12:13 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + -0.2. Let v = f - 3. Let i = 1.947 - -0.053. Which is the closest to v? (a) 5 (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5343 by -8.\nAnswer: -5343\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03069? (a) 5\/4 (b) -5 (c) -2 (d) 4 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 68 (b) -2 (c) 15 (d) -2\/17 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 6*x + 0*x + (3*x - 5*x + 3*x)*(3 + 5 - 6) - 66 + 133 - 78 + 2*x - 2*x + 2*x - 2*x + (0*x + x - 3*x)*(1 - 1 - 3).\nAnswer: 5*x - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -3.97. Let c = -3438.4 + 3438.2. What is the nearest to -1 in -1\/3, t, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)\/(10\/(-4))*615\/9471*-28?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {s: 8, f: 2, t: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*y**2 - 6 + 5 + y**2.\nAnswer: -7*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408849122 a multiple of 1766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-40))\/((-1)\/5). Which is the third biggest value? (a) 5 (b) 2 (c) 1\/7 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.85813003, 1, -0.5 in ascending order.\nAnswer: -0.5, 1, 1.85813003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 36*w**2 + 133*w + 1094. Calculate j(40).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 r, 1 f, and 1 s when four letters picked without replacement from {s: 1, k: 1, f: 3, r: 2, b: 1, p: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 713.9851 millimeters in centimeters?\nAnswer: 71.39851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + 23*u**2 - 11*u - 4. Let r be m(11). Let l = 6015.976 - 6043. Let p = -0.024 - l. Put r, p, 5 in decreasing order.\nAnswer: p, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21388331?\nAnswer: 37, 578063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 0 (b) 2 (c) 3644 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*u + 5*u. Let k = u - 3. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2 - i. Let n(w) = w**3 - 3*w**2 - 3*w + 14. Let d(y) = y**3 - 2*y**2 - 2*y + 12. Let g(q) = -14*d(q) + 12*n(q). Calculate -g(r) + 8*x(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*y = 40, 2*y - 9 = -y. Suppose 0 = -m*j - 91 - 244. Is (j\/(-5))\/((-1)\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36140 at most as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-899)\/(-620)*-10*-2*3\/(-1)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 8 = 9*n. Suppose -28 = -5*d - n. Solve -3*h - d = -8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19082 and 104.\nAnswer: 992264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (4 - (24 - 0)) - (-3 + 6 - -3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008717 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(13*f**2 + 15*f**2 - 27*f**2).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 172, -3, -9, -1 in increasing order.\nAnswer: -9, -3, -1, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55980.89 nanometers to centimeters.\nAnswer: 0.005598089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896 + 898 - 5818*r - 2686 + 11639*r + 892 - 5822*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 82730 = 68704 + 441541. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*d**3\/5 + 110282*d**2\/5 + 11134208*d\/5 + 634440 = 0. Calculate d.\nAnswer: -7775, -102, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 - 35*k = 0. Calculate k.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1. Let o(g) = 6*g + 4. What is 2*o(p) + 6*v(p)?\nAnswer: 12*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.733 less than -113.865?\nAnswer: -114.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3616 - 3615.6. Let d be ((-2)\/(-32))\/(2\/(-4)). Which is the closest to d? (a) l (b) 3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -10\/97, -0.3 in increasing order.\nAnswer: -0.3, -10\/97, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -408, -3155, -10592, -25059, -48896, -84443, -134040?\n\"Answer: -390*h**3 - 5*h**2 - 2*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.039553 and -23907018.\nAnswer: -23907017.960447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 + -105. Let f be 33\/6 - (-33)\/(-22). Solve 0*n + f*n = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4557955897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 9*u**2 + 6*u + 781. Let b be i(20). Which is smaller: 5302 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 36*w + 5 - 1 - 38*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, 14, 71, 158, 281?\n\"Answer: y**3 + 6*y**2 + 8*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12332320 (base 4) in base 10?\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10216754 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -93547, -93545, -93545, -93547, -93551, -93557?\n\"Answer: -g**2 + 5*g - 93551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - j + 13 - 11 + j**2 + (j**2 + j**2 - 5*j**2)*(2 + 1 - 1).\nAnswer: -5*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(77)\/(sqrt(11)*1)) + sqrt(102)\/(-4*sqrt(6)*1).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.713842761 rounded to five dps?\nAnswer: -0.71384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 53 = -2*x - 63, 0 = -3*d - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*l**2 + 84 - 87 - 28*l**2 + 3 - 3 - l**2 + (-l - 4*l + 3*l)*(l - 4 + 4) + 4*l**2 + 3*l**2 - 6*l**2.\nAnswer: 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - 101?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/53, 0.1, 3\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -34*f + 17. Let v be k(-2). Calculate the greatest common factor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**7\/(r**8\/(r*(r\/(r**(7\/5)\/r*r*r))\/r)) assuming r is positive.\nAnswer: r**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1642769 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637 at least as big as -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/215150 and -44\/107575.\nAnswer: 215150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4 = 2*p - 20, 2*q - 32 = -4*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 15. Let y(t) = 3*t + 24. Let l be y(0). Suppose 0 = -5*x - 5*w - 55, -3*x + w - l = x. Give c(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/60 + p**4\/3 - 17*p**3\/6 - 5*p**2 + 10. What is z(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3121*r + 3122*r - 6 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6580*-8\nAnswer: -52640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3 - 12, 0 = d - 3*q - 14. Suppose s - d*s = z - 18, 5*z + 2*s = 36. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-110)\/(-33) - 26\/12. Let g(j) be the second derivative of q*j**3 + 0 + 6*j + 3*j**2 + 1\/12*j**4. Determine g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.062 or 3\/5?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 11. Determine l(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 651400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-5) - 102\/(-10). Let v = 12 - n. What is the highest common divisor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 636 and 1176?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 6*i + 6. Let z(l) = -6*l**2 - 17*l + 17. Let j be -9*4\/(-6)*1. Let b(y) = j*z(y) - 17*r(y). Let n(o) = -2*o. Give n(b(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-8)\/24*10\/(-15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 59. Suppose -24 = -3*c + k. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 = -v + 2*l, -5*v + 3*l + 46 = 0. Find the second derivative of -2*o + v*o - 4*o**2 - 2*o wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*d - 1 = 5, l - 3*d + 11 = 0. Which is bigger: l or 3\/86?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 + -5103176.1299.\nAnswer: -5103176.9299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86ba + -2?\nAnswer: -86bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/27 (b) 5 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3*w**2)*(-81*w - 2923 - 1177 + 83*w) + 0*w**2 + w**3 + 0*w**2 as g*w**2 + z + n*w**3 + m*w and give g.\nAnswer: -12300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z. Let a(x) = -5*x + 2. Calculate a(r(m)).\nAnswer: -15*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/24 - 5*z**3\/3 - 3*z**2. Let v be i(-10). Suppose v = -8*s + 9*s. Let o(y) = y**3 + y + 8. Determine o(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w - 13. Let q be i(-7). Suppose q*g + 4 = 16*g. Solve 6*p**2 + 3*p**5 + 15*p**4 + 6*p - 4 + 15*p**2 + g + 27*p**3 = 0 for p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 12*i**3 + 6*i**2 + 12*i - 9.\nAnswer: 3*(i - 3)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.017 + 3.017. Sort 0.5, 3\/2, g in decreasing order.\nAnswer: g, 3\/2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + 1 + -1 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.9 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 96\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n - 3492 = -48*n. Does 33 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*m**4 - 3*f*m**2 + f*m - 1631*m**4 + 28*m**2 wrt m.\nAnswer: -48*f*m - 39144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2292833408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -654518939, -654518935, -654518929, -654518921, -654518911, -654518899, -654518885?\n\"Answer: q**2 + q - 654518941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -232420342 (base 5) to base 14\nAnswer: -1d87bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 2195, -2\/7, -56 in descending order.\nAnswer: 2195, -2\/7, -28, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b82 (base 13) in base 12?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + -30a?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:55 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5.5. Let p = 3 - 5. Let r = 2.1 + p. Which is the third smallest value? (a) r (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 2. Calculate c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1598469 and -1\/9.\nAnswer: 4795407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*((sqrt(18) - sqrt(2)) + sqrt(2))**2 + sqrt(8)\/(sqrt(8)\/(sqrt(6)\/sqrt(3))).\nAnswer: -111 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 - 233*x**2 + 120*x - 460. What is d(116)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 10 - (103 + -112)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - z - 3. Let x be r(2). Let s be (18\/(-36))\/((1\/6)\/x). Let f be (-4 - -2)\/(-12) + (-2)\/s. Which is smaller: 6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4269 and 23343.\nAnswer: 33217089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11637405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + (7 - 7) - 41) + 13.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z - 4. Let s be c(1). Let a(m) be the second derivative of -1\/3*m**3 + 0 + 0*m**2 + 2\/3*m**4 + s*m. Determine v, given that a(v) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -6612714792.\nAnswer: -6612714792.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 311?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {w: 1, y: 1, a: 1, m: 1, r: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2 + 6*s + 328. Let p be g(0). What is the greatest common factor of p and 1517?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, c: 3, i: 1, t: 2, m: 4, o: 4}. What is prob of sequence aac?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 293760 and 957780.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.99956 kilograms to milligrams.\nAnswer: 87999560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1\/3, -12, -9\/121, 0.5 in decreasing order.\nAnswer: 0.5, 1\/3, -9\/121, -2\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000098542753 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -18.00000052. Round f to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -409 + 1226\/3. Let y = -3.94 + 4. Let c = 3.06 - y. Sort -2, v, c in decreasing order.\nAnswer: c, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 6\/5 (c) -10 (d) 52 (e) 6625\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (-12 - -12) - (3 + 3 + -4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c - 50*c - 63 = 0. Let u(d) = -d**3 - 20*d**2 + 19*d - 46. Let r be u(c). Put r, 5, -1, 0 in ascending order.\nAnswer: r, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 13*z = -30. What is the tens digit of (-2)\/z + (1 - (-544)\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -185 - 1?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*d = 9 - 1, 8 = -2*v + 4*d. Suppose -2*u - 16 + 80 = v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10746, 10720, 10676, 10614, 10534, 10436, 10320?\nAnswer: 10186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 35*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 + 0.06. Let o = j + 0.13. Let y = 1.98 - -0.02. Put o, y, -0.5 in increasing order.\nAnswer: -0.5, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:49 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/35)\/(2\/(-10)). Let c be (8\/(-12) + 1)*-32. Let u = c + 11. Is t greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3501785 divided by -5.\nAnswer: 700357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*r - 4*n + 4, 2*n = r + 1. Let y be (5 + 1)*r\/(-6). Solve -y*l = -2*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -479080.85077?\nAnswer: 479080.75077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 11:14 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 10*i + i**2 + i. Let g be k(11). Factor 0*d + 1\/2*d**2 + g.\nAnswer: d**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 373 - -6?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5557058 * 0.85\nAnswer: -4723499.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -637, -675, -725, -793, -885, -1007, -1165?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 34697.727 to the nearest ten.\nAnswer: 34700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3323 - 23*u**2 + 316 - 26*u**2 + 51*u**2 to j*u**2 + m + w*u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361977158 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) 2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1483*b**2. Let t(p) be the second derivative of -p**3\/3 - 57*p - 2. Give t(i(h)).\nAnswer: 2966*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1566, 6261, 14092, 25065, 39186?\nAnswer: 56461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -153 (b) 4 (c) 0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*u + 203 - 13 = 0, -u = -4*l + 242. Suppose 11*a - 6*a = l. Suppose 0 = -a*k + 7*k - 108000. What is k rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3618 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 7:21 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2073*f**2 - 1038*f**2 + 8144*f**3 - 1035*f**2.\nAnswer: 8144*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1101010?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 9*f - 1. Let u be s(6). Let m(a) = a**3 + 18*a**2 - 19*a + 45. What is the tens digit of m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 = -3*q, x + 2*x + q - 6 = 0. Suppose -4*d - 148 = -4*t + 108, 3*d + 128 = x*t. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2966120 or -2966107?\nAnswer: -2966107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 4*o + 4, -8*o = -g + 9 - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -161082 (base 14) in base 12?\nAnswer: -31234a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.216 and 35.9.\nAnswer: 223.1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-16))\/(m**(-19)*m) assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(3*4\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 30*a + 89. Let t be k(-33). Let r = t - -106. What is the least common multiple of r and 18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 3*j - 2*j)*((-j - 3*j + 3*j)*(0 + 0 - 2*j) - 91 - 3936*j**2 + 453 - 362) to the form d*j**2 + l + g*j + i*j**3 and give i.\nAnswer: -7868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.4636 - -0.0736. What is x rounded to 1 decimal place?\nAnswer: -15.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48361711.\nAnswer: 241, 200671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5\/2 + 189*w**4\/2 - 939*w**3 - 19872*w**2 + 42768*w = 0. What is w?\nAnswer: -11, 0, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.8. Let c = i + 0.3. Let a = 2150 - 2148. What is the smallest value in c, a, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 12*q = -2*k + 14, 0 = -5*k - 5*q + 85. Sort -2\/3, 5, k.\nAnswer: -2\/3, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 5, 2, 1 in ascending order.\nAnswer: 1, 2, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 5. Let v be (0\/(-2))\/(0 - 1). Let u be g(v). Suppose -30 = -4*w + 5*h + 27, 2*w + u*h + 9 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3846 - -38463\/10. Let p = 8\/7 - 25\/28. Let v = 14 + -9. Put p, f, v, -0.4 in increasing order.\nAnswer: -0.4, p, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -211 and 0.3.\nAnswer: -63.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1083.811995us to weeks.\nAnswer: 0.0000000017920171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -848*a - 3667*a - 114*a in the form h*a + l and give h.\nAnswer: -4629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1811, -1810, -1807, -1802, -1795, -1786?\nAnswer: -1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 10*l + 12. Let c be p(-9). Solve 10 = -2*z - c*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -2. Let x = -3\/76 + -137\/380. Which is the nearest to 2? (a) x (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 + 108. Let u(o) = -2*o - 2. Let d be u(-3). What is the second derivative of -8*g**4 - 2*g**p + 7*g**d + 3*g wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2142 less than 0.123271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16863 and 268109655?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25063 and 63187?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 773042969 to the power of 1\/2, to the nearest integer?\nAnswer: 27804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13064062 and -0.5?\nAnswer: -6532031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 50538*w - 656840. Give o(13).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 208412 divided by 2?\nAnswer: 104206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, g: 6}. Give prob of picking 2 r.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -123, 18\/17, -60?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1111110100111?\nAnswer: -1111110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3787481 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4967905 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 - (-167)\/(-708). Let p = 293\/501 - 495934\/325149. Let d = i - p. What is the common denominator of 41\/8 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 105 (b) -3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5970 and 13134.\nAnswer: 65670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967*j - 970*j + 4*l = 61, -2*j = -3*l + 41 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7951 + 13877. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*c + 26*c - 11852*c**3 + 32*c + 31*c + 2*c**2.\nAnswer: -11852*c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 809371.6 years?\nAnswer: 809.3716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1360*s**2 + 9*s + 45. Let r(h) = -340*h**2 + 2*h + 10. What is -18*r(m) + 4*z(m)?\nAnswer: 680*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 40*w + 294. Determine a(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 2*r**3 - 6*r**2 + 8*r**2 - 2*r**3 + 2*r**4 + 1 to the form b*r + a*r**4 + h*r**3 + j*r**2 + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -38478 bigger than -38545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1101479859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 25*h - 13*h - 15*h. Suppose 0*k = -5*k - 4*l - 25, -5*l - 27 = 2*k. Let y be 15\/(-2 + k)*-1. Calculate c(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 44 + -44\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -5, 5, -0.099, 0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -915000 = -2*g + 7*g. What is g rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*u - 2*u + 4*u)*(1 + 0 + 1) - 3 + u + 3)*((3*u**2 - u**2 - u**2)*(-2*u - 2 + 2) + u**3 - u**3 - 3*u**3).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - -1766.7221675147.\nAnswer: 1766.7621675147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*l = 1608127 + 193192 - 307094. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -15 + 55. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 51. Let r(p) = -8187*p + 5884. Let a(n) = r(n) - 4*s(n). Differentiate a(m) wrt m.\nAnswer: -8183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*9732.3.\nAnswer: -4866.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2171239778 and 2?\nAnswer: 2171239778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.378 and -3.\nAnswer: 1.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from aizaiaaiizaiazza?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*h\/(h*h**(-1\/4))*h)))**(-1)*(h**(2\/9)\/h*h*h)**(-24)*((h**(-1))**20)**(-7\/12) assuming h is positive.\nAnswer: h**(-227\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128 + (4 - (6 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(7) + 2 - sqrt(7))*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*o**3 + 1095*o**2 + 26804518*o wrt o.\nAnswer: -66*o + 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 33 = -141 - 112. Let y(x) = 2 - 8 - 5 - 6*x**2. Let a(h) = -3*h**2 - 6. Give b*a(f) + 6*y(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**6\/6 + u**4\/2 - 10*u + 6. Let n(w) be the first derivative of b(w). What is the third derivative of n(a) wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**3\/2 + 27350*r**2 + 109430*r + 109440 = 0.\nAnswer: -2, 10944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166719 (base 12) to base 16.\nAnswer: -5de85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, y: 5}. What is prob of sequence ry?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -296109399 divided by -3?\nAnswer: 98703133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4683.1 - -4682.6. Suppose -2*p + 9 = -4*k - 3, -4*k = 5*p + 12. What is the nearest to 0 in 0.1, -0.4, k, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13964 to the nearest one hundred.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/4 + j**3\/3 - j**2 - 3*j - 3. Determine d(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 176.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**6\/360 + h**4\/24 + h**3\/3 - h. Let w(m) be the second derivative of q(m). Factor w(o).\nAnswer: -(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1320*y**2 - 10*y + 39. Let z(x) = x**2 - 3*x + 10. Determine q(t) - 4*z(t).\nAnswer: 1316*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 656786, 2627110, 5910984, 10508408, 16419382, 23643906, 32181980?\nAnswer: 42033604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 984754 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/237914 and -61\/237914?\nAnswer: 237914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = -2*u, -3*u + 5*p + 35 = 6*p. Suppose 16 = 2*i + 2*i. Calculate the lowest common multiple of u and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*w + 823 = b + 835, 36 = -9*b + 10*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128509981 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: Let k = 99.5175 - 0.2175. Let o = 11.7 + k. Let x = o + -111.0000194. Round x to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = z, 2*z - 6 - 7 = 3*m. Suppose 0*t - 5*b = 4*t + 16, z*b + 23 = 3*t. Solve 4*l + 8 = -5*r + 27, -l = -t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - n**3 + 26 - 48 + 3*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.13. Let w = 3.03 - p. Sort -1, -4, w in descending order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331697939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4\/11, 3, -3, -5?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + -1. Let t = -358.1026 - -345.1. Let v = n - t. What is v rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*d - 2*z + 80, 0 = 5*d + 4*z - 136. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5*((sqrt(104) - (3*sqrt(104) - sqrt(104))) + sqrt(104)))\/sqrt(8) - ((1 + sqrt(13) + sqrt(13))*2 + sqrt(26)\/sqrt(32))))**2.\nAnswer: 17*sqrt(13) + 3821\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -282079, -564071, -846061, -1128043, -1410011, -1691959, -1973881, -2255771?\n\"Answer: q**3 - 5*q**2 - 281984*q - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 102*j - 107*j. Let n be (-2444)\/(-468) - (-2 - 20\/j). Solve -v - n*i = v + 2, 5*i + 5 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933737 rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s**2 - 8*s - 4*s**2 + 29*s**2 + 3*s**2 + 8. Let i(a) = -10*a**2 + 5*a - 5. Give 8*i(d) + 5*u(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c98 - -114?\nAnswer: 10ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -94, -203, -390, -685, -1118?\nAnswer: -1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 3. Let n = 1 + 0. Does 12 divide i + -7 + n*13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 6:34 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:28 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -100, 6 in descending order.\nAnswer: 6, 2, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*(10\/8 - (-15)\/(-20))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 32, -4, 1 in ascending order.\nAnswer: -5, -4, 0, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 3 - (6 + -3). Let g(u) = u + 7. What is the remainder when 4 is divided by g(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 779 - 424. Suppose -u = -4*t - 103. What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2583 and 509712.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -4 (c) 2\/5 (d) 0 (e) 4\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = q, 0 = -3*q + 5*a + 6 + 15. Let n = 140 + -141.84. Let k = -7.16 + n. What is the nearest to 2 in 5\/4, q, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 - -11) - (-3 + 2) - -13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598409272?\nAnswer: 2, 74801159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*w = 8 - 29, w + 2 = l. Which is the nearest to 0? (a) 0.3 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3814 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxhfxffhxff. Give prob of picking 2 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 197722 and 2435?\nAnswer: 988610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 1980?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 15.61. Let l = -0.01 + i. Which is the closest to 1? (a) l (b) 0.1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 77 = 4*v - s, 3*s + 10 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*z + 18, -3*z = -4*l - 0*z - 32. Is l <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v**5\/5 + 18216*v**4\/5 + 3673518*v**3\/5 + 81240732*v**2\/5 + 78494694*v\/5 + 19395216\/5 = 0. What is v?\nAnswer: -367, -24, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 275143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3372 - 8?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 6:53 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1305758390 divided by -5.\nAnswer: -261151678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) 2 (c) -2 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33409 or 4377?\nAnswer: 4377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v - 7*v + v + 4*v**2 + (-v + 0*v + 2*v)*(2*v - 2 + 2).\nAnswer: 6*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2 + 0) - 14. Suppose 0 = -3*b - 3*b + 528. List the prime factors of (b\/y)\/((-6)\/27).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -11*c + 15*c - b, -5*b - 16 = 3*c. Let 0*d**c + 0 + 0*d - 3\/4*d**4 - 3\/4*d**5 + 0*d**2 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/20)\/(6\/(-4))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 115c9bd5?\nAnswer: 115c9bd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 4)*(14 - 28*q - 14).\nAnswer: -168*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) - 60\/(-27). Let x = 13 - t. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/19, -245, 2, 2\/3 in decreasing order.\nAnswer: 5, 2, 2\/3, 1\/19, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by -330?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -423, -1820, -4149, -7410, -11603, -16728, -22785?\n\"Answer: -466*b**2 + b + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 - 166080*z = 0. What is z?\nAnswer: 0, 41520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 40*k. Let v(x) = 3059*x - 16146. Let l(o) = 51*o - 270. Let a(s) = -299*l(s) + 5*v(s). Calculate a(y(p)).\nAnswer: 1840*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 70*c + 23. Suppose a + 4 - 2 = 0. Let v = a - -8. Is g(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**6 - 1645*r**5 - 22*r**4 - 6*r**2 - 2634*r + 20.\nAnswer: 120*r**3 - 98700*r**2 - 528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 0.007157.\nAnswer: 0.507157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45 - (33 + -47 + 16)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -111111101?\nAnswer: -111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = 0, 15 = 3*q - 0*q - 5*j. Solve -3*o + 12 = -0*o - a, q = 5*o - 3*a - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2572281 is divided by 2897?\nAnswer: 2642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r - 1. Let a(v) = -3*v**3 - 9*v**2 - 9*v + 21. Determine a(g) + 9*u(g).\nAnswer: -3*g**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 3}. What is prob of sequence rrn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {y: 1, m: 2, n: 1, h: 2, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 618*a**3 + 620*a**2.\nAnswer: -2*a**2*(a - 1)*(a + 310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 10*z + z - 6*z - 10*z.\nAnswer: -25*z - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -416 + 413. Let k(b) = 5*b + 19. Let u be k(d). Solve 0 = -11*y + 15*y - u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-27)\/4 - (4 + 0). Let j = -10 - c. Sort j, -1, 1\/5 in decreasing order.\nAnswer: j, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:15 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 s, and 1 g when four letters picked without replacement from {g: 6, d: 4, s: 3}?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 5. Let r be g(-7). Let t be 70\/5*1\/r. Solve t*s - 25 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1001\/(-882) + (10 - 8 - 26\/14) and 7\/(-33)*(-296)\/(-28).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18041 divided by -10.\nAnswer: -18041\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606337.893 microseconds to weeks.\nAnswer: 0.0000010025428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(7\/6)\/a)\/(a*a**(-3\/2)))\/(a**(2\/7))**26)\/((a*(a*a*a**1*a*a)\/a)\/a**1*a\/(a**6*a*a)*a**(1\/4)*a) assuming a is positive.\nAnswer: a**(-421\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 52 = 4*i. Let y be 108\/16 + -1 - i\/(-4). Solve -y = k + k - 2*n, 0 = -4*k - 4*n - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 447*c - 34023. What is a(-284)?\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/16 - 24*v**3 - 21021*v**2\/8 - 20449*v\/2 - 907. Factor q(r).\nAnswer: -(r + 2)*(r + 143)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -26*t + 29*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49055?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Suppose -5*g + 2*g - s*u = -36, -2 = -2*u. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7197 + -7170. Suppose -3*t - 4 = -5*t. Let h(y) = g*y + t*y + 11*y. Let s(o) = 2*o**2. Give s(h(w)).\nAnswer: 3200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 11, -25, -95, -211, -385?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 19*r**2 - r - 31. Let w(t) = -3*t**3 + 25*t**2 + t + 30. What is -4*i(v) - 3*w(v)?\nAnswer: -3*v**3 + v**2 + v + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139171839 less than -0.0984?\nAnswer: -139171839.0984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 580 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1922*j**4 - 6460*j**3 + j**2 + 21574191*j - 1 wrt j.\nAnswer: -23064*j**2 - 38760*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22532*c**2 - 1145*c + 1145*c - 67600*c**2 + 22533*c**2 + 22534*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.413 + -0.013. Let w = -40.5 + 147.4. Let l = w - 107. Which is the closest to 0? (a) o (b) 2\/21 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - g = 19, -52 = -4*i + 6*g - 10*g. Suppose 2*n - i - 32 = 0. Solve 3*o = -n + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*j = -35, -5*f + j - 4*j - 40 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 64. What is the units digit of (-2)\/6 - l\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:06 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6*w + 9. Suppose -6*c + 2*x - 68 = -c, 0 = -2*c - x - 20. Let a be (170\/3)\/10 + 8\/c. Solve w*y = -2*t, -3*y - t = -a*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -4037*n**5\/5 + 1293*n - 1285. Differentiate h(b) with respect to b.\nAnswer: -16148*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 338*o + 1670. Calculate f(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1100 and 32225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -b + 889, -4*v + 643 + 1984 = 3*b. Calculate the greatest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.123 + -0.073. Let g = f + -0.05. Let q = 3.9 - g. What is the closest to -1\/3 in 2, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/5146277 and 44\/5.\nAnswer: 25731385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 - 4*h**4 + h**5 - 2*h**4 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4529131.5 to the nearest one thousand.\nAnswer: 4529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + -4)*-2 + 4 + 5*-1*sqrt(1100) + 2.\nAnswer: -52*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u + 3*u + 4*u + 4*u to p + r*u and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -52)\/(73 - 72).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 + 298276228*b\/3 + 11121088523738498\/3.\nAnswer: 2*(b + 74569057)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 125, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 15. Suppose 5*a - 3*a = x. Let g be (-8)\/56 - 1071\/(-294). Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 415020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p**2. Let i(y) = -152*y**2 + 345*y. Give i(w(t)).\nAnswer: -21888*t**4 + 4140*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 330\/(-15)*6\/20*45\/27\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -37 + 1 + 11 - (0 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -3. Let p = 759.7 - 760. Which is the second smallest value? (a) y (b) -13 (c) p (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 48 = 25*h - 0*h - 20*h, -s - 12 = -26*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 27*l**3 - 2*l**2 + 2*l. Let v(j) = 2726*j**3 - 203*j**2 + 203*j. What is -203*k(w) + 2*v(w)?\nAnswer: -29*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 5*q**4\/12 - 4*q**3\/3 - 3*q**2 + 14*q. Let z be p(1). Solve 13*n = -11 - z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -247, -238, -239, -256, -295?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 172778 and -24.3925.\nAnswer: 172753.6075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 38) + (12 - 1) + -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-14)\/(-12)))\/(62\/((-71176)\/(-738)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 16*m - 9. Let w be b(11). Let r = w + -51. Solve -8*d + 4 = -r*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 11:17 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 258 - 577 = -29*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*a**3 - 57*a**3 + 357*a**3.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w - 24. Let k be v(8). Suppose -3*h = k + 58. Let g be (-4)\/(-6) - h\/(-45). Solve b - 2*b + 3 = g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 44 - 54 = 5*b, -5*b = -5*x + 215. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (5 - 4 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39533 or -39531?\nAnswer: -39531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.8. Let j = 0.722 - -0.278. Which is the nearest to n? (a) j (b) 2\/21 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 + 4*k - 4*k)*(1 - 1 + 2*k)*(-29 - 26 + 20).\nAnswer: -280*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozb when three letters picked without replacement from oorqcrzbq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*b - 7*b + 3*b + 7*b + 7*b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 12?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(133)*3 - sqrt(133)) + sqrt(133))\/sqrt(7).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 718\/(-1 + 0) - -7. Let d be c\/189 + (-4)\/7 + 7. Suppose d*j**3 + 1\/3*j**4 + 8*j + 3 + 22\/3*j**2 = 0. Calculate j.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4949 = -5*r, -2*k - 289 = 4*r - 2783. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6923 and -27\/7?\nAnswer: 6923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2685 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*m + 1502, -d - m = 4*m - 1517. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaayyyyaaoy. Give prob of sequence ayy.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3538003 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-20) - 1 - (-1 + (-93)\/(-4))) + -4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 18*m + 4. Calculate the remainder when 431 is divided by u(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 + 319. Let p = 3392 - 3380. Calculate the remainder when f is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5\/5 + 4*h**4\/5 + 276*h**3\/5 - 772*h**2\/5 - 32*h\/5 + 1008\/5 = 0 for h.\nAnswer: -9, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11728 - 11727.982762. What is j rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2443 divided by 222.\nAnswer: -2443\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 392*z**4\/3 - 82*z**3\/3 - 310*z**2\/3.\nAnswer: 2*z**2*(z - 1)*(196*z + 155)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s**2 + s - 1. Let w(b) = 3*b**3 - 6*b**2 - 6*b + 3. What is w(r) + 6*z(r)?\nAnswer: -3*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*l + 0*l - 12*l + (0*l - 4*l + 6*l)*(0 - 2 + 1) + 4*l - l - 2*l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 6. Let u be c(-10). What is the second derivative of 12*r**u - 6408*r**3 + 6408*r**3 - 3*r wrt r?\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11975 + 11974.8. Sort -1, 8, f, 3\/26 in decreasing order.\nAnswer: 8, 3\/26, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 9*z**2 - 14*z**2 + 10 to the form p*z**2 + o + u*z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**10*s*s**6*s*((s*s**(-1\/9)\/s*s*s)\/s*s*s)\/s*s**(-2\/5) assuming s is positive.\nAnswer: s**(877\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = -5*v + 206, v - 3*y - 48 = 0. Let r = v - 38. Factor r*l**2 - l + 2*l + 2*l**3 - l**2.\nAnswer: l*(l + 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4\/4 - b**3\/3 + b**2\/2 + 3*b + 8. Let f be x(0). Suppose -f*n + 211 = -92. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, -10, -33, -64?\n\"Answer: -4*r**2 - 3*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5 - 0. Let l = 25 - x. What is the greatest common factor of 330 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 13\/(-5)) + 24\/(-40). Solve r = -18*o + 5 + 85 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 17*o - 6. Let k be p(16). Let d = k - 6. Solve -10 + 2 = -d*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/18702 and 15\/22.\nAnswer: 205722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-112 + 136)*90\/4 and 486?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111122 (base 3) in base 11?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*p**2 - 72*p**2 - 74*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1319039 times -0.1?\nAnswer: 131903.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -638*i**2*s**2 - 25813*i**2*s + 8*i*s**2 - 2*s**2 wrt s?\nAnswer: -1276*i**2 + 16*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 14 = -5*o + 25, 3*u - 5*o + 87 = 0. Let y be u\/3 + -1 + 6. Which is the nearest to -7? (a) 11 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence momm when four letters picked without replacement from mgbmzmo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 14*p**2 + 1. Let d be s(2). Suppose f - 3*l = -d, -3*f - 138 = -2*l - l. What is the common denominator of f and 83\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 75*p = 70*p + 30, -5*p = -10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -12*y**2 + y. Let k be r(-1). Let u = k - -16. Calculate the smallest common multiple of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.934 + 0.066. Let r = -34 + f. What is the third biggest value in 4\/5, r, 0.05, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 7:07 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (1 - -2)*1\/(21\/35)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36995 not equal to 36994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 3*l**5\/10 - 5*l**4\/8 - l**3\/2 - l**2. Let v(f) = 17*f**2 - 15*f - 2. Let x(u) = 4*p(u) - 3*v(u). Factor x(y).\nAnswer: 3*(y - 1)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*j**2 + 2)*(-37 + 19 + 17 - 15*j**2) as c*j + l + q*j**3 + n*j**2 + x*j**4 and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(8) - sqrt(8)*1)\/sqrt(4))*-4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6628519.2271302 + -0.14.\nAnswer: 6628519.0871302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 + 7134*g - 246015 = 0. Calculate g.\nAnswer: 35, 2343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/42, -46, 0.1, 36?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 3*f - 14)*((-24 - 2*f + 24)*(0*f - 4*f + f) + 2*f**2 + 4*f**2 - 15*f**2).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1558079165 to the nearest integer?\nAnswer: 39473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -323 divided by 17\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -4\/13 (c) -6 (d) 0.5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2080689 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2925\/(-30)*6\/4*(-168)\/54 and 1950.\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**3 - 7*u**2 + u - 10. Let x(n) = -7*n**3 + 5*n**2 - n + 7. Calculate 5*q(f) + 7*x(f).\nAnswer: f**3 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515107933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i + 64. Calculate l(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w - w + 4*w - w to the form l*w + a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 232648786 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/11 - 12*c**2 - 758*c\/11 + 3408\/11.\nAnswer: 2*(c - 71)*(c - 3)*(c + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0*z**3 - z**3 + 45*z - 9 - 56609*z**2 + 56608*z**2. Determine o(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211414 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g + 3. Let n be h(-6). Suppose 49*p - 48*p - 90 = 0. Let i = p - n. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 - 2*w**3 + w**3 - 2 + 3*w + 2*w**3 + 0. Let o be j(-3). Let i be o - -1*(2 - 3). Let z(p) = -p - 2. Calculate z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 9 = m, 0 = m - 8*o + 6*o - 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-30)*d)\/(d**(26\/3)\/d)*(d\/(d**(-2\/27)\/d))\/d**(27\/5))**(24\/11) assuming d is positive.\nAnswer: d**(-42112\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -160. Suppose v + 22 = 5*i. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.909 - 4.909. Sort 1.4, 2, -1, g.\nAnswer: g, -1, 1.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 213924 or 2353162\/11?\nAnswer: 213924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 12*d + 83. Determine f(-9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhshhwhhhhhh. Give prob of picking 1 h and 1 w.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 5387 (c) -1 (d) 5 (e) -0.2 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = -2*k - 827, -1357 = -5*o - 2*k. Suppose -483 = -9*t + o. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405.1817ml to litres.\nAnswer: 0.4051817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -21983*k + 1 + 21981*k + 7379*k**2 + 1544*k**2 in the form l + b*k + p*k**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/1360773 and 35\/1818.\nAnswer: 2721546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1037*z - 11479 = -299*z + 4139 + 9766 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -200*c**3 + 3*c**2 - 7*c - 24. Give k(-2).\nAnswer: 1602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) -3\/4 (c) 0.31 (d) 1327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 90944 = 2*b, 3*b - 5394 = -5*c + 108275. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489100 and 600.\nAnswer: 2934600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194213921?\nAnswer: 11, 17655811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from cvvvyudcvcdvvvlcy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -31\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 10*d - 11. Let f be i(11). Let v be (0 - 1) + 2\/1. Let a be v*1\/(-2)*f. Solve -3*m + t + 8 = a, -3 = 2*t - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*l**2 - 14 + 151*l - 71*l**2 - 151*l.\nAnswer: 2*l**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 275 and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + -7.4. Let m = 9.021 + n. What is m rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104142627 divided by 22353\nAnswer: 4659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1\/3, 3 in increasing order.\nAnswer: -4, -1\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16593134.\nAnswer: 2, 53, 156539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 8. Let f(g) = g - 1. Let c be f(m). Suppose 4*t - 18 = 2*w, -w - 4*t + 13 = c*w. Is -1\/6 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -19812?\nAnswer: 7924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-3 - (-2729)\/910). What is i rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 774*k**2 + 21*k**3 - 774*k**2 + (-3*k - k + 2*k)*(-5*k**2 + 4*k**2 - k**2) - 2*k**3 - 5*k**2 + 5*k**2 + (-2 + 2 + 2*k)*(3*k - 2*k**2 - 3*k).\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 984127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 2. Suppose -2*v = -4*o + m*o - 2560008, 4*v - 1280016 = o. What is o rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 39*c - 176. Give g(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 7*c + 2. Let k be t(-7). Suppose -n + k*l - 5*l = 10, -4*l = 16. Let p = 1 + n. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 30156153591\nAnswer: -30156153588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2))\/c*c*c\/((c**(1\/5)*c)\/c) assuming c is positive.\nAnswer: c**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*c**(-1)*(c**(-1\/5))**(-2\/177))**(-20) assuming c is positive.\nAnswer: c**(3532\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*w + 561, -3*w - 2*r = -8*w + 559. Let b = w - 61. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -79*x**6\/120 - x**5\/30 - 469*x**3\/6 + 1129*x**2. What is the derivative of u(y) wrt y?\nAnswer: -237*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-378 + 1062 + 564)*(-2*g + 0 + 0).\nAnswer: -2496*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4 = -3*j, 2 = -j - j + s. Let g(a) = -a**2 - 16*a - 38. Let q be g(-12). Sort j, -3, q in increasing order.\nAnswer: -3, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 7:00 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28408290?\nAnswer: 2, 3, 5, 946943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.02987525 to three decimal places.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 287.8267 - 0.5267. Let g = 276 - v. Let p = g - -10.9. Which is the third smallest value? (a) 4 (b) 11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5280.3 less than -17?\nAnswer: 5263.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 8*j**2 - 13*j + 7. Let h be l(5). Solve 0 = -3*g - 5 + h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 = -4*w + 3*r, 0 = -0*w - w + 3*r + 119. What is the remainder when w is divided by (-292)\/(-8) + 2\/(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-2\/7)*s*s))**(-4\/9)*((s**(-2\/17)\/s)\/s)\/((((s**(2\/29)*s*s)\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(-5303\/31059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 48 (b) -4 (c) 1\/2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 52*k**4 + 3*k**2 + 3*k - 7. Let p(j) = 104*j**4 + 5*j**2 + 5*j - 15. Let y(r) = 3*p(r) - 5*z(r). Differentiate y(q) wrt q.\nAnswer: 208*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -206*k + 335. Suppose 23*y = -493 + 194. Is a(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2785*w. Let y(x) = -4*x**2. Calculate t(y(u)).\nAnswer: 11140*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*c. Which is smaller: c or 1\/10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5526\/(-2149)*(-14)\/(-3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.211 - 0.2. Let k = 1311.41899869 + -1311.43. Let j = h + k. What is j rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 1, c: 2, t: 1, m: 1, y: 1}. What is prob of sequence mc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 127270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.321 times 306375.3?\nAnswer: 98346.4713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.71 times -37.77?\nAnswer: -102.3567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -892.\nAnswer: 3\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Suppose -m - l*m = 0. Suppose 3*s + u = 17, 2*s + m*u = 2*u - 2. Solve 0 = -3*r - r + 4*c + 12, -s = c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -504 >= -506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1668 + -568. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -63. What is the least common multiple of d and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**4\/12 + o**3\/3 + 3*o**2 - 7*o. Let d be k(3). Solve v = -d*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4\/26 + 16*g**3\/13 - 45*g**2\/13 + 44*g\/13 - 89. Suppose r(q) = 0. What is q?\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-75110.\nAnswer: 6008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 4:28 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q + 20. Let b be p(13). Let t = -99 - -185. Let a = t + b. Calculate the greatest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 176*m**2 - 3479*m + 6113. Determine s(-153).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2965 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1376 and 17071?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5820486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k**2 + 2*k + 6. Let x(z) = -12*z**2 - 3*z - 5. Give -5*c(v) - 6*x(v).\nAnswer: 17*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/279 and -61\/310.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 117, 1\/2, -0.2, 3\/4 in decreasing order.\nAnswer: 117, 3\/4, 1\/2, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 222.\nAnswer: 5994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {m: 1, f: 1, w: 1, y: 2, q: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 951 - 835. Calculate the remainder when 404 is divided by p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101001200 + -2?\nAnswer: 101001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159210.07 + 160144. Let t = z + -934. Are -37 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 9*s + 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s, -s + 85 = 3*f + s. Suppose 4*g - f = -g. Suppose -g*j = -81 - 144. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(945\/(-54))*2\/(-30)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -6338073?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -6. Let o be (4\/(-6))\/(m\/75). Solve 3*w - 4*w = 3*x + 10, o = -5*x - 3*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of (-4)\/(-20) - (-9 - (-9668)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*u + 5*u = -3, 2*u - 14 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + 1)*1\/2. Suppose g - 1 = 5*x. Is x bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 19*t**2 + 597*t - 11746. Give b(21).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 3719?\nAnswer: 3715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + o)*(224 - 102 + 496).\nAnswer: 1236*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*a + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-4 - (-165)\/(-12))\/((-4)\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 4*o + 6. Let a(y) = -7*y**2 + 8*y + 12. Let n be ((-88)\/(-77))\/(6\/21). Let v(p) = n*a(p) - 9*s(p). What is v(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 4*u**2 + 8*u - 4. Let y be -1 - -3 - (-2 + 0). Suppose y*b - s - s - 24 = 0, b - 13 = 4*s. Is i(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68 times 0.3?\nAnswer: -0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 27*s - 9. Let c(f) = 13*f - 4. Let l(p) = -9*c(p) + 4*u(p). Let d(b) = 4*b + 5*b + 4*b - 5*b. Give d(l(z)).\nAnswer: -72*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 5 (c) -0.7 (d) -0.09 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14890 is divided by 122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*p - 9*p - p)*(3*p**3 - 2*p**3 - 2*p**3) + (-p + p + p**2)*(-4*p**2 + p**2 + 4*p**2) - 2*p**4 + 0*p**2 + 0*p**2.\nAnswer: 4*p**4 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -26*m**2 - 51*m + 95. Let p(l) = 5*l**2 + 10*l - 19. Let g(z) = 2*d(z) + 11*p(z). Is g(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37352 is divided by 4149?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*s + 131*s - 535*s + 131*s + 128*s + 57.\nAnswer: -6*s + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a**2 + 11*a. Let i(x) = 3*x**2 + 4*x. Let v = 20 + 5. Suppose 19*h = 14*h + v. Let k = -6 - h. Give k*i(b) + 4*w(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(60)\/sqrt(5))\/sqrt(4))**2)*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 4 - 4 - o. Let y(b) be the second derivative of -b**5\/12 + b**3\/6 + 2*b. Let p(f) be the second derivative of y(f). Calculate p(d(z)).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 506, 974, 1430, 1868, 2282?\n\"Answer: -u**3 + 475*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -193, -185, -173, -157, -137, -113?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -108, -250, -450, -708, -1024, -1398?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(12) + sqrt(300) + -1 + 4 + -1.\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-45)*-3 - ((-64)\/(-48))\/(-2). Let k(s) be the first derivative of -27 + 1\/14*s**2 + 0*s + q*s**3 + 3\/14*s**4. Solve k(b) = 0.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 919072 and 64.\nAnswer: 1838144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1*(-568698)\/32968.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -0.6. Let r = n - 0.4. Sort r, -1, 4.\nAnswer: -1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32180035 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000808547645 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/6*(-27)\/6. Let a = 84 + -44. Is t\/a + (-970)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345078, 690156, 1035230, 1380300, 1725366, 2070428, 2415486?\nAnswer: 2760540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 10*b**2 - 59*b - 2. What is n(8)?\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 2, u: 2, r: 1, j: 9, z: 2}. What is prob of sequence yr?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 1, -32, -5 in decreasing order.\nAnswer: 3, 1, -5, -9, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 993021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 483*c**2 - c - 1. Let d be (31\/(-62))\/(2\/4). What are the prime factors of p(d)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 509649453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1. Suppose d - w - 4 = 0, 2*w + 16 = -d - w. Let c(f) = f**3 + 1. Let z = 2 + -1. Give d*r(j) + z*c(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r**2 - 8*r + 65. What is the hundreds digit of v(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1024 + -1021. Solve 17 = -v*o + 29 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (164\/5 + 17)*5*11\/33.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 0*x - x + (5 - 1 - 2)*(2*x - 3*x - x) + (1 - 5 + 2)*(0*x + x + x) + (-5*x + x + 3*x)*(-7 - 5 + 4) as w*x + s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9790041043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 - 20*k**2 + 106*k\/5 + 204\/5.\nAnswer: -2*(k - 2)*(k + 1)*(k + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5880 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -10475?\nAnswer: -62850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - -2. Calculate the highest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 28*m**2 - 48*m. Is n(-29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2 + b + 2. Let k be s(0). Suppose -m - k*r = -3, 2*m + 3*r - 6*r = -1. List the prime factors of (13 - 2) + (-1)\/m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159174403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*a - 6 = 0, -2*z = a - 2 - 1. Let y(h) be the first derivative of -9\/2*h**2 + z*h + 7\/3*h**3 + 4. Let y(f) = 0. What is f?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149448 - -41845373\/280. Find the common denominator of p and -9\/110.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 71*m**2 + 0*m - 124 - 2\/3*m**3. Solve n(j) = 0.\nAnswer: 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8 - 1 - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2466269*h**4\/10 + 12331343*h**3\/10 + 17263873*h**2\/10 + 7398793*h\/10 - 3\/5 = 0. Calculate h.\nAnswer: -3, -1, 2\/2466269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -441 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 5*c + 18. Let b(y) = y**2 + 6*y - 18. Let u(f) = 5*b(f) + 6*n(f). Calculate the least common multiple of 16 and u(0).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/6 + -1 - 8\/24. Solve 2*i = -t*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 149. Let i(p) = 2*p - 156. Determine -3*i(j) - 2*u(j).\nAnswer: 2*j + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + 4*p**2. Let a(n) = -8*n + 15*n + 3*n**3 + 3*n**2 - 7*n. Suppose -2*b - b = 0, -k - 3*b = 3. Let q = -1372 + 1376. What is k*v(d) + q*a(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -365946 (base 10) in base 11?\nAnswer: -22aa39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -8\/37605?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5179*z**3 - 3426*z**2 wrt z.\nAnswer: -31074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 - 4*l + 12. Let m = 4693 - 4687. Determine w(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/1225 + 148273\/7350. Find the common denominator of -31\/60 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1710.3971 and -163.11.\nAnswer: 1547.2871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 10. Let b be j(7). Suppose -b*h + 2*q = -7, -h - 11 = -4*q - 0. Suppose s + f = 12, -2*f + 0*f + 54 = h*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/10496 and 63\/2398336.\nAnswer: 4796672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 768248 a multiple of 1157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 t when two letters picked without replacement from yyyyytyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**7\/14 - 3*v**6\/10 - 3*v**5\/4 + 3*v**4\/4 + 2*v**3 + 50*v + 70. Let f(u) be the first derivative of r(u). Solve f(z) = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(858\/(-36))*1\/(-6)*-2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2)*(-4 - (-2 + -1)). Suppose 6*n = 5*n - 5*v + 31, f = n + 3*v - 23. Which is smaller: n or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-108)\/(-8))\/((-3)\/4). Calculate the common denominator of 8\/(-32) + 25\/w and -47\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 11890*u + 7068605.\nAnswer: 5*(u + 1189)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001928 rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -69*d. Let u(y) be the third derivative of -9*y**4\/8 - 1568*y**2. Calculate l(u(a)).\nAnswer: 1863*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 84*s**2 + 71*s + 7641. Determine g(82).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) -1 (c) 8 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, q: 1, s: 1, p: 4, o: 5}. Give prob of sequence sopq.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 + 2*n**3 - 2*n**4 + (-4*n**2 - 2*n**2 + 5*n**2)*(0*n**2 + 2*n**2 - n**2) + (13 - 24 - 16)*(-2*n**4 - n**4 + n**4).\nAnswer: 51*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2250 (base 7) to base 9\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 77517*v - 35 + 10548*v + 19)*(4 - 4 - 2*v**2).\nAnswer: 133938*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*s + 2*q - 117, 4*s = 4*q + 116. Calculate the remainder when 348 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -8*p + 5*p + 8697, -p - 5*m = -2907. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.37 in 0.4, -0.2, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3840764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*g + 40. Let f(v) = v**3 - 5*v**2 + 1. Let o be f(g). Factor 1\/3*m**2 - o + 2\/3*m.\nAnswer: (m - 1)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvg. What is prob of picking 1 v and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/490)\/((-48)\/(-21)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 156*f + 5577. What is u(-84)?\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -6*a + 44. Solve -8*w = -a*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m + n - 5, m + 4*n = 20. Suppose -x = -1, -5*g + x + 139 = -m*x. Solve 4*a + 3*v = -0*a + g, a - 4*v = -12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(875) - sqrt(875))*-2 - (sqrt(875)*-1*-1 - sqrt(875) - sqrt(875)))\/((-1*(sqrt(14) + sqrt(56)))\/(sqrt(200)*-2 - sqrt(200))))**2.\nAnswer: 312500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15231200 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*i - 10 = -7*n, -i + 8 = 4*n. Let u = 1.8 - 2. Which is the nearest to u? (a) n (b) -1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 4*i + 8. Let k be x(6). Let f be ((-2)\/4)\/(6\/k). Which is bigger: f or 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let i(u) be the first derivative of -3*u**2 + 8. Determine x(i(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6788448703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q - 4, -2*q = -4*d - 2950. Let r = 1079 + d. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1 (c) 4422\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2614 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**4\/24 - a**2. Let d be w(3). Suppose -3*n + y + d*y + 78 = 0, 0 = -y - 3. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 + (8 - (7 + -2)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 - 5)*-2 - 4. Let c = x - -36. Suppose -7*a + c = 5*q - 3*a, 4*q - 5*a + 20 = 0. Is 2\/5 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 33 = v. Solve 4*m = 3*d + 2*d - v, 4*m + 5 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -187 < -43071\/230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 456, 0.08702, -0.3, 0.2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 5:14 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-7))\/(-5) + (-6)\/(-21). Solve -y - 1 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and -1075777.\nAnswer: -61319289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30410 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose 0 = p*h + 25 - 93. Suppose 0 = 3*w + 2*w - 325. What is the remainder when w is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 25. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlll when four letters picked without replacement from lllvllvllllv.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 528 = 4*x - 6*g, -3*x - 5*g + 436 = 0. What is the lowest common multiple of 2 and x?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -29.65?\nAnswer: -29.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21487 divided by -7?\nAnswer: 21487\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21103.\nAnswer: 47, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20.9553517 and -76.\nAnswer: -55.0446483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8.13873 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11570, 22525, 32858, 42569?\n\"Answer: -311*p**2 + 11888*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -5. Let w be 6\/(-4)*30\/h. Suppose 171 = w*l - 4*j - 86, -2*l - j + 108 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020001011100 - 11111?\nAnswer: 1020000222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1627038, 6508182, 14643430, 26032782, 40676238?\nAnswer: 58573798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 11*m + 23. What is the units digit of w(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 5360630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 9. Let f be q(15). Let g = -1 - -7. Is g equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 20. Let t be z(5). Let f be 123\/189 - 1 - 16\/72. Which is the smallest value? (a) 3 (b) f (c) 1\/2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/140 and -61\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 20*a + 113 = 22*n, -10*n = a - 51 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 + 12)\/195)\/((-168)\/(-60)).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7459809, 7459806, 7459803, 7459800, 7459797, 7459794?\n\"Answer: -3*w + 7459812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + 5*d + 7. What is the tens digit of u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10 - 13*x + 14*x - 3. Let j be u(-6). Let o(q) = 4*q**2 + 3*q - 3. Let i(v) = -4*v**2 - 4*v + 4. Let w(a) = -3*i(a) - 4*o(a). What is w(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 387, -3 in decreasing order.\nAnswer: 387, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -64039+-9567\nAnswer: -73606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31378?\nAnswer: 2, 29, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 185*o**2 - 1415*o + 52. Determine t(177).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105713496 a multiple of 3606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-121193)\/(-21) - 18\/189?\nAnswer: 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16.1? (a) -325.6 (b) -2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:07 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13237932 divided by 6\nAnswer: -2206322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/6*18\/(-4). Let n = 10 - c. Sort 2\/11, n, -4 in descending order.\nAnswer: 2\/11, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1125) + (sqrt(1125)*-2 - sqrt(1125)) + sqrt(1125) + sqrt(1125))\/(1*sqrt(45)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)\/s)\/s*(s**4\/s*s)\/s)\/(s*s**(-1\/2))**(-18) assuming s is positive.\nAnswer: s**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 1\/5*d**5 - 1\/2*d**3 + 0*d**4 + 0 + 0*d**2 + 4*d. Find the second derivative of m(f) wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 < 24747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = j - 40. Suppose -35*l + 270 = -2215. Is j not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*f**3 + 20*f**3 + 63 + 5*f**2 - 55 as q + j*f**2 + s*f + h*f**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -763)*(-2)\/15*-3. What is the highest common divisor of i and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 2 + 5.\nAnswer: 7 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2\/5 - 34*w\/5 + 32\/5 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 8*k + 18. Let d be q(-4). Suppose 4*m = -4*x + 508, -d*m = 4*x - 327 - 181. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + p + 1. Let o(l) = 12*l**2 + 9*l + 9. Let n(q) = -9*c(q) + o(q). Let j(k) be the second derivative of 25*k**3\/6 - 21*k - 1. Determine n(j(s)).\nAnswer: 1875*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -413 + 434. Solve 3*n - 31 = -5*m, 5*m + b = -n + 48 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6181 and -7766 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1246*k - 134. Let g be t(-5). Suppose 5*r - 4*v + g = 8*r, 4060 = 2*r + 4*v. List the prime factors of r.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(215\/99)\/(-5). Let h = -18\/11 + f. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f + 3. Let p be l(5). Suppose -5*d = -5*y - 100020, -3*d = -8*y + p*y - 60020. Round d to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + q = 7, 107*q - 25 = -3*i + 103*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 4*c**2 - 27*c + 13. Give g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3105 + -578. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125205983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1027062829\/5310 - -967102\/5. Calculate the common denominator of 44\/135 and a.\nAnswer: 15930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 18*k - 3. Let p(i) = -35*i + 5. Determine -3*p(s) - 5*y(s).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**4\/12 - d**3\/6 + 5*d**2\/2 - 4*d. Determine m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.0502 tonnes in nanograms?\nAnswer: 53050200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(81) + sqrt(9))*-4.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6767083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-4 - -17)) + (-159 - -173)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5 - (-8 + (46 - 24))) + 66.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j - 11*j + 11952 = 0. What is the remainder when j is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*w + 6, 3*w = -v - 8 - 4. Let d = 1288.517 + -1288. Let t = 0.417 - d. What is the smallest value in t, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 51, 83, 117?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 22*s + 22*s + (0 - 3 + 1)*(2*s**2 - s**2 - 2*s**2) - 2*s**2 + s**2 + 0*s**2 + (-s + 0*s - 2*s)*(-30 + 30 + 7*s) as r*s**2 + o + f*s and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169891952?\nAnswer: 2, 3, 491, 49639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.5, -9\/43, -0.4, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 0 - 1 + 2 + 11. What are the prime factors of n(11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006611092 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/7)\/(38\/(-133)). Find the first derivative of -3*c**3 + c**r + 0 - 4 + 2 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(10*o + 7*o - 7*o)*(3 + 3*o - 3)*(3 - 1 + 3 + (-3 + 4 - 2)*(-7 + 3 + 2)).\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*7\/210*18.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 7. Let v(o) = -o**2 - 6*o + 1. Let n be v(-6). Let t = n + 1. What is the closest to 0 in t, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31150600 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 8*u + 12, -4*c - u = -3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/1639 (b) 0.4 (c) 6 (d) -0.5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 123?\nAnswer: -123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6852 is divided by 5937?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 3*h + 7. Let c be p(7). Let r be (2\/((-4)\/3))\/(132\/(-176)). Suppose 7*z - 1225 = r*z. What is the greatest common divisor of c and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4556.397km in centimeters?\nAnswer: 455639700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -15, -27, -43, -63?\n\"Answer: -2*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, 2, 2\/13, 5\/9 in ascending order.\nAnswer: -1\/3, 2\/13, 5\/9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1227 - -1?\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 4098.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 47*c**2\/2 - 207*c\/2 + 90 = 0 for c.\nAnswer: -4, 3\/4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/5)\/(7\/(-245)). Let a be (-299)\/(-65) - (-2)\/5. Find the first derivative of -34*u - g - a*u + 7 wrt u.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208792 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 70, -0.4, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 2*i - 5*i. Let a(w) be the third derivative of -w**7\/2520 + w**4\/24 - 7*w**2. Let m(b) be the second derivative of a(b). Determine m(j(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 5799486?\nAnswer: 5799486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*w**3 - 78*w**3 + 47*w**3 + (-w + w + 2*w)*(w - w - w**2) + (-w**3 + 3*w**3 - w**3)*(-4 + 1 + 5) in the form v*w + m*w**3 + u + q*w**2 and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(7\/(70\/4)). Let n be 11\/3 + (-4)\/6. Sort n, -5, u in decreasing order.\nAnswer: u, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*f - 72 = f, 2*f = -4*m - 260. Let u = 131 + m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*2\/3. Let r be v + (0\/2)\/(-1). Let l = -5\/56 + 157\/504. Is l <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6*(73 - 5). Let q be 1\/1*(n - -8). Let u = -10 - q. What is the lowest common multiple of 3 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3399094 to the power of 1\/2, to the nearest integer?\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 16600827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j**3 - 195*j**2 - 20704?\nAnswer: -9*j**2 - 390*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*q - 50, 3*f + 15 = 3*q. Solve 4*l - 19 = -3*w, -5*w - 2*l + 13 = -f*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 - 104*k + 5408.\nAnswer: (k - 104)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6*(-9)\/72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -84, -127, -170, -213?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 12*y + 9. Let z be g(-6). Suppose 0 = -z*s + 507 - 111. Suppose 0 = -9*q + 11*q - s. Calculate the least common multiple of 12 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 25. Let h be t(-10). Suppose -2*x + 1804 = h*g, 2*g = 4*x - 2*g - 3636. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-105)\/(-18)))\/(36\/(-480)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 84, 667, 2256, 5355, 10468, 18099, 28752?\n\"Answer: 84*r**3 - r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 103436071.2ns?\nAnswer: 0.00000017102525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02892 - 44.72472865.\nAnswer: -44.69580865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -905 and -5?\nAnswer: 4525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 4. Let h be (3\/(-2) - -2)*0. Suppose -5*j - 45 = -4*x, h = -3*x + 2*j - w + 35. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66158.99ns in microseconds?\nAnswer: 66.15899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let x(p) = -20*p**2 - 4*p - 9. Let w(o) = 10*c(o) + 2*x(o). What is the second derivative of w(u) wrt u?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1037 and -37.\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156831.\nAnswer: 3, 61, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 + (-420)\/(-36))*18\/(-40). Let a = 3 - 4. Let y = 2 + a. What is the nearest to 0 in g, y, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1656 - 15?\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + z**2 - z + 11*z**4 + 21*z**4 + 10*z**4 - z**3 to v + t*z**4 + d*z + h*z**3 + k*z**2 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37414 bigger than 2706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 122767*a**2 - 2933*a - 2933. Let y(s) = 628*s**2 - 15*s - 15. Let z(c) = -15*k(c) + 2933*y(c). Let v(n) = -19*n**2. What is v(z(w))?\nAnswer: -3335659*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, -13, 0.4, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -3, -5 in ascending order.\nAnswer: -8, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 82558 from -5356.\nAnswer: -87914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -243, -840, -2011, -3948?\nAnswer: -6843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -6873*c**5\/20 - 7*c**4\/12 - c**3\/2 + 35*c**2\/2 - 29*c. Let t be k(-5). Round t to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/61 (b) 2\/9 (c) 3 (d) 2\/15 (e) -7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 46, 100, 166, 238?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 0*o + 0*o**3 + 3*o**2 + 0*o**4 - 3 + 6\/5*o**5. What is the second derivative of x(f) wrt f?\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 2. Let o be j(5). What is the second biggest value in 0.5, o, -1\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 12*h + 266. Suppose -p + 105 + h = 0. Suppose f = 1166 + p. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-3 - (4 - 2))) + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.988 - 10. Let o = -0.061 - p. What is o rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 55, 92, 149, 232, 347, 500, 697?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:32 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-715)\/(-99) + 1\/(45\/(-10)). Solve -l - 5*j = -6*l + 10, -4*j = -5*l + h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-1)\/2)*8. Suppose -22 + 57 = 5*b. Let m be (-70)\/40*2\/b. What is the second smallest value in m, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -9716 + 2180. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 1:58 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 47891903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138 - 124) + -23 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + z = 1986. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111101 - 11010101000111101101?\nAnswer: -11010101000100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, y: 3, b: 6, w: 2}. Give prob of picking 3 b.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, 111, 331, 659, 1107, 1687, 2411, 3291?\n\"Answer: 2*n**3 + 36*n**2 + 2*n - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -6. Solve -2*n + i = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 1 + 7. Let u be (k\/14)\/(12\/28). Which is the nearest to 1? (a) -2 (b) u (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z - 5. Let y = 86 - 26. Suppose -2*u + 11 = -4*j - 29, 0 = -4*u + 4*j + y. What is the least common multiple of z and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 74*r - 961. Let p be h(13). Let q(j) be the first derivative of 3*j**4\/4 - j**3 - 4*j + 1. Let f(g) = g**2 + 1. What is p*q(o) + 2*f(o)?\nAnswer: 3*o**3 - o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*p + 52*p + 44*p + 2*p**2 + 41*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403 + d**3 + 395 - 798.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -97*w - 2989. Determine h(-31).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 38*j**2 + 13*j - 524. Calculate p(38).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y - 42*y - 72 = -60*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 2474910.\nAnswer: 19799280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/54)\/(11\/(-66)). Let u = 0 + 0.4. Let s = 9\/94 + 29\/188. Which is the nearest to s? (a) -0.07 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**5\/15 - x**4\/24 + 94*x**2. Let w be 0 - (4 + (-7 - -4)). Determine u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-30) - 272398\/(-6). Round p to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1873811 is divided by 394?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 37 + 25, -3*z + 2*j = 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 158*v - 94. Does 11 divide u(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3\/40 (c) -1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-128))\/((-1)\/4). Let l(b) be the first derivative of -1\/2*b + 4 - 1\/4*b**2 + 1\/6*b**3 + a*b**4. Factor l(n).\nAnswer: (n - 1)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (33 - 38) + (3 - -3170). What is the greatest common divisor of 108 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31356 and 466542?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 8*q = 771. Let n = -8479\/33 - q. Which is the biggest value? (a) -3 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-34 - ((24 - 178) + 5))\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427 + -387. What is the remainder when 439 is divided by o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1213030 (base 6) to base 2\nAnswer: 1111101010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = 30*p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3951*v - 6720*v + 867581 = 77927 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(7\/49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 3:13 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 601 + -595. Let q(y) be the first derivative of -o + 0*y**2 - 1\/4*y**4 - y + 0*y**3. Differentiate q(p) with respect to p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19+-7904073\nAnswer: -7904073.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 21*q**3 + 4*q**2 + 220*q + 437. Give w(-2).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-30)*10920\/(-234).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*i - 6305 = 171*i + 76*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 + (-96 - 103) - (20 + -1) - -4?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.128561km to centimeters.\nAnswer: 12856.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -96016, -192016, -288016, -384016?\n\"Answer: -96000*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/30))\/q)\/q*q*q)\/q*q*q\/(((q**(5\/7)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(893\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6187852774 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7731593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 12*z - 19. Let b be k(9). Solve 5*g = 2*q + 28, -3*q - g + 0 = b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-324)\/(-20) + (-16)\/80.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2)\/(-2)*2. Let d = -16902 - -16900. Which is greater: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 4435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 10 - (-594293)\/(-22097)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 109 in -1, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14711317, -29422679, -44134041, -58845403, -73556765?\nAnswer: -88268127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633014 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-44))\/((-4)\/32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 968.1 - 908. Let d = 60.10000377 - w. Round d to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:20 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 + 200*x**3\/3 + 346*x**2\/3 + 140*x\/3 = 0 for x.\nAnswer: -1, -2\/3, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -4 + -1 + 2 + -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3020 + 13203?\nAnswer: 10123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((-4)\/(-24)). Let n(z) be the second derivative of z**4\/12 - z**3\/2 + z**2\/2 - z. Let y be n(2). Sort 2, l, y.\nAnswer: y, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-680)\/867 + (-2)\/(-17). What is the fourth smallest value in 8, -0.5, -4, n?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -190*q**5 - 325*q**4 + 270*q**2 + 80*q - 55. Let j(n) = 7*n**5 + 12*n**4 - 10*n**2 - 3*n + 2. Let p(c) = 55*j(c) + 2*k(c). Factor p(y).\nAnswer: 5*y*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 20*r + 15. Let v be o(20). Solve 3 - v = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-1\/19)\/y*y)*y\/y**(-13)*y*(y*y**16)**37 assuming y is positive.\nAnswer: y**(12256\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 475*s**2 + 6*s - 225. Let z(q) = 950*q**2 + 13*q - 450. Let d(n) = -13*i(n) + 6*z(n). What is the first derivative of d(k) wrt k?\nAnswer: -950*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 4*u**2 + 4*u - 3. Suppose 4*q - 5*q - 5 = 0. Let w be r(q). Is 2 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 52628*i + 51716*i - 104344*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2695 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 721, 784, 947, 1258, 1765, 2516?\n\"Answer: 8*o**3 + 2*o**2 + o + 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 188476034 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 310\/(-7285)*-4653*4\/(-11)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5610, -5547, -5444, -5301?\n\"Answer: 20*w**2 + 3*w - 5633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**7\/1008 + w**6\/720 + 71*w**5\/60 - 49*w**2. Let g(q) be the third derivative of x(q). What is g(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3729 is divided by (2 + (-180)\/8)*(6 + -8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k + 187. Determine j(-24).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 - 70. Which is the second biggest value? (a) 0 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2936*a**4 - 3*a**2*d + 3*a**2 - 64*d - 335 wrt a.\nAnswer: -11744*a**3 - 6*a*d + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - 5) + (-2 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 less than or equal to 275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 533431603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2355 + -2353. Solve -10*l - z*w = -13*l + 6, 4*l + 2*w - 22 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*t + 405 = 169*t. Calculate the lowest common multiple of t and 150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 10*k + 4*k**2 + 5*k**2 + 11*k + k**3. Let x be g(-6). Which is smaller: x or -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66835151*p - 51468102?\nAnswer: 66835151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*d - 34. Let x(y) = -y**2 + 9*y + 8. Let g be x(d). Let a(t) = t**2 - 4. Let i be a(0). Sort i, g, -3 in decreasing order.\nAnswer: g, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102854 is divided by 559.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.89? (a) -1 (b) -1\/5 (c) -5\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let m(l) = l**3 + 7*l**2 + 5*l - 4. Let a be m(-6). Let c(i) = 9*i**a + 3*i - 4*i + i. What is c(k(v))?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2810908739 to the power of 1\/2, to the nearest integer?\nAnswer: 53018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -4 - 5 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1668 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -1, -280?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 11:03 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - 1 - (199 + -188 + 1 + -83)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 + 8. Suppose 3*m = 3*c - 63, 0*m + 2*m + 5*c = -14. Let g = -6 - m. Calculate the lowest common multiple of j(0) and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -6 + 60 - (-6 + 13 + -17)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 - 68. Suppose -g - h - 161 = -3*g, 5*g - 3*h - 402 = 0. Calculate the greatest common divisor of g and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 + 102104423?\nAnswer: 102110144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-324)\/48)\/27*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2215)\/245 - -9)*7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*u - 555504 = 179*u - 2783. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 4 - 3*y + 5*y**3 + 4*y to the form s*y + t*y**3 + m + p*y**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245664 and 3594.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - 26*t**2 + 19*t - 273*t**2 + 48*t**2 wrt t.\nAnswer: -502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-18) - 4\/(-8). Let y = -24 + 23.6. What is the closest to -1 in 1, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3235206*d**2 - 59059*d + 8437. Let o(y) = -767*y**2 + 14*y - 2. Determine -8437*o(c) - 2*q(c).\nAnswer: 767*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let j = 10 - g. Let h = j + -1. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1230)\/(-1475) - 60\/75.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060309.\nAnswer: 37, 28657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 70. Suppose 4*i - 69 = 2*j - 61, -3*j - 15 = -3*i. Is ((-34466)\/h)\/((-2)\/(-3)*i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 18?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b = 155 + 53 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1972*h - 2045*h + 1695 - 162 = 0 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(1\/6))\/w)*w*((w\/(w\/(w*w**16\/w)))\/w)\/w)**(-11\/5) assuming w is positive.\nAnswer: w**(-209\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 16*k - 7 - 9 + 24. Let w = 2 - -1. What is the tens digit of v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*d = -62, -3*d = 2*t + 3*t - 55. Is (-1)\/(2 + (-29)\/t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Suppose 22 = -b*w + 2*w. Let d(m) = 2*m + 4. Let f be d(9). Calculate the greatest common divisor of f and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*o = 2*o + 13*d - 60, -7*d = -28 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -338, 6, -42 in increasing order.\nAnswer: -338, -42, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*h + 61 = 1286 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 592\/(-24)*(-9)\/2. Suppose 3*u - 117 = -2*k + 2*u, -2*k = -u - r. What is the greatest common divisor of k and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/7 or 255?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 5*y**4 - 2*y**4 + (2 - 2 + 2)*(0*y**4 + 5*y**4 - 4*y**4) - 10*y**4 - 7*y**4 + 21*y**4.\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m**3 + m**2 + 4*m + 6. Let s(o) = 35*o**3 + 5*o**2 + 11*o + 21. Let w(y) = -7*h(y) + 2*s(y). Let b(x) = -x**3 + x**2 - x. Give -2*b(k) + w(k).\nAnswer: -5*k**3 + k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10124*b - 5050*b - 4934*b.\nAnswer: 140*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.043 + -0.075. Let p = -0.268 + o. Let j = 0.2 - 0. Which is the nearest to 0? (a) -3 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from uuujw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -939*z - 258213. What is b(-275)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2777*y**2 - y + y**4 + 3*y + 703*y**2 + 1775*y**2 to the form n*y + j*y**2 + l*y**3 + w*y**4 + d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58147777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -382*a**2 - 1090*a wrt a?\nAnswer: -764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*i + 4*q, 2*i - 5*i = -4*q - 48. Let n = i - -588. What is n rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*a**3 + 1051*a**2 + 1061*a**2 - 2112*a**2.\nAnswer: 48*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2535*b**2 + 5*b**3 + 1 + 2561*b**2 - 3 in the form m*b**3 + w*b**2 + g*b + v and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f - 1. Let j(v) be the first derivative of 16*v**2 - 8*v**2 + 24 - 9*v**2 + 28. Give j(q(w)).\nAnswer: -18*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -47, -106, -189, -296, -427?\n\"Answer: -12*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -4400\nAnswer: -26400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 285376*f**2 - 303735 wrt f?\nAnswer: 570752*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(39)*-1)\/sqrt(3) + (sqrt(65)\/(sqrt(180)*1 + sqrt(5)))**2 - ((sqrt(1573) + 1 + sqrt(1573) + -3 + sqrt(1573) + 2)*1)**2.\nAnswer: -693680\/49 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -230392 (base 10) to base 16\nAnswer: -383f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 10. Determine s(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*w*y**3 + w*y - 2527*w - 21*y**3 - y**2 wrt y?\nAnswer: 27*w*y**2 + w - 63*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**2 + j. Suppose -k - 2*v + 1 = 0, -34 = k - 3*v - 2*v. Let c = k + 10. Determine l(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 1 - (4 - 174). Suppose l + 15 = 8*b. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*i - 168, -5*k + 279 = -3*i - 0*i. Let c = k + -40. Solve c = -4*o - 2*q, q + q = 2*o - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 2*q**2 - 8*q**2 + 8*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 156 = 12 - 66 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = -151 + 63 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2997\/(-15) + 0 + (-28)\/140. List the prime factors of 594\/8 - (-5)\/v*10.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Suppose 0 = v - 0*v - q. Let o = 2391.8 - 2392. Sort -13, o, v.\nAnswer: -13, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12513645*h**2 - 31812711*h?\nAnswer: 25027290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 0*u = 3*u - 17, -a = 5*u - 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4842 - -dd45?\nAnswer: 14787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697 a factor of 489491165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let a(p) = 6 - 25 + 11 - 13*p**2 - 4*p**2 + 4. Determine a(f(s)).\nAnswer: -68*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20772364*i**2 - 14621200 wrt i.\nAnswer: -41544728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 6*h + 3. Let p(l) = -2*l**2 + 2*l + 2. Let m be p(4). Let j = m + 36. Suppose -6*t = -8*t - j. Determine z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 111111210112020200?\nAnswer: -111111210112020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 939775\/70482 + -5\/23494. Factor -4\/3*j**2 + 0 + c*j.\nAnswer: -4*j*(j - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2133 + 1?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**4\/12 + o**3\/6 - 3*o**2. Let k be d(1). Suppose 6*m - 5*m - 153 = 4*r, -k*m + 481 = -r. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:43 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 22 = -19. Let x = 7 - v. Let d(u) = -u**3 + 10*u**2 + 3*u - 4. Is d(x) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(36*t + 2*t - 18*t) + 1 - t - 1.\nAnswer: 39*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5736 + 5772. Solve 0 = -37*g + 25*g - m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -29. Let l = -84 - -124. Let r = n + l. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351925818?\nAnswer: 2, 3, 227, 258389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by 13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/2 - 1\/(-2). Does 22 divide (k - 2) + (66*2 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + h**2 + 85 + 3*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000112328994 to 7 decimal places.\nAnswer: 0.0001123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1768 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80536 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25.25285ng?\nAnswer: 0.00000000002525285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 4*b - 7. Let p be h(7). Let y be 3\/7 + 50\/p. What is the third smallest value in y, 7, -1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-735) - (5 - (-1410)\/(-175)). Solve -4*j + j + 13 = q, p*j = -2*q + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86073422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**5 + 15*i**4 - 75*i**3 + 85*i**2 - 30*i.\nAnswer: 5*i*(i - 1)**3*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + sqrt(539) + -2 + sqrt(539))*5)**2 + 0 + -4*(-1 + -6*(0 + sqrt(11))).\nAnswer: -2076*sqrt(11) + 121379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/30 - (-161)\/(-161)*(-21)\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - f**2 - 6*f + 21. Let u(z) = -z**3 - 3*z + 10. Let j(c) = 4*h(c) - 9*u(c). Let x be j(4). Suppose -g = -x*g. Is 2\/7 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Let v = 133 - 129. Which is the closest to 1? (a) -3 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-28) - 39\/7. Let x be (-80)\/d*(-2 + 5). Calculate the highest common divisor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 s, and 1 h when three letters picked without replacement from {s: 2, c: 2, h: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*c**5 - c**4 - 5*c**5 + 16*c**5 + 3*c**5 + 5*c**2 - 5*c**2 + (4 - 5 + 0)*(c**5 + 0*c**5 + 0*c**5).\nAnswer: -14*c**5 - c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*s + 68*s - 24 = -12*o, 5*o - 10 = 2*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 divided by -5?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 4) + 6\/(-2). Let w be a + 2 + -11 + 116. Suppose 41 = 4*m + 5. Calculate the highest common divisor of m and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79212618.\nAnswer: 2, 3, 4400701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5aa9 (base 16) to base 2.\nAnswer: 101101010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**3\/3 + 5*j**2 - 11*j. Let n be h(-6). Let d(u) = -2070*u. Let s be d(n). Round s to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479259810.\nAnswer: 2, 3, 5, 5325109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304) - (-1*sqrt(2304) + sqrt(2304) - sqrt(2304)))*5)\/(-2*sqrt(128) + (sqrt(8) - sqrt(40)\/(-1*sqrt(5) - sqrt(5)))).\nAnswer: -240*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 17 = 57. Let r = 4 + q. Let g = r + 26. Calculate the highest common divisor of 60 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3*0 - -3. Suppose -u*d - 38 = -t - 0*d, 130 = 3*t - 5*d. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260334636.\nAnswer: 2, 3, 4253, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -103524767 - -10?\nAnswer: -103524757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 241*p**3 + p**2 - p. Let j be y(1). Let l = -178 + j. What is the greatest common divisor of 27 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 21*a + 75*a - 2*a**2 - 16*a + 3 to the form o*a**2 + m*a + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91113*m**6 + 139504*m**2 wrt m.\nAnswer: -10933560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 4*d. Let g be s(4). Let q = 7 + -9. Let v be 10 + (-258)\/12 + 11. Which is the closest to g? (a) 0.3 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8350 and 31062?\nAnswer: 776550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 4021281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-70))\/((-12)\/(-28)). Let j be (-94)\/18 - -5 - (-106)\/72. Let k = 12.5 - 13. Which is the fourth biggest value? (a) m (b) j (c) k (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 - 294*c**4 + 564*c**3 + 1158*c**2 - 567*c - 864 = 0. Calculate c.\nAnswer: -1, 1, 3, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224281.\nAnswer: 17, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58373 plus 0.12?\nAnswer: 58373.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = 7*k - 8*k, 2*t = -6. Let y = 5 - -2. Let m be y\/55*(-4)\/(-14). Is k at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let l = -147.5 - -125. Let x = l - -22.8. Which is the second smallest value? (a) x (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 87, 145, 195, 231, 247?\n\"Answer: -m**3 + 2*m**2 + 59*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 3*g + 23587*g**3 - 23570*g**3.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 19*f + f - 22041. Calculate the remainder when f is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7029.\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2\/5)\/f)*f)**42*(f**(-1))**(-6) assuming f is positive.\nAnswer: f**(744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x. Let h(y) = -y + 5. Let b = 1 + -7. Let f = b - -1. Let z(d) = 2*d - 12. Let v(a) = f*z(a) - 12*h(a). Give v(n(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -3\/7, 3, 2, -3\/209, 3\/4?\nAnswer: -3\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12672969 and -59.9.\nAnswer: 12672909.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*w**2 + 520*w**2 - 120*w**2 + 525*w**2 + 555*w**2.\nAnswer: 1408*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*d - 7. Let h(c) = -c**3 - 2*c**2 + 4*c + 3. Let j be h(-3). Suppose -d = -l - j*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -546 + 689. Calculate the remainder when l is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -8755.\nAnswer: -3502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 + -21.24. Let n = 26 + s. Let q = n - 4.9999997. Round q to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -14737534.\nAnswer: -17\/14737534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 + -193. Let v = 61 - 63. Suppose 10 = -2*u + 2*d, -u - 4*u - d - 19 = 0. Put q, u, 1, v in decreasing order.\nAnswer: q, 1, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 4)*(0*b - 3*b + 5*b) - 3*b - 4*b + 6*b + (-b + 3 - 26 + 10)*(4 + 3 + 9) to the form s*b + h and give h.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 3*o**2 + 4*o - 1. Calculate g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -4*z**5\/25 + 2*z**4\/5 - 4*z**3\/15 + 16. Factor j(c).\nAnswer: -4*c**2*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 15 = -3*d, 5*m = 4*d + 19 - 3. Let b(o) = 7*o + 222 - 437 + 217. What are the prime factors of b(m)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*r - 933*r = -2954 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 10746*x. Let l(i) = -4*i**2. Calculate c(l(f)).\nAnswer: -42984*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 5*s. Suppose 6*x = s*x + 130. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*l + 3*l. Solve -l*i - 1 = 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 1180 (b) 5 (c) -0.169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 8 + -2 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5 = n + 4*h, 4*n - 5*h = -64. Let z(j) = -j**3 - 9*j**2 + 7*j + 52. Let u be z(-9). Let c = u - n. Let v(a) = a - 4. Give v(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712508405?\nAnswer: 5, 7, 20357383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2773, -2761, -2747, -2731?\n\"Answer: d**2 + 9*d - 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 33. Solve -g - m - 4 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 618 - 414. Let o = v + -113. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28209 and -62.67491813.\nAnswer: -28271.67491813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.0414 + 5.986. Round d to two dps.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.25805 rounded to 2 decimal places?\nAnswer: 42.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11452 + -11447. Solve f*v = 9*h - 8*h - 8, 2*v = 5*h + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78962, -78944, -78920, -78890, -78854, -78812?\nAnswer: -78764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 8:07 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 7*b**2 - 5*b + 1. Suppose -2*p + 6*d - d = -28, -d + 12 = 4*p. Is f(p) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 104, -310*w + 121*w + 94*w + 9*k = -94*w - 231 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 26 = 4*i, 1222 = 2*j - 2*i + 1238 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-62 - (10 - ((8 - 22) + 23)))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*d**3 + 177*d**3 - 22 + d - 107*d**3 to s*d**2 + l + k*d + v*d**3 and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/30 in 0.2, 4, -4, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2\/9)))\/(f**4*f) assuming f is positive.\nAnswer: f**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*f = -429, -1 = -f + 1. What is the remainder when 274 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 22\/7, -90, -279, 2, 2\/7, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/7 and 65\/5584.\nAnswer: 39088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62006084 - -404661649. Let q = -342655567.56999807 + s. Let m = q - -2.57. Round m to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - (-335)\/9. Let o = z - 25. Suppose -5*t + o = -t. Solve -2*p = t*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - (-54)\/8. Suppose 4*l - 14 = -2*f, 2*f = f + 5*l - j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28958\/12*(-22 + 6 - -22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avvvvvaiivava. Give prob of sequence ivi.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28152 divided by 2\nAnswer: -14076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/3)*(-8)\/6. Suppose 2*x - 1084 = f*c, 15 - 5 = 2*c. Suppose 9*d - 6*d = 4*i + x, d = 4*i + 193. What are the prime factors of d?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2159 or 1116977\/517?\nAnswer: 1116977\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25441 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -113, 18, -10, -2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**9\/s*s**9 assuming s is positive.\nAnswer: s**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-570)\/152*(-8)\/3. Suppose 5*o + 3*v - 44 = 0, -o + 10*v = 11*v - f. Solve 3*r - o + 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12046207?\nAnswer: 59, 204173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6238.96 + -6239. Let q be ((-3)\/18)\/(1\/(-3)). What is the second smallest value in q, d, -0.07, 2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*y + 17. Suppose -3*g = -2*g - y. Solve -g*p = -5*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -14. Suppose 2*t + 213 = h*t. Calculate the remainder when t is divided by ((-2)\/13 - 1517\/533)*-7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y - 49. Let r = -108 - -199. What is the remainder when r is divided by f(-9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1377744 (b) 1\/40 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 18, b: 2}. What is prob of sequence bb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 121576891669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(240\/81)*20. What is the greatest common factor of w and 2295?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1850430?\nAnswer: 2, 3, 5, 61681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 951061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/3)*j**(-2\/7))\/(j**(2\/5)*j\/(j*(j**0*j)\/j)*j) assuming j is positive.\nAnswer: j**(-422\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -238196 divided by -28?\nAnswer: 8507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/((-20)\/(-21) + -1). Let s be (1 + -2 + 0)*(5 - p). Solve 2 = -s*c, 4*c = -4*t + 2*t + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {g: 1, k: 2, v: 2, w: 2, c: 1, t: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1084416 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(180) - (sqrt(180) + -4 + sqrt(180) + 2) - ((sqrt(180) - (sqrt(180) - ((sqrt(180) - (-2 + sqrt(180))) + -2))) + sqrt(180)))**2*6.\nAnswer: -1728*sqrt(5) + 26064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92 - (-118 + -10)) + 103 + -7?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1152 (base 6) to base 2.\nAnswer: -100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 0.8212?\nAnswer: 9.0332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 134543.\nAnswer: -1\/134543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 23 - (-3 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -6. Let b be 332\/6 - k\/(-18). Suppose -b = -4*x + 2*x. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25442)\/(-12) - 4 - 2. Let n = j + -2107. Let v = 6\/29 - -75\/58. What is the common denominator of n and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from fhffffqhfhfw.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116973 and 6273.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2*1\/2). Let f be y + (-4 - -2) - 3. Let q(u) be the third derivative of u**6\/120 + u**5\/20 - 5*u**4\/24 - 5*u**3\/6 + u**2. Give q(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 + 444*r**3 + 39*r**2 + 11*r + 21 wrt r.\nAnswer: -48*r + 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q + 44*q - 2*u = 10, 6 = 3*q - u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.1, -26, -4, 0.1, 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 2, v: 1}. Give prob of sequence vt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1346.5208631 - 0.061\nAnswer: -1346.5818631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 258313 and 46966.\nAnswer: 516626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68480119?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 182096*l + 4144869152.\nAnswer: 2*(l - 45524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84\/5 - 736\/45. Sort q, 0.2, 11 in descending order.\nAnswer: 11, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = -10*z + 868. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3583*z = 3586*z + 3*a - 33 + 12, 5*z + a - 55 = 0 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 13 + 3. Suppose r = -r + x. Suppose -r*c - 3*c = -50. Calculate the highest common divisor of 15 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11350763*h**3*t + 2*h**2*t + h*t - 2*h - 47378*t wrt h?\nAnswer: -68104578*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + 0.3. Let z = 1 - 1. Let l = 0.7743 - 0.3743. Which is the nearest to j? (a) 1 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 47742*q + 47726*q + 3*q**2 - 8 - 95522*q. What is n(18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 12 = 12. Let k(j) = j**2 + j + 29. Give k(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5646 - 5646 + 22*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 2*h**5 + 4*h**2 + (-5 + 2 + 2)*(3*h**5 + h - h) + (-h**3 + 0*h**2 + 0*h**2)*(-2*h**2 + 3 - 3) - 79*h**2 - 10*h**5 + 79*h**2.\nAnswer: -9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*r**4 + 33*r**2 - 33*r**2)*(5 - 3 + 0 + 0 + 4 - 6 + 2 - 6 + 5 + (-3 - 2 + 4)*(5 - 3 - 1) + 3 + 8 + 1).\nAnswer: 180*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + -1.97. Let k = 1068 + -30975\/29. Let l = -41\/116 - k. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15340072 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: Let t = 2.07 + -2. Let c = 0.14 + t. Let j = -0.64 - c. What is j rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2568 is divided by 372?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4232*v**2 - 3 - 3 - 3165*v**2 + 6)*(3 - 3 + 6).\nAnswer: -44382*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -28, 16, 69.\nAnswer: -28, -20, 16, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, m: 5, s: 6, e: 1, l: 1, u: 3}. Give prob of picking 1 u, 2 m, and 1 s.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1231? (a) -2\/119 (b) 0.3 (c) -3\/7 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1477*o + 1448*o = -116 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1397\/5, 1, -5 in descending order.\nAnswer: 1, -0.5, -5, -1397\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**2 - 3*g - 5. Let t(x) = -x**2 + 24*x - 133. Let b be t(16). Let u(l) = -11*l**2 + 4*l + 8. Give b*u(n) - 8*r(n).\nAnswer: -n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7315 is divided by 3628?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 30 - 12 = 0. Calculate the highest common divisor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 880dd?\nAnswer: -880df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, e: 2, w: 2, r: 3, g: 3}. Give prob of picking 2 w.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = 2*u + 2*u. Let i = -97 + u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 614222.\nAnswer: 614222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {q: 4, a: 3, b: 6, m: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 1. Let q(t) be the second derivative of t**4\/12 + t**2\/2 + 780*t. Let j(l) = l**2 + 4*l - 1. Let z be j(-4). What is z*s(c) + 2*q(c)?\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 722, 2973, 6754, 12089, 19002, 27517, 37658, 49449?\n\"Answer: 4*p**3 + 741*p**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/28855 and 86\/856695.\nAnswer: 24844155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-85)\/(-2)*(-2704)\/(-130).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86501 - 86501.48881. What is a rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by 3892155?\nAnswer: 122\/3892155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 462\/(-55) + 3 + 2\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500, -990, -1478, -1964, -2448, -2930, -3410?\nAnswer: -3888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202*c - 103*c + 142*c + 58*c**3 wrt c.\nAnswer: 348*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 16 = -2*j + 2*t, -4*j - 68 = 5*t. Let v = j - -16. Let a(y) = y**2 - 5*y + 3. What is a(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.002, -15, -3 in ascending order.\nAnswer: -15, -3, 0.002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -192 + 4?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225451258.\nAnswer: 2, 10273, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6844702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 33214879?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34308 > 34306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-30) + 256\/(-6). Let a be k\/(-10) - 2\/10. Solve 0*q - a*q + 4*f - 4 = 0, q = -4*f + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3260238 and 696?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 53888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 906911207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 7 = -3*f, 4*f - 3*q = 5 + 5. Let x(t) = 355*t + 10. What is the units digit of x(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 4:02 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12723 + -12719. Calculate the remainder when 1*3\/(-3) + 83 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 7*c**2 + 8*c + 1. Let m be x(-6). Let g(d) = -2*d - 20. Let w be g(m). Let z = -0.07 + -0.13. What is the closest to 0.3 in z, -1, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*v - 154, -5*l - 4*v + 2*v = 300. Let h = l + -3. Is 18 a factor of -2*h\/1 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 29*l + 4. Let m be g(7). Let o be (12\/(-8))\/3*-2. Let a be o*(-1)\/4*-92. What is the greatest common divisor of m and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12220)\/(-20) + -2 + -1. Suppose 20*r - 4*r + n = 0. Put r, 2, 1 in decreasing order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + -1019 + 995 + (1 - -27).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 767 - 64711?\nAnswer: -63944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = w - 3*h - 0*h, 2*h + 20 = 3*w. What is the third derivative of -1 + 1 + 0 + 2*a**w + a**2 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 61409, 61408, 61407?\n\"Answer: -k + 61410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2791*v**2 - 2791*v**2 - 5*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/5 - 1064602*k**2 - 10646012*k\/5 = 0.\nAnswer: -2661503, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let j(n) be the second derivative of n**3\/6 - 13*n**2\/2 - 8*n. Determine i(j(q)).\nAnswer: -q + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 4*o**2 + 0*o**2)*(61 - 61 + 7*o**2).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/101490839?\nAnswer: 6\/101490839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l + 2*w + 30 = 0, -2*l = 3*w - 31. Suppose -6*k + 2*k = -l. Suppose -k*i = v - 2, -19 = -5*v + 3*i - 4*i. 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 derivative of -4132*f**3*k**2*r - 213*f**3*k**2 - 2*k**2*r + 40*k**2 - 5*r wrt r?\nAnswer: -4132*f**3*k**2 - 2*k**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-5 - (4 + -8) - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -247, -235, -209, -163, -91, 13?\n\"Answer: t**3 + t**2 + 2*t - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2. Let l(y) be the first derivative of -y**3\/3 - 38*y**2 + 1940. Give z(l(v)).\nAnswer: 4*v**4 + 608*v**3 + 23104*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 615577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2597133461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 5*j**2 - 3*j + 4. Let f(n) = -3*n + 58. Let i be f(-5). Let b = -87 + i. Let c(x) = -2*x**2 - 27*x + 10. Let g be c(b). Calculate a(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1362*h + 100763. What is n(-74)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41523842 or -41523843?\nAnswer: -41523843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**5\/20 + i**4\/8 - i**2\/2 - 8. Let s(c) be the second derivative of n(c). Factor s(m).\nAnswer: -3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17 < -98\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 254\/9 - 28. Suppose 3*d = 2*d + 10. Let h be (-2)\/5 + 2\/d. Sort h, -5, j.\nAnswer: -5, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0109825 rounded to 4 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 1, f: 3, s: 6, q: 4, o: 1}. What is prob of picking 2 s and 1 o?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*w**5 - 12*w**3 + 4*w**3 + 3*w**3 + (3*w**3 - 2*w**3 + w**3)*(-2*w**2 - 3 + 3).\nAnswer: -17*w**5 - 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 430 - 430.0374. Round v to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400\/11 at least as big as 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 14*w. Let b(q) = -q**2 - 10*q - 20. Let z be b(-5). Suppose u - 5 = 4*r, -3*r - 7 = u - z*u. Calculate d(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -s + 5*h, -5*h - 11 = -5*s - 1. Which is the closest to 0.1? (a) -5 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -587*u + 21164. Calculate s(36).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 559394\/23 at least as big as 24320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p + 1. Let v(z) = 11*z**2 - 25*z + 8. What is 4*i(s) + v(s)?\nAnswer: 11*s**2 + 3*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -777, -1569, -2369, -3177, -3993, -4817, -5649?\nAnswer: -6489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose -5*k + 43 = m, h*m + 8 - 2 = 0. Let n be (48\/(k\/(-3)))\/(-2). Solve n = -5*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -644, -1103, -1566, -2033, -2504?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 + -210. Round d to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118*k**3*l**2 - 81*k**3*l - 2*k**3 - k**2*l + 3*l**2 - 3812 wrt k.\nAnswer: -708*l**2 - 486*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**5*m**2 + 419*j**5 - j*m**2 + 32*j*m - j wrt j?\nAnswer: -40*j**3*m**2 + 8380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2 (c) 4\/7 (d) -0.5 (e) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - -2*sqrt(704))*3.\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 22. Which is the closest to 1? (a) -3 (b) r (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 488\/9 + 4\/9*r**2 - 28*r.\nAnswer: 4*(r - 61)*(r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.8 (b) -0.5 (c) -4981 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b**2 - 3*b + 2. Calculate g(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m*m**(-3\/4))\/m)**(-13\/3)\/(m**(1\/5)*m)**(-1) assuming m is positive.\nAnswer: m**(-253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*m**2 + 332*m**2 - 93*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, k: 2, p: 7, u: 1, m: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 42 = -y, -4*y + q + 4813 = 4618. Suppose -3*b - 24 = b. Calculate the remainder when y is divided by (25\/(-3))\/(2\/b).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2099629\/5 (b) -5.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 + 2 = -3*f, -12 = -3*u + f. Let a(r) = -r**2 + 2*r - 2. Determine a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34200 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -231.8, -2\/9, -45 in increasing order.\nAnswer: -231.8, -45, -2\/9, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 22 + 14 = 0. Let n(g) = g**2 + 4*g + 10. What are the prime factors of n(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*k = -132*k - 2*y - 738, 0 = -5*y - 30. Solve 235*m = k*m - 42 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 6*y + 3. Let h be p(-2). Let a(v) = 12*v + 12. Let b be a(h). Solve b = -3*t + 15 - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2240317248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148790 = 73*k + 717293 + 351151. Which is greater: k or -12597?\nAnswer: -12597","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 101*a - 1212. Determine o(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9 - (0 - 16)) + (-5 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33785430 divided by -6.\nAnswer: -5630905","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 14, 32, 56, 86?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 7 = -m. Let g be 3 + -2 + 4 + m. Solve -g*q - 2*o = q - 30, -2*q - 5 = -3*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12009 is divided by 1000.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17717 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79*77\/(-24332)*(-20)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7297094 or 7297091?\nAnswer: 7297091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1533, 3065, 4597?\nAnswer: 6129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 4*f**2 + 2*f - 3. Let s be v(2). Suppose 2*q - s - 15 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1209)\/9)\/((-6838)\/(-1578))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12313314201 - -141?\nAnswer: 12313314342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3060*l - 2*l**2 - 905*l - 808*l**3 + 6421*l wrt l.\nAnswer: -4848*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30701667, 61403336, 92105005, 122806674?\nAnswer: 153508343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*w + 3*k + 82, 0 = 5*w + 4*k + 208. Suppose 0 = -2*c - 5*f + 144, 3*c - 3*f - 191 = 2*f. Let p = c + w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 127, 296, 541, 868?\n\"Answer: i**3 + 29*i**2 + 5*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14136 divided by -3534?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqnnenpnnnnnnnpaqp. What is prob of picking 1 n, 1 e, and 1 p?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -16, -14, -12, -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4235 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1171*-242\nAnswer: -283382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 13\/7*u**2 - 1\/7*u**3 + 214\/7*u + 368\/7 = 0.\nAnswer: -8, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 2:02 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/5 + c**4\/5 - 3*c**3\/5 - c**2\/5 + 2*c\/5 = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 0*n**6 - 1 + 0*n**7 - 1\/3*n**3 + 1\/14*n**8 + 1\/8*n**4 - 10*n**2 + 0*n**5 + 0*n. Find the second derivative of x(v) wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 55718, -5, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/60 + a**4\/12 - 5*a**3\/6 + 7*a**2. Determine w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/9 - 8*s**3\/9 + 4*s**2 + 8*s.\nAnswer: -4*s*(s - 3)*(s + 2)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9224.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 8 - (-18 - (-71 + -18 + (-17 - -2)))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 1) + (8 - 0). List the prime factors of (-183)\/(-3) - -3 - x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3*15900\/(-477)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1272 and 33284?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 85?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12221\/26 + -6156\/13. What is the biggest value in 0.0155, -1, o?\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 - 161. Let p = -52 - z. Calculate the remainder when p is divided by (-4)\/(-14) + 33\/7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7389698521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(((y\/y**(1\/3))\/y)\/y))\/y)**(-1\/53)*(y**6\/y)\/y*y*y*((y\/(y**(7\/4)\/y))\/y)\/y)**(-14\/11))**44 assuming y is positive.\nAnswer: y**(-37618\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 3)*(31*u**2 - 5*u + 40*u**2 + 7*u**2) to b*u + y*u**2 + v and give y.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as -714\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 545362 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 11*k - 18. Suppose -3*y = -0*y - 300. Calculate the common denominator of y\/(-45) + (10\/k)\/5 and -22\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -2\/7 (b) 2\/3 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:26 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*d + 6*d = 50, 0 = 5*d - 25. What is the thousands digit of ((-1187)\/5)\/(836\/(-55) - b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -2*h + 4180. Let l = -298 + h. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 15*n**7\/112 + 23*n**6\/72 + 19*n**5\/60 + n**4\/6 - 65*n**3\/3 - 43*n**2. Let c(f) be the first derivative of t(f). Factor c(j).\nAnswer: (5*j + 2)**2*(9*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Let q = 90 - -86. Suppose -p*d + q - 32 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -99*x - 9970. Determine j(-100).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94809.27m in nanometers?\nAnswer: 94809270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -45\/2279?\nAnswer: -45\/2279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 7. Let k(v) = -100*v**4 + 90*v**3 - 10*v**2 - 35*v - 55. Let y(m) = -11*m**4 + 10*m**3 - m**2 - 4*m - 6. Let z(x) = a*k(x) - 55*y(x). Factor z(i).\nAnswer: 5*i*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((21 + -11 - 7) + 7 - 8 - -15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 407492 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47584 times 516?\nAnswer: -24553344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a2 + -a0a?\nAnswer: -818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 14. Let x be j(-13). Let m = -56 + 58. Let r be 120*x*m\/(-5). Calculate the highest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*b - 3*n, -14*b = -11*b - 3*n - 12. Let j(u) = u + 17. Let g be j(b). Solve -4*x - g = 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m + 316 + 13*m**2 + 317 + 383 - 1013.\nAnswer: 13*m**2 + 8*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -3 - (380538\/(-4) + (-28)\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, k: 3, g: 1, l: 3, y: 6}. What is prob of picking 2 y, 1 k, and 1 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/7))**(-1\/2)\/((h*h**6*h)\/h*h)**(-35) assuming h is positive.\nAnswer: h**(3921\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.4, 0.02, 1\/3, 341, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 12. Let k be n(-10). Is ((-252)\/k - 1)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2361605*s + 3047506?\nAnswer: 2361605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1351, -2.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -29*s - 373. Let i be n(-13). Solve -5*d - 2 = 4*v, -2*d - i*v = -v - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than -25084793750?\nAnswer: -25084793749.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -42883462 take away 0.9792?\nAnswer: -42883462.9792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.33*-566062\nAnswer: 186800.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:06 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 163*p**3\/3 - 1185*p**2\/2 + 3*p + 6. Find the first derivative of r(h) wrt h.\nAnswer: 326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(240) - sqrt(15))\/sqrt(3) - (sqrt(180) + 2*2*sqrt(180) - sqrt(180))**2.\nAnswer: -2877 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4.4. Let x be ((-1)\/2)\/((-6)\/12). Let b = 2 + -5. What is the smallest value in p, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*r - 11 = 0, 6*r - 2*r = 8. Is (-6 + (-941)\/(-2))*(1 + w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -424508645 divided by -5\nAnswer: 84901729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 53\/5 of a hour?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from aayayayayayvaayyayyy?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 171924649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.26207 and -66533.\nAnswer: -66532.73793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a. Let s be (-1)\/(-2)*(-23 + 27). Let g(y) = 3*y**2 + 0*y**2 - y**s - y**2. What is g(d(v))?\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - 6*n**3 - 7*n**3 + 14*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**4 + s**3 - s**2 - s + 1. Let q(y) = -56*y**4 - 2496*y**3 - 7418*y**2 - 7420*y - 2499. Let v(b) = -76*j(b) - 4*q(b). Find o, given that v(o) = 0.\nAnswer: -1, 2480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 205. Give s(-17).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/7, -4\/5, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 + 3*d**2\/2 - 117. Let f(q) = 4*q. Calculate 3*f(j) - 4*g(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106588, -426319, -959204, -1705243?\nAnswer: -2664436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 251609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 38179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2381*p - 982074 - 263385 = 6124*p - 122799 for p.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -761303?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61\/29 + -283\/348. Let p be 273\/(-15) - (0 + 0). Let d = p + 41\/2. Find the common denominator of h and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.65923ml to litres.\nAnswer: 0.02765923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t**3 - t**2 - t + 2. Let d be i(1). Let f = -11 + d. Suppose 11 = z - 4*h, -2*h - 3*h = 5. Solve -k = 2*w - 7 + f, -2*w - z = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -29269171.\nAnswer: -29269171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152418677 divided by 23.\nAnswer: -6626899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 65\/20 + (-2)\/8. Suppose -25 = -4*x - x. Suppose s - 10 = -x*f, -5*s + 3*s + 8 = -2*f. Solve k*a - 8 = s*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*c + 12 - 2 = 0, -4*c = 5*y - 25. Let t(l) = l + l - 7 - l + l. What are the prime factors of t(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4651.\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 350 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9598*d = -9561*d - 666 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -2\/719 in descending order.\nAnswer: 4, 3, -2\/719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 689051 by 3.\nAnswer: 689051\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3232 + -639. Let u = y + -2593.4243. Let c = u - -0.42. Round c to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + 564\/7. Which is the closest to -1? (a) -3 (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(176)*-2)\/(-2*sqrt(128) - sqrt(128)))\/((sqrt(14) + sqrt(28)\/(sqrt(2)*2))\/((-2*sqrt(77))\/sqrt(11))).\nAnswer: 5*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -29. Let t(l) be the first derivative of -2*l**3 + 1\/4*l**4 - 1 + 6*l**g - 8*l. Factor t(i).\nAnswer: (i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Suppose 3*w - 2*w = 3*m - 2, m + u = w. Suppose -q - a = m + 2, -5*q - a - 8 = 0. Does -1\/12 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*5\/2*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 take away -0.28464?\nAnswer: -40.71536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 41.2. What is the third biggest value in 1, 2, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**(1\/3))*g)\/g**(-3\/2))**(2\/69)*((g**(2\/7)\/g)\/((g*g\/g**(-7))\/g))**(-38) assuming g is positive.\nAnswer: g**(479959\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 36 = 5*i, -10*i - 4*w - 12 = -11*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 430\/30 + (-4)\/(-6) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7872274*0.5.\nAnswer: -3936137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*m**2 - 2670 + m + 6114 - 134*m**2 - 3093.\nAnswer: -2*m**2 + m + 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 441 and 1164681.\nAnswer: 1164681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 9:49 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 131, -4, -8, 2, 0.\nAnswer: -8, -4, 0, 1, 2, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -10.7. Is d > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 131366?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 11:32 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 + 164. Suppose 3*g - 4*g + l = 0. What is the highest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*((-420)\/72)\/(-35)*-6*21\/120?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -5, 4, 3 in ascending order.\nAnswer: -51, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(90)*-2).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6004 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -59. Let n(f) = f**2 - f - 4. Let u be n(-3). Let g be 6\/2*(-2)\/u. What is the nearest to 0.4 in x, -4\/9, g?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12550283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246787 is divided by 82258?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t - 8515249 = 11518751. What is t rounded to the nearest 10000?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.6429 - -1.3571. Which is the closest to 1\/6? (a) -0.3 (b) u (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -15. Calculate the lowest common multiple of 14 and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:28 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 33*b + 8 = 0, -5*b - 28 = o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83006a7 - 3?\nAnswer: -83006aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 divided by 164177?\nAnswer: 463\/164177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 37*y = 38*y + 22574, 3*y - 112926 = -5*w. Calculate the highest common factor of 234 and w.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = -o - 8*m - 10, -4*o - 21 = -m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 31*n**2 + 759*n + 10017. Calculate t(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 32. Suppose -4*k - x + 571 = 0, 6*k + 3*x + 432 = 9*k. What is the greatest common factor of a and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*j**3 + 2*j + 60*j**3 - 222 + 220 as b*j**2 + v + m*j + x*j**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y = 4*s - 210, 4*s - 2*y = 216. What is the highest common factor of 2375 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-15)*(-4)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*l - 310, 2*l + 2*l + 3*w = 600. Suppose l = -4*h + 4103. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 572425028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*x + 4 + 16, -5*l - 20 = x. What is x rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.0000061 + 27. Round h to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 6*p**2 - p - 7. Let l be i(-6). What is the units digit of (l\/(-3))\/((-6)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 19*k**2 - 46*k - 68. What is the remainder when o(22) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*m = 7*m - 144, -146 = -4*u - 5*m. Suppose 882 = 7*z + 861. Solve u = 5*b + 3*q, -2*b + q = z*b - 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -56. Which is greater: o or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1613 + 1613.3. What is the third biggest value in -34, h, 2, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -90*x**2 + 6*x + 3. Calculate l(-1).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 555*o\/4 - 1701.\nAnswer: (o - 567)*(o + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 152, 302, 452, 602?\n\"Answer: 150*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -576 + 295 + 281 - 16*p. Let n(x) = x. Calculate u(n(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2186.3 and 918.\nAnswer: 3104.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 6*h + 9. Let k be q(5). Let c(f) = f**2 - f - 2. Let a be c(-5). Suppose -z = -0*z - a. Calculate the highest common factor of z and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1068435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r. Let m = 14 - 6. Let g(k) = -17*k**2 - 7*k**2 - m*k**2 + 31*k**2. Calculate g(z(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**2 - 6*x**2 + 65*x**2 + 26*x**2 + 28*x**2 - 180*x**2.\nAnswer: -93*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(147) + sqrt(147))**2.\nAnswer: 7203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 242 + -115. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = 5*j + 2*q, -4*j - 151 = -3*q - 612. What is the remainder when j is divided by 2\/(0 + 4)*58?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -5*d + 4*d, 3*w - 4 = -2*d. Suppose d*r - 26 = -h - 0*h, 5*r = 2*h + 23. Let u = 24 - 15. Calculate the remainder when u is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7344 and 163404.\nAnswer: 653616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**3 - 7*u**2 - 5*u - 10. Let h(n) = 2*n**3 + 3*n**2 + 2*n + 5. Suppose 0 = 5*f + 2*g, 3*f = 81*g - 76*g - 31. What is f*i(t) - 5*h(t)?\nAnswer: -2*t**3 - t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*-1*16\/(-4). Solve -g*b = -4*u + 22, -2*b - 5*u + 8 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 97.54823 millennia?\nAnswer: 975.4823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) -56 (c) -467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 + 8*o - 9. Suppose 0*h + 4*s + 6 = 3*h, h = -5*s + 21. Let i be u(h). Solve -2*p + 7 = -i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-4*-1*sqrt(78) + 2*2*sqrt(78))\/(((sqrt(216)*-1)\/sqrt(6))\/sqrt(6)) + 2)*2)**2.\nAnswer: 768*sqrt(13) + 119824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x + 9, 4*r - 4*x = -92. Let b be 8\/r - (-22)\/5. Let n(o) = o**2 + 3*o + 2 + 3 + b*o. Determine n(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 489678118 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*w**2 + 6*w**3 + 104*w**2 - 7*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 11*m - 15 = 5*m, -11 = 4*m + 9 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12100 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5195 divided by 1039?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tts when three letters picked without replacement from tssstsssbbttt?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 15*o + 56. Let v(x) = -3*x**2 - 15*x + 47. Calculate -5*g(u) + 6*v(u).\nAnswer: -3*u**2 - 15*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20538 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b09130 (base 13) to base 7.\nAnswer: -135624640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 8*k - 1. Let m be l(-9). Suppose i - m = 5*i. Is -4 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46818, 187281, 421386, 749133, 1170522?\nAnswer: 1685553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 40*s**3 - 2*s**2 - s + 5. Suppose -5*d = -3*d - 2*m, 5*d - 16 = -3*m. List the prime factors of j(d).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p**3 - 10*p**2. Let t(d) = 10*d**3 - 11*d**2 - d. Let w(h) = 4*t(h) - 5*z(h). Let g(s) = -9*s**3 + 11*s**2 - 7*s. What is 4*g(f) - 7*w(f)?\nAnswer: -f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-5)\/k)\/k**4)**(4\/7))**(9\/8))**4 assuming k is positive.\nAnswer: k**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 1037761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2412 and -103738\/43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 2*x**2 - 21*x - 161. What is u(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/4 + 4*s**3\/3 - 3*s**2 - 6*s - 22. Let j be x(-5). Are -10\/7 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3*k\/(k**(3\/4)\/k))\/(((k\/(k\/k**(-8)))\/k)\/k**(5\/3)))**5 assuming k is positive.\nAnswer: k**(955\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*k = -54, 3*k + 1648 - 1676 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 554*c - 2203. Let d be h(-4). Let o(x) = 3*x**3 + 57*x**2 - 3*x - 56. Give o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*q - 6302 = 4414 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + n + 98 = -97 + 287 - 97, 3*r = -13*n + 15*n + 30 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1099.7789747 + -1099.869. Let z = p + 0.0902. Round z to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11885 + -2017. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*c + 189*c + 1680 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-783064*r**3 + 6*r + 782969*r**3 + 4*r)*(2*r + 3 - 3).\nAnswer: -190*r**4 + 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 12128173.66 and 0.2.\nAnswer: 12128173.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 323.058514 to one decimal place.\nAnswer: 323.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 479187031 and 34.\nAnswer: 479187065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/47872 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 + 14458*u - 695520.\nAnswer: 2*(u - 48)*(u + 21735)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 129*t**2 - 1183*t + 834. Calculate w(-119).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 2*x + 64 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 445123333 - -1?\nAnswer: 445123334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/24 and -39\/22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 3, 64, -99, -5 in decreasing order.\nAnswer: 64, 3, -1, -2, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (0 + (5 - 7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -12. Suppose -c = -2*w + m, -w - 4 = -3*m + 4. What is d in -8*d**2 - 5*d**w - 3*d**4 - 12*d**3 + d**5 - 9*d + 7*d - 3*d**5 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20, -648, 1534, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 34 = 4*h, 0 = h + 2*x + x. Let l be -6*(3\/h)\/(-1). Suppose -b = -t - 3*t - 71, -t - 257 = -l*b. Calculate the remainder when b is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120\/(-168)*1*330\/160?\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/225 and 99\/250.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -56*r. Let x(a) = -a**2 - 2613. Calculate x(z(h)).\nAnswer: -3136*h**2 - 2613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjlxmg. Give prob of picking 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = 5*c, 35*c = 40*c - 4*k - 2. Calculate the greatest common factor of 340 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 123, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/44*4403\/1258*(-4)\/(-7).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -299 + 299.0000444. What is f rounded to six decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33831 divided by 4833?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1 = -3*d - 0, o + d - 5 = 0. Let v = -280 - -308. Suppose v = -10*q + 24*q. Solve 2*f = 2*k - q*f + 10, 0 = o*k + 2*f - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00901417 to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 1 (c) 9 (d) -249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 159*u = 156*u - 4, -8*u - 19 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**29*(z\/z**1)\/z*z\/(z**1\/z)*z assuming z is positive.\nAnswer: z**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 47. Let z(s) be the third derivative of -7*s**4\/12 - s**3\/3 - s**2. List the prime factors of z(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a6 - 5?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.4198 centuries in decades?\nAnswer: 3894.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 1, f: 1, i: 2, q: 1, g: 1}. What is prob of sequence ifg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1334997.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3 + (-1 + 0 + 3)*(4 - 2 + 0))*(0*x + 0*x + 2*x).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -10*o + 7*o + 23, 5*o - 13 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/106 and 38\/371.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1 - 15 - 2*i + i + i**2. Let u be c(6). Solve -4*t - 4*d - u = 0, -4*t - 15 = -0*t + 5*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*x + 67 + 59*x - 82*x)*(1 - 2*x - 1 - x + x - x + 0*x - 3*x + 5*x + (2 + 0 - 4)*(-2*x + 2*x - 2*x) - x + 2*x - 3*x).\nAnswer: -2*x**2 + 67*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 1871839*v - 3 = -1871836*v, 22*h = -5*v - 59 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270391 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttttii.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from qexmmcx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + 4*n - 5*n)*(-n**2 - 4*n + 4*n)*((-3 + 4 + 3)*(0 - 2 + 1) - 3 - 3 + 7) in the form y*n**3 + v*n**2 + s*n + m and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 5*c**4\/3 - 11794*c**3\/3 + 4716*c**2 - 11*c - 166. Factor d(h).\nAnswer: 4*(h - 1179)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*f - 7*f. Suppose -f*u - 5*g + 238 = 0, 2*g = -5*u + 4*u + 117. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -26) + -30 - (-6 - (2 + 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 3856.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.10233 to 2 dps.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, c: 12}. Give prob of sequence cbb.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 19\/14 (c) 162 (d) -3\/8 (e) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*v + 12 = -v, -o + 2*v = -10. Let z(r) = 6 - 3*r**o + 4*r**2 + 3*r - 4. What is the remainder when 4 is divided by z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3075 - 2.4175. Which is the closest to -7\/5? (a) -5 (b) 0.4 (c) l (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, 0.26, 5, -2?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfkxqxfqxxfxkxx. Give prob of picking 1 q, 1 k, 1 f, and 1 x.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(2\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*j = 14, 3*r + 31 = 5*j + 1. Let l(i) = -i - 2. Let d be l(r). Suppose d*o = -9 + 27. Do o and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + i**2 - 9*i + 4. Let v be j(0). Which is the closest to -13\/4? (a) v (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - 5*v**2 + 2*v**2 + (-6 + 1 + 1)*(-26*v + 26*v + 6*v**2).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 14*o + 68. Let n(k) = 2*k**3 - 47*k**2 + 14*k + 202. Let r be n(23). Determine q(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 9) to base 2.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*d = -2, -4*y - 3*d + 2179 = 2175 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -102.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 179.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + (11 - (-1 + 1) - (-2882 - -2885))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 2906556 divided by -138\nAnswer: -21062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r + 3. Let u be s(-1). Solve 5*v - 5*x + u = 8, -4*v + 3*x = -5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -68. Suppose -b*o + 2*u = -466, -11 = 4*u + 1. Let n = o + -83. Calculate the lowest common multiple of n and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1510\/22 + (-111 - (-118825)\/1067).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 15. Let i(n) be the second derivative of 0*n**2 - 1\/126*n**7 + 1\/60*n**5 - n + 0*n**4 + k + 0*n**3 + 0*n**6. Find g such that i(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818388.2 grams to nanograms.\nAnswer: 818388200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 1180 - 637 = 963 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - (1 - (-2 + 1)). Let b(d) be the second derivative of d**5\/20 + 2*d**4\/3 - 5*d**3\/3 + 11*d**2\/2 - 3*d. List the prime factors of b(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 21*l + 92. Let r be g(6). Let d = 115\/4 + -29. Which is the second smallest value? (a) r (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-8) - (-66)\/48)*1758. What is the highest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 + 3 = 0. Suppose 0 = -5*p - 0*p. Suppose 3*l + 13 - 28 = p. Solve -k + 5*k - 26 = -l*q, -2*q - 4 = -u*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4 - (-324)\/80)*4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:00 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162.422 + 3.362. Let u = h - -159. Let i = 4.4 - 1.4. Which is the third smallest value? (a) -3 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -294, -36207 in descending order.\nAnswer: 5, -294, -36207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 833327.4m in micrometers?\nAnswer: 833327400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3699994?\nAnswer: 2, 29, 63793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 - 16220*b\/3 - 50574592\/9.\nAnswer: -2*(b + 1088)*(b + 23242)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.16, 1, -1287, -1, 5, 2 in increasing order.\nAnswer: -1287, -4, -1, -0.16, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 414 - -2340?\nAnswer: 3154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**6 - 25080*r**3 - 75773*r**2 + r?\nAnswer: -360*r**3 - 150480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-906)\/(-9) + -4 + (-4)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7eec8 (base 15) to base 6\nAnswer: -12402455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 107837973 - -5?\nAnswer: 107837978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 3*m = 5*w + 26, w - 3*m + 10 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2188*k - 6*k**2 + 2188*k as j*k**2 + f*k + z and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**4 - 2*c**4 + 2*c**4)*(-3 + 3 - 1) + 1 - 1 - c**4 to the form g*c + t*c**3 + y + b*c**2 + r*c**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) -0.3027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 66.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 1\/6*r**3 + 0*r + 0 + 1\/12*r**4 + 1\/120*r**6 + 92*r**2 - 1\/10*r**5. Give w(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*w + 14798, -148*f - w = -149*f + 2966. What are the prime factors of f?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o. Suppose a = -o*a + 2. Solve z - a*c - 9 = 0, 12 = z + c - 4*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 114, 258, 456, 708, 1014, 1374?\nAnswer: 1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Suppose 0 = -4*o - 0*o + 4. Let i(l) = o + 0*l - 1 + l. Calculate z(i(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 53. Let b = r - -28. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(1\/16)*v))\/v**(5\/6))\/(v**(-5)*v)**(-5\/7) assuming v is positive.\nAnswer: v**(-1597\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 - 314 = -4*l. Let k = l + -46. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.0629 rounded to one decimal place?\nAnswer: 246.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3009 - 1981. Let h = -830 + i. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 + 7\/196. What is the nearest to 2\/7 in -2\/3, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 15. Let m(n) = -2*n + 15. Give -2*m(o) + 3*v(o).\nAnswer: -2*o + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - 14*f**4 + 3*f**4)*(2*f + 0*f + 0*f).\nAnswer: -24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 16) in base 3?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2d9 (base 15) to base 9\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 71143 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**7\/21 - 8*b**6\/75 + b**5\/50 + b**4\/15 - 13*b. Factor m(o).\nAnswer: 2*o**2*(o - 1)**2*(5*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*d - 631 = 0, -7*h - 4*d - 635 = -8*h. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697039 is divided by 232345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2091360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192046649.\nAnswer: 2069, 92821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 626490509 to the power of 1\/3, to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*q**2 - 1477*q**2 - 1 + 1078*q**2.\nAnswer: -893*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) -5 (b) 3\/11 (c) 2\/5 (d) 0.5422 (e) -2\/13 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 58008647?\nAnswer: 348051882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 491352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -295. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102220 - 2?\nAnswer: -102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3, -3\/7, 0, -4\/5, -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/6461064 and -23\/9446.\nAnswer: 6461064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2893 and 12973.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 62 = -4*b, 16 = b - 3*l - 5. Let d be (-3 - -2)*0 + 7. Let v be d\/(-7)*(-2 - 3). Solve 0 = 5*r + v - b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 3, q: 4, w: 1, i: 7, a: 4}. Give prob of picking 1 i and 1 w.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39918 is divided by 19509?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19 and -5924461123.15.\nAnswer: -5924461104.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(2 + sqrt(76)*2) + 0 + 1 + sqrt(76) + (5 + sqrt(76)*1 - sqrt(76)))**2.\nAnswer: 864*sqrt(19) + 37032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/120 + 19*j**5\/60 + 19*j**4\/24 + 3*j**3 + 14*j**2. Let y be a(-18). Is y + 1 + 110 - (-252)\/63 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(190) - sqrt(190)*2))\/sqrt(10) + (1*(sqrt(228) - (sqrt(228)*-1 + sqrt(228))) - sqrt(228))\/sqrt(12))*4.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.229 - 0.239. Suppose -44*v = -15*v. Which is the second biggest value? (a) 0.2 (b) x (c) v (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11810748.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 13*b + 27. Let d be n(-11). Suppose 16 = -s + d*s. Solve -s*c + 6*r - 18 = 3*r, 4*c + r + 10 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 - 42*o**4 + 27*o**3 + 168*o**2 - 156*o = 0?\nAnswer: -2, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -5 (b) -2 (c) 1\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*y + 8, 4*t - 181 + 165 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 8) to base 11.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + 4*j)*((-2*j**3 + 2*j**2 - 2*j**2)*(3*j + 2*j - 3*j) - 2*j**4 - 2*j**4 + 2*j**4 + 0*j**4 + 2*j**4 - 7*j**4).\nAnswer: -22*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 - (34 - 46 - 17).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-5))\/(68\/(-153)*198\/(-1540)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 18. Suppose k = 4*d - 29. Calculate the highest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 208*q**3 - 5*q**2 + q + 6. Let j be m(3). Round j to the nearest one hundred.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/21 (b) 0.5 (c) 5\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -2\/25 (c) 1 (d) -2\/9 (e) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1188 = 3*x + 93, n + 5*x = 389. Calculate the remainder when n is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3 + 6 + p + 3 + 3. What is the units digit of m(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7177 - 7177. Solve j = -4*b + 3*z - 1, 5*b = 39*z - 34*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/2 - 1407555*m + 59117751\/2 = 0. What is m?\nAnswer: -2815131, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*z - 205 + 257 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**12*h\/h**(-29))\/(h**(2\/7))**(-4\/19) assuming h is positive.\nAnswer: h**(5727\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052862 times -2?\nAnswer: -4105724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) 15\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*c + 49*c - 149206. What is the remainder when c is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**4 + l**3 - l**2 + l + 6. Let b(h) = 4*h**4 - 3*h**3 + 6*h**2 - 6*h - 494. Let q(o) = b(o) + 6*r(o). Differentiate q(t) wrt t.\nAnswer: 40*t**3 + 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(252) + 2*sqrt(252))\/sqrt(4) + -5*(1 + sqrt(63))))**2*-6.\nAnswer: -59832 - 12960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4290817, -4290813, -4290813, -4290823, -4290849, -4290897, -4290973?\nAnswer: -4291083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101001 - -100101012?\nAnswer: 102202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -529 - -1202. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, -13, 0.5.\nAnswer: -13, -5, 0.5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466896258.\nAnswer: 2, 3, 8646227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 <= 5.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 82\/3*d**4 - 6080\/7*d**3 + 0 + 65536\/21*d - 2\/7*d**5 + 63488\/7*d**2 = 0. What is d?\nAnswer: -1\/3, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13553 + 544?\nAnswer: -13008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8531.013555 - -8531. What is x rounded to 4 dps?\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a = 35*a. Let d be ((-6)\/(-8))\/(1\/(-4)). Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*-6*(sqrt(68)*1 + -5))**2.\nAnswer: -83700 + 18000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4034986294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0. Let j = -8 + 5. Let d be 8\/5 - (-6)\/(-3). Which is the closest to 0.1? (a) j (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + 2*(-6)\/3. Suppose 22 = 3*r - h*t, -4*r + 3*t - 11 = -33. Let b be -1*21\/14 + 1\/2. Sort b, -3, r, -8 in descending order.\nAnswer: r, b, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 343\/5. Determine m, given that -8\/5 - 14\/5*m - 4\/5*m**2 + f*m**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142711610 rounded to the nearest 100000?\nAnswer: 1142700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 236470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -54392?\nAnswer: -5\/27196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdiipxdidxddxxdipdox. Give prob of picking 2 p and 1 x.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -524 - -545. Let o(w) = 12*w. Let q(v) = v - v + 3*v. Give c*q(h) - 5*o(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2117.\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 10 + 243 = 0. Let i(c) = 2*c**2 + 13*c - 35. What is the remainder when i(t) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -50*h + 338. Let f be i(11). Which is bigger: f or -211?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 49*n**2 + 4*n + 4. Let o be g(-5). List the prime factors of o\/21 - (-12)\/(-21).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10) + (-682)\/(-110). Solve 2*c - m*f = -4*f + 12, -14 = -c + 3*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1 take away 14.51?\nAnswer: -11.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/9 - 46658*z**3\/9 + 1074292*z**2\/9 + 778400*z\/3 = 0. Calculate z.\nAnswer: -23352, -2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -2*3\/42*-213283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 2:16 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 6, 0, 359566 in ascending order.\nAnswer: 0, 6, 32, 359566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108319638 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 25*s**4 - 2*s**4 + 24*s**2 + 24*s**4 + s**3 - s**3 + 2*s**4 + (2*s**3 - 2*s**3 + s**3)*(1 - 1 - s).\nAnswer: -2*s**4 + 24*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5897042*s**2 + s + 1378655020 wrt s?\nAnswer: 11794084*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.006 and 4789.\nAnswer: -9606.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, 1 a, and 1 v when four letters picked without replacement from {r: 2, t: 4, a: 1, h: 4, d: 2, v: 1}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20619606*z**3 - 2692*z**2 + 13*z + 19 wrt z.\nAnswer: 123717636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.498 to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1501 + 7686. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 5 = 18*q. Solve -3*i = 19*y - 14*y - 10, -3*i + q*y + 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:22 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a - 12. Let c be v(8). Let o(y) = y + 52 - c. Let g(k) = 2*k + 3. Let x(t) = 6*t + 10. Let r(h) = -10*g(h) + 3*x(h). Determine r(o(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 t, and 1 a when four letters picked without replacement from {e: 4, u: 4, c: 4, a: 1, t: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(15) + sqrt(15)*1 + sqrt(15)))\/sqrt(5).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 + 3 - 4)*(-l**2 + l**2 + 4*l**3) as v + w*l**3 + c*l + r*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 85 = -5*z, -134 = -5*h - z + 4*z. Let c(r) = -8*r - 9. Let n be c(-7). Suppose 6*w - h = n. Calculate the greatest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014402 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*r + 5*r + 10, 2*h - 5*r + 2 = 0. Let j(m) = -m + 7. Let t be j(7). Let f be (4 + -2 - 3) + 3. Solve f*w = -t*w + h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 0 + 2*c**2 + 6 + 27*c - 19*c. Let g(a) = -a**2 + 13*a - 5. Let k be g(13). Determine n(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -2\/19, -1\/6, 3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 12:17 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 774769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. What is the remainder when 28\/(-42) + 59\/t is divided by (-2)\/(4\/2) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + b - b**2 - 2*b**2 - b**3 - 2. Let c be (-6)\/(12\/(-66) - (-407)\/(-484)*-2). Calculate j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1329 + 942. Let d be 1 + -5 + p\/18. Let m = 26 + d. Which is the biggest value? (a) -2\/7 (b) -5\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/40 and -91\/1245.\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 22*p**2 + 11*p - 277. Let h be x(-23). What is the closest to h in 0.2, -2.9, 0.4, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 16*r**3 + 2*r**2 - r. Let z be k(1). Let o(d) = d**2 + 5*d - 16. Let g be o(-9). Let j be (5\/g)\/(1\/4). Solve 4*v + z = j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549*t = -29*t + 14465 + 1326 - 1751 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2*2)\/(sqrt(441) - (-2*sqrt(441) - sqrt(441))).\nAnswer: -sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/251, 5, 4.\nAnswer: 4\/251, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**5 + 184*p**4 - 400*p**3 - 28128*p**2 - 109440*p = 0?\nAnswer: -6, 0, 20, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73249 - 36892. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 132, 142, 152, 162, 172?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5 - 0. Suppose r*p = 19 + 16. Suppose p*w - 3*w - 32 = 0. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009263619 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a + 5*a + 6*a)*(-6 - 2 + 1) to k + b*a and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*z**2 + 10 + 0 + 44*z**2)*(2*z**2 - 5*z**2 - 4*z**2).\nAnswer: -7*z**4 - 70*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1660, -2881 in decreasing order.\nAnswer: -5, -1660, -2881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*k + 433*k + 4*f = -48, -4*k - f - 63 = 0 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5541 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 x when three letters picked without replacement from zxznnzzzlzzffzzpzzf?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l - t - 8, -3*l - 7 = -4*t. Suppose 2*a = l*a - 45. Let z be (-2)\/(-5) + (-8)\/a. What is the third smallest value in 1, z, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 + -211 + (9 - (3 + -1)) + -66?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k - 49. Let m be h(6). Which is smaller: m or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**2*g**2 - 3*f**2*h**2 - 2*f*g**2 - 8*g**2*h**2 + g**2*h - 30*g**2 wrt h.\nAnswer: -6*f**2*h - 16*g**2*h + g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) + 0 + 768\/56. Solve v + 6 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/71 less than -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswksrr. Give prob of picking 1 s, 1 w, and 1 r.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 2*z - 2. Let i be x(4). Let d(t) = -t**2 + 7*t - 8. Let l be d(i). Let w = 692\/9 - 77. What is the closest to w in l, -3\/8, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27\/4 + -7. Let r = 0.3 - -1.7. Which is the biggest value? (a) r (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243210 (base 8) to base 6.\nAnswer: 1443000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3*a**3 + (-5 + 0 + 6)*(-a**3 + 3 - 3) + 3 - 3 - 2*a**3 + 21*a**3 - 2*a**3 + 5*a**3 in the form r*a**2 + g*a**3 + w + n*a and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -16*l + 11275. What are the prime factors of l?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 76 = 104. Suppose -2*i = 4*w - 2760, -w - p*i = -7*i - 696. List the prime factors of w.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 36*i - 1445 = -5*n, -5*n = -2*i - 1448. What is the greatest common factor of 120 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-4))\/(-7)*-8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + 4 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170317 is divided by 56510?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039238264 to seven dps.\nAnswer: -0.0000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 24*c - 33. Let a = -71 - -56. List the prime factors of p(a).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**5\/7 + 892*y**4\/7 + 8620*y**3\/7 + 21300*y**2\/7 = 0.\nAnswer: -213, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -745.2 - -745. Let y = 0.3 - 0.3. What is the biggest value in y, g, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289749*u - 3*u**3 + 289749*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -777*n - 50. Let v be z(8). Let y = 75281\/12 + v. Let s = 214\/21 + 99\/7. Find the common denominator of s and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 30 = 2*w, 3*p + 10 = p. Let g(l) = -3*l + 78. Let j be g(w). Solve -16\/3*d + 0 - 4\/3*d**4 - 8\/3*d**j + 28\/3*d**2 = 0 for d.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 35 = -2*g + 4*v, -g = 2*v + 7. Let s = -22 + 22.5. Sort -2, -1, s, g in ascending order.\nAnswer: -2, -1, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 635*w - 5692. Calculate f(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -a - 5, a = -2*u + 6*a + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5175 = 5*i + 202*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46019, -46030, -46041, -46052?\nAnswer: -46063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119719697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 5162.\nAnswer: -1032.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 205465002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**3 - 72*k**2 - 416*k - 96. What are the prime factors of h(-40)?\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + 50. Let n = y - 45. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0044497 + -17?\nAnswer: -16.9955503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -2, -823.\nAnswer: -823, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, -17, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**3 + g. Suppose 5*k - 5*f - 4 = -24, -f - 1 = 4*k. Let i be s(k). Let x = 18 + i. Calculate the least common multiple of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 12. Let d = p + 4.9. Put 0, d, -3 in ascending order.\nAnswer: -3, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 3*m**2 + 2*m. Let s be y(-2). Let f(h) = -h + 0*h + s*h. What is the units digit of f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x**4 - 23*x + 5*x**4 + 2*x**4)*(-287 - 229 - 26 - 88) as d*x**2 + u*x**3 + t*x + b + m*x**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 0.264?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(500) + -1 + -1)*6 - (sqrt(500) + -5 + (2*sqrt(500) + sqrt(500))**2 - (sqrt(500) + 3*sqrt(500) + -3)**2).\nAnswer: -190*sqrt(5) + 3514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1584) + 5 - (3 + 2*sqrt(1584)))*-4 - (sqrt(1584) + 2 + 5 - (sqrt(1584) - sqrt(1584)*2*-2)))**2.\nAnswer: -1440*sqrt(11) + 25569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3518661 is divided by 1287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 2417030.\nAnswer: 2417030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3052 and 8562740822.\nAnswer: 8562743874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let z be s(3). Suppose -4*n = 4*h - 8, 0 = -3*h + 2*h - 2*n - z. Suppose 3*g - h = -5*t, -3*g + 0*t = -3*t - 15. Solve 3*v = g + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942022227?\nAnswer: 3, 314007409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 7*o**5\/150 + 19*o**4\/6 - 82*o**3\/45 - 74*o. What is j in k(j) = 0?\nAnswer: -41, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 17\/(17\/6). Let a be (-28)\/x*-1 + (-1)\/2. Solve 4*b - 5 = 5*i - b, 0 = b + a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3203650, 3203651, 3203652?\n\"Answer: k + 3203649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**3 - m**2 + 2*m - 1. Let o be r(1). Let z(j) = 3*j**2 + j**2 - 9*j - 1 - 4. Let l be z(o). What is the greatest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-16)*-4*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33134 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18327.18 weeks to microseconds.\nAnswer: 11084278464000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 2*o**2 + 25*o - 14. Let p be j(-7). Calculate the highest common factor of p and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*l**2 + 199*l**2 + 8283 - 8283 + 631*l**2.\nAnswer: 685*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*t - 3 = h, h + 11 = -4*t. Suppose -h*c + 26 = b, 2*b - 13 = -3*c + 4. Solve -3 = 2*j + b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a factor of 29020227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 140 = 2*u, 4*b = -5*u + 3*b - 359. Let y be (15\/(-50))\/(u\/30). Let r be (-1)\/26*-2*2. What is the nearest to 0 in -6, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 169.9155 seconds?\nAnswer: 169915500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -4. Let m(u) = u + 2. Let w be m(n). Suppose f - 16 = w. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 5*z = 4, 3*z - 15 = -3*i. Let t = -11 + 497\/45. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*q = -162, 3*a + 3*q = -2*a - 304. Let w = a - -66. What are the prime factors of 2236\/14 - (-2)\/w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 10 = 2*o, -5*q - 21 = 6*o + 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/(o\/(o*o*o**(1\/26)*o*o)))))**11\/(o*o\/(o*o**0*o))**(-2\/13))**(10\/3) assuming o is positive.\nAnswer: o**(1925\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -0.1 (c) 0.5 (d) -0.45 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**4 + 4*c**2*k - c*k + 177*k + 1 wrt c.\nAnswer: -8*c**3 + 8*c*k - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 27*h**2 + 85*h + 31. What is q(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2 = -6*m. Let l be (258\/(-9))\/((-2)\/3). Suppose 2*p = 5*n + 3, l = m*p + 2*n + n. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 7*c**2 + 9*c - 8. Let b be r(8). Suppose b = d + 11 - 126. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b1d + -2391?\nAnswer: -50b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c**3 - 9. Let n = -72 - -75. Let t(a) = -2*a**3 - 3 + 2 + 5*a**n - 1. Calculate 2*f(l) - 9*t(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.3. Which is the closest to -1? (a) 2 (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 m when three letters picked without replacement from {w: 1, o: 7, s: 1, f: 1, m: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 132*w**5 - 9842*w**4\/5 + 7046*w**3\/5 + 19236*w**2\/5 + 1576*w\/5 - 112\/5 = 0.\nAnswer: -1, -2\/15, 1\/22, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181176 is divided by 4026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3329, -3335, -3343, -3353, -3365, -3379, -3395?\nAnswer: -3413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, p: 2}. Give prob of sequence pjp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203 + -201. Suppose 13 = 2*z + i*a - 9, 5*z - 5*a = 105. What is the least common multiple of 8 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5008259297 rounded to three decimal places?\nAnswer: 0.501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -392, 4, -2 in ascending order.\nAnswer: -392, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -222399 - -408172. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25363 + -603?\nAnswer: -26066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*f + 14895 = 475*f + 7*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 111189 and -199750.24.\nAnswer: -88561.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1241\/3 - (-67)\/201. Calculate the greatest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - g + 14. Let d be k(0). Let f = d - -64. List the prime factors of f.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/27*223*-3. Suppose 0 = y + 4*y - 15. Suppose -y*a = -4*r + g, r + a = -2*a + 52. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101905 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 248?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -157, -234, -311?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1224041341 + -10?\nAnswer: 1224041331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**5 + 0*y + 0*y + y**5 + 3*y**5 - 2*y**5 + (y - 7*y + 4*y)*(y**4 - 2*y**4 + 0*y**4) + 2*y - 2*y - 2*y - 2*y**5.\nAnswer: -5*y**5 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -40 - 38. Suppose -v - 6 = -b. Suppose 3*u - v*u = 2*q, -2*u = -4*q. Put q, -1, -6 in decreasing order.\nAnswer: q, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p + 9. Let m(o) = -o + 1. Let f be (-4)\/(-18) - (-680)\/180. Give f*m(i) - q(i).\nAnswer: 3*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167848.\nAnswer: 2, 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-429390)\/351*39\/(-2).\nAnswer: 5, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 25*c + 22*c**3 - 25*c as r*c**3 + h + z*c + x*c**2 and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 - 6*b**3 - 5*b**3)*(0*b**2 + 3*b**2 - 4*b**2) - 3209 - 112*b**5 + 3209.\nAnswer: -105*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 341200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/146 and -61\/477?\nAnswer: 69642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.321025 minutes in days?\nAnswer: 0.02244515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170521378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**2 + 2*p - 3. What is the least common multiple of q(2) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d + 360. What are the prime factors of g(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1527347, 6109392, 13746139, 24437588, 38183739, 54984592?\n\"Answer: 1527351*f**2 - 8*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {b: 3, r: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 28*y - 25*y + 1. Which is bigger: y or 772\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4640 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -68*s**3 - s. Let c = -5 - -5. Suppose c = 5*h - 2 + 7. Is t(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6850 - 6565. What is the lowest common multiple of s and 209?\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1740754322 and 9?\nAnswer: 1740754313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((-1)\/8*-10*(-752)\/(-470))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 9*h**2 - 10*h - 13. What is the hundreds digit of w(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4737527+10\nAnswer: 4737537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 392\/211417 or 1?\nAnswer: 392\/211417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34 - -30 - 22) + (0 - -3).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3071 + -1186. What are the prime factors of x?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2062176 divided by -515544\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 + g**2 - 10*g**2 - 2*g**5 + (-2*g**5 + 2*g**5 + g**5)*(2 - 1 - 6).\nAnswer: -7*g**5 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 2*s**4 + 4*s**2)*(13*s + 13*s + 2*s) - 4*s**3 + 3*s**5 + 4*s**3.\nAnswer: 59*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04512 and 0.057984.\nAnswer: -0.00261623808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -6)*(-8)\/(-64). Let w = -33\/14 + 533\/238. Put w, z, -6\/11 in increasing order.\nAnswer: -6\/11, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62332690769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2824 + -1625. List the prime factors of n.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1428844 (base 9) to base 5\nAnswer: -200143104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*o - 6*o + 29*o - 600 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 161 (base 13) to base 11\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16428251?\nAnswer: 7, 53, 44281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -161*k + 105. Let m(t) = -27*t + 18. Let u(h) = 6*c(h) - 35*m(h). Let x(p) = 5*p. Suppose 3*s + 0 = -27. Calculate s*x(q) - 2*u(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100110?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5574, 5569, 5562, 5553, 5542, 5529, 5514?\nAnswer: 5497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**2 - 3*y - 9. Let j = 8 + -1. Let a(v) = 15*v**2 - 5*v - 63. Let u(x) = 10*x**2 - 4*x - 47. Let t(q) = -8*a(q) + 11*u(q). Give j*h(s) - 5*t(s).\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6248\/213*(264\/160)\/11\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + l - 2*l + 3*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 9:11 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/(-16) - 2)*2\/33564*-16. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:05 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 85.6. Is h less than -871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 25 = 5*a, -5*a = x - 2*x - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7780 is divided by 338.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9 + 4*h + 43 - 5*h. Let k = -86 + 86. What is the tens digit of r(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z, 0*t + 4*t + 5*z = 2. Let k(m) be the first derivative of 0*m**2 - 2\/3*m**t - 1 + 0*m. Let p(s) = -3*s. Give k(p(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z**4 - 5*z**3 - 2*z**2 + 204. Let w(a) = -13*a**4 + 4*a**3 + 3*a**2 - 204. Let y(i) = 3*r(i) + 2*w(i). What is the derivative of y(o) wrt o?\nAnswer: 64*o**3 - 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27dc - -46?\nAnswer: -2796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.013 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q + 66. Let u be c(0). Suppose -30 = x - 6*x. Calculate the greatest common divisor of u and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 892738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**3 - 188*a**4 + 14*a - 5*a**3 + 186*a**4 - a**2 to the form w*a**3 + y*a**4 + f*a + t*a**2 + o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 3.31, -1 in decreasing order.\nAnswer: 3.31, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179946.\nAnswer: 2, 23, 113, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316982, 636230, 955478, 1274726, 1593974?\nAnswer: 1913222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 5145?\nAnswer: 5151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1.4, 1.029, -0.8 in decreasing order.\nAnswer: 1.4, 1.029, 2\/9, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 4, 23, 994 in ascending order.\nAnswer: 4, 5, 6, 23, 994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4280471 divided by -1.\nAnswer: 4280471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -718 * -87021.\nAnswer: 62481078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 4, -10 in increasing order.\nAnswer: -10, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (61\/(-183) + 2\/6)\/2. Let m(i) = -i + 5. Let w be m(-7). Factor w*f**5 + 15*f**4 - 7*f**5 + 0*f**3 - 20*f**2 + l*f**3.\nAnswer: 5*f**2*(f - 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 - 26*q\/7 - 396\/7.\nAnswer: 2*(q - 22)*(q + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*q**2 + 40 - 40 + q + (-q + 2*q - 2*q)*(5*q + 0*q - 3*q).\nAnswer: -29*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 2*b**2 - 2*b. Suppose 0 = 3*o - 2*o - 3. Let t = 1 - o. Does 4 divide c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o + 3*f - 3, 0 = 3*o - 5*f + 24. Let j = 37 - 61. What is the common denominator of 51\/20 and (57\/j)\/(-1)*o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 2412 = 3*h. Let g = -263 - h. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -96 - (-4748 + 4639)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + 2. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (0 - 0)) + 468 + -476?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-1)\/(-2)*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vva when three letters picked without replacement from {a: 2, f: 3, v: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (264\/1883)\/((-5)\/14). Let y = 283259\/269 + -1053. Let k = o - y. What is the smallest value in k, -3\/4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/2270 and 25\/1589.\nAnswer: 15890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 4*c**2 + 2*c + 1. Suppose 0 = -4*n - s - 1 + 4, -4*n + 18 = -2*s. Give b(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/18*(-20)\/210?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*45\/55. Let n = 7.93 - 8. Let b = n + 0.07. Put f, b, 5 in increasing order.\nAnswer: f, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -408044838717+2\nAnswer: -408044838715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdss when four letters picked without replacement from {u: 4, f: 8, d: 2, s: 5}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2395585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -355592*h**5 - 35*h**3 - 61*h + 150740 wrt h.\nAnswer: -7111840*h**3 - 210*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-100)\/(-175) + 6*(-99947)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262642 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2 = 5*v, -39*v + 2 = -3*f - 37*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Suppose -z - j + 74 = j, 5*z + f*j - 362 = 0. Let d = -9637 + 9646. What is the highest common divisor of z and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 + -71. Let l be ((-18)\/54)\/(0 - (-1)\/h). Solve y + l = -1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/((-19200)\/(-1128)))\/(1\/10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.3. Let v = 0.01 + 1.09. Let m = v + -0.4. Which is the third biggest value? (a) m (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 22\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 477888*d - 27249363.\nAnswer: 3*(d - 57)*(d + 159353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/15*12 + 140\/(-5)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 61 = -221. What are the prime factors of q?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 - 76*u**2 - 4*u - 91*u**2 - 2 - 145*u**2 + 63*u**2.\nAnswer: -261*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 124574 to the nearest 1000.\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -335270887240 and -0.1.\nAnswer: -335270887240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39257 - -39258. Sort o, 0.06, -98 in descending order.\nAnswer: o, 0.06, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 238*b**3 + 375*b**3 + 147*b**3 + 0*b - 2*b**2 - 2 - 2*b - 28*b**3 in the form m*b**3 + o*b + w*b**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(11466\/(-52)))\/(2\/(-54)*1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -6 - (7 + -7 + 11 + -8)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 11 = -11. Factor 9*m**2 - s*m + 4*m**2 + 5 - 11*m**2.\nAnswer: (m - 5)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3\/5 - 1632*h**2\/5 + 74816*h\/5 - 273408\/5 = 0.\nAnswer: 4, 48, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 135716 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*z + 75, -d - 2*z - z = -32. Calculate the remainder when 61 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6880*j - 14061*j - 82*j**3 + 7181*j.\nAnswer: -82*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*c + 6*c. Which is greater: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 2 + 2 + (-h - 2*h + 4*h)*(0 + 1 - 3) - 4*h - 2*h + 4*h to the form g + i*h and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.54 + -4.54. Which is bigger: -572 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.127 + 0.297. Which is the closest to -2? (a) v (b) -3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3025944, 6051887, 9077830, 12103773, 15129716, 18155659?\nAnswer: 21181602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*i = 60*i - 744. Solve -15 = i*o - 9*o - 2*a, 15 = -2*o + 5*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*k = 10. Solve 3*a - k = -17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.21502mg in grams?\nAnswer: 0.01521502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -101, -335, -787, -1529, -2633, -4171, -6215?\n\"Answer: -12*r**3 - r**2 - r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -170 in 1108, -33\/2, -1\/2, 2\/3?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 41*x**2 + 823*x + 66. Suppose -36 - 72 = -2*j. What is the least common multiple of j and g(-20)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 4 (c) 3 (d) 1.08 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 620?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 60. Let s = h + 8.9826. What is s rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227489899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.26 minus 1666916.3?\nAnswer: -1666842.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 203, 204, 207, 212?\n\"Answer: v**2 - 2*v + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 908 + -905. Let h(r) be the first derivative of 0*r + 0*r**3 - 1\/2*r**4 + k*r**2 - 3. What is the second derivative of h(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*w - 39 = f, -4*f + 194 = w. Let o be (-173)\/(-7) - (-14)\/f. Suppose 5*q + 0*q - o = 0. Solve -m + 6 = -3*d, 6*m - 3*m + q*d = -10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 347.69\nAnswer: 347.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 112 - 200. Solve 0 = 5*k + k - a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3572924 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by -7074\nAnswer: -55\/7074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -459, -688?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55a707a (base 11) in base 5?\nAnswer: -10003200444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, f: 9, v: 1}. Give prob of sequence fy.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1810 - -1815. Let n be 0 + (1 - 2) - -2. Suppose d + 3 + n = 0, p*u - 144 = -4*d. What is the smallest common multiple of u and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-54)\/36 - (-6)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1533.9 - -1534. Let f = -121 + 120.6. Which is the closest to 6? (a) 0 (b) q (c) -0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 89*t + 66 = -84*t, 0 = 5*k - t - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 137116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184\/79 + 762\/395. What is the third smallest value in -58, n, -0.1, -4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100100111100 - -10000111110011?\nAnswer: -1011101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100011 + 101?\nAnswer: -1100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Suppose 0 = q*w - 5*w + 42. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -n - p + 2576, -3*p = -2*n + 5130. Suppose -21*d + n = -15*d. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 5.91. Let d = -3.91 - y. Let u(w) = -4*w**2 - 168*w + 2. Let r be u(-42). Sort r, d, -5 in descending order.\nAnswer: r, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -4, -53, 10003.\nAnswer: -53, -4, -3, 3, 10003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b - 71. Calculate the least common multiple of u(21) and 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245.17 + 253.17. Which is the nearest to v? (a) -1 (b) 2 (c) 0.4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37 minus 12011726225.2?\nAnswer: -12011726226.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.12 (b) -4859 (c) -2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5413 - -54333\/10. Let n = -39\/2 + q. Which is the biggest value? (a) -0.5 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 22. Suppose -4*i + 16 = m*d, -6*d - 5*i - 25 = -10*d. Solve 3*n + 10 = 1, -d*p = -n + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2221280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*w + 300 = 0, 0 = -3*q - 3*w + 13 + 206. Let r be 37\/q*(-8)\/(-3). Factor 14\/3*m**5 + 32\/3*m**2 + 68\/3*m**3 + 52\/3*m**4 - r - 2\/3*m.\nAnswer: 2*(m + 1)**4*(7*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16*5\/(-30)*(-807)\/4. Suppose f = -z + 646. What is the remainder when z is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + -6 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwxw when four letters picked without replacement from wwxewxwwxe?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 51*o - 4. Let k(s) be the first derivative of 2*s + 187. Let y(n) = -f(n) - 2*k(n). Let p(c) = -2*c. Determine y(p(b)).\nAnswer: 102*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -524, -1773, -4210, -8231, -14232, -22609?\nAnswer: -33758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*z**4 - 24*z**3 + 2109?\nAnswer: 176*z**3 - 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -187*j - 4*j**4 + 7*j + 20*j**4 + 179*j + (-4*j + 4 - 4)*(4*j**3 - j**3 - 5*j**3).\nAnswer: 24*j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 2*x**2 + 6*x - 1. Let u(r) = -r**3 - r - 1. Calculate n(l) + u(l).\nAnswer: l**3 + 2*l**2 + 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.122 + 128.878. Which is the nearest to 2\/3? (a) g (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2 + 8. Let d(b) = 35*b**2 + 12*b - 23. Let j(s) = -102*s**2 - 32*s + 69. Let y(m) = 8*d(m) + 3*j(m). Calculate -17*u(f) + 6*y(f).\nAnswer: -3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/13 + 1052*r\/13 + 65376\/13 = 0.\nAnswer: -454, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1470357, -1470316, -1470273, -1470228, -1470181, -1470132, -1470081?\n\"Answer: w**2 + 38*w - 1470396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6395102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 32*s + 35. Calculate q(31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -2)*6 + sqrt(242) + -1 + sqrt(242))**2.\nAnswer: -728*sqrt(2) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 4, -9 in increasing order.\nAnswer: -11, -9, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4975140 - 153934.\nAnswer: -5129074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 191928 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 3*m**2 - 6. Let l(w) = -5*w**3 - 7*w**2 - 12. Give -6*l(f) + 14*n(f).\nAnswer: 2*f**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)\/(6\/12). Suppose v*w = 4*y - 5*y + 6, -3*y = -3*w. Suppose -3*o + 227 = -w*s, -4*o - 9 = -2*s - 309. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 23. Sort g, 10, 3, 5 in descending order.\nAnswer: 10, 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5\/8 - 45*n**4\/2 - 1350*n**3 - 27000*n**2 = 0.\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 12. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -53*h**2 - 798*h - 25. Let o be c(-15). What is the greatest common divisor of o and 2510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27121.5 + 27121.2. Suppose 0 - 3 = -f. What is the closest to 3\/7 in o, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by (-12)\/(-3 - 0) + 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:57 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:10 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7100270.\nAnswer: 2, 5, 710027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - j - 2*j)*(0*j - 2*j + 0*j)*(-117 - 113 + 15)*(-2 - 7*j + 2) in the form o*j + v*j**2 + c*j**3 + q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18889 divided by 2468\nAnswer: 18889\/2468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/10 + 14\/(-35). Suppose p*k = 11 - 3. Solve 0*y - k*y = -3*u + 14, 13 = 2*u - 5*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**7)\/j*((j**(-5)\/j)\/j*j)\/j)**49*((j\/j**(-2))**(2\/3))**(-13\/6) assuming j is positive.\nAnswer: j**(-2071\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 3*t**2 - 6*t - 4. Let j be p(-4). Let f(w) = -2*w**2 + 24*w + 14. Let z be f(12). Solve -z - 2 = j*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (5 - -12)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 2\/3, 5\/3, 3, -25?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - d - 3*d)*(1 + 3 - 3) to v + m*d and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 take away -0.11255206845?\nAnswer: -0.20744793155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 13305 = -747*h + 29871. Suppose -t = -4*t + 3*g + 48, g = 4*t - 55. What is the remainder when h is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -163, -1182, -3917, -9226, -17967, -30998, -49177, -73362?\n\"Answer: -143*t**3 - 18*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5493435551 to the nearest integer?\nAnswer: 74118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32\/993 in -0.1, 3, -5\/6, -0.103?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -6.06. Let r = v + 4.9. Let p = -1.6 - r. Which is the closest to -2\/3? (a) -2 (b) p (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 38.5788km?\nAnswer: 38578800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 2\/15*h**3 + 166 + 4\/5*h - 3\/5*h**2. Factor t(z).\nAnswer: 2*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117.382376 - 19.317013. Let i = -136.7 - w. Round i to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5438 - -957031\/176. Calculate the common denominator of b and -125\/144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuneuniznnnneennzz. Give prob of picking 1 u and 1 e.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 11 + -2 + -5. Let n(o) = -o - 2*o - 4*o**2 - 2*o - 4 - 2*o**3 - 3*o + t*o. Let r(u) = -u**2 - u. What is n(f) - 4*r(f)?\nAnswer: -2*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25ca9 - 29?\nAnswer: -25cd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltv when three letters picked without replacement from {l: 2, y: 5, t: 1, c: 2, v: 2, n: 1}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 15*m**2 + 3*m - 42. Let p be l(15). Put -3, p, 5, -6 in decreasing order.\nAnswer: 5, p, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1148 and 63?\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 3 + 10)*(3*r - 2*r + 2*r) - 1254*r + 2908*r - 1264*r.\nAnswer: 402*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (24\/(-36))\/((-2)\/684)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (-34 - -38 - -22)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001235 (base 9) in base 5?\nAnswer: 114013424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/513 and 16\/4389?\nAnswer: 39501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 351 = -2*l + 6*l, -4*l = 5*n - 585. Let i = n - 59. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**5\/20 + 3*n**4\/4 + 11*n**3\/6 + 5*n**2 + 13*n. What are the prime factors of p(-4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 0 = q. Suppose 0*k = -q*k. Suppose -5*w + 4*w + 4 = k. Solve -w = 3*j - j, 4*r - 8 = 2*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2098162 or 2097963?\nAnswer: 2097963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063460 (base 7) in base 10?\nAnswer: 133322","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 11:35 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15\/6*4\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 927*p**2. Let y(v) = 15*v + 90. Determine y(m(a)).\nAnswer: 13905*a**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 26*r - 24. Suppose -100 = -5*w + 2*u, -2*w + 6*u - 4*u + 46 = 0. Is f(w) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10960204*q + 10920 = 10960009*q for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8309638*v**2 + 6158126*v wrt v.\nAnswer: -16619276","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 110011011001011110 (base 2) to base 11\nAnswer: 134198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 54 = -11. Suppose -5*y + 10 = 5*m - 15, y - 5*m + i = 0. Suppose 0 = 8*h - y*h - 180. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, h: 10}. What is prob of sequence qqh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 34 = -54*j + 170 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 7. Let m be q(-5). Let n be (-1)\/(-1) - (m - 72). Calculate the highest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r)**(-2\/11)\/(r\/r**(1\/19)*r**8\/r) assuming r is positive.\nAnswer: r**(-4793\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -7 + (-149 - -53) + 23.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 3*w**2 + 2*w - 3. Let d be o(-4). Suppose -3*r - 156 = -d*z + r, 2*z = 4*r + 72. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) 201\/7 (c) -5 (d) 1\/4 (e) 6\/845\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-36)\/126*-2*(-35)\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 - 2250*h\/11 - 298800\/11.\nAnswer: 2*(h - 1245)*(h + 120)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, z: 3, e: 6, n: 1, o: 3}. Give prob of sequence ene.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 6. Let y be l(-6). Let c(i) be the second derivative of y*i**2 + 2*i + 0*i**3 + 1\/12*i**4 + 0. Let r(u) = 12*u**2. Calculate c(r(x)).\nAnswer: 144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 936 and 23075676?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 + -0.4. Let m = 8 - 8.1. Which is the biggest value? (a) f (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31070 is divided by 92.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let r(f) = 77*f**2 + 0*f + f - 2*f - 1 - 57*f**2. Let g be r(q). Solve -n - 15 = 3*b - 0, 0 = -4*b - 5*n - g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**7\/504 + b**4\/24 - 7*b**3\/6 + 11*b**2. Let o(w) be the second derivative of i(w). Let g(k) = 3*k**2. Calculate o(g(s)).\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3379 + 3388. Calculate the greatest common factor of t and 1521.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1 = 7. Let c(h) = h**2 + 4*h + 3. Let z be c(-5). Let t = j - z. Solve t - 20 = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-19)\/(39235\/210)) - 9*2?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x + 67*x = -204 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 6*u**2 - 3*u + 1. Let w(k) = -9*k**3 + 25*k**2 + 12*k - 5. Let y(p) = 26*m(p) + 6*w(p). Determine y(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393815.805 rounded to the nearest 100?\nAnswer: -393800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 4*v**2 + 27 - 21 + (2*v + 3*v - 6*v)*(3*v - 3*v - 2*v) - 2*v - v**2 + 2*v as u*v + p*v**2 + m and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 6*g**2 - 61)*(g + 2 - 2)*(6 + 4 - 6) to h*g + p*g**3 + w + b*g**2 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jggbjaajb. What is prob of picking 1 a and 1 g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-105) + 31\/105?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/60 + p**4\/6 + p**3\/3 + 3*p**2. Is w(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -68*a - 999. Calculate m(-25).\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 14*j**2 - 3*j - 5. Let v be m(4). Let y be (3\/3 + 3)*7. Suppose d + v = 4*h - y, 292 = 5*h - 3*d. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -0.1 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4.3, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(68\/35 + -2). Let v = -137 - -961\/7. Solve 0 + v*m - z*m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -19*p - 14. Let i be v(-4). Let b(x) = -i*x + 0 - 9 + 60*x. Let y be b(-2). Which is smaller: -0.5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 3, -4, -1.2 in ascending order.\nAnswer: -4, -1.2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*v + 2834 = 0, -2*v = -2*s - 4*v + 5652. List the prime factors of s.\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296739 is divided by 49.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 - -4 - (1 + -6) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14d (base 15) in base 8?\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -3*q**7\/280 + q**5\/15 + q**3 - 9*q. Let c(g) be the second derivative of y(g). Find the second derivative of c(t) wrt t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 3*u**2 - u - 7. Let i be n(4). Suppose 3*w - i*o - 196 = 0, 131 = -0*w + 2*w - 3*o. 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 th term of -12, -26, -38, -48, -56, -62?\n\"Answer: b**2 - 17*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, l: 4, i: 2, y: 1, z: 1}. Give prob of picking 1 j, 1 y, and 1 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*i - 599990, 5*p - 3*i + 1399793 = 399787. Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29\/2 - -15. Let c be (0 - (-3)\/6)\/(-1). Suppose 3*u = u - 4*n + 2, -6 = u - 5*n. Sort u, w, c.\nAnswer: u, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000735 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 1:19 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/2)\/((-3)\/(-15)). Suppose -3 = z + 4*r, -3*z - m*r - 11 = -2. Which is the closest to 1\/4? (a) 0 (b) z (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exxxleppmpxppllpxll. Give prob of sequence epml.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11 = -4*f + 9, a + 4*f - 20 = 0. Solve 6 = 3*x - a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209.404 + 211. Let p = -1.37 + j. Let m = 0.3 - p. What is m rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum -489966 and 0.01124.\nAnswer: -489965.98876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 + -107. Suppose 52 = 4*f - d. What is the remainder when f is divided by 23 + ((-180)\/(-72))\/((-1)\/2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2600, -35, -12, 0.\nAnswer: -35, -12, -5, 0, 2600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(98)*4 + 4)**2*3 - (-1 + ((sqrt(98) - (sqrt(98) - (sqrt(98) + 4))) + 3)**2)).\nAnswer: -23030 - 2870*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g**3 - 1868355*g**2 + 169850*g = 0 for g.\nAnswer: 0, 1\/11, 33970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 5 in increasing order.\nAnswer: -16, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 13*o. Let p(j) = -j**2 + 7*j. Let v(y) = 6*d(y) + 11*p(y). Let n be v(0). Is 4 + 115 + n\/(-1) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11578)\/35)\/(4\/(-30)) - -4.\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1056\/80)\/(6\/15). Solve 0 = -8*y - 7 - u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.78712 centimeters to meters.\nAnswer: 0.8678712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12958 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/9*3\/12*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 386665, 773275, 1159895, 1546531, 1933189?\n\"Answer: b**3 - b**2 + 386606*b + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 + n**2)*(-86*n**2 - 72*n**2 - 109*n**2).\nAnswer: -534*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 - 5492.\nAnswer: -5492.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**3 - 9*a**2 - 9*a - 9. Suppose h - 3*c = -9, 0*h = h - 5*c + 3. Let p(r) = -r**3 - r**2 - r - 1. Give h*p(l) + 2*g(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28149\/34658 - 6\/1333. Find the common denominator of y and (-184)\/12*3\/(-20).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15257 (base 8) to base 7\nAnswer: -25626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/4995144 and 82\/969.\nAnswer: 94907736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*d + 5379 = -97*d - 2*y, -16082 = -3*d - 5*y. Calculate the greatest common factor of 65 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/(-10))\/(1\/(-10)). Suppose -15*y + 16*y - 3*v - 33 = 0, 38 = y + 2*v. Let d = y - l. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -1637*p**3 + 1438*p**2 - 2410. What is the second derivative of i(q) wrt q?\nAnswer: -9822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1395 times 1?\nAnswer: -1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (3 + -2 - 9). Let b(q) = q**2 + 11*q + 16. What are the prime factors of b(x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 64 = 39 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -36, -122, -284, -546, -932?\n\"Answer: -4*n**3 - 2*n**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9)\/((-3)\/(36\/(-16)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3050059428 by -6.\nAnswer: -508343238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151, 142, 121, 82, 19, -74, -203?\n\"Answer: -h**3 - 2*h + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.08663 - -0.08663. Put -2, 0, z, 3 in descending order.\nAnswer: 3, 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.68 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -n + 14, 0*n = -5*n - 20. Let q(k) be the third derivative of k**2 + 0 + 1\/540*k**t - 1\/54*k**4 + 0*k**3 + 0*k + 1\/270*k**5. Solve q(r) = 0 for r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, s: 2, u: 2}. Give prob of sequence um.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 20 = 8*d. Solve 0 = b + d*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4\/7 + 39321*f**3\/7 - 57637329*f**2\/7 + 22510058535*f\/7 - 22452460524\/7 = 0.\nAnswer: 1, 807, 11492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -298\/5 + 60. Is k at least 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8775 + 12*z + 17*z**2 + 7*z**2 - 21*z**2.\nAnswer: 3*z**2 + 12*z + 8775","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 218*c**4*y**3 - c**4*y**2 - 2*c**3*y - 2*c**2*y**3 - 35*c*y**3 wrt c.\nAnswer: 5232*c*y**3 - 24*c*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839888.\nAnswer: 2, 7, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3393, -3392, -3391, -3390, -3389?\n\"Answer: j - 3394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10218 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11552877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - z = -30*g + 4*z + 185, -2001*z + 15 = -3*g - 1996*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*x = -4 + 20, -x = -3*b + 12. Is (b + 16254\/(-6))*(0 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 13*w**2 - 8*w + 35. Is z(11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 133 = 3*g, g - 3*g + 2*y = -78. What is the remainder when g is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2478256*o**4 + 6*o**3 + 1554*o**2 - 175*o - 1 wrt o.\nAnswer: -59478144*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8689 = -12*d + 3229. Let v = d + 445. Let u(k) = -k**3 - 4*k**2 + 6*k - 4. Let m be u(-5). Is m bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*w = 15, w + w + 1 = -i. Let b be (-2)\/i + 32\/(-6). What is the tens digit of (4\/b)\/((-8)\/588)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 6*o - 19*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 4*k**3 + 3*k**3)*((2*k - k - 2*k)*(6 - 2 - 1) + (k - 5*k - k)*(15 - 61 + 26)).\nAnswer: 388*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 14534?\nAnswer: 43602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 48 = -6*j. Differentiate 8*x**j - 560 + 2*x - 2*x + 540 wrt x.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/35733 and -35\/3.\nAnswer: 35733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*d + 5*d - 10*d)*(3*d - 3*d + d)*(20 + 6 + 11 + 9) in the form r + j*d + i*d**2 and give i.\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 + -825\/4. Which is greater: -13 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2096 + -14636\/7. Which is greater: i or 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-15)\/18*-3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8560 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7610072996?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2275203 divided by -4?\nAnswer: 2275203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-9744)*-7*17\/((-459)\/72)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, a: 1, b: 1, p: 8, w: 4}. Give prob of picking 2 t and 1 b.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*sqrt(208) + (sqrt(117)*2)\/sqrt(9) + -4.\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11*x**2 - 3*x + 2. Let d(g) = g**3 + 4*g**2 - 4*g - 5. Let m be d(-4). Let i be f(m). Round i to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.93427792397 - -0.7.\nAnswer: -9.23427792397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/2*(-24)\/15. Let y be 1\/1 - (-6 - -4). Let r = y - -1. Solve -2*s = -8, s = -r*v - s + l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 + 3*t**2 - t**2)*(-t + 4*t + t) + (-t + t + t)*(6*t**2 - 2*t**2 - 3*t**2) - t**3 + 0*t**3 - t**3 to v*t**2 + g + o*t**3 + y*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -561, -9, -3, -5, -1 in descending order.\nAnswer: -1, -3, -5, -9, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21516189?\nAnswer: 3, 19, 377477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - 6*s + 3*s)*(28 - 7 - 5) + 0*s + 0*s + 2*s.\nAnswer: 66*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/(-3))\/(1\/30)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:44 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1010210?\nAnswer: -1010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, g: 2, m: 1, t: 2, h: 1}. Give prob of sequence mh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837508861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65.2 + 65. Which is the closest to 0.1? (a) -3 (b) t (c) -29 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*p + p + 12, -4*s - 4 = p. Sort -2\/61, 5, p, -2\/9 in decreasing order.\nAnswer: 5, -2\/61, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -2 - 4 - -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 35*l = 51. Solve 4\/11*t**2 - 2\/11*t - 2\/11*t**5 + 4\/11*t**l - 2\/11*t**4 - 2\/11 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*w*w**(2\/5)*w)\/(w**1)**(1\/32) assuming w is positive.\nAnswer: w**(1339\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8346, 8898, 9764, 10950, 12462?\n\"Answer: l**3 + 151*l**2 + 92*l + 8102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 303213541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 + (2 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1b4 (base 16) to base 15\nAnswer: -1e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -14, -39 in decreasing order.\nAnswer: 3, -14, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 84. Suppose -5*b + 2*j + 3*j = -l, 2*j = 4. Suppose -b = -9*q - 5. Solve -s + q = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 5 = 5*t - 5*p, -4*p = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 3.64 (c) -2\/39 (d) -2 (e) 0.4 (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from nnnnnnnnnnhnnnnhnn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7 = -3*w, -4*q + w + w = -10. Sort 1, 0, -4, q.\nAnswer: -4, 0, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -14. Which is the closest to g? (a) 1\/7 (b) -0.1 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2 - 4 - 4 + 4 + 2*x**3. Let o(s) = 3*s + 5. Let j(h) = -h - 1. Let c(f) = -5*j(f) - o(f). Give l(c(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44403*d**4 - 110183*d wrt d?\nAnswer: 532836*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22002012 (base 3) to base 9\nAnswer: 8065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -210000 (base 3) in base 15?\nAnswer: -27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -14128233413230.\nAnswer: -14128233413237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-4)*n*n*n**6*n**7*n**(1\/6)*(n**(-2\/5))**38\/(n**0)**(-3\/22) assuming n is positive.\nAnswer: n**(-121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-39))\/((4\/17)\/4)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-30))\/(-2*2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/9, -0.2, -52\/21, -1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*(-11)\/(-33))\/(9\/108) - 2. Let q(l) = -3*l**3 - l**2. Let f be q(-2). Solve -d*w + 2*w = -f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(10) + sqrt(250)))\/(sqrt(72)\/(sqrt(24)\/sqrt(2))).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1556*y**2 - 7715*y + 294. Determine n(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 16*w + 3*n + 6719 = 0, -4*n - 3357 = -w. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j*j)**45*j**2\/j*j*j*j*j**(1\/3)*j*j assuming j is positive.\nAnswer: j**(154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1447992 divided by -34\nAnswer: 42588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12851 - 3717 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -9 + 21 - 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiinnninniiniini. What is prob of sequence innn?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 2 + 2572*m**3.\nAnswer: 2572*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f - 123. Let d = -4900 - -4882. What is t(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6348, -50175, -169122, -400749, -782616?\nAnswer: -1352283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -963, -966, -971, -978, -987, -998?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 - 71. Calculate the highest common factor of v and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 1 + -56 + 58 + -355 + 360\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*a**2 + 11*a**2 + 37*a**2 - 237 + 237.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 0 - (-6 + 2). What is the units digit of (r - 1) + (-3 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k - 6*k = -4*k + 2*a + 126, -a = -4*k - k - 0*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98103 and 1431?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y. Let m(i) = 3*i. Let o(t) = -2*k(t) - 3*m(t). Let g(j) = 32*j. Calculate g(o(x)).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + q - 26 = 0, 5*q - 8 = -2*n + 18. Suppose -3*y + 25 = -n. Suppose -y = -2*d + d. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5512427 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 645458 and 99?\nAnswer: 5809122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100 (base 3) in base 7?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-33))\/((-15)\/(7755\/47))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*g - 2214 = 48*g. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i. Suppose 13 = -2*v - f - 31, i = f. Let w = -11 - v. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2694 - -1290. Let w = -2471 + v. What are the prime factors of w?\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108763047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -11a403?\nAnswer: -11a3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(-2\/3))\/a*a*a)**9\/(a**(-2)*a*a)**(-4\/27))\/(((a**(-8)\/a)\/a*a**0)\/(a**(-3\/5)\/a**2)) assuming a is positive.\nAnswer: a**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2366)\/676*(-16)\/70.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -3 (c) -0.2 (d) 1.7 (e) -9 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5, -h - 4*j + 124 = -192. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762577 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/11 - 31*v**4\/11 - 1698*v**3\/11 - 324*v**2 + 59832*v\/11 + 168480\/11 = 0. What is v?\nAnswer: -26, -6, -3, 6, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s + 13 + 0 + 21.\nAnswer: 60*s + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5635680 is divided by 2198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 - 24*g**2 + 27*g - 14. Let q(o) = 9*o**3 - 47*o**2 + 54*o - 27. Let w(r) = -11*a(r) + 6*q(r). List the prime factors of w(-20).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -63*x + 121. Solve -17*j + 16*j + x = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 + 0)*(-4 + 2 + 0) - 1 + 0 + 2 - 1 - 2 + 2 + 0 - 5 + 4 + 4 - 4 - 2)*(-r**2 - 6*r**2 + 4*r**2).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c**3*h - 7*c**2*h*y**2 - c**2*h - 3*c - 2*h*y**2 + 87 wrt c.\nAnswer: -42*c*h - 14*h*y**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1498, 1517, 1548, 1591, 1646, 1713, 1792?\nAnswer: 1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1449173403\/1660 + -872996. Calculate the common denominator of 83\/36 and a.\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**4\/4 - 4*i**3\/3 - 2*i**2 + 2*i + 2. Let u be f(-2). Solve 2\/3*p**u + 4*p + 6 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-11 - (7 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3842 divided by 226.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8258090098 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 19*h**7\/210 - h**4\/8 + 473*h**3\/6 + 427*h**2. What is the derivative of r(m) wrt m?\nAnswer: 76*m**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8 + 7*f**2 + 9*f**2 - 8 - 20*f**3 wrt f?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h**2 + 0*h**2 - 4*h**2 + 2*h + 2 - h + h**3. Let f(z) = z**3 + 5*z**2 + 5*z + 6. Let p be f(-4). Determine k(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a8 + 6835?\nAnswer: 72dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -354245, -1416970, -3188181, -5667878, -8856061, -12752730, -17357885?\n\"Answer: -354243*j**2 + 4*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12607084?\nAnswer: 2, 7, 37, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130206 or -130207?\nAnswer: -130207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u + 2. Suppose -u*h - 2 = -4*h. Solve 0 = -b - 1 - h, -4 = -q + b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 3}. Give prob of picking 2 z and 2 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63649304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 84. Let h = i - -60. What is the third smallest value in -0.2, 0.1, 2, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 57*x + 13 = 53*x, 2*j - x = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4913 by -740.\nAnswer: -4913\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a + a - 5*a)*(-22 - 15 - 4).\nAnswer: -41*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21436 + 26016. Is 28 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 2*a - 3*a + 11*a**2.\nAnswer: 17*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -43378.76 rounded to the nearest one hundred?\nAnswer: -43400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4532 + 3395.8. Round g to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 10) to base 8\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvpr when four letters picked without replacement from hvhtvhpphhvr.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -78, -106, -128, -138, -130?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397370 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r**2 - 336*r + 15. Determine w(-56).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - -1010001101?\nAnswer: 1010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43.07 + 0.93. Let x = l + 49. Let g = 92.99812 - x. Round g to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 190?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -519 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 573*f**4 - f - 457 wrt f.\nAnswer: 6876*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19118818958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/(r\/r**(-11)))\/(((r\/(r\/(r**17*r)))\/r)\/(r*r\/(r**(4\/13)\/r)*r)))**(-4\/11) assuming r is positive.\nAnswer: r**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -230?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24934)\/4521)\/(147\/(-63))?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 25 = 5*a, -2*i - 3 = -1. Let s(p) = -7*p - 1. Let v(q) = -20*q - 3. Determine a*v(r) - 11*s(r).\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 328\/9 (b) -0.86 (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - t**2 - 4456*t**3 + 4433*t**3 + 1 + t to the form v*t**3 + p*t + n + g*t**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7482 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*i = -26 - 12, 0 = -i. Let c = 40 + t. Let r(y) = -y**3 + 22*y**2 - 17*y + 36. Does 15 divide r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3020.277804 to the nearest ten.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 120415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.402916 and 1?\nAnswer: 1.402916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 2*l**3 + l**3)*(2 - 4 + 4) - 39 + l**3 + 39.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2 + b - b + 8*b**2 + 4*b**4 wrt b?\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = -18. Let z be 3\/d - 80\/(-30). What is the third smallest value in -1, 2, z, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 8 + 7 + 3 - 18. Let c = -11 - -7. Let j = c + 6. Give o(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/6619257 and -31\/3677365.\nAnswer: 33096285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1130 (base 7) to base 10\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 239 and 240 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**3 + b**3 + b**2 - 52*b + 0*b**3 + 0*b**3 - b**3 wrt b?\nAnswer: 48*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8247.\nAnswer: 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6948688 greater than or equal to -9\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7629881.18599686 - -7629881. Let u = h + 0.186. What is u rounded to seven dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37625035\/17712 - -228377\/108. Let u = j + 568\/41. What is the common denominator of u and (-52)\/6*3\/(-20)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -641, -747, 201, 2731, 7371, 14649?\n\"Answer: 88*p**3 - p**2 - 719*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n\/n**5*n)*n)*n*(n\/(n\/n**(1\/5)))\/n)**(1\/15) assuming n is positive.\nAnswer: n**(-14\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142341*m = 142335*m + 150 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + (2 + -4 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1) + (-50)\/(-54). Are 1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (7 - -1) + (-16)\/(-8 + 12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1920.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 33*n**2 + 62*n + 1. Let s(t) = -t**3 + 33*t**2 - 62*t - 2. Let j(r) = -7*s(r) - 6*y(r). Let u be j(31). Solve -3*a - 25 = -u*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14368 - 0.316754.\nAnswer: -14368.316754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3 + 19*p**2 - 119*p + 245 = 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r + 18. Give h(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001081801 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-3\/7)\/p))\/(p*p\/p**(-7)*p))**(-2\/45)\/(((p\/p**(-9))\/p)\/p**(-5))**40 assuming p is positive.\nAnswer: p**(-176294\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73031039 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: b\"What is the xth term of -765, -764, -763, -762, -761?\n\"Answer: x - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -3*o + 3*i, -o + 0*o - 2*i - 13 = 0. Let c = o + 146. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*d + 20 - 62 = 0, -5*d + 75 = 5*m. List the prime factors of 512\/m*9 + -3.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 404?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -12, -1, 13 in ascending order.\nAnswer: -12, -1, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/3)\/((-56)\/(-126)). Suppose -2 = l*i + 4*t, -2*t - 12 = -3*i + t. Suppose 390 = -i*g + g. Round g to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/54 + 17*m**3\/9 - 98*m**2\/9 - 5*m - 24. Factor w(y).\nAnswer: -2*(y - 49)*(y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-18)\/3960)*78\/(-65)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.19 and -0.2.\nAnswer: -0.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Suppose 0*i = -4*i - 4*c - z, -i = 3*c - 7. Calculate the remainder when (-12)\/i - 4\/10 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35 + 17 - 18)*(-36*j - 27*j + 47*j) to the form u + b*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 122112110?\nAnswer: -122112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613108 take away 0.127669?\nAnswer: 1613107.872331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 14*o - 45 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3303 greater than or equal to -3310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {q: 2, j: 1, h: 2, o: 1, z: 4, f: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7602 + -7605. Let d(h) = 2*h - 8. Calculate d(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -20. Let d be 38\/6 - (-3)\/a. Suppose 5*t - 5*h - 70480 = 0, -d*t - 3*h + 70512 = -t. Round t to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53.3 and -0.03?\nAnswer: 53.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 7*b + 2 = 0. Suppose -170 = -4*i + 5*c, c - b*c = -i + 43. Let f be (-2 - -1) + 2 + 14. What is the greatest common divisor of f and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2535350 (base 7) to base 5\nAnswer: -41002213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 10. Let t(b) = -b**2 - 5*b - 6. Let i be t(-4). Let k(w) be the second derivative of -3*w**2\/2 - w. What is i*q(r) - 7*k(r)?\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**6 + 2*n**5 - 760*n**4 + 1831*n**2.\nAnswer: -120*n**3 + 120*n**2 - 18240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 2796*l. Let k(w) = -42*w**2. Determine r(k(q)).\nAnswer: -3528*q**4 - 117432*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 358? (a) 4 (b) 0.1 (c) -4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 398886669 and 2655.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689418 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3504 is divided by 253.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5553*b**3*j + 5*b**2*m - 18*b**2 + 5*b*j*m + 4642*b*j + 165*b*m + m wrt b.\nAnswer: -33318*b*j + 10*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30645.47889333 minus -0.87?\nAnswer: -30644.60889333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q + 4 + 3*q**5 - 3 - 3*q**2 - 11*q**5 + 2*q wrt q?\nAnswer: -160*q**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 6314?\nAnswer: -6311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3))**(-21)*(n*n*n**(1\/4))\/(n**(-2\/7)\/n))\/(((n\/(n*n**3)*n)\/(n*n\/(n\/n**6*n)*n))\/(n**0*n)**(-2\/25)) assuming n is positive.\nAnswer: n**(13619\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7763413774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 262 + 582 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8803 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k + 2. Let w(j) = 4 + 4 - 8 - 2*j + 1. Let y(n) = -3*n**3 + 2*n**2 + 2*n + 1. Let d be y(-1). Give d*w(o) - 3*x(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (3 - 7) + 0 - (73 - 66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let d(a) = 1230*a + 1246*a - 13 - 2515*a. What is d(i(t))?\nAnswer: 39*t**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.146368 - 697.056368. Round i to the nearest 10.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:46 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 11:25 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10668419?\nAnswer: 2129, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(3 - (-20)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p + 113. What is t(18)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5018 * -0.21129\nAnswer: -0.106025322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6260 = -54*q + 44*q. What are the prime factors of q?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a0c (base 15) to base 8.\nAnswer: -210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -g + 2*w - 0, -5*g + 5*w = -15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 31 = -3*b, -30*b + 25*b = -2*q + 70 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c = -51*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -175 + 271. Calculate the lowest common multiple of o and 16.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-39))\/((-44)\/(-3522)). Let i = z + 51\/13. Let x(m) = -2*m**2 + 6*m - 3. Let y be x(2). Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -717 - 405. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-245))\/(-3 + 28\/10). Suppose 8*o - 15*o = 14. Which is the smallest value? (a) -0.1 (b) 0.5 (c) o (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10195*p**2 + 19*p + 5. Let k(m) = -1700*m**2 + 3*m + 1. Calculate -19*k(j) + 3*l(j).\nAnswer: 1715*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*m**2 - 65181785*a**3*m**2 - 3*a**2*m + 1448461*m**2 wrt a?\nAnswer: -24*a*m**2 - 391090710*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 261298+-0.2666179067\nAnswer: 261297.7333820933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g**2 + 56*g - 14*g - 30*g - 27*g - 24*g to the form v*g**2 + a + n*g and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c)*(4*c + 0*c - c) + c**2 + 0*c**2 + 3*c**2 - 2*c**2 - c**2 + c**2 + (c + 0*c + c)*(4*c + 2*c - 4*c) + c**2 - c**2 + 3*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2098*d**2 + 932*d**2 - 1875*d**2 to b*d + x + z*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1448*g - 115840. Determine z(-80).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129764 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000316 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4*k, -29*k - 22 = -3*g - 31*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/11)\/(r*r*r\/r**3))\/(r**(-2\/19)\/(r*r*r\/r**(2\/9)))*(r*r*(r\/(r**(-1\/3)*r))\/r*r*r*r*(r\/r**8)\/r)\/((r\/(r**2*r))\/r**(-1\/5)) assuming r is positive.\nAnswer: r**(4429\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7456 and 62752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666763*a + 493612*a + 147441*a + 395026*a - 277406*a.\nAnswer: 1425436*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8020?\nAnswer: 2, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653\/4 at least 412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j + 448. List the prime factors of j\/(-10) + (-5)\/25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, w: 1}. Give prob of sequence lw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*p - 1 = -0, 4*b - 3*p - 5 = 0. What is the first derivative of b + 0 - 65*s**4 + 64*s**4 wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/70 + 4588\/14. Suppose a = -3*m + 11*m. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 - 103. What is the greatest common factor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2 = 3*s - 3, -u + 13 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -14. Let t = q + -7. Let s(z) = 6*z**2 - z + 1. Is s(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5231, 23647, 55247, 100037, 158023, 229211, 313607, 411217?\nAnswer: 522047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*x - 5. Suppose 3*b = -12, 12 = 2*z - 3*b - 6. Let w be z\/9 + 4\/(-6). Is w greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 4)*(2 + 11*k + 9 + 82*k - 37*k) in the form a + c*k and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 1:39 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53322 is divided by 516?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -10. Suppose v - 5 = -u. Let q = 21 + u. Calculate the highest common divisor of q and 230.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 281*c + 2 - 5 + 278*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - ((-13 - -43) + -6)) + (-41 - 0)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 632485 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**4 + 430*b**3 - 9665*b**2 + 18060*b - 8820 = 0.\nAnswer: 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2\/6 + 7*a\/2 + 2\/3 = 0. What is a?\nAnswer: -4, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2, 11, 233 in increasing order.\nAnswer: 1\/2, 2, 11, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(2*i + 0*i - i) + (1 - 1 - 2)*(-2*i + 2*i - 3*i) + 3*i + 2*i - i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -105. Solve 0 = -m + 5*v - d, 5*m - 3*v = m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83 - 5465?\nAnswer: -54e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 5*i**3\/3 + 3*i**2\/2 + i. Does 17 divide y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -640, -650, -664, -682?\n\"Answer: -2*j**2 - 4*j - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(510\/(-405))*(-44)\/6. Is y equal to 197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288.8511 plus -0.2225?\nAnswer: -289.0736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(950)*1 - (sqrt(114)*-1)\/sqrt(3))\/(-6*(sqrt(48)\/sqrt(2))\/sqrt(12)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g - 6*g)*(2*g**3 - 3*g**3 + 2*g**3).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4531?\nAnswer: 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {y: 4, r: 2, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n, 4*v = 3*n + 96. Solve 5*w + 18 = i, 2*i = 6*i - 4*w - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003781163 to 6 decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3596 and 25288?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 0*n + 2*n)*(5*n + 6*n + 4*n) + 19*n**2 - 13*n**2 + 13*n**2 to d*n + c*n**2 + b and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 45, 49?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8313489 and 17604?\nAnswer: 4401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 + 176 + 139*j**3 - 308.\nAnswer: 139*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekffffv. What is prob of picking 1 v, 1 f, and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**2 + 46*m + 2. Calculate f(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -445 in -1, 4, -0.2, 2, 112?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9658 = 3*s, -4*s = -5*r + r + 38608. What are the prime factors of r?\nAnswer: 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b + 28 = h, -2*b + 13 = h. Let v(u) = u**2 - 6*u + 6. What is v(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 53 = 11*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -70?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14279*i**2 + 28302*i**2 + 152*i - 374*i**3 - 14255*i**2 + 1 + 10*i**4 - 1.\nAnswer: 2*i*(i - 38)*(i + 1)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/140 - (69\/6)\/(4\/(-189276)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8286.37 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 218918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1572099583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1158806 and 1012?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9769\/2002 - -7\/143. Let y be (-214)\/(-8)*(-337)\/(-2). Let h = y - 4513. What is the common denominator of h and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*a - 17 = 0, 1 = 3*h - a - 0. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, 1, 91, 7.\nAnswer: -74, 1, 7, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -157*k**7\/7 - 346*k**3\/3 + 366. Find the third derivative of t(z) wrt z.\nAnswer: -18840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-48)\/(-27)))\/((-45)\/60)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*p + 28. Suppose -p*x + 316 = -77. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 6\/13*h**4 - 4\/13*h**2 - 2\/13 - 4\/13*h**3 - 2\/13*h**5 + 6\/13*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 0.02047\nAnswer: 0.14329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {p: 4, m: 1, w: 5, q: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5*q)**(1\/30))**(-44) assuming q is positive.\nAnswer: q**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687 = -125*o + 60*o + 418 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 1 - 1 - 4*y + 2*y + 0*y + (-4*y + y + y)*(1 + 2 - 5))*(45 - 42 + 26)*(-3 + 0 + 2).\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -447, -660, -841, -978, -1059, -1072?\nAnswer: -1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 11*i = 80. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 374017621?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(19) + 2)*6 - (-1 + sqrt(76))) + (sqrt(19)*-6 + 5 - sqrt(19) - (-2 + sqrt(475))))**2.\nAnswer: 2040*sqrt(19) + 9961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 221823005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**2 + 35*m**2 + 7*m**2 + (-2*m - 1 + 1 + (0 + 0 - 1)*(-1 + 1 - m) - 1 + 1 - 2*m - 4 + 2*m + 4)*(7*m - 3*m + 13*m).\nAnswer: 34*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-2) + 168\/(-224). Let f be 3\/4 - (-1 - -1). What is d in 3\/2*d**3 + 0*d + f*d**5 + 0*d**2 + 0 + g*d**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0)**2 + 3 - sqrt(112)) + sqrt(112) + -2*sqrt(112) + -3.\nAnswer: -8*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 - 1794*i + 804609 = 0.\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 1 - 788*z - 403*z - 2*z**3 + 6*z**2 - 1825*z + 105*z.\nAnswer: -2*z**3 + 6*z**2 - 2911*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(5)*3)\/(sqrt(54)\/sqrt(144) - sqrt(480)\/sqrt(5))*-2.\nAnswer: 16*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 0*k + 3*k + k**3 - 3*k**2 + k**3 + 6*k**3. Let t(o) = 8*o**3 - 4*o**2 + 4*o. Suppose -281*y + 64 = -297*y. Calculate y*d(z) + 3*t(z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6)*3)\/(1\/(1*-13))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-25) - (-1 + -1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1096357.14 nanoseconds to days.\nAnswer: 0.00000001268931875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 852585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3650570 and 1694.\nAnswer: 3650570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 6 = -10*k. What is the third derivative of 2*s**2 - 9*s**5 + 4*s**2 - k*s**2 wrt s?\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*w - 206 = -w + 184 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*22\/(-1232))\/((-2)\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -91\/4 (b) 0.5 (c) 21 (d) -2\/983 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 478*t**2 - 12*t - 9. Let k be j(-1). Calculate the greatest common divisor of k and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 8*d + 174. Let u be r(19). Suppose -l + u = 243. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 126?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1217803 rounded to three dps?\nAnswer: 7.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(3))**2 + (sqrt(3) - ((-2 + (sqrt(6)\/sqrt(2) - sqrt(3)) + sqrt(3))**2 + sqrt(3))).\nAnswer: -67 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 15*c**3 + c**2 - 2*c + 1. Let q be s(1). Let l(v) = q*v - 6*v - 8*v. Determine l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.008*0.0012864\nAnswer: 0.0000102912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:42 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -143, -141, -139, -137?\n\"Answer: 2*w - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**3 + 6*r**2 + 6*r - 4. What is the lowest common multiple of 105 and i(-2)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p - 15*p**2 + 26*p + 10*p + 21*p**2 + 5. Let z be y(-7). Solve -2*x = 2, -z*x = 3*m - x + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -214, -479, -850, -1327, -1910?\nAnswer: -2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5054601ml in litres?\nAnswer: 0.0005054601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5717*s**2 - 5720*s**2 + 11446*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.119143 less than -2958.29?\nAnswer: -2958.409143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*r = 69*r + 20, -2*r = j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.595133t in milligrams?\nAnswer: 5595133000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 16. Let d(r) = -r**3 - 5*r**2 + 4*r - 4. Let a(y) = -3*y - 18. Let n be a(-4). What is the remainder when d(n) is divided by t(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.6 - 8. What is the closest to 0.1 in 0, i, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/9*-1)\/(232\/696)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 3*r - 2*r + (0 + 12*r + 0)*(0 - 3 + 1) - r + 2*r - 3*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9802*b - 1568. List the prime factors of h(-6).\nAnswer: 2, 11, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 337 + -332. Let s(w) be the third derivative of 2\/3*w**4 - 4\/15*w**f + 0*w + 0 + 2*w**2 + 0*w**3 + 1\/30*w**6. Find b, given that s(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z - 3. Let p(h) = -6*h**2 + 4*h + 4. Let q(r) = -r**2 + r + 1. Let m(x) = p(x) - 4*q(x). Calculate m(l(o)).\nAnswer: -50*o**2 - 60*o - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-1) - 1) + 1. Let d(g) = -175*g - 2271. Let m be d(-13). Suppose -a - 1 = f, 4*y + m*a - 109 = 3*y. What are the prime factors of y?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**4\/8 + 2299*h**3\/8 - 662397*h**2\/4 + 494788*h - 329476 = 0?\nAnswer: 1, 2, 1148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000210714 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**17))\/l*l\/(l*l\/l**(-4)*l) assuming l is positive.\nAnswer: l**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 16. Let p be l(12). Solve -16 = 4*j - p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, m: 1, a: 3, t: 4, o: 1, y: 1}. What is prob of picking 1 o and 2 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2032 - -12?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/117*33\/(-440)*6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y**5 - 1792352*y**4 + 21130697478*y**3 + 102355409052*y**2 + 43410033000*y - 220294560816 = 0.\nAnswer: -3, 22\/19, 23586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -79. Let j(o) = -o**3 + 8*o**2 - 17*o - 20*o - 16*o - q + 57*o. Let z be j(8). Solve 23 = -v + 4*v - 2*l, -2*v + 5*l + z = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 = 5. Is 6 a factor of (s\/10)\/(-4)*90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854130 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 924, 1384, 1840, 2292, 2740, 3184?\nAnswer: 3624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(-25*9\/(-675))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) - (-266)\/8. Let q(t) = 79*t - 6396. Calculate the lowest common multiple of q(81) and (p\/12 + -1)*8.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*i + 94, 3*s + 5*i - 163 - 124 = 0. Let j = s - 60. Round j to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 12*c - 36. Let o be v(6). Put o, -5, -11 in increasing order.\nAnswer: -11, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4 + (-3)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 1. Let s(p) = -13*p**2 - 3. What is s(h) - 3*v(h)?\nAnswer: -13*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -210 - 22424?\nAnswer: -22634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -t + 10, 0 = 3*j - 3*t - 2597 + 2567 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-48)*4\/6\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*m**3*z + 543*m**3 - 2*m**2*z - z**3 wrt z.\nAnswer: -6*m**3 - 2*m**2 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*k**3 - 2 + 286*k**2 - 285*k**2 - 35*k**3 + 1730*k as l + j*k**2 + h*k + b*k**3 and give h.\nAnswer: 1730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5682.888ug?\nAnswer: 0.005682888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from dddmdmmddqddqbmd.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - -119. Let x = t + 44. Solve x*g = 4*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23340*p + 4*o = 23336*p + 20, -4 = 4*p - 2*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -23. Suppose 32 = l*p - 112. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(16))\/((sqrt(162) - -4*sqrt(162)) + sqrt(162)) + 2) + 3.\nAnswer: -3 + sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -337*d**5 + 326*d**4 - 653*d**4 + 327*d**4 + (d**4 - 2*d**4 + 0*d**4)*(-1 + 1 + 2*d) - d**4 + d**4 + d**5 - d**5 + 2*d**2 - 2*d**2.\nAnswer: -339*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 44*w + 450 = 11*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605280499?\nAnswer: 41, 389, 37951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2958 - 26536\/9. Let k = -28\/3 + j. Let 0 + k*c**2 + 2\/9*c = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, and 1 f when three letters picked without replacement from vafucfnuau.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 4*x + 660 = 0. Suppose -7*i = -i - x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(42)\/sqrt(2) + sqrt(21))\/(sqrt(112)*-2 - sqrt(112) - sqrt(112)) + -3*((sqrt(432) - -2*sqrt(432))**2 + sqrt(432)) + (sqrt(1200)*2)**2.\nAnswer: -6861 - 575*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5321379\/16 < -332586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1557051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42234 is divided by 20863?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)\/(l*l*l\/(l*(l\/(l\/l**(-13)*l))\/l)))\/(l*l*(l\/(l**(5\/3)*l*l*l))\/l)**(21\/2))**27 assuming l is positive.\nAnswer: l**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 79.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2595750 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113*w**2 + 224*w**4 + 114*w**2 + 622 + 398*w**4 - 2*w**3 with respect to w.\nAnswer: 2488*w**3 - 6*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4225*q + 78318 + 9371 = -43879 - 71232 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**3 - 42*i**2 + 180*i - 216 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-8))\/(555\/44622))\/((-45)\/30)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/5)*c*c*c**(13\/3) assuming c is positive.\nAnswer: c**(104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 4*b + 76. What is the third derivative of -19*p**b - 10*p**2 - 8*p - 14*p + 20*p wrt p?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*g - 4*f, -3*g - f - 202 + 253 = 0. What is the smallest common multiple of 519 and g?\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -852*v + 872. Determine s(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 391996589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 57 = -3. Calculate the lowest common multiple of w and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3572 and 397594.\nAnswer: 37373836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 341, 684, 1027?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 0*t - 6*t)*(3*t**3 - 10*t**2 - 2*t**3 + 2*t**2) in the form d*t**4 + r + j*t**3 + u*t + l*t**2 and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 33. Suppose -q + 8 = -3*h, 2*q - 6*q = -4*h - 8. Let g be h\/(-5) - b\/(-5). Solve 10 = -2*s, s - g*s - 13 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/8 of a millennium?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -12. Let c be (3\/(-6))\/(9\/k). Sort 5, c, -1 in decreasing order.\nAnswer: 5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 44*q**2. Suppose -2*h + 2*m = -4, 8 = 4*h - 0*h + 2*m. Let g(i) = -h + 1267*i**2 - 1268*i**2 + 2. Give p(g(x)).\nAnswer: 44*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 115. Let l = 32 + n. Let y(d) = -9 + 0*d + 13 + 2*d - l*d**2 + 1. Let k(m) = 6*m**2 - 2*m - 6. Determine -4*k(w) - 5*y(w).\nAnswer: w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567288281 + 557*r + 567288281.\nAnswer: 557*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:30 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 4*a - 35. Put a, 1, -7.3 in descending order.\nAnswer: 1, a, -7.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*y - 159, 3*y + 0*y = 2*j + 69. Let x = -9 - j. Solve 27 = 4*c + 3*v, 4*c = -v - 4 + x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2755976 or -2755974?\nAnswer: -2755974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 2, r: 1, a: 1}. What is prob of picking 1 r and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4498813 to the nearest integer?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 12*v**2 + 9*v - 9. Let j be b(-11). Suppose -4*q + z - j = -q, -28 = 4*q + 4*z. Let s = -0.6 + 0.5. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12487040 and 0.1?\nAnswer: 1248704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904*a - 509*a = -55107 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*h = 0, -2*o - 8 = 4*h + 2. Suppose 11*u + 4*x = 13*u - 18, 5*x + 30 = -o*u. Let w = 0 + -0.1. What is the closest to u in -7, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 243085 and 37515?\nAnswer: 29899455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 4)*(2*b**3 + 4*b - 4*b) - b**2 + b**2 - b**3 + 0*b + 0*b + b**3)*(94*b - 43*b + 35*b)*(5 - 2 + 2).\nAnswer: -1720*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 65.51. Let z = r - 0.71. Suppose 2*v + 7 = 5*h - v, -2*v = h + 9. Which is the nearest to h? (a) 4 (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by 3475.\nAnswer: 232\/3475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/12)*w*w**(1\/12))\/(w**(-8)\/(w\/((w\/w**(-8))\/w)*w)) assuming w is positive.\nAnswer: w**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328858520.\nAnswer: 2, 5, 8221463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*q**3 - 142764*q**2 + 182*q**3 + 71382*q**2 + 71384*q**2.\nAnswer: 539*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.056 + 2.644. Let m = h - 3. Let f = -3.7 + m. Which is the closest to 2\/11? (a) 2\/5 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184948 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:05 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - 43\/2. Let b = -30 - h. Is (3\/b)\/((-1)\/57) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**2 - 572*d + 573*d + 11*d**2 + 6*d + 16 - 2*d**2 - 16 + 0 + 0 - d**2 + (4*d + 0*d - 5*d)*(-2*d + 2*d + d) to u*d**2 + f + m*d and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 9 = 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12843 + -2173. What is the third biggest value in -2\/3, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51035308, 51035315, 51035322?\nAnswer: 51035329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 1:45 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258320930?\nAnswer: 2, 5, 7, 47, 78517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 12*l + 66 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let w(l) = 19*l**2 + 2. What is 4*m(y) + w(y)?\nAnswer: 15*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/91*42\/(-7728)*-46*-4.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*g - 19*g - 21*g + 24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-109)\/(-4) + (8853\/(-884) + 11 - 4\/17)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 11*c**5\/6 - 2895*c**4\/2 + 1290101*c**3\/6 - 18421153*c**2\/2 + 65377576*c\/3 + 11828960 = 0.\nAnswer: -5\/11, 3, 88, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61\/387 + -2\/43. Suppose -10 = 5*o, 11 = -740*n + 739*n - 5*o. Which is the biggest value? (a) 4 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*u + 1\/6*u**3 + 1\/2*u**2 + 0 = 0. Calculate u.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyvfbfvxfbxfbbxyffyx. What is prob of picking 1 f and 2 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 191 and 347.\nAnswer: 66277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 43 + 2. Suppose 0 = 5*m - 18 + 83. Let f = y - m. Which is the nearest to 0.2? (a) -5\/6 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 - 468 - 454)*(3*k + 0*k + 4*k)*(-4 + 5 + 1).\nAnswer: -14462*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38577430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*r - 10237 = -42020 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*c - 47. What is the remainder when (913\/(-22) - -40)\/((0 - 4)\/136) is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + -2.3. Let c = 10 - 17. Let p = u - c. Put p, -2, -5 in decreasing order.\nAnswer: p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 592*h**3 + 2304*h**2.\nAnswer: 4*h**2*(h + 4)*(h + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -1\/3*a**3 + 0*a - 87 - 9\/4*a**4 + 9\/2*a**2 + 1\/5*a**5. Factor s(o).\nAnswer: o*(o - 9)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 9*k**2 - 3*k**3 + 4*k**3 - 15 + 10*k - 2*k. Let z be h(6). Calculate the common denominator of ((-67)\/z + -1)\/(-2 - 1) and -19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163 divided by 30.\nAnswer: -163\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/1107 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k - 3*k - 6 - 20420*k**2 + 20421*k**2 - 2*k. What is t(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2100 = 6*n. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g**2 + 14155*g - 17633?\nAnswer: -10*g + 14155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 5*l - 5. Let y be g(-6). Let s(b) = 0*b + 3*b - 3*b - 6*b**2. Let n(h) = h**2 + h. Let w(i) = y*s(i) + 3*n(i). Factor w(k).\nAnswer: -3*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2383275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*g = 109*g. Find n such that 1\/2*n**2 - 1\/2*n**4 - 1\/2*n + 1\/2*n**3 + g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.078 (b) 3 (c) -7 (d) 14\/39 (e) 7\/2 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, m: 1}. What is prob of sequence mcc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11946 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -34*a**2 + 29*a + 29. Let h(g) = 7*g**2 - 6*g - 6. Let i(y) = 29*h(y) + 6*k(y). Let w(r) = 524*r - 5. What is w(i(f))?\nAnswer: -524*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4126 + 4128. Solve -1434*n = -1435*n + v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 323, 2, 28 in ascending order.\nAnswer: -5, 2, 28, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-21660)\/1350 - (-6)\/135\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let n = 1131 + -1698. Let h = 566.8 + n. What is the closest to f in h, 2\/9, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*n - 4 = -z, 2*z - 3*n + 2 = 0. Solve -4*f = c + f + 18, f = z*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 10:09 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1375.96 + 1350. Let i = f + 26. Let b = -20\/119 + -2\/17. What is the smallest value in -3\/4, b, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267952, 5\/2, -7 in increasing order.\nAnswer: -267952, -7, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 277391 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**2 + 10164*p + 12913362 = 0?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-42) + (-2)\/3)*-2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50832?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -545029 < -545023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111000000 - 0?\nAnswer: 10000111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2 + (2 - 3 + 2)*(0 - 2 + 4) + 62 + 4 + 8)*(-5*d**2 + 2*d**2 + d**2) to n*d + x + q*d**2 and give q.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5564338501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/(-209)*11 + (-131)\/19.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0960386612 to 5 decimal places.\nAnswer: -0.09604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -1346, -3067, -5478, -8573, -12346, -16791, -21902?\nAnswer: -27673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362201 is divided by 672?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 1 - 2)*(-1 - 1 + 4) - 5 + 4 + 0)*(-5 + 0 + 1)*(-6*w + 74 - 74) to j + r*w and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7271 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -25 + -3 + 31\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1306*v + 1310*v - 5*v**4 + 2*v**4 + 3*v**2 - v**3 to the form z + u*v + x*v**2 + l*v**4 + i*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 6. Let j be 1\/((-3)\/3*3\/39). Let s(k) = 3*k + 13. Let a(l) = j*t(l) + 6*s(l). Let i(u) = -u. Determine i(a(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 193201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 121338347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47454756?\nAnswer: 2, 3, 3954563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2559490380?\nAnswer: 2, 3, 5, 19, 249463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 16. Calculate n(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -478146*j**3 - 77642*j wrt j.\nAnswer: -2868876*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-20)*35\/(-728)*4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453213412?\nAnswer: 2, 113303353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**3 + 148*k + 834 wrt k.\nAnswer: -9*k**2 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 - 6*f**2 - 10*f**2 + 10*f**2. Let d(a) = 2*a. What is d(x(s))?\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 174662.\nAnswer: 174664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 1112558*c\/3 - 370852\/3.\nAnswer: -2*(c - 185426)*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 546482?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*q + 2*j + 1, 4*j - 22 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47936110?\nAnswer: 2, 5, 1051, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212 divided by -292?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-7) - (288\/28 - -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4 + 4 + n**2. Suppose 5*b + 6*j - 5 = j, -8 = 4*b - 2*j. Let g(q) = -4*q**2 - 1. Let k(u) = b*g(u) - 3*s(u). What is the derivative of k(i) wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 8*x - 2. Give b(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a - 6 = 0. Suppose 12 = k - d + 6*d, d + 2 = a*k. Suppose -3*x = r + x, 3*r + k*x = 40. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 414 - 239 = 3*c, 2*z - 3*c = 263. What is the remainder when z is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwosvovomsvosmsow. What is prob of sequence mvvw?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2903225)\/2*4\/(-174). Let o = q + -33370. Find the common denominator of -6 and o.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b - 4*i - 121 = 0, 4*b = 4*i - 68. Is (-3)\/b + (-44238)\/(-14) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Suppose r*l = -2*l. Suppose -d - d + 34 = l. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1200146560 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -1. Which is greater: t or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4625, 20476, 47573, 85922, 135529?\nAnswer: 196400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 8:42 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 4:55 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 26*k + 3*k**2 + 9*k. Let v be t(15). Suppose -156 = -q + 3*d, -5*q + 296 + v = -d. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -558*r + 10. Let z(i) = 335*i - 6. Let w(j) = -3*h(j) - 5*z(j). Let f(m) = -8400*m. Calculate w(f(t)).\nAnswer: 8400*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 4*q - 7*q)*(8*q - 1 + 0 - 1).\nAnswer: -32*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134304 - -20?\nAnswer: 134324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 15, 26, 31, 24, -1, -50?\n\"Answer: -i**3 + 6*i**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 - -1122?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16*a. Let w(m) = -3*m. Let y(r) = 3*r. Let o(z) = 3*w(z) + 4*y(z). Determine o(i(q)).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is aa9d (base 14) in base 7?\nAnswer: 152056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 24 = -8*c, -5*p - 8419*c = -8420*c + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -1 - (-13 - -4)\/3. Suppose -20*z + 28 = -12. Solve z*o + r = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 7 - 5 - -23. Suppose -15 = -r*v + 30*v. Which is smaller: v or -52\/25?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 6*q + 4. Let u(y) = 6*y + 4. Suppose 0 = f - 2*b - b + 7, -2*b + 12 = 3*f. Let d(t) = f*s(t) - 3*u(t). Solve d(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2. Let w be -4*1 + (-2 - 21). Let u = 17 - w. Let m(o) = -u - 34 - o**2 + 78. Calculate l(m(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**3 + 8*t**2 + 2*t + 22. Give x(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/(-3) - (-1 + 1). Solve -p = -d - d - 1, 3*d - n = 5*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*d = -744, -3*v + 530 = -3*d + 7*d. Is (v - (5 + -2))\/((-2)\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 850.8318 millimeters?\nAnswer: 850831.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -6. Let m = 0.3 - 0.4. Which is greater: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**6\/360 + 2*u**3\/3 + 5*u. Let p(y) be the second derivative of r(y). Let l(j) = -j. What is l(p(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21372, -21371, -21370, -21369, -21368?\n\"Answer: k - 21373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9087 and 2405.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 19*g**2 + 28*g - 880. Give c(-21).\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -1 - 3\/(-1). Let b = -8.9 - -6.9. What is the second biggest value in b, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n*u**5 - 20*n*u**3 - 17*n*u wrt u.\nAnswer: -20*n*u**3 - 120*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2120, -3545, -4952, -6335, -7688?\nAnswer: -9005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3630 and 4078910?\nAnswer: 12236730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28304541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372810 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 9. Suppose j = -0*j - 4. Let p(q) = q**3 + 5*q**2 + q + 5. Let l be p(j). Solve u = -h - 7, -4*u = -3*u + k*h + l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27070556939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-11 + 4 + 11 - -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14*w + 2. Let h be b(-1). Is (h\/18)\/(-4) - 2216\/(-9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*v + 97 + 2, -242 = -5*j - 2*v. Suppose -j = -3*r - 3*q, -3*r - 5*q = -29 - 23. What is the remainder when 24 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(4 + 7048\/(-1768)). Which is smaller: -75 or r?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 - 4*b + 9. What are the prime factors of a(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -20234.\nAnswer: 7\/20234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhphh. What is prob of sequence phhh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1671*u**2 - 66*u - 35. Let n be v(15). What is n rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from snusxboo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1804, 3646, 5438, 7156, 8776, 10274, 11626?\n\"Answer: -4*r**3 - r**2 + 1873*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 2. What is h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**3 - o**2 - 3*o - 2. Let f be d(-2). Let c = f + 76. Calculate the lowest common multiple of c and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulmqd. Give prob of picking 1 u, 1 d, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.3 + -5. Let w = i - 1.3. Let m be (-2 - (-208)\/56)\/(23\/(-7) + 3). Sort 1, m, w in increasing order.\nAnswer: m, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3*t**2 - 28*q**2*t**2 - 1420*q**2*t - 150*q*t**2 + 41*q*t wrt q?\nAnswer: -12*q*t**2 - 56*t**2 - 2840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 10*t + 19. Let m be g(-14). Let h = 378 + m. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6748 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b18b3 (base 12) to base 14.\nAnswer: c6c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*m - 4 + 5, 2*g - m - 2 = 0. Solve -2*v - 3 = g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-36))\/((2120\/(-384))\/(-53)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508996 or 508997?\nAnswer: 508996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*g - 1606*g + 3*g**2 + 811*g - 435*g**3 - 4361*g**3.\nAnswer: -4796*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 765 = 5*q + 6*m, -5*q = 4*m - 765. Suppose k - 178 = -3*u + q, 2*u - 202 = 4*k. Let z = u + -70. Which is bigger: 38 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**4\/12 + 7*z**2. Let f(u) = u. Give f(y(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.243286 rounded to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173900.\nAnswer: 2, 5, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25423 + -16429. What are the prime factors of t?\nAnswer: 2, 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 8*f + 67. Let p be o(-14). Let i be 34\/(-17)*(-38)\/(-4). Let v = i - p. Which is the fourth biggest value? (a) -4 (b) -2\/7 (c) v (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199007651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -12.4. Let i = -10.1 - -13.5. Let x = p - i. Put -8, -3\/8, x in descending order.\nAnswer: -3\/8, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 2 - (-4 + 14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-549 + 549 + 51*x)*(-6 + 2 - 1) in the form n*x + w and give n.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 163 (c) -2\/3 (d) -1\/439 (e) 2 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -136*g + 134*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -396981, -794176, -1191371, -1588566?\n\"Answer: -397195*c + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85679 is divided by 360.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7195, -6569, -5943, -5317?\n\"Answer: 626*q - 7821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = 28*u - 2*m - 3, -3 = -u + m. Solve 5*y - 47 = u*c - 10, 0 = -5*y + 4*c + 41 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Find the second derivative of 4*u + 22*u - 27*u**3 - x*u wrt u.\nAnswer: -162*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 9\/2*m**4 + 7\/3*m**3 + 0*m + 0*m**2 + 28. What is the third derivative of p(c) wrt c?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Let q(j) = j**6 - j**2 + j + 1. Let z(s) = -s**6 + 6*s**2 - 3*s - 3. Let l(w) = p*z(w) + 6*q(w). Find the third derivative of l(n) wrt n.\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*s**2 - 57*s**2 - 27 + 90*s**2 + 4 - 19.\nAnswer: 90*s**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -4, 2, 5 in ascending order.\nAnswer: -4, -2\/11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -4, 5 in increasing order.\nAnswer: -4, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 + 41 = 4*p. Let n = p - -68. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 108*z + 4. Let o be s(3). Suppose -2*f - 228 = 5*k, 2*k + 2*k = -3*f - o. Round f to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-120)\/(-150))\/((-4)\/(-15)). Suppose -50 = 4*q - 7*q - k, 25 = 5*k. Let r = q + -7. Solve -2*m - 3*i = -1 + r, -3*i + 3 = -d*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 40\/(-6))\/(2\/(-3)). Let g(w) = s*w + 0*w - 5*w - w. Let k(t) = 13*t**2. What is g(k(n))?\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/4*14*(-25)\/3500.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -29, 1, -2, -5.\nAnswer: -29, -6, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 285 + -282. Solve -u - a + 0 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -22*a + 63. Let r(p) = 5*p - 14. Let m(j) = -4*b(j) - 18*r(j). Let o(i) = 34992*i**2. Determine o(m(t)).\nAnswer: 139968*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 12. Let o be u(6). Suppose o = 2*w - f - 16, 3*w - 2*f - 40 = -2*w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 3*i + 22*l - 2971, 4*i - 3961 = -5*l. Is 43 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*u - 5850 = 66*u + 278*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2800 and 875?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -76*z - 3. Is s(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 4*b + b)*(b**2 + 2*b**2 + b**2) + (b + 0 + 0)*(-11 + 0 + 302*b**2 - 301*b**2).\nAnswer: 5*b**3 - 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 37 - 10 = -p, l + 4*p = 9. Let m(i) = 8*i + 7. Let r be m(7). Calculate the highest common divisor of l and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/8, 1, 21002, 0.1, 5 in ascending order.\nAnswer: -5\/8, 0.1, 1, 5, 21002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + -10 + 6 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r + 7575. Let m(i) = 78*i + 27. Calculate m(z(g)).\nAnswer: 312*g + 590877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11219386 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 210 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:51 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20952 or 0.07?\nAnswer: -20952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = -2, 4*h - 172 = 2*t. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*h**3 + 4 - 146*h**3 + 605*h**2 - 30.\nAnswer: -24*h**3 + 605*h**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/10)\/((429\/2860)\/((-9)\/(-6))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*t + j + 177 - 135, -4 + 3 = -2*j + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 13 + 16 = 0. Is (d\/1)\/((-1)\/((-4358)\/2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25407, -25408, -25409, -25410, -25411?\nAnswer: -25412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 17. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/31394 and -7\/2622826.\nAnswer: 28851086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 5 (c) -1\/4 (d) -4\/1263 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 z when three letters picked without replacement from zrzz?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/15)\/(-3) - (-36803)\/520. Let a = -69 + b. Find the common denominator of 63\/10 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (1 + -1 + 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((8 - -6) + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7234 and 6?\nAnswer: 21702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -19.8, -9, 2\/11 in decreasing order.\nAnswer: 2\/11, -5\/2, -9, -19.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 9*p = 0. Suppose p = 3*n - 108 - 132. What is the highest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:06 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*d - 437 = -105 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c = -29*c - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = -4*o, 0 - 2 = 4*o - 5*t. Find u, given that o*u**3 - 10*u - 21*u + 6*u + 5*u**2 + 3*u**3 + 15 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*g + 2*g - 2*g. Let l(o) = -74*o**3 + 13*o - 13. Let p(j) = 37*j**3 - 6*j + 6. Calculate g*l(w) + 13*p(w).\nAnswer: 37*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 150 + (90 - 154) + (8 - 32)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(204)*-2*-1)\/(((sqrt(192) + -3*1*sqrt(192) - sqrt(192)) + sqrt(192))*-2).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u + 636. Let f(c) = 2*c + 368. Let b(i) = 4*d(i) - 7*f(i). Let x(y) = y**2 - 50. Calculate x(b(g)).\nAnswer: 4*g**2 - 128*g + 974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 86578 = -20190. Let k = 1975113\/74 - l. What is the common denominator of k and -67\/2?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b491f + 157?\nAnswer: b4a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1\/4, -2\/128459179?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -1.2, 4 in descending order.\nAnswer: 4, 1, -1.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -30. Suppose 5*g = 2*z + z - 7, -2*z - 2*g = -10. Suppose -4 = -4*b + z*n, -3*b + 0 + 15 = n. Calculate the highest common divisor of a and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1682, -1693, -1706, -1721?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928242 is divided by 377.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -h + 5*h, 5*t - 5*h - 15 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 23 + 42 - 4*u + 3*u**3 - 5*u**3 - 5*u to the form z*u**2 + k*u**3 + f*u + n and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105775488 divided by 3.\nAnswer: -35258496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4)\/((-9)\/12). Sort r, 0.4, -3 in descending order.\nAnswer: 0.4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from slssslslsl.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/3*3 - -8. Solve -r*h + h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-82)\/205)\/(-2*2\/(-100))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/1108 in -26, -0.06, 4\/99, 1\/5?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*3 - -4. Suppose p = 2, 2*p = g*l + 5*p + 2. Suppose 8*u - 10*u = -9*u. Put -9, l, u in increasing order.\nAnswer: -9, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -233*d**5\/6 - 11*d**4\/2 + 3*d**3\/2 - 4192*d**2. What is the second derivative of t(v) wrt v?\nAnswer: -4660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f - 27*f + 64*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 11 + 43\/2*w**4 + 0*w**2 - 30*w + 0*w**3. What is the first derivative of s(z) wrt z?\nAnswer: 258*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/4 + 5*b**3\/3 + 3*b - 4. Let x(m) = -2*m**3 + 11*m**2 + 7. Determine -4*x(l) + 9*y(l).\nAnswer: -l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 178304800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 5*c - 5. Let f be (-2)\/(-3) + 100\/(-15). What is the units digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1 + 11 + 2*z + 10 + 3 - 21 - 3*z**2. Calculate r(6).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -16 - 19 - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10064.44*-4.\nAnswer: 40257.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + r**2 + 3*r - 4. Calculate i(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 7. Let x be t(-5). Suppose -x*p + p = -2. Find the third derivative of -p*o**6 + 4*o**6 + 2*o**6 + 3*o**2 wrt o.\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 1:03 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 378262 (b) -3 (c) 284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2 + 2 + 5*u. Let o(q) be the third derivative of -q**5\/60 - 9*q**2. Give o(c(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 72939930 divided by -6?\nAnswer: -12156655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 46, 77, 142, 253, 422, 661?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2764 by -4.\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 18. Let c be (-1)\/((i\/(-10))\/6). Suppose -6*v + c*v = -18. What is the least common multiple of 10 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1588 + -1586. What is the fourth biggest value in 9, 3, -2\/15, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + j - 39. Let c be z(-9). Let h = c + -263. What is the least common multiple of h and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47815931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 59, 21, -4\/7, 0.3, -0.5?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1002, 979, 954, 927, 898, 867, 834?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = 20. Let j be 10*(-4)\/(q\/15). Calculate the highest common factor of 20 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a (base 11) in base 14?\nAnswer: ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 31. Let h(v) = 9*v - 16. Let i be h(r). Suppose -5*j - i*j = 175. Do j and -25 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/1 + (118818\/(-1071) - -121).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 11:46 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((6 + -3)\/3)\/(2\/502) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3702 divided by -3.\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2142918*k**3 + 4115502?\nAnswer: 6428754*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k + 15. Suppose -4*t = 4*z + 33 + 3, -13 = -3*z + k*t. Is (-222)\/z + (-2)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9)**(-43) assuming v is positive.\nAnswer: v**(-387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*(-50)\/(-170)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -107, 0.1, -1\/8, 4\/7 in ascending order.\nAnswer: -107, -1\/5, -1\/8, 0.1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 8769588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 5*m - 1. Let x be p(6). Let g = x + -8. Let r = 0 + 0.1. Which is the biggest value? (a) r (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 + -3. Let x(c) = c**3 + 4*c**2 + 9. Let k be x(-4). Suppose -k = 3*y - 0*y. Put y, f, -11 in increasing order.\nAnswer: -11, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/17)*(q\/(q*q**(-1\/7)*q))\/q)\/((q\/q**0*q)\/q)**(5\/16))**(-41) assuming q is positive.\nAnswer: q**(178555\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 729738*w + 1459490. Calculate k(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.9844 rounded to 0 dps?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.06, -0.2, -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -49*-77.5\nAnswer: 3797.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 17995\/(-549)*1?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11910 + 11915. Which is the nearest to -2\/7? (a) -0.3 (b) w (c) 3 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162692?\nAnswer: 2, 3, 32297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from ctttkceke.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 2)*(2 - 5 + 1)*(3*v + 3*v - 4*v).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9*x - 368 = 0. Let r be x\/12*(-24)\/(-4). Let w = r - -17. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 37*k**2 + 13*k + 7. Let p = -29 + 20. Is o(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 945 and 15851422714.\nAnswer: 15851423659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 40. Let d(s) = -70*s - 165. Give d(c) + 4*l(c).\nAnswer: -62*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 127 - 132 + 3968*h - 127 + 523.\nAnswer: 3968*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 - 3*d**2 - 18*d - 379. Calculate g(5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -4*y + 210. Calculate the remainder when 354 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722456 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: Simplify ((1 + -1*sqrt(192) - 1*(sqrt(192) - 3*sqrt(192))) + 5 + -2)**2.\nAnswer: 64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 136*t**2 + 1741*t + 1280. Calculate j(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 2 + 8 - 4)*(1 - 2 + 3) in the form b + s*o and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 - 66261*h**3 - 365976054*h**2 - 1097464380*h - 731554584 = 0. Calculate h.\nAnswer: -11042, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2660 and -0.1.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-4)\/(-12)*((-28)\/(-7))\/(-32)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 4:24 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4 + (501 - 460)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {q: 5, j: 13}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3101503 years to centuries.\nAnswer: 0.003101503","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from {h: 1, b: 1, f: 2}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13489291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2682 is divided by 2593?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b - 956 + 950 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.38*-242549.\nAnswer: -1062364.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 277967390309 and -4158.\nAnswer: 277967386151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*v + 1, -11 - 2 = 3*k - 2*v. Let a(l) = l**3 + 8*l**2 + 9*l + 5. What is a(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1390*q - 1361*q = -2811*q - 240 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19962046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 48. Let u = -30 - y. What is the greatest common divisor of 14 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13568975702*w**3 + 13568975719*w**3 - 2*w**2 + 2*w**2.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -28, 36, -4.\nAnswer: -28, -4, -2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 equal to -265602.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298 and 4619.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = k + 34. Is 35 a factor of (1*k + 4)*(-24)\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, -38, -0.4, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -29751525 to the nearest 10000.\nAnswer: -29750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -64358128 divided by 1\nAnswer: -64358128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-6))\/((-13)\/(78\/(-20))). Factor 0 + 2\/5*f**4 + 2\/5*f**3 - 2\/5*f**2 - c*f.\nAnswer: 2*f*(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18158472 - 18158472 - 6*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 1ba25?\nAnswer: 1ba23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (2024\/6)\/4 - (-3)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93300157 - -76.\nAnswer: -93300081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 612860587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*g - 2962, -3*g + s = 2*g - 3712. Suppose 6*i + g = -8318. What is i rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**8\/320 + z**6\/48 + 7*z**4\/3 - z. Let y(l) be the third derivative of r(l). What is the second derivative of y(g) wrt g?\nAnswer: -126*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -117, -164, -249, -384, -581, -852?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(2*sqrt(2057) + -4) + (sqrt(2057) - (-1*(sqrt(2057) + 1) - sqrt(2057))) + -5)**2*-2*5.\nAnswer: -68640*sqrt(17) + 3482090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 344.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -378 + 400. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117\/5 greater than or equal to 127511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 0 + 0)*(6 + 2 + 5)*(9*d - 30 + 30) in the form w*d + q + h*d**2 and give h.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*1 + (5 - 3). Let q be ((-8)\/24)\/(a\/18). Suppose s + 115 - 337 = -4*b, q*s + 2*b - 414 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-24)*2\/12*-16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + (-1 + 2 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Suppose y + 1 = 2*n. Let m be (48\/18)\/(n\/3). Sort m, -3, -5 in descending order.\nAnswer: m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42, -90, -162, -252, -354, -462, -570, -672?\n\"Answer: p**3 - 18*p**2 - p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 172071051.03 + 0.69\nAnswer: 172071051.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -293\/1083 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 99*y. Let j(b) be the second derivative of b**4\/12 + 1328*b. Give i(j(f)).\nAnswer: 99*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 1079*y**2 - 531*y**2 - 3054*y - 545*y**2 = 0.\nAnswer: 0, 1018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5 + 5*z**4 + 112*z**3 - 173*z**2 - 166*z + 112 = 0.\nAnswer: -7, -1, 1\/2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 2:37 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + ((-42840)\/(-238))\/(171\/24).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1)*(1403 + -1394)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -44) + -4 - (-149 - -164) - (2 + -1)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*j - 43*j + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -5\/3*q**3 - 1\/2*q**2 + 2 - 2*q - 1\/4*q**4. Let w be h(-6). Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 969397429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + 147. Is 24 a factor of y\/((-16)\/4 + 7 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 549, 2625, 6087, 10941, 17193, 24849, 33915?\n\"Answer: s**3 + 687*s**2 + 8*s - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 43*k**4\/12 - k**3\/3 - 4*k**2 - 4*k. Is t(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + 1.98. Let m = -0.03 + 0.13. Which is the nearest to -2? (a) i (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 3*f - 305. Give w(16).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.052 + 0.248. Let i be (348\/(10 + -6))\/(-1 + 14\/8). Do g and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345644 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5690 = 1466*x - 28028 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12, 3, 14, 15, 0, -37, -102, -201?\n\"Answer: -u**3 + 4*u**2 + 10*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -11. Let q = -8 + m. Find the third derivative of 0*d**2 + 0*d**5 - 2*d**2 + 0*d**q + 3*d**5 wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d (base 16) to base 13.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-2 - (-4 + -2)) + -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, n: 5}. What is prob of picking 3 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 13554838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**3\/27 + 292*g**2\/9 - 583*g\/9 + 4651. Determine u, given that o(u) = 0.\nAnswer: 1, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 38489904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/22)\/t*t*t\/(t\/t**(-15))*t*t*(t\/(t\/(t\/(t\/(t*t**9\/t*t))*t)*t*t))\/t**1 assuming t is positive.\nAnswer: t**(-109\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/44*3740\/(-6545)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 - 13*g - 36. Let o be n(-5). Solve 4*h = -4*q - o, 4*h - 8*h - q - 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u**5 - 225*u**4 - 235*u**3 + 175*u**2 + 255*u + 50 = 0. What is u?\nAnswer: -10, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 6. Let z be (3 + -3)\/c + 34. Suppose -6120 = 15*x - 35*x. Calculate the greatest common factor of z and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + l = 7*p - 7013, 0 = -p + 2*l + 1399. Let z = p + -855. Round z to the nearest ten.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 8\/15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:12 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 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: Simplify (4 + -5*((sqrt(325) - (1 + sqrt(325) - sqrt(325)) - sqrt(325)) + 3)*5)*-1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 8 = -5*m. Suppose 0 = -3*b + 4*o + 12, -o = 3*b - m - 23. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5339394*k**2*s**3 + 2*s**3 + 143*s**2 - 53*s wrt k.\nAnswer: -10678788*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-4*6)**2 - ((2 + sqrt(11)*-1)**2 - (sqrt(220)\/sqrt(4))\/sqrt(5)).\nAnswer: 5*sqrt(11) + 101361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(14)*-1*1)\/((sqrt(16)\/sqrt(4))\/sqrt(2) - 1*sqrt(2)*-2).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 4*m + m)*(400 + 2030 + 669) to r*m + f and give r.\nAnswer: 3099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*q**2 - 474*q**2 + 21*q**5 + 3380*q**2 + 6*q**5 + 23*q**5 - 16*q**4 wrt q.\nAnswer: 3000*q**2 - 384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 3*n - 4*n + (3 - 2 + 0)*(2*n - 4*n + 5*n) - n + 2*n - 3*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.56331nm in millimeters?\nAnswer: 0.00002956331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqqd when four letters picked without replacement from iidsiqdmidiidiqss?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -396 + 401. Let b(g) = 3*g**3 + 13*g**2 - 3*g + 19. Let i(w) = -2*w**3 - 7*w**2 + w - 9. Let h(p) = -3*b(p) - 5*i(p). Is h(y) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + 3*h**2 - 5*h as d + z*h + o*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 6*s**2 - 20*s + 1. Is 25 a factor of m(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -47, -57, -71, -89?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(3)*-5)\/(sqrt(108) - (sqrt(108) - 2*sqrt(108)) - sqrt(108)) + (4*(sqrt(1584) + -1) - (-5 + -2 + sqrt(1584)))**2.\nAnswer: 1291*sqrt(11)\/6 + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-4) - (-8 - 0). Let z = 12 - r. Let d be (0 + 0)\/(z\/3). Is 3\/7 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*a - 29*a - 28*a**3 + 27*a**2 wrt a?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = -0*d + 5*d. Suppose d = 4*g - 62. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3414 + 6812 - 3398 + 143*t**2.\nAnswer: 143*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yaq when three letters picked without replacement from {v: 2, q: 1, y: 1, a: 4, z: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s + 330 = 0. Let n = s + 44. Let z(a) be the second derivative of -2*a**3\/3 + 150*a - 2. Let q(d) = 15*d. What is n*z(l) - 6*q(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 25036.3 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154686 and 8332338?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -216416 divided by 16?\nAnswer: -13526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 28*m + 20. Let g be t(14). Let u = g - 16. Suppose -u*f + f + 81 = a, 3*a - 2*f = 199. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-212)\/20 + (-78)\/(-6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 4*n - 4*n)*(3*n + 0*n - 2 - n).\nAnswer: -18*n**2 + 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/20 - 12\/20. Solve z*j - 2*j = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/42)\/(25\/(-10)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 971, -0.4, 1\/5, 16, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162056184 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 958872\/241 or 3978?\nAnswer: 3978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 151302.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4*(-1)\/6)\/(2\/(-3)). What is the greatest common divisor of 2 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 9, 10, 9, 6, 1, -6?\n\"Answer: -s**2 + 6*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10861 + 10867. Let c(z) be the third derivative of 0*z + 0 + 0*z**4 - 2\/15*z**3 - 16*z**2 + 1\/100*z**5 + 1\/600*z**l. Factor c(q).\nAnswer: (q - 1)*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-12)*3\/2. Let l = -10 + 14. Suppose -b + 1 = 2*u - l, q = -u - 5*b. Let a(r) = r**2 - 7*r + 2. Calculate a(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + 4 + sqrt(432)*-2)**2 + (-2 + -1*sqrt(432) + sqrt(432) + 2)**2*-3.\nAnswer: -144*sqrt(3) + 1737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c. Suppose -5*a = 3*p, 0*a - 2*p = 5*a. Suppose 4*i - 8 = -a. Suppose 0 = 5*x - 3*t - 14, i*x = t - 2*t - 1. Calculate h(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k - 31*k + 55*k - 9 - 9 + 3.\nAnswer: 5*k - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*l - 1088 - 2191 + 795 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731760 rounded to the nearest 10000?\nAnswer: 2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 16 = -3*s. Suppose s*v - 8*v = -84. Calculate the lowest common multiple of v and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -3*i**5\/5 + 53*i**3\/3 + 48*i**2 - 151. Find the second derivative of j(v) wrt v.\nAnswer: -36*v**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1952 - -3103. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(3\/(-30) + (-4 - 196\/(-40))). Solve 3*c + 3\/2*c**4 + 0 + 6*c**3 + p*c**2 = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9820 = 9821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011293933443 rounded to seven dps?\nAnswer: -0.0112939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/42*6*54\/5859.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125629 to the power of 1\/2, to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 2229.\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -417, -897, -1377, -1857, -2337, -2817?\nAnswer: -3297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.033, 4, -4, 7.\nAnswer: -4, 0.033, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -7. Suppose 0 = 4*u + g - 19, -10 = -u + y*g - 4*g. Which is the closest to -1? (a) u (b) -5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 65610*b**2 + 196875*b.\nAnswer: -5*b*(b - 3)*(b + 13125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/((-1441)\/109516)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.38 - -0.38. Let x = -8865\/4 + 2217. Which is the smallest value? (a) -0.11 (b) x (c) j (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1826 is divided by 860?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {c: 1, h: 14, j: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -211\/152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 84 = 17*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {u: 1, w: 2, p: 1, t: 1, g: 2, f: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (-2 - -6) - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 825 and 900.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*z - z. Let m be (-25)\/(-10)*260\/25. Let s be 30\/75 - m\/(-10). Put z, s, -4 in ascending order.\nAnswer: -4, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 802*z**2 - 17*z - 79. Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1429*n**2 - 6*n + 487*n**2 + 487*n**2 + 456*n**2.\nAnswer: n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:57 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3313*b**2*n**6 + 2*b**2*n**2 - 1380*b**2*n - 1 wrt n?\nAnswer: -397560*b**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3639 + 745 = -531*w - 10484 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*i + 2214 = 0. Suppose -25 = 5*r, 6*z - 2*z - r = 21. Suppose -z*q + q = -i. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f + 2*x = -4948, -4*f - 5*x = 4960. Let a(l) = -329*l - 18. Let t be a(-7). Let b = t + f. What is b rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - 4*a)*(313 + 68*a - 313).\nAnswer: -68*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from hhhhzhzzhhhzhhhhzh?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/6)\/f*f*f**(-7\/5)*f**0\/(f*(f*f**(-3\/2)*f*f)\/f))**(-1\/43) assuming f is positive.\nAnswer: f**(56\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4952 <= 2590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m - 30*m - m**2 + 14*m + 2. Let l be h(-2). What is the second derivative of 4*d**2 + d**2 + 0*d**2 - 5*d - l*d**2 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + 6*d - 4*d**2 + 28 - 27 - 2*d**3 + 2*d**4 + 3*d**2 + 3*d**4 as u*d + g*d**2 + r*d**4 + k*d**3 + m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from fxzzzxzzxzfzaxzzz.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2405 + 2409. Solve -i - 5 = 13*d - 11*d, 0 = 2*d + c*i - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -629 + 560. Let p = 68.7 + a. What is the nearest to -0.05 in p, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39450)\/(-698265))\/((-5)\/3)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503*j = 495*j + 32. Solve 0 = 5*s + 4*g, -g + j*g = 4*s - 31 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -93*c**2. Let w(y) = y + 36 + 23 - 59. Calculate x(w(g)).\nAnswer: -93*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -630*o**3 - 2*o**2 + 109?\nAnswer: -3780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + 5.07. Let z = -228.1 - -224.1. What is the third biggest value in z, -6, d?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 4:23 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 - 3*x**3 - 7*x**2 - 3*x + 9. What are the prime factors of w(11)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(1 - 5 + 3)*(1 - 1 - x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175, 0, -5, -10, -2, -4 in descending order.\nAnswer: 175, 0, -2, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o**3 + 1\/2*o**2 + 1\/4*o + 0 - 1\/2*o**4 - 1\/4*o**5 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**11*g)\/(g*g\/g**(4\/7)*g))\/(g*(g\/g**4*g)\/g)**(-21) assuming g is positive.\nAnswer: g**(-227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-1)\/sqrt(7))\/(sqrt(144) - 3*sqrt(144)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101011110 (base 2) to base 10.\nAnswer: 3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 24*k = 14350. Is 41 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + a**4 + a**4 + (3 - 3 + a**3)*(a - 4*a + a) + a**4 - 4*a**4 + a**4 + 1 + 12*a**4 - 2*a**3 + 8 + a**3.\nAnswer: 9*a**4 - a**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124 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: What is the closest to 2\/9 in 7, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6 + 3 + 2 + 696 is divided by (6 - -46 - -6)\/((-4)\/(-6))?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 0 + 100 + -32 - -16?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 53*w**2 - 3*w + 152. Give i(53).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20735*s - 20734*s + 305191 - 305126.\nAnswer: s + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30240 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007334 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2 (c) 15\/161 (d) -3 (e) 1 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2885402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 4*j + 5. Suppose -v - 2 = -0. Let r be p(v). Is (r - 0)\/((-19)\/(-342)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q + o, -19 = -4*q + 3*o. Sort q, -3, 0.\nAnswer: -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 365.58 + -365.6. What is the second biggest value in 2\/7, -0.04, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -5*x + 4*j, 5*j = x - 4*x + 161. Let f = x - 33. Calculate the greatest common divisor of f and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27599.79 and -50477.\nAnswer: -78076.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gabyauc. Give prob of picking 2 a and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.6 times -5416?\nAnswer: 1026873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 1394 = -368 - 3269 + 1089 for s.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/37 (b) 3\/5 (c) -1\/5 (d) -0.3 (e) -0.1 (f) 1.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 55*s = 348 + 1992 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.3 (b) -6 (c) -0.1 (d) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.23 and 19190?\nAnswer: 19190.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 10:22 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 - -185.1. Which is the closest to v? (a) 5 (b) -1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 2\/521, -2, 2\/3, 4\/7.\nAnswer: -2, 2\/521, 0.08, 4\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-92)\/12 + 8)\/(-1). Let x = 4.08 + -4. Put a, -4\/5, -0.4, x in decreasing order.\nAnswer: x, a, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-5 - 9)\/1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79364 a multiple of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 - 98*h**2 - 23*h + 68. Let w be u(-33). What is w rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2206.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/342 and 109\/138852.\nAnswer: 138852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1359 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 281*w + 1156. Calculate r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -6. Let y be (1 - (-6)\/(-2))\/n. Solve -3*w + 9 - y = h, 5*w - 5*h = 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 30*q**2 - 24*q + 24. Let w(l) = 6*l**2 - 5*l + 5. Give 5*i(s) - 24*w(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.4 + -7.4. Which is the smallest value? (a) y (b) 1\/5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(198)\/sqrt(11) + sqrt(18) - sqrt(18))*-4 + (sqrt(108)*-3)\/sqrt(6))\/(((sqrt(324)*1 + sqrt(324))\/sqrt(12))\/(sqrt(363)*2)).\nAnswer: -121*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13546362877 take away 2?\nAnswer: -13546362879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -192*p**3 + 70878*p**2 + 68579793?\nAnswer: -576*p**2 + 141756*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27891 - -27886. What is the nearest to 0.1 in 2\/15, 4\/17, x, 4\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -n - 2 - 7, -4*n + 5*z - 6 = 0. Let p(i) = -i**3 + n + 4*i**3 - 4*i**3 - 5 + 3*i**2 + i. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 2:51 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.75. Let w = -0.05 - j. Let v = 0.6 + w. Which is the nearest to v? (a) 5\/3 (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 430*a - 12 - 852*a + 432*a**3 + 11 + 428*a in the form l*a**2 + s*a + p*a**3 + b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -55331.\nAnswer: -4\/55331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(108) + sqrt(108) + 0)*-6 + (1*sqrt(108) + 1 - sqrt(108)) + 2*(sqrt(108) + -1) + 4)**2*-5.\nAnswer: -54245 + 4200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 7*u + 12. Let g be z(8). Suppose a + 14 = 4*n - 5*n, -50 = g*n + a. Is ((-46)\/4)\/(3\/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 divisor of 15 and 18975?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2027*u**3 + 139 - 1587*u**3 + 3121*u**3 + 65 wrt u?\nAnswer: -1479*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {s: 4, v: 7}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2\/9*m**3 + 0*m + 0*m**2 - 2\/9*m**5 + 0 + 0*m**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)\/(c\/(c\/c**3)*c))\/(c*(c**(1\/2)*c)\/c*c)**19)\/(c**(-2\/9)\/c*c*c**(-2\/5)*(c*c**(-1\/5))\/c**(-2\/3)) assuming c is positive.\nAnswer: c**(-4891\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 0, 1 in ascending order.\nAnswer: -5, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-14)*u**7\/u*(u\/(u**(2\/13)*u))\/u*u**(-2\/5)\/u*u*u assuming u is positive.\nAnswer: u**(-556\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/120*-4 + 668\/60 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6307*p**5 - 14*p**4 + p**3 + 2421*p**2 - 4*p - 4 wrt p?\nAnswer: 378420*p**2 - 336*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-341)\/(-186) + -2 + (-1 + 4 - 2). Put 421, 5, 2\/5, w in decreasing order.\nAnswer: 421, 5, w, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 275, -482.9 in decreasing order.\nAnswer: 275, 6, -482.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-3)\/6 + (-57)\/38. What is the highest common divisor of s and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 101 = 4*u. Let r be 2\/(-9) + (-8)\/u. Solve 0 = -v - 4, 3*v + 18 = 3*j - r*v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1919 + -3206. What is the remainder when (-1)\/2 - l\/22 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*w = 352*w - b + 46, -2*w - 5*b = 3*w + 115 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m = -4*r, 3*m = -5*r - 1. Let a(k) = -8*k - 9. Let l be a(m). Suppose -2*w + l*w = 240. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 1. Let n(d) = 27 + 55*d - 53*d - 59 + 28. Calculate 10*j(b) - 2*n(b).\nAnswer: -14*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -3752318538.6 and 2.\nAnswer: -3752318536.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -32072 (base 8) to base 2\nAnswer: -11010000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 229460 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.68 - -0.08. Let d = j + 1. Put -0.2, d, -2 in ascending order.\nAnswer: -2, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 + -206.1. Let a = -25 - q. What is the biggest value in a, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/(1\/2). Let o(w) = 14*w + 1. Let n(j) = 41*j + 3. Let g(l) = -6*n(l) + 17*o(l). Give g(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i*r**6 - i*r**4 + 127*i*r**2 + i*r wrt r?\nAnswer: 480*i*r**3 - 24*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 1:30 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**2 - 129624796*t - 402950116.\nAnswer: -2*t - 129624796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -6*c**4\/5 + 18*c**3\/5 + 18*c**2\/5 - 66*c\/5 + 36\/5 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 2*m. Which is the third smallest value? (a) m (b) 9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -339 + 343. Suppose 4*c + s*u = 3836, 13*c - 2*u = 9*c + 3818. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4))**(2\/59) assuming j is positive.\nAnswer: j**(1\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2 (b) 9 (c) 54.7 (d) 1\/4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1341 = -348. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/991, 1\/3, -21053 in increasing order.\nAnswer: -21053, -2\/991, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -86.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -375, -367, -359, -351, -343, -335?\n\"Answer: 8*z - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001382295879 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414, 429, 450, 477, 510, 549?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(891) - (-4 + 1*sqrt(891))) + 2 + sqrt(891)*-2*-6*-3 + 5)*-4)**2.\nAnswer: -101088*sqrt(11) + 18477297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84175420*u**2 + 53670473 wrt u.\nAnswer: 168350840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c - 1b?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9275470 is divided by 1659.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11120 + 11242. Is x greater than or equal to 47\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(208)*-3 + sqrt(208) - (-1 + sqrt(13) + -1 - sqrt(13) - -4*sqrt(468)).\nAnswer: -8*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 3)*-5.\nAnswer: -55*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bebvwwvbbbwrbbebbee. Give prob of sequence erwb.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 49, 59, 71, 85, 101?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4, -639 = -4*u + 8*u - 5*c. Let w = u - -159. Sort 0, w, 2 in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in -1, -0.3, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -2*a - 2. Let g(k) = 3 + 4 - 1 - k + 0. Calculate -2*g(l) - 7*i(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -0.12, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21220132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*c + 0*c - 12 = 0, 12 = 3*h - 2*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*q - n - 19, 4*q + 3*n = -7. Suppose -4*c + 3*j + 11 = 0, -c - 2*j = q*c - 21. Suppose -c*y - z + 5 = -4*y, -z = 5*y - 5. Is y equal to -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 11*f**2 + 14*f + 19. Let n be p(12). Suppose -n*q + 39*q + 408 = 0. List the prime factors of q.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**8\/3192 + 2*n**7\/665 + 3*n**6\/380 - 2*n**5\/285 - n**4\/19 + 2*n**2 - 234*n. Solve r(f) = 0 for f.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.01 and 28947521 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 + 1 + (3 - -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -838 - -830. Which is the third biggest value? (a) -2 (b) 0.05 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1971400 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (30\/35)\/(-10*1\/14)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1195 and 132022883?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 310, 0.2, -1, 5?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (48306\/8)\/((-232)\/(-928))?\nAnswer: 3, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*i + i + 7*i)*(-2*i**4 - 4*i**4 + 4*i**4) + 2*i + i**5 - 2*i + (5*i - 4*i + i)*(4*i**4 - 3*i**4 + i**4).\nAnswer: -51*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011110001100 (base 2) to base 3.\nAnswer: 111212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 1115224 (base 8) to base 3\nAnswer: 120022212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.747656 seconds in hours?\nAnswer: 0.00548546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102044 = -12*p + 44320. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -221\/14 - -31\/2. Let k = -378.07 - -373.07. Which is the biggest value? (a) h (b) -0.1 (c) -1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/4 + 215*j**2 + 5981*j\/4 + 4265\/2 = 0.\nAnswer: -853, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.239 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8 + -20 + 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v*x**3 - 20*v*x**2 + v*x + 12908*v wrt x?\nAnswer: 6*v*x**2 - 40*v*x + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -267.07643 and 0.4.\nAnswer: -266.67643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -12. Let r = j - 7. Which is smaller: r or 11\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2676, -17360, -41834, -76098?\n\"Answer: -4895*o**2 + o + 2218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 206543121 - 1?\nAnswer: 206543120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.153 - 10.053. Let c be ((-2)\/9)\/(2\/(-3)). What is the nearest to -12 in j, 2\/15, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.50012 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*(i\/i**(1\/7))\/i)\/i)\/i**7)\/(i*i*i**(-7)*i**(1\/11)))**(-12\/11) assuming i is positive.\nAnswer: i**(1140\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 220*11\/44 - 9. Calculate the highest common divisor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 5. Determine k(-16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*w + 109*w + 111*w - 2*w**3 - 436*w + 113*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -1931144.92\nAnswer: -1931156.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.093, -1\/8, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65810 in 3, 0, -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 6*p + 1. Let w be b(5). What is the greatest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 6:08 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3245*i - 660 = -3185*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 111*w**2 - 9*w + 72. Let m(d) = -11*d**2 + d - 7. Give -21*m(j) - 2*u(j).\nAnswer: 9*j**2 - 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/4 + 1775*j**2\/4 - 4113*j\/2 + 1174 = 0. What is j?\nAnswer: 2\/3, 4, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139.96 - -140. Is k != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 5*j**3\/6 - 3*j**2 + 10*j + 2. Let b = -2 + 8. What is the tens digit of p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2545)\/(-15))\/((-7)\/21). Let y = p + 514. Solve -y*i = 3*v - 20, -4*i = -2*i - v + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77594 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/40 and 235\/(-240) + 9\/24.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 60, 135, 272, 495, 828?\n\"Answer: 4*l**3 - 5*l**2 + 24*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 10*r + 12. Let c be z(8). Let x be (-154 - (c + 3)) + -3. Let p = 587 + x. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + 1\/(1\/(-4)). Let k = u - -11. Let j(p) = 11*p**3 + 14. Let s(m) = -4*m**3 - 5. Calculate k*s(i) + 6*j(i).\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 1006 = -2*r - 876, 0 = 3*g + 2*r - 98 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 34719355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*l + 79*l - 73 + 68 - 104*l.\nAnswer: 22*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*h - 462, 5*q - 10*q - 3*h = -762. Let w = q - 148. Solve 8 - w = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 10, -2\/9, -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1612 - 33?\nAnswer: 15ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901039849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = 49*v + 272 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10942 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*k - 2 - 2 = -4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 + 101. Let k = -7\/3 + 181\/75. Put k, 0.1, f, 4 in ascending order.\nAnswer: f, k, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 2, t: 1, k: 6, v: 8}. Give prob of sequence uv.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -863\/45 + 97\/5. Let z be -8 + 8 + 15\/105. Which is the nearest to -2\/11? (a) 3 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-15 - 1)) + (-4582 - -4549)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 1360590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1604*j + 3224*j + 5*h = 1616*j - 14, 4 = -j - 3*h - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (254 + 177*l + 2*l**3 - 254)*(-1 - l + 1) as f + b*l**2 + k*l**3 + n*l**4 + y*l and give b.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -150. Suppose 0 = 5*x - g - 4343, y*g - 2*g = -x + 865. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-3) - 1) + 0. Let w(o) = o**2 + 4*o - 8. Let q be w(m). Let k = 0 - q. Solve 2*s = -5 + k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -514662, -1029296, -1543920, -2058534, -2573138, -3087732, -3602316?\n\"Answer: 5*y**2 - 514649*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/585 in -5, -1, 4, -47, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161 + 163. Let n(d) = -3*d. Let o(f) = -f - 1. Calculate p*n(a) - 2*o(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2. Let q(d) = -d - 8. Let v(j) = 2*j + 4*j - 3*j + 18 - 2*j. Let x(b) = 9*q(b) + 4*v(b). What is x(t(w))?\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5109295 times 0.2?\nAnswer: -0.1021859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 - 3*q - 4. What is w(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 1, 139, -13 in decreasing order.\nAnswer: 139, 7, 1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/9 + 634*z\/9 - 362896\/9 = 0. What is z?\nAnswer: -613, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2*(-410600)\/300 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)\/((-2)\/(-2)). Suppose z = -3*q - 2*q - 165. Let u = q + 98\/3. Is -1 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7170730, -7170702, -7170656, -7170592?\nAnswer: -7170510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Solve -13 = -p*c + 3*s, 1 = -4*c + s + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546 + 2*g**3 + 275 + 271.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 7 + (-42 - -2 - -43)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1054206*k + 1054206*k + 14455*k**2 in the form c*k**2 + g*k + i and give c.\nAnswer: 14455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 7. Let z be l(5). Suppose 12 = -5*a - 3. Let t be (a\/z*4)\/2. What is the closest to 1 in t, -4\/5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k + 160. Let g(a) = -69*a**2 + 619*a + 78. Let y be g(9). Calculate the greatest common factor of k and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -48705071?\nAnswer: 48705075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095878 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - l**2 + 3. Let d be c(0). Suppose -31 = -5*m + 4*v + 2, 4*m = 5*v + 30. Let u be 534\/18 + 2\/6. Solve -8 = 3*a + i + 10, d*a + u = -m*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4721 divided by 815\nAnswer: -4721\/815","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5 = 4*v - 7, -2*v - s = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87635646 by -76806.\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*n + 4 = 0, -4*t = -8*t - 2*n + 32. Let j be -1*((-32)\/(-12) + (-4)\/t). Is 0 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2 - 26*r**2 - 5*r**3 + 25*r**2 - 1. Determine x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 7 - (-11 + (-29 - -31))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-3)\/((-18)\/(-66)) + 17 and 325?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (1 + 7 + 2 - (8 + -5)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 412\/91 + -44\/13. Factor -32\/7*w - 2*w**2 - y.\nAnswer: -2*(w + 2)*(7*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - -42. Suppose 4*m - 5*c = m + p, 47 = 2*m - 5*c. What is the least common multiple of m and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*a - 12 = -2*a, -a + 2 = 2*i. Suppose -2*r = -i*c + 12, -12*c + 7*c + 2*r = -27. Solve -2*z = 4*j - 26, c*z - 9 = -j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 28, 155, 424, 883, 1580, 2563, 3880?\nAnswer: 5579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {l: 2, n: 1, v: 1, p: 1, x: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Suppose 2*h - k*h + 72 = 0. Calculate the common denominator of 65\/8 and (-1)\/3 + 501\/h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -432\/5 + 87. Let i = 638 - 637. What is the closest to i in c, 0.2, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 45 = -9*x, 34*c - 25 = -5*x + 38*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21589 is divided by 56?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31549.\nAnswer: 7, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 1055*n - 2 = 1056*n, -41 = -41*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 - 6*d**2 - 7*d**2 + 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*u - 7. Let f(d) = d**2 - d - 2. Let p be f(u). Solve 0 = -p*j - 2*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4182 divided by 17?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.204957 rounded to two dps?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)\/i*i**(-3\/5))\/((i\/(i**(-2\/19)*i)*i)\/i**7))\/((i*i**0)**47*(i*i**(2\/5)*i)**15) assuming i is positive.\nAnswer: i**(-8142\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 - -170. Calculate the least common multiple of 2 and (144\/20)\/(b\/(-25)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5788 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 10:20 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027782 to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*j + 6, 10*j - 15 = -4*t + 5*j. Let k be 1 - (2 + -1 + 2). Let d be 4 + k*1 - t. Let n(c) = -c. Let q(o) = -6*o. Give d*q(p) - 14*n(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(-154 + 153)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19473\/29 at least -670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110 is divided by 891.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d + 35. Let z(g) = 1. Let i(o) = -t(o) + 6*z(o). Let b be i(-8). Put -0.2, b, -9 in descending order.\nAnswer: b, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/(3\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -3 - 42) + (-22 - -38) - 42\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 3*o**2\/2 - 2*o + 37. Let s be (0 - 1) + (2 - -2). Give r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 11 + 3 = -2*y, 0 = 5*y - 3*m + 16. Let q = 0 - y. Which is bigger: 3\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.2 - -0.2. Which is the second biggest value? (a) 5 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(5) - sqrt(45)*5) + (sqrt(5) - ((sqrt(5) - sqrt(20))*-3 + sqrt(5)))))**2 + 2.\nAnswer: 5782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 18. Solve v*t - 12 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799866575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 1. Let m be 2950\/(-15)*(-30)\/(-28). Let r = m - -211. Which is smaller: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 40 - 30 = 0. Suppose 0 = -l*y + 3*v - 0 + 53, 0 = -5*v - 15. Calculate the highest common divisor of y and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/56*(-42150)\/500 + -30\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l - 28*l + 7*l + 9*l + 11*l - 119 to the form r*l + g and give g.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 79 - c + 0 + 1 + 0*c to s + b*c and give s.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 7*t + 7. Let u be r(8). Let c = u + 4. Suppose -8*s + 70 = -c*s. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7843163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120 - -58?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 10 = -v, 3*v = -4*y - 0*v + 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 1. Let n(l) = 0 + 1 + 2 + 2*l**2. Let a(m) = 4*n(m) - 12*r(m). Let q(o) = 0*o + 2597 + 0*o - 2*o - 2597. Calculate q(a(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13607545141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + 0 - (29 + -25 + 17 + -5).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*w - 117 - 150*w - 118*w + 117 - 143*w - 149*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -60*c**2 + 428*c + 27. Give z(7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -52*d - 36. Does 42 divide y(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1341240 by 335310.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -5\/54, -3?\nAnswer: -5\/54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = -2, -4*j + 5*g = -53. Solve -l + j = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 5*o**2 - 8*o + 3. Let h = -35 - -38. Suppose -y + 3 = k, 0 = 2*y + h*k - 8 - 1. Suppose y = -2*l - l + 18. Give m(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (476 - 476 - 153*t)*(-1 + 5 - 2)*(3 - 1 + 0)*(-4 + 1 + 2) + 2*t + 0*t - 3*t + 4*t - 3*t + 0*t + (-3 + 3 + 2)*(-t + t - 2*t) - 1 + 1 - t.\nAnswer: 607*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, 5, 0.02, 86?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1045 - 105. Suppose -3*r - u = -h, -4*u + 2 = -14. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 223560 = 31*s. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27655004411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170743722*m**2 + 13220341*m - 3.\nAnswer: 341487444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - -2*sqrt(143)*-5)\/sqrt(11) - (-4*(sqrt(208) + 1))**2.\nAnswer: -3344 - 137*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/11 - 250*k**2\/11 + 412*k + 159120\/11 = 0 for k.\nAnswer: -17, 52, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/18 and 173\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*v - 480. Let h be 8\/((-4)\/(-1)) + v. Suppose -2*i + z - 6*z = -133, 3*i = z + h. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 28*y + 48. Let b(f) = 4*f**2 - 27*f + 48. Let v(d) = 4*b(d) - 5*x(d). Find u, given that v(u) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 4*s**2 - 5*s - 4. Let w be v(5). Let n = 11 + -39. Let z be (-16)\/4*2\/n. Which is the second biggest value? (a) z (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - -92.07. Let y = r + -51. Let g = y - 46. Which is smaller: 1\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136296791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6623 = 3*h, 3*h + 4*t - 6625 = 9*t. Suppose h = -550*q + 557*q. What are the prime factors of q?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 1059068098?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3620 by 1810.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -33. Let h = 104.2 - 142.2. Let t = i + h. What is the biggest value in t, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + 8 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*q - 287 = 1136 - 43 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/36 and (-355)\/(-90) + -2 + 0?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 86*f**2 - 14 + 31 - 13 + f - 62 wrt f.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/8 + 46*j**2 + 4739*j\/2 + 4554 = 0.\nAnswer: -44, -2, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132341 (base 5) to base 15.\nAnswer: -18b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -4, 60.\nAnswer: -10, -4, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9246089 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**3 - 3*p**2 + 6*p - 22. Suppose 3*c = -12, 3*c = 2*l - c - 32. Does 10 divide a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8783.524ml in litres?\nAnswer: 8.783524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 0*q**5 + 1 + 0*q**3 + 0*q + 0*q**4 - 1\/2*q**6 - 3\/2*q**2. What is the second derivative of l(i) wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 162, 4, -2\/3369.\nAnswer: -2\/3369, 0.3, 4, 162","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 726*g**2 + 44*g + 6. Is r(-3) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2142693 by 3.\nAnswer: 714231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61084.84499 plus -652?\nAnswer: 60432.84499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/(85\/30 - 3). Suppose 10 = -2*o - w*c + c, -2*o - 5*c = 25. Solve o = -4*b + 55 - 63 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1280 and 1\/6.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/54929021 and 40\/3.\nAnswer: 164787063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4046701699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3\/4 - 31*l**2\/4 - 15*l\/2 = 0?\nAnswer: -30, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(6\/(-20)*26\/39). Suppose 3*j + 5*u - 915 = -2*j, -3*j + 581 = -b*u. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/12)\/y**10*(y**6\/y*y)\/y**5 assuming y is positive.\nAnswer: y**(-107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89240 + -89239.8. Let x = -1.3 + 0.3. Let u = x - -1. Which is the nearest to -2? (a) u (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(231)\/sqrt(7))\/sqrt(3))**2 + sqrt(704) + 1.\nAnswer: 8*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338 = -33*k - 3*c - 156 + 293, 4*k + 4*c = -28 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -327 - -3799. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118731 + -118731.5. Let k = -4 + 1. Let y = k + 4. Which is the smallest value? (a) 1\/2 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(18\/((-540)\/(-105)))*1\/(-20)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -133171 divided by -7009?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 0.22156.\nAnswer: -2.77844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003900341 rounded to 5 dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1204)\/2107 - (-582)\/14?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7688 - 7691. Which is the fourth biggest value? (a) t (b) 3 (c) 17 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*g**4 - 3\/5*g**3 - 9\/5*g**2 - 6\/5 + 3*g.\nAnswer: 3*(g - 1)**3*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ralrrrajaljjjrjlrlr. Give prob of picking 1 a and 1 j.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 1. Let n = y + 7. Suppose -38 = 2*a - 4*a + 4*t, -n*a + t + 32 = 0. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76365*w**4 - 5*w**2 - 2*w + 782292 wrt w.\nAnswer: 916380*w**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.1. Suppose -4 = -0*x - 2*x, -5*t - 5*x + 10 = 0. Which is the third smallest value? (a) v (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7836, 15374, 22912, 30450, 37988?\nAnswer: 45526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 147, 162, 195, 252, 339?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30811 or 277301\/9?\nAnswer: 30811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/((-56)\/(-32)) - 217. Let o = -1103\/5 - f. What is the smallest value in o, 43, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15518\/11 - 1410. What is the closest to 2\/3 in x, 4, -11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7988 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 301656*y + 603324.\nAnswer: -3*(y - 100554)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 328813242 to the nearest integer?\nAnswer: 18133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4\/11 - 426*w**3\/11 - 15130*w**2\/11 + 426*w\/11 + 15128\/11 = 0.\nAnswer: -31, -1, 1, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13.4002553 - -0.05\nAnswer: 13.4502553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8159*z**3 + 321*z + 2 wrt z.\nAnswer: 48954*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.083 + 0.033. Which is greater: r or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3285 is divided by 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-2))\/2)\/((-2698)\/(-51262)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (520\/(-75) + 7)\/((190\/(-10))\/(-12255))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 3 = 12*g. Is -4\/5 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/((-2)\/3). Let p = -398 + 396. Let m = 32 + -27. Which is the second smallest value? (a) h (b) m (c) -0.04 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*t - 8 + 4 + 5)*(-3*t - 3*t + 2*t) + 79*t**2 - 5*t**2 + 2 - 10*t**2.\nAnswer: 388*t**2 - 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/40876 and -65\/2177576?\nAnswer: 23953336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 296 and 1184.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {k: 1, n: 2, b: 1, p: 2, i: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*x - 2*x + x**2 - x**3 + 2*x + 31 + 4*x**3 to the form a*x**2 + n*x**3 + j + c*x and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -47*o + 2. Let r(m) = -24*m + 1 - 20 + 16 + 4. Calculate -3*k(q) + 5*r(q).\nAnswer: 21*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = d - 2 - 5, -i + 29 = 5*d. Calculate the remainder when (-3 - -1)*(2 - 13) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Let x(q) be the first derivative of 120*q**2 + 845. Calculate x(i(m)).\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 498, 1\/14042?\nAnswer: 1\/14042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 460*w = -467*w + 931*w - 98, -3*z - 24*w + 546 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24502 + 3632?\nAnswer: -20870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2. Let f(n) = -872846*n**2. Calculate u(f(p)).\nAnswer: 1523720279432*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 47*s**2 - 3*s - 2. Let i be z(-1). Let o be ((-12)\/(-7))\/(i\/21 - 2). Calculate the highest common factor of o and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.2, -4, 4, 28\/1915, -2, 2?\nAnswer: 28\/1915","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 l, and 1 f when four letters picked without replacement from llfcv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - -33. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9302903 - 6375441. Let l = -15678198.99939 - r. Let z = l + -145. Round z to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d + 712 = 690 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 178, 1, -4, -1 in descending order.\nAnswer: 178, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by (104\/(-260))\/((-1)\/290)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1580, -6328, -14242, -25322, -39568?\nAnswer: -56980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 49. Which is the closest to -2\/7? (a) 0.5 (b) 2\/7 (c) x (d) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 2. Suppose 4*h + 24 = 44. Sort 2, h, d in descending order.\nAnswer: h, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**2 - 73*t - 188. Give j(11).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 46198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2308 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -184.7 and -4?\nAnswer: 738.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(3*p - 2*p + 0*p + (1 - 1 - 2)*(3 - 3 - p) + 0*p + 3*p - 5*p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*k + k + 29, -k - 19 = 2*i. Let r = -192 + 132. Let n be 376\/(-120) - 8\/r. What is the second smallest value in n, i, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1341*j + 1305*j = 36. Sort 1, j, 2, 3, -8 in descending order.\nAnswer: 3, 2, 1, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f + 64*f - 14664 = 0. What is the highest common divisor of 57 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -46*w + 278. Let t be g(6). Solve 2*c = -t - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -533, -1206, -2149?\nAnswer: -3362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 493 + -699. Let t = -173.6 - f. Let i = t - 32. Which is the second biggest value? (a) i (b) -1\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 11*v**2 + 10*v - 48. Give b(10).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 11*c - 14. Calculate q(12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/4))**(-2\/15))**(-1\/3) assuming q is positive.\nAnswer: q**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r + 121*r - 1061 = -1328 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -101102 (base 4) to base 7\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4167 - 4167. Let t = 0.416 + -0.615. Let l = t + -0.011. What is the nearest to y in l, -5, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*w**4 + 6*w**2 + 7*w - 67 wrt w.\nAnswer: 756*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3569 - 2514. What is the greatest common divisor of s and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 8*w + 7. Let y(m) = 3*m**2 - 23*m + 20. Let x(z) = -17*i(z) + 6*y(z). Let t be x(1). Put -13, -2, t in increasing order.\nAnswer: -13, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 5*k**2 + 3*k**2 - 3*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4119 is divided by 187.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -101689440 divided by -134688?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 188.3782 grams?\nAnswer: 188378.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/190?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 4. Let u be t(9). Let s be (2 - 3) + 10\/u. What is the common denominator of 61\/6 and 426\/(-24) - (s + -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 10, 242?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5649 and 82314?\nAnswer: 576198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2696))\/(12581\/(-100648))\nAnswer: -2\/337","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*((2*sqrt(99) - sqrt(99)) + sqrt(99)))\/(((2*sqrt(36))\/sqrt(4) + sqrt(9) - sqrt(9)) + sqrt(9)) - (3*sqrt(44) - sqrt(132)\/(-1*sqrt(12))))*3)**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(3 - 7) + 52\/8?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1065)\/30*2*6\/(-6). Which is the nearest to r? (a) -4 (b) 2\/9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**7\/105 - z**6\/15 + z**5\/6 - z**4\/6 + 8*z**2 + 17. Let i(o) be the second derivative of d(o). Let i(s) = 0. What is s?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 - 2*m**2)*(-1 - 2 + 9) + 0 - 3 - 2*m**2 + 5.\nAnswer: -14*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2 - 5 + 2. Let z(g) = g + 68. Let n(b) = 2*b + 98. Let i(k) = -2*n(k) + 3*z(k). Calculate 18*c(f) + 2*i(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -29, -42, -23, 28, 111, 226?\n\"Answer: 16*y**2 - 61*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(-1)*c*c*c)))\/c)\/c**(-5)*(c*c\/(c\/((c*c*c\/(c\/((c\/c**(-1))\/c))*c)\/c)))**13 assuming c is positive.\nAnswer: c**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -4.\nAnswer: -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 m, and 1 n when four letters picked without replacement from {b: 2, q: 2, n: 4, h: 2, m: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 70. Calculate the remainder when n is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5 - 2949*i**4 - 2*i**3 + 2242*i**2 wrt i.\nAnswer: -120*i**2 - 70776*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12081 + 28686. What is the highest common factor of i and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f**3 - 683*f**2 + 7058*f + 7755 = 0. What is f?\nAnswer: -1, 235\/14, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 16*f - 43. Let a(n) = -9*n + 21. Calculate -5*a(o) - 3*l(o).\nAnswer: -3*o + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/16 and (-1164)\/(-792) + (6\/(-2) - -3).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aryzyvza. What is prob of picking 1 r and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgt when three letters picked without replacement from {t: 4, g: 1, q: 9}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 10 - (5 - -10 - -34)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -478634, -478765, -478896?\n\"Answer: -131*a - 478503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 148786584*f**2.\nAnswer: -3*f**2*(f - 49595528)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-16)*(-1 - 547). Let g = v + -690. Does 13 divide g\/(-12) - (-3)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*m + 3 = 0, -2*m - 2 = -j + 2. Suppose 2*w + j = 2*o, -4*o + 24 = 8. List the prime factors of (3*w)\/(-4 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/315 and 38\/315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-139)\/139)\/((-5)\/((-30)\/1))*66\/4\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/544 and -61\/32?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -626, -3, 1, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457070939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 275539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7457175 millilitres in litres?\nAnswer: 0.0007457175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.843 rounded to the nearest integer?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 265*g - 2 + 3.\nAnswer: 265*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/3, 1\/4, -0.1 in increasing order.\nAnswer: -0.1, 1\/4, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - 11 = -2*t, -2*t - 24 = 4*j. Let m(p) = p**2 + 7*p + 4. Let h be m(j). Calculate the greatest common factor of h and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 3*v - 3*v + (-2 + 2 + 1)*(-3*v + v + 0*v) + 6*v - 2*v - 2*v + 5*v + 2*v - 5*v - 1611 - 8*v + 4*v + 358 + 2867.\nAnswer: -v + 1614","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 25*x**2 - 9*x + 7. Is i(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1285 or -1286?\nAnswer: -1286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-75))\/((-8)\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 = 35. Suppose 0 = 4*c - 94 - 62. Calculate the greatest common divisor of c and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -48168676.7 to the nearest one thousand.\nAnswer: -48169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6 = 4*r, 2*x + 9 = -3*r + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20981 - 20981 - 207*w**2.\nAnswer: -207*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14167991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -15\/8, 0.05.\nAnswer: -5, -15\/8, -0.3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/5)*w*w\/w**(1\/6))\/(w**(-26)\/(w**(2\/81)*w)) assuming w is positive.\nAnswer: w**(22889\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 13692*p - 564 - 2*p**2 + p**2 - 13690*p - p**2 in the form n*p + f + g*p**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 86. Let r be (-3832)\/(-10) - b\/35. Suppose 19*l = 15*l + r. Calculate the highest common factor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmh when three letters picked without replacement from {s: 2, h: 2, b: 3, w: 2, m: 2, l: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-390)*5*5\/15)\/((-42)\/(-4))\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/3 - 942*p**3 + 464458*p**2\/3 + 954422*p + 1444404 = 0.\nAnswer: -3, 197, 1222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 = 4*r + l, 5*r - 2*l - 277 = 2*l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ccccccccccccvccccc.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2300)\/(-60))\/(100\/(-60))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) 0.04 (c) 7\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 10565436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662, 670, 668, 650, 610, 542, 440?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -9 + -6 + -4 + -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.08163145 + -11.082. What is p rounded to 6 dps?\nAnswer: -0.000369","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1550, 5, 0, -34, -4, 4 in descending order.\nAnswer: 5, 4, 0, -4, -34, -1550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**2 + 12*a - 2. Determine k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Suppose 0*n + n = p. Let g be 1*(4 + -3 + n). Which is the third smallest value? (a) g (b) -8 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 2\/21, 3, -4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -233 (b) -2\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 1505.\nAnswer: -36\/1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 7. Let c(u) be the third derivative of u**4\/24 + 4*u**3\/3 + 4*u**2. Let p(s) = -6*c(s) - 7*h(s). Let b be 3 + (0 + 2 - 4). What is p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.8 - -4.7. What is the second smallest value in i, -3\/5, -2\/7, 1\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.06 (b) 1130 (c) 1\/2 (d) 4 (e) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2212120122 (base 3) to base 2\nAnswer: -1101110011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(1*(-6 - 5)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 20*d + 22. Give l(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-5)*(-649050)\/545202?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3 - 8. Let r(x) = -3 + 3*x - 12 + 14. What is r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f - 22. Let j(s) = 18*s + 1. Determine l(j(p)).\nAnswer: 72*p - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 3)*(89 + 108 - 235)*(-3 - 5*s + 3)*(1 - 2*s**3 - 1) as y*s + o*s**4 + w*s**2 + n + p*s**3 and give o.\nAnswer: 1900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, i: 3}. What is prob of sequence iz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17037, 67115, 150569, 267399?\n\"Answer: 16688*w**2 + 14*w + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51849185*y**4 - 22567846 wrt y?\nAnswer: -207396740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 - 3.3. Which is bigger: y or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-665)*(52\/12 + -4).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, j: 1, s: 4}. Give prob of sequence sssa.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66023, -132052, -198081, -264110, -330139?\nAnswer: -396168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 12:32 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(9\/2)\/((l**22*l)\/l) assuming l is positive.\nAnswer: l**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11921696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5284*v**4 + 73972*v**3 - 258860*v**2 - 196*v.\nAnswer: -4*v*(v - 7)**2*(1321*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 6*u**2 - 2*u - 28. Calculate the remainder when (16 - 1)*(7 + -4) is divided by j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m**0*(m**(1\/2))**0)\/((m*m**(-3)\/m*m**(-1)*m*m*m)\/(m**(-1)\/m*m)**(1\/2)) assuming m is positive.\nAnswer: m**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*b + 116. Suppose -b + 47 = r. Suppose r*n = 16*n + 56. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-9)\/(-108))\/(15\/(-12))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 225\/105 - 3 - (-4)\/7. Which is the second biggest value? (a) -1 (b) 3\/4 (c) t (d) -0.343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136 in -0.5, 0.3, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -16 - 24. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*10\/4*((-104)\/(-40))\/13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8 = 4*j, -j + f = 4*f + 2. Suppose -3*h = 4*a - h + 10, -a = -4*h - 11. Let i be (-156)\/144 - a\/3. Sort -3, i, j in decreasing order.\nAnswer: i, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-175938*a**4 + 351882*a**4 - 10 - 175918*a**4 + 3*a)*(0 + 1 - 3).\nAnswer: -52*a**4 - 6*a + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 + 196 - (-22 + (0 - 6 - -6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d + -c02?\nAnswer: -b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/31? (a) -2\/9 (b) -18 (c) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 60 = 615*t - 620*t, 5*t = 4*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3081, -11\/4619, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10830512 and 2478.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*p = -110*p - 35. Let t(k) = k**2 - 6*k + 2. Calculate the remainder when (-1 + -2)*(-3 + -2) is divided by t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in 0, 0.18, 1\/7, -233, 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 813.2999 meters?\nAnswer: 81329.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98374770.\nAnswer: 2, 3, 5, 13, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 66000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 5*i**2 - 3*i + 8. Let n be w(-6). Let p be n\/5 - 0\/(-3). Is (-3 + 1455\/(-6))*p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-1)*6\/(-6). Suppose 0 = -5*p + 2*l - 3*l - 58, 5*l + q = 0. What is the units digit of 8*4\/(-8)*p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -68*f - 3207. Let d be l(-47). Let b be 1\/2 + (-28)\/8. Suppose -10 = j - 6*j. Put j, b, d in decreasing order.\nAnswer: j, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*v + 4*w = -6, 2*w = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 0, -1 in increasing order.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 - 3*y. Suppose -152*h + 282 = -293*h. Calculate k(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001811 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, p: 5}. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l - 4*d + 44, 2*l - 4*d = 4. Let m be 766\/l + 7\/28. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 115*c - 1 + 0 + 6 - 186*c + 79*c. Let j(l) = 17*l + 9. Determine -7*i(z) + 4*j(z).\nAnswer: 12*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -169752 less than -774.3624?\nAnswer: 168977.6376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 8*x**2 - 8*x - 8. Suppose 55 = 5*p + 4*q, -2*p - 2*q = -p - 17. Give d(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/6))\/(d*d**(-3\/10)))\/((d*d\/d**1)\/d)**29 assuming d is positive.\nAnswer: d**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -10*h**5 + 12955*h**4 - 6475*h**3 = 0.\nAnswer: 0, 1\/2, 1295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-3)*(-187017)\/(-85306)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 - (44459\/(-3204) - -5). Let f = g + -4\/267. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 23 = -3*o. Suppose -59 = 3*f - 3*i - 20, -f - o*i = 4. What are the prime factors of ((-4)\/3)\/(f\/150)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 15 - 587323*r - 5 + 587290*r.\nAnswer: -33*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)\/(w*w*w*w**(1\/6)))\/((w*w**(-4))\/w*w**4*w))\/(w*(w**2*w*w*w)\/w*(w\/((w**(-2\/19)*w)\/w))\/w*w)**(-36) assuming w is positive.\nAnswer: w**(122677\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 17. Determine w(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/40*5\/(-15)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/2*o**2 + 1\/2*o - 3 + 23\/2*o**3 + 5\/2*o**4.\nAnswer: (o + 1)**2*(o + 3)*(5*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271423*a**3 - 5162*a**2 - 4*a - 3 wrt a.\nAnswer: 1628538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548.2353 tonnes to nanograms.\nAnswer: 548235300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 43 = 6*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822940660?\nAnswer: 2, 5, 2089, 19697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + d**2 + d**2)*(3 + 5 + 5)*(3*d**2 - 2*d**2 - 4*d**2) - 2*d**4 - 2*d**4 + 7*d**4.\nAnswer: -75*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4\/4 - 36*i. Let m(a) = -3*a**2 + 5*a - 5. Let k(w) = 2*w**2 - 3*w + 3. Let p(z) = 5*k(z) + 3*m(z). Determine v(p(s)).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8241\/350 - 769\/25. Calculate the common denominator of g and (61\/2)\/(-1 - 10).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + r - 5)*(-25 - 68 - 108)*(3*r - 7*r + 2*r).\nAnswer: 402*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2047861.\nAnswer: 277, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.2 - 11. Which is the second smallest value? (a) l (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477 - 1891614831\nAnswer: -1891615308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13707\/4691 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 4 - (-5 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43931 and 2364.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 14 = 7. Suppose -346 + 3 = -p*a. Let j = a + -36. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1398 divided by -3.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 0 (b) -4863 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/237*76\/(23940\/(-135)).\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:49 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -676 + 684. Let i(r) = -r**3 + 8*r**2 + r + 1. What is i(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 12, y: 1, c: 5}. Give prob of picking 1 c and 1 g.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/5? (a) 0.2 (b) -0.04 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -108. Suppose 0 = 3*f - 30 - c. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426545951 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(768) + (sqrt(768)*-4 - sqrt(768)))*6)**2.\nAnswer: 99\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 37*h + 30. Let k(n) be the second derivative of 6*n**3 + 15*n**2 - 28*n. Let r(d) = -5*g(d) + 4*k(d). Differentiate r(s) with respect to s.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -2.04. Let n = -1.05 - -0.05. What is the closest to 2\/7 in o, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -806 and 42.64.\nAnswer: -763.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 53. Suppose -2*y = -5*l - 280, -45 - 421 = -n*y - 4*l. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 0 - 7*c + 3 - 3*c - 3*c. Let l be d(2). Let f = l - -40. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -w*q = -107 - 237. Calculate the remainder when 23 is divided by q\/7 + 4\/(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471.50529 rounded to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 757261 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v + 10*v - 485 + 484 + 2*v**2 + 23*v**4 - 27*v + 9*v - 2*v**3 as f*v**4 + m + z*v + i*v**2 + c*v**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4 + 26*o + 2 + 9.\nAnswer: 26*o + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0759 plus 346708?\nAnswer: 346708.0759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 3*c - 3. Let m = 1 - 1. Is m smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698535 - 4286117 = -379*x + 5212343. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194846 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 6\/((-30)\/(-25)). Suppose 5*y - 121 + 86 = h. Calculate the highest common divisor of y and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -36975*v**2 - 73972*v - 36. What is q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1643 + 9859\/6. Determine s, given that -u*s**2 + 7\/6*s + 0 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/24 and -34\/1611.\nAnswer: 12888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, 5, -8.\nAnswer: -8, -2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.721 take away -0.07?\nAnswer: 69.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 958, 906, 854, 802?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/60 - 20\/50. What is the closest to -0.1 in a, -1\/4, 2\/257, -3?\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15079600*c**5 - 8*c**3*m**3 + c**2 + 2836*c*m**3 - 38*c - 7*m**3 wrt c.\nAnswer: -904776000*c**2 - 48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4*j - 5. Let q be d(5). Suppose 3*s = 3*r + 6, q = 4*s - 6*r + 3*r - 7. What is the greatest common divisor of s and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664 = -54*w - 112*w. Sort 4, 0, 5\/6, -1, w in ascending order.\nAnswer: w, -1, 0, 5\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*q + 55*q - 627972. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190753, 763055, 1716903, 3052297, 4769237, 6867723, 9347755?\nAnswer: 12209333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13584 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2012 - 2008. Solve l*x - 27 = 4*h - h, -3*x = 4*h + 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*d*s**4 - 13*d*s**3*z**3 - 7*d*s - 1889*d*z**3 - 3*s**4 - 2*s**2*z wrt s.\nAnswer: 3048*d*s - 78*d*z**3 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + p + 7. Let m be a(8). Let l = -7 - m. Find the common denominator of -123\/10 and 906\/308 - (-12)\/l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*h**2 + 106695*h - 536350.\nAnswer: 5*(h - 5)*(23*h + 21454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6200654.\nAnswer: 2, 3100327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 3*z - z)*(303 + 525 - 264) + 19*z - z + z + 3*z - 2*z + z in the form u + g*z and give g.\nAnswer: 1713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 7 - (3 - (-138)\/(-15)). Let l = -187 + 188. Which is the nearest to -0.1? (a) 2\/5 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.72 - 0.96. Let u = s - -0.19. Let j = u + 0.15. What is the third smallest value in 5, j, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**6\/30 + g**5\/4 - g**4\/4 - 3*g**3\/2 - 2*g + 34. Solve i(t) = 0 for t.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10490 is divided by 319.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*c + 4*c + 10, 0 = -r - c + 2. Suppose -11 = r*x - 203. What is the greatest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/10)\/(2\/(-5)). Suppose 2*q + 8 = -y*q. Let w = 2.96 + 0.04. Which is the third biggest value? (a) q (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58570 to the nearest 1000.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 3*l + 17 - 41, -11 = 21*c + 4*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/(-1482)*-19*(-324)\/20*2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2108396)\/10*7\/70*-25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 4*l**2 - 4*l. Calculate the remainder when k(-5) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1478 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1572.115608s to weeks.\nAnswer: 0.0025993975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*k - 20 = 301*k, -5*k - 14 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/15 + 6*p\/5 + 12.\nAnswer: -2*(p - 15)*(p + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*n - 40*n + 6582. Calculate the remainder when n is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 4*u + 6. Let n be r(4). Let k(j) = -j**3 + 37*j**2 - 39*j + 82. Let t be k(36). Is n greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 15*l**2 - 47*l - 22. What is o(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 955 + 326 + 318 + 311.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/29))**28)**38 assuming y is positive.\nAnswer: y**(1064\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x + 3 + 3*x**4 + 21*x + 18*x**2 - 38*x - 12*x**3.\nAnswer: 3*(x - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 - 96545560*y + 582565322232100 = 0. What is y?\nAnswer: 12068195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -724*g*k**2 + g*k + 162654894*g + 61366*k**2 wrt k?\nAnswer: -1448*g*k + g + 122732*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6398 + 42602 = 0. Suppose -4*r - r - a = 0. What is r rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(175) - sqrt(7)))**2*3.\nAnswer: -120*sqrt(7) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -104, -166, -244, -338, -448, -574?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppspcwhphpnphpsppnpc. What is prob of sequence snn?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -132441 (base 7) to base 8\nAnswer: -60531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1344 and -69\/224?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -27*s**2 + s. Let h(k) = -4190*k - 27*k**2 + 2164*k + 2027*k. Determine 4*g(v) - 3*h(v).\nAnswer: -27*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 3 - 3)*(0*v**2 - 3*v**2 - v**2) - 2*v + 2*v**3 + 2*v + (-4 + 4 - 2*v)*(-3*v**2 + 3*v**2 - 2*v**2).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - h**2 + 10*h + 3*h**2)*(7 + 3 + 7 + (-3 + 3 - 2)*(1 + 1 - 3)) as r*h**2 + t*h + m and give t.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-118)\/(-236))\/(2\/4*-1). Let x be u\/78 - (-8 - -4)\/24. Determine o, given that x*o**4 + 10\/13*o - 2\/13*o**3 - 4\/13 - 6\/13*o**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.09, 10, 8\/3, -1\/8, -0.5, -2\/15?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-50) - 21\/15. Which is bigger: w or 4\/35?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/11 - 334*h\/11 + 672\/11 = 0.\nAnswer: -336, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + 18*m**2 - 3*m**3 - 18*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.114 - 21.514. Let i = -39.544 - -0.444. Let f = m - i. Round f to zero decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 27.38?\nAnswer: -2.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 29 = -9. Suppose 0 = 5*l - 3*v + 5, -2*l + h = -0*l + 3*v. Suppose l*b - 4*b - 3*g + 145 = 0, 2*g - 225 = -3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 27. Let o(c) = -1 + g*c - 4 + 13 + 0*c. Give o(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206910 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*i - 6, -9 = -2*i + w + 2. Suppose i*y = 2 + 3. Let o be y\/3*96\/8. Sort 3, -3, o.\nAnswer: -3, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 243104719 and 9042.\nAnswer: 1458628314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 1710 = 10*t - 1731, 0 = 4*n + 2*t + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -4 (b) -2\/157 (c) -6848\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u**2 + 48*u - 16. Let k be f(-6). Calculate the highest common divisor of k and 896.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.93 + -18. Let g = y - -0.17. Let v = 0.3 - 0. Which is the third smallest value? (a) g (b) v (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/15)\/((-12)\/15))\/((-5)\/(-10))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgghm. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 2*m + 222, -205 - 537 = 2*x + 12*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**5\/20 + h**4\/4 - h**3\/2 + 5*h**2\/2 - h. Let m = -7 - -10. Suppose 2*i - m = 2*c + 3, -1 = c - 3*i. Determine t(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 5931626?\nAnswer: 17794878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. Suppose t - f*y = y + 3, 5*y = 0. Let k = 20 - 15. Solve -n + j + t = 0, -n - k*j = -4*n + 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*w + 18 = 2*z, 4 = w. What is the second derivative of -4*b**2 - z*b**5 + 3*b + 4*b**2 + 8*b**5 wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v - 10. Let k be b(-3). Let a(t) = 4 + 7*t + 2*t**2 - k*t**2 + 4*t**2 + 3. Calculate a(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 27*l**2 - 17*l - 210. What is o(26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -158984179\nAnswer: 476952537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/5))**26 assuming l is positive.\nAnswer: l**(208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h + 43. Let l be d(-14). Let y = l - 205. Solve 14 = -4*z + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572573804?\nAnswer: 2, 3, 443, 295819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 708981 divided by -39.\nAnswer: -18179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 22. Let d(a) = 9*a + 110. Let m(r) = -2*d(r) - 11*h(r). Let v be m(-4). Let k be (4\/3)\/((-2)\/(-3)). Solve 0 = -k*y + v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 - 117. Calculate the least common multiple of s and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190728 divided by -6?\nAnswer: 31788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -34*m - 5. Let l(s) = 459*s + 68. Let v(q) = 68*i(q) + 5*l(q). Let p(a) = -2*a. What is v(p(x))?\nAnswer: 34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -297 - -286. Let p(q) = -2*q + 2. Let c be p(1). Sort c, r, -1, -4.\nAnswer: r, -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2425 from -4.\nAnswer: -2429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*j - a - 20, -3*a = -4*j + 12. Solve -10*i + 5*i + 5 = j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 + 99*n**2 - 1179*n + 6877. Let b(m) = -22*m**3 + 712*m**2 - 8255*m + 48140. Let h(r) = 2*b(r) - 15*d(r). Factor h(y).\nAnswer: (y - 25)**2*(y - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -380488\nAnswer: 11\/380488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 28*s + 505. Determine u(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1422 + 552 = -15*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 152601?\nAnswer: 305202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10349 from 254.34.\nAnswer: -10094.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 42 = 4*m, -4*j - 2*m + 119 = -3*m. Calculate the highest common divisor of j and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 14*l**3 + 2*l**2 + 4*l**2 - 21*l**3 - 18*l**2.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14536000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 2*d + 4. Let t(g) = -g - 1. Let c be t(2). Let u be h(c). Calculate the common denominator of ((-5)\/(-15))\/(u\/15) and 89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1095, 1098, 1101, 1104, 1107?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q + 10, 3*q + 2 = -c. Suppose 0 = c*y - 3*y + 1. Find the common denominator of 4 + 69\/6 + y and 23\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/5 + 65864*v\/5 - 65866\/5 = 0. What is v?\nAnswer: -32933, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*f**4 - 16*f**3 - f**2 - 74*f + 760250 with respect to f.\nAnswer: 88*f**3 - 48*f**2 - 2*f - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2064*c - 91209 + 2457 = 0 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -120 + 1?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -473183616*n**2*w**2 + 2*n*w**2 - 118747*n - 2*w**2 + 2*w + 26 wrt n?\nAnswer: -946367232*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18\/14 + -1 + (-64)\/224\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/213457797 and -89\/25305.\nAnswer: 1067288985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 3428474063 and 1479.\nAnswer: 3428475542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*p + 129 - 127, 3*q = 3*p + 3. Let z(a) = -a**2 + 3*a - 3. Let s be z(2). Is q*-2246*s\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 10:11 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 887, 1330, 1773, 2216?\nAnswer: 2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2 - 1401*b**2 + 1403*b**2 - 2 - 6. Let g(m) = -2*m**2 + 5. Determine -6*g(u) - 5*s(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o + 1358 = 12*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 447018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7724*i - 1158603. What is s(-150)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5546829 by 40.\nAnswer: -5546829\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 10*u + 15*u = 17, -8 = f - 4*u. Put -20, 0, 6, f in decreasing order.\nAnswer: 6, 0, f, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 47 + 3. Let d(g) = 12*g**2 + g + 1. Calculate the lowest common multiple of d(-1) and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.3 (c) -4 (d) 3 (e) 1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*j + 299*j - 3660 = 0 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 5}. What is prob of sequence fp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 520*w**4 - w**3 + 41*w**2 - 4*w - 45209 wrt w?\nAnswer: 6240*w**2 - 6*w + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23485*-0.2\nAnswer: -4697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -546646, -546644, -546640, -546634, -546626, -546616?\n\"Answer: n**2 - n - 546646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/5 (b) -4\/43 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = 0, 2*y = 5*l + 32. Suppose -y = -4*o + 5*q, -q + 8 = 2*o - 6*q. Find the first derivative of o - 2*k - 1 - 1 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/11 + 4\/(-22). What is the third derivative of -o*d**2 - 12*d**3 + 9*d**3 - d**2 wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3247 is divided by 1607.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/((g\/(g**(1\/4)*g))\/g*g*g))\/g*g**(-5\/6)*g)\/(g**(15\/7)\/g**(-25)) assuming g is positive.\nAnswer: g**(-2245\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 8, 1, -4, -2 in decreasing order.\nAnswer: 8, 1, -2, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5913624, 5913626, 5913628, 5913630, 5913632?\n\"Answer: 2*r + 5913622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 12, -4, -3\/350 in increasing order.\nAnswer: -4, -0.2, -3\/350, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5176 - 3703. What is the highest common factor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 99163550 and -6.\nAnswer: 99163544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c + 4. Let z(b) = -8*b + 5. Calculate -5*h(w) + 4*z(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4 + 16. Suppose 14 = 4*v + u. Suppose -c + 6 = -2*a - 0*a, -4*c = -v*a - 18. Solve f - c = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*o + 144 = 313*o. Solve o*v = 6*v + 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157 by -12806.\nAnswer: 157\/12806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -6*j + 17*j. Suppose -4*s + j*h - 6 = -128, 185 = 5*s + 4*h. Calculate the remainder when 98 is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 70*k - 10 + 28)*(2*k - 5*k + 0*k).\nAnswer: 210*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -20*u**4 - 10*u**2 - 5*u - 122. Let i(a) = 19*a**4 + 9*a**2 + 4*a + 121. Let c(v) = -5*i(v) - 4*z(v). Differentiate c(o) with respect to o.\nAnswer: -60*o**3 - 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34202, 32151, 30100?\n\"Answer: -2051*y + 36253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y = -50*y. Solve -3 = -3*m - y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2128979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-30))\/((-4)\/(-18)). Suppose 4*k - a*l - 11 - 20 = 0, -2*k = l - 13. Let v be 3 + k\/((-28)\/(-8)) + -6. Is -1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110111 (base 2) in base 5?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p - 1. Let n be (1 - 3)*(-14)\/(-8)*2. Let u(t) be the first derivative of 7 - 1\/3*t**3 + 1\/2*t**2 + t. Determine n*b(k) - 6*u(k).\nAnswer: -k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 22 = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(1\/8)*r*r*r\/(r*(r\/(r**(-5)*r))\/r*r)*r*(r\/r**(2\/19))\/r*r**6*r**(-2\/17)*r*r**(-2\/3)\/(r\/r**(2\/17)) assuming r is positive.\nAnswer: r**(1529\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**4\/4 + 127*z**3\/3 - 221*z + 245. Differentiate j(f) with respect to f.\nAnswer: 3*f**2 + 254*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102304818 divided by -198?\nAnswer: 516691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 4, 13, -4.\nAnswer: -4, 0.8, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5774632 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 402 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 2367621.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 10 = 2*d. Let n(w) = w**2 - 12*w + 15. Let v = -8 - -19. Let o be n(v). Solve -s + d = -o*m, 10 = -2*m - 0*m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1050.7 - -1183. Let k = h + -126. Let q = k + -6. Sort 1\/11, -4, q.\nAnswer: -4, 1\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2 + 2)*(2 + 0 + 3)*(2 - 1 + 1)*(238 + 230 + 532).\nAnswer: 20000*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.13 (b) 3\/5 (c) -0.3 (d) -9\/17 (e) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*s + 35*s + 950 + 746 = 0. Suppose d = -4*w + w + 32, -2*d + 4*w = -64. What is the greatest common factor of d and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 457*t - 503. Let j(h) = -26*h + 1. Let s(c) = b(c) - 4*j(c). What is the derivative of s(z) wrt z?\nAnswer: 561","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 32468555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrx when three letters picked without replacement from rxrxxxxrxxxxrrxrxx.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + 11*w**3 + 8*w**3 - 2 - 24*w**3 + w**4 + 7*w**3 to u*w**4 + d*w**3 + o*w + p*w**2 + y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a - 13733. Let n(v) = 46*v + 54933. Calculate 25*i(g) + 6*n(g).\nAnswer: g - 13727","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.1. Suppose 0*y = y - 10. Let q = y + -32\/3. Which is the second biggest value? (a) 2 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 471, 863, 1243, 1605, 1943?\n\"Answer: -i**3 + 399*i + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(4 - 1) + -2. Let a be 1*-3 - (-9)\/((-18)\/4). Sort 4, a, j in increasing order.\nAnswer: a, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 68. Let l(h) be the third derivative of 0 - 1\/4*h**5 + 1\/8*h**4 + h**3 + 1\/20*h**6 + 0*h - 3*h**s. Factor l(b).\nAnswer: 3*(b - 2)*(b - 1)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-36)*(-9)\/(-15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.5. Let i = -130 - -135. Suppose -n + 18 = i*n. Sort 1, n, p in descending order.\nAnswer: n, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1856 (b) 0 (c) -0.5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 13*u**2 + 93*u - 15. Let z(c) = 11*c**2 + 78*c - 15. Let y(n) = 5*v(n) - 6*z(n). What is y(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - 12\/20*5. Let x(g) = 9*g**2 - 4*g + 2. What are the prime factors of x(u)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68576119 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 less than 1376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 11194242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, q: 5, b: 2}. What is prob of picking 1 b, 1 n, and 2 q?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -113665*g + 6223. Let y(i) = -256*i + 14. What is 6*k(o) - 2667*y(o)?\nAnswer: 762*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -1 - 23. What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35983 is divided by 208?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - (0 + 24)) + (-6 - 1) + 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*1*4\/(-6). Let f(j) = -2*j + j**2 + 2 + 7 - 5 - 1. Calculate f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 25. Let y be (w\/(-6) + -1)*(-5 - 1). Suppose y*d + 2 = 8. Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*f**2 + 1 - 28*f**2 - 31*f**2 - 32*f**2 - 13*f as u + y*f**2 + m*f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -237 + 133*b + 142*b + 141*b - 419*b + 1521 in the form s*b + z and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 39 = 0. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*-1*(-1 - -3). Let l = x - 5. Let k be 0\/1 - 3\/l. Solve k*s = -r - 5, 8*s = -5*r + 4*s - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5093*m**3 + 23596*m**3 - 477*m**3 to the form q*m**2 + v*m**3 + t + y*m and give v.\nAnswer: 18026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -600 in -3\/7, -0.1, 0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50864998.\nAnswer: 2, 47, 179, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1096 and -10.51.\nAnswer: 11518.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6 + 14 - 33*m - 3 + 648*m**2 - 1. Is s(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5 - 93*x**4 - 9*x**3 + 285*x**2 - 186*x = 0. Calculate x.\nAnswer: -2, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 534 and 32307?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -172, -3, -5 in descending order.\nAnswer: 28, -3, -5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a52 (base 12) to base 6.\nAnswer: -354542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(1980) + 2*sqrt(1980) + (sqrt(220)*-2)\/sqrt(4))\/(-4*sqrt(25)\/sqrt(5)*-2).\nAnswer: 17*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -354.\nAnswer: -3\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 12*h + 11. Let l be p(5). Let d(o) = o**2 + 6*o**3 + 0*o**2 - 4*o**3 - 3*o**3 + o + l. Calculate d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 43 = -119. Let j = 19 - q. Which is bigger: j or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -2 - 2 - (9 - 8) - -15.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11. Suppose -h - h + 68 = w. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/25 and -17\/61.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - (-7)\/92. Let t = r - 41\/161. Let a be 12\/50*60\/(-36). What is the closest to a in t, 1\/6, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1)*(-18)\/(-54). Let g = 5 - 8. Put -5, g, b in decreasing order.\nAnswer: b, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21\/45250 + -2330249\/271500. Let d be ((-1)\/(14\/(-1754)))\/(-1). Let t = d - -27157\/210. Find the common denominator of t and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43, 62, 89, 124, 167, 218, 277?\n\"Answer: 4*v**2 + 7*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.253 + -0.047. Suppose 138*y = 135*y + 15. Let o = 0.01 - 5.01. Which is the closest to 2? (a) o (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 + 183. Let j = g + -33. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 4:15 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, and 1 y when three letters picked without replacement from yooyoyuuyuyuyyouoy?\nAnswer: 25\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-38 + 21 - -24) + 7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/737 and 1\/87230.\nAnswer: 5844410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 8*x - 8. Let s = 10 - 0. Let r = s - 4. What is t(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -33*v**2 + 1295*v. Let m(w) = -w. Determine c(m(y)).\nAnswer: -33*y**2 - 1295*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 2*b + 1. Let k be i(1). Suppose 38 = -5*t - h, k = -2*t - 5*h + 1 - 30. Let s(j) = j**2 - j - 11. List the prime factors of s(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-34)*z)\/((z**(-5\/3)*z)\/z))**17 assuming z is positive.\nAnswer: z**(-1547\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12217 and 4.\nAnswer: 48868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**18*v*v*v**(-2)*v*v*v*v)\/(v\/((v**(2\/11)*v)\/v*v))**(-1\/79))**25 assuming v is positive.\nAnswer: v**(477900\/869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, 6, -5, 104, -0.095 in decreasing order.\nAnswer: 104, 6, 1, -0.095, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234 + 666 - 216 - 216 - 5*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) - (-6*(3*sqrt(81) - sqrt(81) - sqrt(81)) + sqrt(81)))*3)\/(((sqrt(3) - sqrt(900)\/sqrt(12)) + sqrt(3))*-4))**2.\nAnswer: 243\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-3) - -5) + (-100)\/12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20771 + -20902.01. Let i = g + 131. What is the smallest value in i, 3, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**2. Let v = 12 + -10. Suppose p - 1 = c, -v*p + 3*c + 1 = -0*p. Let g(x) = 8*x**p - 22*x**2 + 12*x**2. Give g(z(b)).\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 278309.53 to the nearest one hundred.\nAnswer: 278300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/19)*((p*p**8)\/p)\/p)**(-1)*(p**1)**(1\/9)\/(p**2\/(p\/p**1)) assuming p is positive.\nAnswer: p**(-1538\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - q**2)*(q**3 + 3*q**2 - 3*q**2) - q**5 + 4*q**5 - 4*q**5 + (q**3 - 2 + 2)*(-3*q**2 - 6*q**2 + 3*q**2).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-8)*-4*((-168)\/(-20) + -10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 140 + 0?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 1 - (-19 - 11 - -21).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**6\/660 - 4*s**5\/165 + 3*s**4\/44 + 2*s**2 + 29*s. Let c(t) be the first derivative of r(t). What is m in c(m) = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2.081, 19, 94, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*o - 31. Let y(v) = 8 + 19*v - 23*v - v**2 + o*v. Give y(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2877 and 1151787?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/18*(-6)\/26*1?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-3636556.\nAnswer: -727311.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -115, -381, -783, -1321, -1995?\nAnswer: -2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -1421.628 and 2.5.\nAnswer: -1419.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 2. Let g be q(0). Find the third derivative of -12*x**g - 608*x + 608*x - 44*x**2 - 43*x**3 wrt x.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 1. Let o = -0.12 + 1.92. Let u = -2 + o. Which is the biggest value? (a) u (b) l (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -5, 13, 47, 103, 187?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x**2 + 0*x - x**2 - x**2 + 0*x**2 + (4*x**2 - 3*x**2 + x**2)*(0 - 5 + 3))*(1 - 2 - 1 + (-85 + 137 + 440)*(3 + 4 - 5)).\nAnswer: -4910*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213 + 21.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 147 = q, -3*m - q - 429 = -2*q. Let a = -16 - -29. What is the remainder when 21\/28*(-5)\/(15\/m) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h)\/(h\/h**(-1\/2))*(h*h*h**0)**34 assuming h is positive.\nAnswer: h**(137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - z**2 - z - 1. Let s be x(2). Let h(k) = 3*k + 28. Let a be h(-11). Sort -3, s, a in decreasing order.\nAnswer: s, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -456*q + 13. Let h(g) = -1364*g + 37. Calculate -6*h(i) + 17*w(i).\nAnswer: 432*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 287796.7 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 1:38 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (sqrt(448) + 2*sqrt(448))**2 + 2 + -1*sqrt(448)*5).\nAnswer: -8062 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1129, -2414, -3709, -5020, -6353, -7714?\nAnswer: -9109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3858*y + 92579. Determine q(24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 961*r - 957*r - 3436. Which is bigger: r or -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17647*j**3 - 132*j**2 - 4589481 wrt j.\nAnswer: -52941*j**2 - 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-148)\/80 + 2). Solve 0*i + l = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*h + 10 = h, h = 3*l - 10. Suppose -3*x + 11 = l. Let -4*c**3 - 3*c**2 + 7*c**4 + 3*c**5 - 4*c**4 + c**x = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -551*g - 5505. Let q be u(-10). Which is the closest to -3? (a) 2 (b) 0.3 (c) -13 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, l: 2, f: 4, s: 7}. Give prob of picking 2 o and 2 f.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + l = 1128, -2818 = 10*u - 15*u - 2*l. Is 47 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 14340.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 5. What is z rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1162 and 49?\nAnswer: 8134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1439 and 12?\nAnswer: 17268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7357344?\nAnswer: 2, 3, 173, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4555661453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -960 (c) 5 (d) -0.5 (e) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o - 11 = -42*o + s, -4*o = 2*s - 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22827, 22931, 23239, 23853, 24875, 26407, 28551, 31409?\n\"Answer: 17*i**3 - 15*i + 22825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 3*i. Let b(j) = -j**3 - 5*j**2 + 7*j. Let q(s) = 3*b(s) - 7*r(s). Let o be q(-1). Let d = o + 5. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15049, -120336, -406107, -962602, -1880061, -3248724, -5158831, -7700622?\nAnswer: -10964337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -114a96 + -12?\nAnswer: -114aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from ycbyccc.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*p**4 + 1884*p**3 + 97366*p**2 + 1239836*p - 8874455 = 0. Calculate p.\nAnswer: -139, -113\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i + 173 = -5*n, -2*n + 10 = 0. Calculate the remainder when i is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2874, 11090, 24812, 44052, 68822, 99134, 135000?\nAnswer: 176432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 32. Let z be l(-10). Is z equal to 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(228)*2 + (sqrt(228) - -3*sqrt(228)*-4))*3)\/((-4*sqrt(96))\/sqrt(8) + -3*sqrt(48)\/sqrt(4)))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 13*q + 32. Calculate the least common multiple of o(4) and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b6b789 - 21?\nAnswer: -b6b7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 8*u + 16. Let n be w(-3). Let a = 128 + -127.9. Put a, n, -31 in descending order.\nAnswer: n, a, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -77 (c) -2\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23581*c**2 + 85*c + 73 wrt c?\nAnswer: 47162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 36, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 + 262. Differentiate 112*p**2 + 3 - y*p**2 - 17 with respect to p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 20 = 4*o. Suppose -4*f - 4 - 1 = 3*y, y + o*f = -15. Let d = -2 + y. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2. Let u(o) = 4*o + 286. Give u(f(h)).\nAnswer: -4*h**2 + 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 6 = -2*h. Suppose h*v + 1 = 16. Let f(u) be the third derivative of -u**5\/60 + u**4\/6 + 5*u**3\/6 - u**2. What is f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/40295 (c) 10 (d) -0.4 (e) 5 (f) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 - 61. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**21)\/r**(-1\/5) assuming r is positive.\nAnswer: r**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.4 and -0.0341848.\nAnswer: -0.11622832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - -1. Calculate the remainder when 45 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p - 3*p**3 + 2 - p**3 - p + 6*p - 2*p**4 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2284.38 + -2236. What is k rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -312 or -12369?\nAnswer: -12369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 45 + (10 - 8) - 12) + 8.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3604236 - -3604457.99944. Let w = o + -222. What is w rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 18842736.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/63 + 4399\/1386. What is the common denominator of o and 71\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 8) in base 10?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13231 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 903191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w + 4. Suppose 264*p - 258*p - 558 = 0. Let c be (-22)\/176 - p\/24. What is r(c)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.2. What is the nearest to d in 2\/3, -5, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Suppose t = -h + 11. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) - sqrt(76)\/(sqrt(16)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -975, -2103, -3657, -5637?\nAnswer: -8043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14864 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151 and 29596.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/11 + 10\/11*q - 6\/11*q**2.\nAnswer: -2*(q - 1)*(3*q - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + 3*(1*sqrt(432)*-2 - (4 + 1 + sqrt(432))**2).\nAnswer: -1367 - 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40635 (base 7) in base 6?\nAnswer: -113540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -39. Let i = p + 29.967. Let z = i + 0.03. Round z to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 4) + 3)*-2*68\/(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 7 + -25 + 3 + 26 + -16?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -84890542, 3 in descending order.\nAnswer: 4, 3, -84890542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 7*y + 1. What is i(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53589 divided by -90.\nAnswer: -17863\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 729.2742 decades in months?\nAnswer: 87512.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1675 + 6224. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -123.2 (b) 3\/4 (c) -7079 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/19? (a) -3 (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 67*z - 1399. Calculate k(37).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-3*(-4)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.92 - -9. Let m = d + 2.92. Let q = m + -3.0001. Round q to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 34399130.\nAnswer: 206394780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 4*j**2 + j + 21. What is the smallest common multiple of f(-4) and 3\/(36\/748)*3?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}