diff --git "a/data/dm_maths/full_data_2/2374_11255.jsonl" "b/data/dm_maths/full_data_2/2374_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2374_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q(u) = -524*u + 123684. Calculate q(237).\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 3*y - 4. Let r be k(-5). Let i = -4 + -1. Is (i\/(-3))\/(r\/90) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = s + 1, 3*r - 31 = -5*s + r. Let n be (4\/10)\/(s\/(-10)). Let t = 19488 + -38975\/2. Which is the nearest to -1? (a) t (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/6*272\/24. Which is greater: -16 or o?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 100 + 152 = 0. Suppose 60 = f*u - 80*u. Suppose u = -4*w + 7*w. Solve 4*z - 8 = h, w = 2*z + 4*h - 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p**3 - 3*p**2 - 4*p - 10. Let c = -51 - -48. Is l(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/7315904 and 51\/36579520?\nAnswer: 36579520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63626233 + 16?\nAnswer: 63626252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.44 + -0.55. Let v = -1025 - -1025.4. Let r = 8 + -12. Which is the third biggest value? (a) 2 (b) r (c) v (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -641 - 5?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 5 (c) 3\/2 (d) -1283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l**2 - 4*l**2 - 38*l**2 to f*l**2 + h*l + a and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {i: 2, j: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/224 and -81\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 930916 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/9))\/j**(-15) assuming j is positive.\nAnswer: j**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, 8, -2\/48821 in ascending order.\nAnswer: -104, -2\/48821, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/7? (a) 0 (b) -0.4 (c) 0.15 (d) -0.3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 15) in base 14?\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18b (base 15) to base 13.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -46*c**3 + c**2 + 5*c + 9. Is a(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188218933.\nAnswer: 7, 151, 178069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -65697.\nAnswer: -2\/65697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-54) - (-80)\/(-6). Let g = 28 + l. Suppose b - 40 + 6 = -3*j, -g = -j - 3*b. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1606 = -19. Let h = j - -1062. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/19 - 3482540*s**2\/19.\nAnswer: 2*s**2*(s - 1741270)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 141 - 57 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 101, 153?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/9)*l**14 assuming l is positive.\nAnswer: l**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 - 17*u**2 + 922*u\/5 + 1008\/5.\nAnswer: (u - 72)*(u - 14)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -15. Let a = r - -56. Suppose 2*c + c = a. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = -5*n + 17*k, 52 = -4*n + 4051*k - 4047*k for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 - (6 + -18)) - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 + -20.1\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 + 287. What are the prime factors of w?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69557, 278162, 625829, 1112552, 1738325, 2503142?\nAnswer: 3406997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 + 18)*(-3)\/(-45).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/8)\/(a*a*(a*a**(3\/7))\/a))\/(a**6\/((a\/a**(-1\/3))\/a)))**21 assuming a is positive.\nAnswer: a**(-1423\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 1005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, j: 1}. Give prob of picking 3 u.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q\/(q*q*q*q*q**(-4\/3))))\/q**(1\/10))**(-14)\/((q\/(q\/(q**(-2)\/q*q)))**(-34\/5))**(-15\/2) assuming q is positive.\nAnswer: q**(1411\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 23, 5\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + x + 47670 = 0, -3*m - 3*x + 20056 = -8528. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 10*t**2 - t**2 + 2*t**2 + 4*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 3*b - 52. Give i(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*g*t - 64*d**2*g - 12*d**2*t + 2*d + 2*t wrt t?\nAnswer: d**2*g - 12*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 67*i - 472. Give r(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 19*o**2 + 86*o - 538. What is u(6)?\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/4 + -1)*(-66)\/(-55). Calculate the smallest common multiple of 4\/20*q*90 and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 102161?\nAnswer: 3\/102161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m - 4*m**2 + 0*m**2 - m + 0*m**2 - m**3 + 9. Does 15 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -164 + 163 + (-40 - -2 - 0) + 4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.829775 to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 2 - (1 + (4 - 9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**7\/210 + x**6\/24 + x**5\/10 + 23*x**2 - 4. Find b such that q(b) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 - 7*x + 2. Let k(c) = -c**2 - c. Let l(p) = f(p) - 6*k(p). Let s be l(0). Suppose g + 4700 = s*g. Round g to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 7*k**2 - 11*k - 11. Let r be n(-6). What is the units digit of r*5\/2*(-216)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 2}. Give prob of picking 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -818*z - 514612. What is q(-629)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((500\/110)\/(-25))\/((-68)\/17).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613819357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 71. Let a(z) be the first derivative of 1\/4*z**4 + z - 3 - z**g - z**2. Give a(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -4 (c) -49 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*k = 774*k + 3*z - 32, -k + 2*z = 33 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 28362, -3, -79 in increasing order.\nAnswer: -79, -3, 28362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {y: 2, v: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 585 = -d. Is 3\/(-1 - -4) - d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -33*p + 11. Let v be d(8). Let y = v + 444. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1656306 and 36?\nAnswer: 3312612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 2*o, -6*d + 18 = 5*o - 3*d. What is the greatest common factor of o and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 97. Which is bigger: -4\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1107?\nAnswer: -5\/1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.62 - -5.62. Which is the closest to -2? (a) z (b) -1\/7 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620*x**3 + 310*x**3 + 12 - 3 + 303*x**3.\nAnswer: -7*x**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -z + 30, 1337*z = -x + 1335*z + 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2*c + 4*d, -4*c + d = -3. Solve m = c - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28\/2519 - -64583\/20152. Let j = i - 25\/8. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1215 + 1292. What is the highest common divisor of w and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(-6)\/w)\/w))**25*w**(-3)*w*w**(15\/2)*w assuming w is positive.\nAnswer: w**(463\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g**3 - 4*g - 11*g**3 - g**3 + 3*g**4 to the form z + q*g**3 + n*g + i*g**2 + v*g**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1521 + -1?\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 621436 - -1646191. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y + 29. Let h(d) = 4*d - 10. Determine -4*g(z) - 11*h(z).\nAnswer: 8*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*m + 3*m, 5*m - 80 = 5*q. Suppose 3*i = i + m. Let d = i - 2. Solve -4*v = 3*n + 10, -2*n + v = -d*n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/23 and -69\/34?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1174.2 times -7807\nAnswer: 9166979.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*c + 1836 = 0. Suppose -5*x = -89 - c. Suppose 2*l - x = -2*i + i, 0 = -2*i - 10. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*r + 2)*(3*r + 0*r - 1 - r).\nAnswer: -6*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/11, 0, 5, 9\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*l**4 + 4*l**3 - 4*l**2 + 25844*l + 15 wrt l.\nAnswer: -1824*l**2 + 24*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13493 (base 13) to base 12.\nAnswer: -18978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -37 (b) -2\/143 (c) 4\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 2*d**2 - d**2 + (2 - 2 + 3)*(d**2 + 1 - 1) + 648 - 648 + 22*d**2 - 7*d + 7*d + 2 + 2*d**2.\nAnswer: 26*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/472 and 107\/136?\nAnswer: 8024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24619.3 + -24619. What is the closest to 1\/2 in a, -6, -49, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -7 - 15\/2*d**2 - 7*d - 1\/3*d**3. What is the tens digit of l(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80177668?\nAnswer: 2, 37, 61, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14092 is divided by 3523.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1988 - -3989\/2. Let b(z) be the first derivative of 7\/6*z**6 + 0*z**5 + 0*z**3 + 6 + 0*z - q*z**2 + 0*z**4. Find the second derivative of b(x) wrt x.\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -22*b**2 - 52*b**2 - 22*b**2. Let c(v) = -3*v. Give c(x(q)).\nAnswer: 288*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -19. Let m be ((-18)\/10)\/(q\/100). Solve 3*j = -2*j - t - m, j - 4*t = -18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.519003 litres to millilitres.\nAnswer: 7519.003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6153, 5544, 4933, 4320, 3705, 3088, 2469?\nAnswer: 1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -114, -363, -846, -1641, -2826, -4479?\n\"Answer: -13*a**3 - 2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.94 + -23.9. Let w = j - 0.04. Let r = w + -15.00182. What is r rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + -241\/3. Let l = 656 + -565.6. Let i = l - 90. Which is the closest to i? (a) z (b) -2\/5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 14*i**2 + 3*i + 10. Let r be u(-15). Calculate the highest common divisor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -795798.5086 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/6 and 379\/(-21) + 4\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 1:55 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 18, 0.03, 0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 55. Solve a - 9 = -2*a, l*a = 4*f + 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53044 and 3278?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 + 7*x - 22. Let l be r(5). Let y = l + 106. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -361839929.60000001 + 361839928. Let h = 1.6 + w. What is h rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 7227.299.\nAnswer: -28909.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419186925?\nAnswer: 3, 5, 1863053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(6\/4 - 0). Suppose 3*x + 379 = 5*u + 7500, -c*x = 2*u - 9512. Suppose -3*p + x = 4*f, -480 = 3*p - 2*f - 2833. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*k - 2*k = 18, -4*k - 13 = -o. Suppose 5 = -o*a - 5*n, -3*a + n = a - 1. What are the prime factors of (a - 13)\/(-1 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjajbj. Give prob of sequence ab.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 - 14*j**2 + 17*j - 3. Let d(r) = r**3 + 5*r**2 - 6*r + 1. Determine 11*d(y) + 4*g(y).\nAnswer: -y**3 - y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*g - 77*g - 70. Let k be (-669)\/g - 1\/(-5). Let r = k + 27221\/1330. Calculate the common denominator of 7\/10 and r.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 12)*(-39)\/(-4)*(32\/6 + -5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843.4575ug in tonnes?\nAnswer: 0.0000000008434575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 346*y**2 - 315*y**2 + 0 - 3*y + 2. Let r be q(2). Calculate the highest common factor of r and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64021, 128003, 191933, 255787, 319541?\nAnswer: 383171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5425\/385 + 1\/(-11). Sort -3, 4, i.\nAnswer: -3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*g + 43, -3*c + 9 - 24 = 0. Suppose 4*o + 21 = g*o. What is the second smallest value in -1\/9, -9, o?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**3 - 37*t**2 + 9*t + 1. Let z(b) = -b**3 - 9*b**2 + 2*b. Give -2*x(d) + 9*z(d).\nAnswer: -d**3 - 7*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 116, 205, 316, 455, 628?\n\"Answer: b**3 + 5*b**2 + 67*b + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387140328 a multiple of 5972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 0 + 2 - 5*x - 1 - 3. What is d(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = 11*b - 15 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhos. What is prob of sequence oh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21842 - 21840.12. Which is the biggest value? (a) 2\/7 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*v, -66*v = -42*v - 37*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 292 and 0.1?\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6356 = 204*r + 9*r + 4294 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q. Let b be x(-1). Let k = 5 - 3. Differentiate 2*c**3 - b*c**3 + 3*c**3 + k wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*b - 399*b = -1089*b - 32940 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -299817 - -1504836\/5. Let j = -1082 + w. Let h = -68 + j. Put h, 16, -5 in increasing order.\nAnswer: -5, h, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/2, 3, -0.8 in decreasing order.\nAnswer: 3, 0.1, -1\/2, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 223442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 8*q - 6. Calculate r(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -5, 4, -0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2853 (base 13) in base 6?\nAnswer: -11245350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142823.88 + 88088.\nAnswer: -54735.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**2 + q**2 - 3*q**2)*(-2*q - 1307 + 5*q**2 + 1319 - 13*q**2) + 0 + 0 - q**4 to the form s*q**4 + g*q**2 + v*q + r + x*q**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.201 + -5.601. What is the third biggest value in -0.2, z, 0, 0.004?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 20. Let l = -14 - -23. Suppose -a + 5*u - 7 = 0, 3*a + u - 2 = l. Calculate the remainder when w is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*l + 78. Suppose 31 + l = 6*p. Let b be 2\/(-5) + 154\/10. Calculate the highest common divisor of p and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 290 = -43*i + 41*i, 4*i = 16. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 55 = -345. Let b = c + 154. Suppose x + b = 2*z, -5*z + 3*x - x + 184 = 0. Calculate the greatest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 16, 30?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 + 141*y**2 + 1171*y - 88. Give m(78).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-6)\/27). Suppose y*p - 17 = -2. Suppose s = p*s - 8. Calculate the lowest common multiple of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-140)\/(-6)*73530\/903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/31343154 and -43\/6.\nAnswer: 31343154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 14500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 971101, 3884419, 8739949, 15537691, 24277645, 34959811, 47584189?\n\"Answer: 971106*x**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/12*((-224)\/24)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 212500440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72105 and 44519145?\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (8 + 25851\/(-35)). Let g = 725 - r. Which is the closest to g? (a) -1\/8 (b) 2\/7 (c) 8 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/3 - (0 - -7). Let s be (u\/6)\/((-6)\/20). Suppose -5*d = -4*o + 26, -s*d + 51 = 5*o - 4. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105 or 104?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 - 35*x**2 - 13*x + 8. Determine f(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 290 = -43*m. Let a = -60 - m. Sort -3, a, -11, -4 in ascending order.\nAnswer: -11, -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g = 33*g + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3234325 is divided by 172.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 42, 102, 204, 360, 582?\n\"Answer: 2*d**3 + 3*d**2 + 7*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222667 and 1046743?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4063 (base 8) in base 10?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 9*j + 306 - 260 = 16*j - 6*k, -2*j = -3*k - 37 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + -61. Let d = 95.00000083 + a. What is d rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + g + 1836 = 0, -p + 8*g - 11*g + 1840 = 0. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -27?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1194*h + 3602. Give x(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26869066 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 6*d**2 - 13*d. Calculate t(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - z - 4*z + 31 = 0, 0 = 5*m + 4*z - 5. Let l be (-1282)\/8 + m\/(-12). Let r = l + 245. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17871305563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*a + 3*t + 86, -748*a + t = -734*a - 65 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 - 1?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4349, -35137, -118699, -281423, -549697, -949909?\nAnswer: -1508447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613564 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(sqrt(133)*-2 + sqrt(133)) + 3*sqrt(133)*1)\/((6*sqrt(7)*-3 - sqrt(7)) + (sqrt(21) + (sqrt(21)*-3 - sqrt(21)) + sqrt(21))\/sqrt(3)).\nAnswer: -2 - 8*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 719691120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844 is divided by 411?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 19*n**3 - 6*n**2 + 5*n + 6. Let z(f) = -20*f**3 + 5*f**2 - 4*f - 5. Determine 5*w(c) + 6*z(c).\nAnswer: -25*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 + 7*d - 1. Let f(z) = 15*z + 26. Let v be f(-2). Let g(t) = 2*t**2 - 4*t + 1. Determine v*c(w) - 7*g(w).\nAnswer: 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-2) + 42\/28. What is the tens digit of h\/54 + 227\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 220132, 220078, 219990, 219868, 219712, 219522, 219298?\n\"Answer: -17*i**2 - 3*i + 220152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1325*h. Let w(p) = -231*p. Calculate n(w(q)).\nAnswer: -306075*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 13*f + 13. Let w = -190 + 204. Calculate the least common multiple of 63 and i(w).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 150*b**3 - 154*b**3 - 4*b**2 - 6*b**2 in the form y*b**2 + w*b + k*b**3 + m and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5 = -0*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -2985660173349.\nAnswer: -2985660173344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 266 - 269. What is the closest to -31 in w, 2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012289544 to 5 dps.\nAnswer: 0.01229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 375454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = -13*n + 26 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -4.07. Suppose -u + l = 5, u + 11 = -0*l + 4*l. Sort f, 0.5, u.\nAnswer: u, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-10) + 15\/(-2). Let w be 4\/(-16) + (-6)\/m. What is the nearest to -1\/2 in 1, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 5.6 (d) -7 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/((-2)\/(-3)). Let q(t) = 1 + t**2 - 5*t + j + 4*t. Suppose -4*b - 4 = -12. Give q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 328\/20 - (-4)\/(-10). Let q be 2\/(-7) - (-150)\/(-14). Let f = r + q. Sort f, -2, -3.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 1:53 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(3*x**3 + 2*x**3 - 4*x**3)*(41 - 35 - 23).\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4656 + 6550. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 5*r**2 - 10*r - 20. Let p be q(-6). Suppose -p = -11*s - 15. Which is the nearest to 2\/11? (a) -5 (b) 0.1 (c) s (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1593 - -81?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqao when four letters picked without replacement from yyqqyoayoqmy?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-4) + 136\/32.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7903 * -0.135.\nAnswer: -1066.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1225938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -18. Solve o*m = 4*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 9 + 12 = -t, 5*v + 3*t = -9. Let z(k) = -5*k**2 + k - 12. Let g(m) = -4*m**2 + m - 11. Let h(o) = -4*g(o) + 3*z(o). Determine h(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -85*a**2. Let j(b) = -7*b**2. What is 35*j(i) - 3*n(i)?\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-30))**(26\/7) assuming s is positive.\nAnswer: s**(-780\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*o**2 + 258*o**2 - 72*o + 148*o + 32*o wrt o.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o + 204 = -11*o. Suppose -30 = -6*u + u. What is the remainder when o is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 46*r - 50. Let l be s(-47). Which is the fourth biggest value? (a) -5 (b) 2\/5 (c) l (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 - -110.9. Let p = h + 10.1. What is the closest to p in -1, 0.3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/71 or 0.00297?\nAnswer: 0.00297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.28 - 1.12. What is the smallest value in x, 1\/8, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3109*b - 9308. Calculate v(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-1001)*-14*(-2)\/(16\/4)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -170923 times -41\nAnswer: 7007843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -50*v. Let b(z) be the first derivative of -z**2 - 25 - 3 - 25 + 13. Give g(b(a)).\nAnswer: 100*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -97*q + 105. Calculate r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -2329753?\nAnswer: -698925.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/20 + h**4\/12 - 2*h**3\/3 - 2*h**2 - 1177*h. Determine b(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44.2 * 0.1\nAnswer: 4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195627 is divided by 97.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -190981.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 17. Suppose -2*b - 8 = 0, -19 = -3*k - t*b + 3*b. Suppose 4*v - v - 5*c = k, -3*v - 3*c + 9 = 0. Solve -v*a - 3 - 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(7))**2 + 0 + (sqrt(931))**2*-1 - ((-1*sqrt(76) - sqrt(76))*-1 + -6*(0 + sqrt(76) + sqrt(76)))**2.\nAnswer: -8512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 22789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 317 + -322. Which is the nearest to 1? (a) m (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (2\/(-3) - -2). Let o = 8.92 + 0.08. Let k = o + -14. What is the closest to s in 0.3, 2\/9, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -3 + 2 - -2) + -16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133045535 - -5?\nAnswer: -133045530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 + 16\/7*t - 2\/7*t**3 + 0 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*z - 329*z - 25*z - 30*z - 200*z - 18*z.\nAnswer: -980*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134*g - 4*g**3 + 2471 + 115*g**2 - 118*g**2 - 2475 + 2*g**3 - 3*g**3 + 3*g**3 + (1 - 1 + g)*(-g**2 - 2*g**2 + 2*g**2).\nAnswer: -3*g**3 - 3*g**2 - 134*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 603\nAnswer: -60.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 10*j. Suppose w - 2*k + 2 = 12, 2*k + 10 = j. Let h(z) = -z**2 + 7. What is the units digit of h(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -491 (b) -10 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, y: 5}. Give prob of picking 3 y and 1 j.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/133042949 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -15*h**3 + 4*h**2 + 4*h + 1. Let a be (2\/6)\/(-3 - (-48)\/18). Let r be x(a). Factor r*l**2 - 250*l**3 - 1458*l**5 - 2*l + 2*l + 972*l**4 + 34*l**3.\nAnswer: -2*l**2*(9*l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-128)\/(-220) - 2\/5. Let y = 1.706 + -1.706. What is the nearest to -16 in -4\/7, y, f?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x)*(-18 - 12 - 93) + 8*x + 9*x - 5*x + (3 - 3 - x)*(5 - 2 - 2).\nAnswer: -112*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15012 + -15011.9. Let g = -0.5 - -0.3. What is the closest to a in g, -4, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 3*g - 2*g + g - 8*g. Let z(s) = -26*s. Give z(a(i)).\nAnswer: 286*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(6\/5)*x)\/((x\/(x**(-4\/9)\/x))\/x*x))\/(x*x*(x*(x\/x**0)\/x)\/x)**(-31\/5) assuming x is positive.\nAnswer: x**(484\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221623.\nAnswer: 221623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 17070.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32861568.\nAnswer: 2, 3, 85577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**8*z)\/(((z\/(z*z**3))\/z*z)\/z*z*z*z)*((z*z**(-2\/9)*z*z)\/z)**(-1\/3) assuming z is positive.\nAnswer: z**(281\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5184) - 2*1*sqrt(5184))*-2)\/(5*sqrt(363)*-1*4) + -1.\nAnswer: -1 - 12*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 5*w + 11. List the prime factors of o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-3) - (0 - 1). Suppose -n = 2*n. Suppose 3*p + 12 = -3*u, 2*u = 2*p - 0*p + 8. Solve -y*v + n*v - 4 = u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2721, 2669, 2617?\nAnswer: 2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g - 25. Let f be u(7). Put 52, -2, f in increasing order.\nAnswer: -2, f, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbxl when four letters picked without replacement from {x: 2, l: 1, k: 3, o: 5, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12 = -3*q, 0 = -3*q - 4*n + 6*n + 6. Suppose 0 = 3*m - 5*o + 25, q = m + 3*m - 3*o + 15. Let b be (1 + m)*(5 - 2). Which is smaller: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91064 - 41496. What is the ten thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v + 6. Let t be d(5). Suppose t = 3*j + j. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + z - 6 + 4*z**2 + 0)*(-2 + 2 - z).\nAnswer: -4*z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2573 - 20668 = -127*l. Suppose 5*p = 3*i - 5*i + 50, -4*p + 23 = 5*i. Let n = l - p. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193581 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12507 - 8491841614.\nAnswer: -8491854121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 13775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 0*r + 0*r**2 - r**4 + 0*r**3 + 51 - 2\/5*r**5. Find s, given that h(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**3\/3 + b**2\/2 - 2. Let s be l(1). Sort s, 5, 3 in decreasing order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + -a6563?\nAnswer: -a6536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.34792 minus -3599938?\nAnswer: 3599963.34792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.316 take away 4746?\nAnswer: -4791.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 106232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (1*(sqrt(208) + 0) - sqrt(208)))**2 - ((sqrt(208) + 1*sqrt(208))*4)**2.\nAnswer: -13104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1085 at least as big as -5770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-6))\/((-25)\/90). Let n(f) = w*f - 27*f**2 + 5 + 14*f**2 + 14*f**2. Give n(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z - 22. Let m be l(-10). Let a be -1 + (-3)\/m - 84\/(-24). Suppose -4 - 4 = 4*q. Put a, -3, q in descending order.\nAnswer: a, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*r + 5*r + 131*r to the form t*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54a - b0?\nAnswer: -60a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277.03 + 277. Which is the third biggest value? (a) n (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1543 = 6*v. Let l be (v - 1)\/((-13)\/16250). What is l rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/6)\/((-2)\/(-3)). Let q be 41\/8 + (-4)\/32. Suppose 5*x - q*a = 12 - 2, 0 = -5*a. Solve -2 = -x*n + l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**2 - 13260*l + 119664 = 0.\nAnswer: -3324, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3.2. Let r = k + -2. Is r bigger than 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3)**0\/(p**(-2)\/p*(p\/p**(-1\/9))\/p))**(2\/7) assuming p is positive.\nAnswer: p**(52\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -5. Let w(q) = 4*q**2. Let v be w(k). Solve 0*c = v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123178 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1012 and 2372?\nAnswer: 600116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -12. Let r = q - -9. Let v = 0 + r. Solve -10 = 5*w, b - 2*w - v*w = 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.02 + 0.02. Let w = -0.379 - 0.021. What is the nearest to -3 in w, h, 3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7432075*t**5 - 376314*t**2 - 4*t wrt t?\nAnswer: 445924500*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.431 - -0.029. Let v = 0.05 - 1.45. Let y = v + o. What is y rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2. Let q(u) = -1603*u**2 - 427. Calculate q(x(l)).\nAnswer: -6412*l**4 - 427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 + 3*o**2 + 23*o + 45. Let y be a(-2). Let w be -56*3\/(1 + -7). Suppose 0 = c + 5*m + w, 2*m + 0*m - 20 = 2*c. Is c not equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {u: 13, o: 5}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 - -9) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6252646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424 and 962957?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17142 + 14930684\/871. Is 0 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:49 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2216 - 2212. Let j(v) = v**3 + 3*v**2 - 2*v - 1. Let r be j(-3). Solve r*y + 4 = f*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*w**2 - 43*w**2 - 2*w**4 + 7*w**2 + 79*w**4 - w - 1910 wrt w.\nAnswer: 924*w**2 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzff when four letters picked without replacement from {z: 4, f: 9, d: 4}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -11617800 to the nearest ten thousand.\nAnswer: -11620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5828 divided by 5828.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 2*n + n)*(3*n + 3*n - 4*n)*(-4*n**2 + 2*n**2 + n**2).\nAnswer: 2*n**4 - 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -725 + -2?\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12720\/(-45) + 2\/3. Let b = q + 573. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*((-399)\/(-3192))\/((-45)\/24)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -81?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 14400 = -50*u. Suppose 3*h = -2*h + 75. What is the highest common divisor of h and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h*h**(-4\/7)*h*h**6*h**(-11)\/(h**(-2)\/h) assuming h is positive.\nAnswer: h**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 11*r + 10. What is y(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8338.938 tonnes?\nAnswer: 8338938000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + 3b62?\nAnswer: 3b4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 2:35 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 5 - 1 - 5)*(-4*f**2 + 2*f**2 + f**2).\nAnswer: -3*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 239949856 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*n = 16, -2*h - 3*n = -5*h + 15. Let x = 6 - h. Let z = 9 - -7. Calculate the least common multiple of x and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*l - 5*y, 2*l = -5*y + y + 18. What is the second biggest value in -3, -0.4, -0.5, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 39590.\nAnswer: 356310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99649849?\nAnswer: 13, 71, 107, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 8 - (10 + -13). Solve j*y - 14*y + 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 b when three letters picked without replacement from yrrkabxyb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*b**2\/7 - 18*b\/7 + 2.\nAnswer: -2*(2*b - 1)*(5*b + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 + 16*i**2 + 4*i + 20. Let p be s(-8). Let r be (-18)\/(-3) - (-63)\/p. What is the closest to -1 in -3, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940\/(-47)*(-2)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-6) - 3\/(-3). Let t = -18.3 - -14.3. Let l = -1683 - -1684. Which is the nearest to l? (a) -3 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*i + 2, -2*i + n = -2*n + 2. Let m(p) = -9*p**3 + 1. What is the units digit of m(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29094032274 + -41334957397. Let h = f + 12240925179.99999957. Let s = -57 + h. Round s to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**4 - 81460257*m**3 - 56285538*m**2?\nAnswer: -24*m - 488761542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103 - -129. Let u(c) = -25*c - a*c - 16*c + 66*c. Determine u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120265189.\nAnswer: 11, 1373, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + 4*w. Let t(j) = -7*j**2 - 9*j. Let n(f) = -4*t(f) - 9*z(f). Let i(u) = u**2 + 2*u**2 - u**2. Calculate n(i(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j - 12*j**2 + 6*j)*(180 - 222 - 126 - 751).\nAnswer: 11028*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -118.8 not equal to 4\/1505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (5\/39 - 2). Let h = w + -6\/13. Sort h, 0, 3\/4.\nAnswer: h, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3194.2 to the nearest 10.\nAnswer: -3190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 36?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.106 - 0.054. Let n = q - 0.452. Suppose -12*l = -7*l. What is the second smallest value in l, 1.3, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95352 divided by -6.\nAnswer: 15892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3816168 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -883414.\nAnswer: -883410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 40*l**2. Let v(r) = r**2 - 27*r - 24. Let i be v(28). Let a(z) = i*z + z - 2*z - 4*z + 2*z. Give a(w(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*t - 31*t - 4. What is the common denominator of -28\/33 and -4 + (-867)\/(-72) + t?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484046 divided by 742023?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1343656 and 6046452.\nAnswer: 12092904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from xaxkxkakkkkdkxaakx.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 20*b. Let x = 9 + -7. Suppose -2*j - 5*p = -28, 2*j - 4*p - x = -10. Solve b = -h + 3*h - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.091 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-4 + 5)*(-1)\/(-20). Let i(t) = 19*t - 91. Let n be i(5). Sort -3, 0.5, p, n in decreasing order.\nAnswer: n, 0.5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*d**5*x**3 + 55*d**5 + 36*d**2*x**3 - 3*d**2*x**2 + 6*d**2 - 3*x**2 wrt d.\nAnswer: 960*d**2*x**3 + 3300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -20. Sort 4, u, -3 in decreasing order.\nAnswer: u, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from efefuefefee?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3*o**(-4)\/o*o*(o**(-4)*o)\/(o**(-9)\/o) assuming o is positive.\nAnswer: o**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/135)\/(36\/324)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98888 and 6.\nAnswer: 593328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 25 = -3*i. Let z(k) = -7*k + 4. Suppose -4*m + 35 = -5*a, 0 = -6*m + 633*a - 628*a + 55. What is the remainder when z(i) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -18, 15, 92, 231, 450, 767, 1200?\nAnswer: 1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 5) to base 9.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 50. Is d + 0*(-1)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89793 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -773 + 790. Calculate the remainder when 231 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20343 (base 7) to base 6\nAnswer: 35020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 10*g**2 - 10*g - 18. Let h be b(-9). Let a = h + 12. Let q(t) = 13 - 22 + 9 + a*t**2. Let v(s) = -2*s**2. Calculate q(v(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23598, -47207, -70816?\n\"Answer: -23609*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5635739 divided by 1\nAnswer: 5635739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**3 + 2*z**2 + 281*z + 781. What is m(-3)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2146 - 2141)\/((-5)\/52))\/(-4*(-1)\/(-9))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10318536 and 63.\nAnswer: 72229752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -5, 68808, 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422679838.\nAnswer: 2, 7, 30191417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10202 (base 3) to base 9\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 778?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -845, -846, -853, -872, -909?\n\"Answer: -f**3 + 3*f**2 - 3*f - 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -0*p + 3*p. Suppose 0 = -3*f + 2*f + 36. Let n = f - 21. What is the remainder when p is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*j**2 - 32*j**2 + 28*j**2)*(4 - 6 - 5) + 2*j**2 + j**2 + j**2 + (0 - 2*j + 0)*(-4*j + 3*j - j).\nAnswer: 260*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1288*w - 1291*w - 1293*w + 3867*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 10354.66 kilograms?\nAnswer: 10.35466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(448)*1*-5)**2 + -5*-1*sqrt(448))*1.\nAnswer: -11200 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 5*x = -4*b + 38, -2*b - 2*x = 4. Find the common denominator of ((-21)\/8)\/((-8)\/(-16)) and ((-105)\/24)\/(b\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 285 and 10.\nAnswer: 2850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 15*g - 53. Let i be z(7). Suppose -51 = i*f - 6. Let p be (-30)\/204*12\/f. What is the closest to -3 in p, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 1323*i - 1319*i - 26, 3*i = 4*y - 18 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h + 4. Let f be q(0). Find g, given that -g**2 - 57*g + 2 - 4*g**f + 54*g + 3*g**3 + 2*g**4 + g**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -83 - -46) + -137.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1901752 divided by -178\nAnswer: -10684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98\/(-343) - (-6036)\/7?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) - (-39)\/12. Let a be 8 - (j - 2)*-4. Factor -28*c**3 + 10 + a*c**2 + 12*c**4 - 29 + 12*c + 11.\nAnswer: 4*(c - 1)**3*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -6, -4*f + 3 = 7*m - 2*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdddddvdvdd. What is prob of sequence vddd?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -4*b + 32, -34 = 4*n - 17*b + 15*b for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/8)\/7*120\/(-165)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/40)\/((-3)\/(-145))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130781 and 93415?\nAnswer: 653905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*y + 17, 0 = 5*y + 10 + 10. Let n be 4\/(-14) - (z - (-61)\/7). Is n bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 587932 divided by -146983\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 915555847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*l + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 486*q + 177147.\nAnswer: (q - 729)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3364, 0.21, 0.19 in decreasing order.\nAnswer: 3364, 0.21, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let p(s) = 1678*s**3 + 3356*s. Give 3356*c(g) - p(g).\nAnswer: -1678*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -26*q**2 - 767*q + 451. What is d(-30)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-1)\/3). Let o(a) = -a**2 + a - 1. Let p be o(k). Let t be p\/(-5)*(-75)\/45. Is t not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1598*f**2 + f + 277 wrt f?\nAnswer: -3196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-543)\/((-2705769)\/(-604)))\/(4\/(-9))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 3*s + 3*s)*(1 - 1 - s) + 1788*s**3 - 1788*s**3 - 31*s**4 - 2*s**4 - 2*s**3 + 2*s**3 - 2*s**4 + 4*s**4 + 0*s**4.\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000122914 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -176*l**5\/5 - 2*l**3\/3 + 19*l - 176. What is the derivative of y(x) wrt x?\nAnswer: -704*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.845201788 rounded to three dps?\nAnswer: -2.845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -249, -262, -275?\n\"Answer: -13*i - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Which is the biggest value? (a) 2\/23 (b) -0.5 (c) 2\/11 (d) 5\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17878*i + 420501 = 302521 - 471994 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*d + 7. Let w = 0.4 + -0.5. What is the nearest to d in 0.2, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -1\/2*p**4 - 53\/3*p**3 + 0*p**2 + 0*p + 2\/5*p**5 + 113. What is the third derivative of s(b) wrt b?\nAnswer: 48*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1957.8954 nanoseconds in minutes?\nAnswer: 0.00000003263159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 18 - 21 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 10604114?\nAnswer: -10604062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/430562 and 83\/1353.\nAnswer: 52959126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40\/13 - 95\/52. Let z = -6.1 + 2.7. Let k = z + 3.5. Put -0.2, k, n in decreasing order.\nAnswer: n, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Suppose -3*u - r*u = -105. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2849735928 and -291.6.\nAnswer: -2849736219.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:47 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 6*a**2 + 47. Give h(-9).\nAnswer: 1262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -61553783 to the nearest one hundred thousand.\nAnswer: -61600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/60 - 23*j**5\/10 - 22*j**4 - 260*j**3\/3 + 465*j**2. Factor x(k).\nAnswer: -2*(k + 2)**2*(k + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q - 1. Let w be a(4). Let n be (w\/(-18))\/(2\/66). Let p = n - 37. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24801 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49893 is divided by 4800.\nAnswer: 1893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50463 and 293433.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - -7769?\nAnswer: 7753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 6, q: 4, t: 3}. Give prob of picking 2 h.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -11. Let i = -8 + d. Which is greater: 3\/2 or i?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8055*v - 8056*v - 8059*v - 8062*v + 40291*v - 8058*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j - 1271 + 3107 = 0. What is the remainder when 813 is divided by j?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 52 - 3038*h**2 + 2536*h**2 as i*h**2 + u + x*h and give i.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5582 is divided by 901.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.48 times 0.2?\nAnswer: 0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urh when three letters picked without replacement from {k: 3, u: 7, h: 1, a: 4, r: 4}.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u - 11. Let z(v) = 8*v + 28. Let f(t) = -11*k(t) - 4*z(t). Let x(l) = -l + 2. Let g be x(6). Calculate f(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/3 + 2396*o**2\/3 + 4784*o\/3 = 0. Calculate o.\nAnswer: -1196, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -11 + 40*114\/475. What is the biggest value in l, -5, -2, 19\/2?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20381 is divided by 120.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 27 = -33. Let h(z) be the second derivative of z + 0 + 1\/3*z**3 + 1\/12*z**4 - 2*z**2. Let y(k) = -2*k**2 - 3*k + 7. What is i*h(j) - 6*y(j)?\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-1))\/(30\/4). Is y less than 31\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 347 - 335. Suppose v - 4*f - k = 22, 4*v - 136 = -2*f. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -w. Suppose -4*y + 666 = 2*t, 143 = w*y - t - 354. What are the prime factors of y?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 y, and 1 s when four letters picked without replacement from yeotsyoeototvoovoe?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*n - 4 = 0, 4*n = -0*x - 3*x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*4\/(-2))\/20.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119 - -124. Solve m*c + 8*c = 39 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 16. Solve -u - u = -m + 9, -m - v = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -120. Let d = p - -121. Let l be 2 + -3 + d + 1. What is the second biggest value in -4, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.843784 nanograms?\nAnswer: 0.000000843784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, v: 2, i: 3, p: 1}. What is prob of sequence vie?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.02 + 1.02. Let i = -2\/67 - 57\/335. Sort i, 1, n, -1.2.\nAnswer: n, -1.2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 4. Let s be b(-4). Let p = -10 - -8. Let g be s\/(5 - (-6)\/p). Solve g = -2*x - 2*i + 1 + 1, -4*x = -5*i - 22 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 684 - 684 - 18*n in the form j + c*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2364*o - 82751. Calculate h(35).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -758\/1113 + 16\/1113. What is the closest to f in 5, -0.4, -5, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*w + 5 + 3, 2*w + 4 = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 at most -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 11. Let v = 878.2 - 878.22. Which is the biggest value? (a) 3 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -489 + 491. Let o be b\/(-7) - 270\/(-63). Solve 3*d + 0*d = 2*j - 7, o*j + d - 7 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079221349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c - 14 = -144 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -365*f + 368*f - 17343. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 847 and 97314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/7 - (-4 - (-1992)\/(-28)). Let b(x) = 15*x**2 + x + 1. Let a be b(-1). What is the highest common divisor of y and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t - 32 = -y, -4*t + 208 = 4*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306*26\/24752*2\/(-3)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/((-3)\/22)*9\/1 and 15.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-318 - -318 - (-1 - -28)) + 51?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a*c*f**2*h**3 - 2*a*c*h**2 + 2*a*f**2*h**3 - 2*a*f*h**2 - 3*c*f**2 + c*f*h**2 + 2*f*h**3 + 2*f wrt f.\nAnswer: -8*a*c*h**3 + 4*a*h**3 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhwbwfhww. Give prob of picking 1 w and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 26*l**2 + 47*l + 6. Let g be p(-24). Let f(m) = 2*m**3 - 59*m**2 - 28*m + 30. Calculate the least common multiple of 117 and f(g).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21979284 divided by -4.\nAnswer: 5494821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/120 + 103*s**5\/30 + 31*s**4\/3 - 127*s**2. What is the second derivative of a(r) wrt r?\nAnswer: 6*r + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.005 to 1 dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -37*j**3 - 29*j**2 - 38*j - 9. List the prime factors of m(-7).\nAnswer: 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39861 divided by 3?\nAnswer: 13287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + 912. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/(-20))\/((-4)\/(-20)). What is the greatest common factor of 18 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1133*t + 154*t + 561*t - 1612*t in the form o*t + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-80)\/15))\/(15\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 10712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.768959899 - -44.769. What is o rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2110)\/(-25) - (-1 - (-4)\/10). Suppose -z + 9 = -4*n. Let y = 23 - n. Solve t = -m, 5*t - 5*m + y*m + 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269256 divided by 6\nAnswer: -44876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d. Let j(z) = -5*z - 2. Let r(c) = c**2 + c - 8. Let l be r(-4). Let k = l + -5. Calculate k*j(u) - 4*n(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*b = 25, 2*b = u + 3*u + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4.2. Let m be (-2)\/((-1)\/((-22)\/40) + -2). Let p = 7 - m. What is the smallest value in r, 3\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**3 + 3*g**3 - 8*g + 10*g**2 - 5 + g**3. Let z be a(9). Suppose 4*k - 96 = 5*f, 2*k - 30 = -z*f + 2*f. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**3 + 4*m**3 + m**3 + 4*m**3 - 11 + 3.\nAnswer: -12*m**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2990 + -1023?\nAnswer: -4013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 0)*(10 - (-24)\/(-2)). Suppose -k*z = -1093 + 159. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 821 - 353. Calculate the highest common divisor of 36 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651421 (base 9) in base 13?\nAnswer: 1078b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(28)\/sqrt(32))\/(sqrt(12)\/sqrt(54)).\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/13 - 10\/117. Let w = -218 + 15. Let x = 202.9 + w. Sort -1, x, c.\nAnswer: -1, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 920 and 1040?\nAnswer: 23920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(((-165)\/315)\/11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013122003 - -2111?\nAnswer: 1013130120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2 - 30*g + 48 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 14. Let o(v) = 3*v - 15. Let d(q) = -4*b(q) + 3*o(q). What is the units digit of d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*k**3*m - 13*k**3 - 427*k**2*m wrt k?\nAnswer: -174*m - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 4, 6, 707, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 577257 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 675?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4935\/385 + (-18)\/22 + 1. Solve j*o + 11 = -41 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6265 + -2003. List the prime factors of n.\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -7*v - 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 77?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 474 a factor of 10303338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13090491 to the nearest integer?\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b**7*b))\/b)**10)**(-1\/13) assuming b is positive.\nAnswer: b**(70\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - g = 7, -5*f = -0*g + 4*g - 24. Factor 5*z**2 - 76*z**4 + 28*z**4 + 3*z**f.\nAnswer: -5*z**2*(3*z - 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**5 + 978*s**4 + 48066*s**3 - 2930*s**2 - 146136*s - 96120 = 0.\nAnswer: -45, -1, 2, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4. Let u(b) = -b - 7. Let j(w) = 7*o(w) + 4*u(w). Is j(-2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1527, -1517, -1493, -1449, -1379?\n\"Answer: j**3 + j**2 - 1529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4022049 and 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 7*j**2 + 2. Let f(q) = q**2 - 2*q - 1. Let v be f(-2). Let i be u(v). Solve 5*l + 3*s - i*s = 9, 17 = -3*l + 5*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(171) + -1)*-2)**2.\nAnswer: -4128 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1398, -3, -5, 4, -2, -1, -21 in decreasing order.\nAnswer: 1398, 4, -1, -2, -3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p**2 - 4*p - 9. Suppose 2*n - 40 = -3*n. Let s = n - 3. Let m(v) = 7*v**2 + 7*v + 17. Let t(o) = s*i(o) + 3*m(o). Determine t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + b = 144, -4*b = 3*v - 132 - 79. Suppose 2*a = 3*r + 63, -17 = -3*a + 3*r + v. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13752438, 13752432, 13752422, 13752408, 13752390?\n\"Answer: -2*w**2 + 13752440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zugt when four letters picked without replacement from {z: 1, t: 2, k: 1, u: 1, e: 2, g: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*l**4 + 6*l**4 - 15*l**4 + l**3 - l**4 - l**3 + (-11*l + 11*l - 21*l**2)*(0*l**2 + 0*l**2 - l**2).\nAnswer: 33*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 27*z - 212. Let d(y) = 2*y**2 + 26*y - 214. Let f(q) = -3*d(q) + 2*t(q). Let o be f(10). Do o and -222 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c = -0*c + 1170. What is the tens digit of (-3640)\/(-10)*(c\/(-4))\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2) - 14\/(-7) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-63))\/((-2)\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -17, 1, 6, 119, -13 in increasing order.\nAnswer: -17, -13, -5, -2, 1, 6, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.78999 rounded to 1 dp?\nAnswer: 433.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1\/(-3) + -1. Suppose -5*r = -2*m - 48, -r + 2*m = -z*m - 8. Suppose -3*b = -8*b + r. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3667 to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i**3 + 387*i**2 - 36*i + 1544. Calculate y(43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4825185.\nAnswer: 3, 5, 321679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 758148.7kg in nanograms?\nAnswer: 758148700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - sqrt(132)*-2*-4) + 1*(sqrt(132) + -1*sqrt(132) - sqrt(132)))*-5)\/((1*sqrt(144)*-5)\/(sqrt(1500)\/sqrt(5))).\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s. Let f(j) = 13*j**2 + 5*j. Let l(q) = q**2 + q. Let v(o) = f(o) - 5*l(o). What is v(p(i))?\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 14*c**2 + 25*c - 86. Give o(12).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 9*u - 16. Let f(v) be the first derivative of 2*v**3\/3 - v**2 + 3*v - 7. What is f(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(3 + 30\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528 and 29264136?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09741 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q - 7. Let z(v) = -3*v + 9. Let o be z(3). Determine r(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2976.5 - -2977. Let n = 1 + -0.98. Let v = 0.4 - 0.2. Which is the nearest to n? (a) v (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(50) + -1 - sqrt(50)) + 0)*-2 + -4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**3 + 116*x**2 + 3931*x + 32448. Let y(i) = i**3 - 7*i. Let n(r) = b(r) - 3*y(r). Factor n(d).\nAnswer: (d + 12)*(d + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 13*d - 288. Let f be 2\/3 - (-70)\/3. What is the highest common divisor of d and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 13*g**2 + 51*g - 7. Give a(16).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.13189, -2?\nAnswer: 0.13189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -1\/12*p**4 - 1\/6*p**3 + 0 - p**2 + 0*p - 1\/15*p**5. Let v = -3 - -2. Determine l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-54)\/(-36))\/((-15)\/(-2440) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*a**2 - a - 425*a**2 + a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.18, 3, 7, -0.3, 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*l + 39 = 0, -12929*l = 5*j - 12931*l + 37 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 3 + 1 - 669*w.\nAnswer: -669*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15967.84 + -302.\nAnswer: -16269.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*a - 451*j - 466 = -447*j, -5*a + 8 = 2*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -22. Solve p + j*p = 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2\/7, -0.3, -674, -5 in increasing order.\nAnswer: -674, -5, -0.3, 1\/6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 + 1.5. Which is the third biggest value? (a) -5 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h - 9 - 8*h + 18 - 12 + 279*h**4 - 13*h wrt h?\nAnswer: 3348*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 148 = 6*g - 54*f - 62, -25 = -g + f for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2022*u**2 - 672*u**2 - 672*u**2 - 108*u**3 - 676*u**2.\nAnswer: -108*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*x + 20644 = -2*r + 20636, 2*r + 4*x = -2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*a - 4. Suppose m - 1 = -s, -m - a = -6*m - 4*s. Let g(j) = 4*j + 3. Let w(f) = -3*f - 2. Calculate m*g(t) + 3*w(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2210.3 to the nearest 10.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -260.62 - -247. Let f = c - 3.28. What is f rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -879*u + 678*u - 3216 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69229246 + 3?\nAnswer: 69229249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 60 - 9)*(-3*s**4 + 6*s**2 - s**4 + 11*s**4) to d*s**3 + h*s**2 + l*s + m*s**4 + j and give h.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14938 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854827804?\nAnswer: 2, 3389, 63059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 496 + -493. Solve 0*j - j**2 - 7\/2*j**v + 0 + j**4 + 7\/2*j**5 = 0 for j.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 0 - (-65 - -61) - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.48 (b) 0 (c) 17\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**10 assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6432584060 to the nearest one million.\nAnswer: 6433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b3 (base 14) in base 15?\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 + 0.04. Sort -1\/3, 0.3, x in ascending order.\nAnswer: -1\/3, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/2 + 39*n**3\/2 + n**2\/2 - 39*n\/2.\nAnswer: -n*(n - 39)*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5048, -10337, -15626, -20915, -26204?\nAnswer: -31493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -69, -32, 41, 162, 343?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -499 divided by -499?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*k**3 - 9165*k**2 + 216018*k - 94200 = 0. What is k?\nAnswer: 4\/9, 25, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 20\/21 (c) -0.1 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkkkkkookkk. Give prob of sequence ok.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2162 and 28.605.\nAnswer: 28.3888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*t + 21*t**3 + 270*t.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 997, 2669, 4389, 6157, 7973?\nAnswer: 9837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s. Suppose -v + 0*v + 11 = s. What is the smallest common multiple of v and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -58*k + 2142. Does 26 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 7*m**2 - 11*m - 2. Let t be c(4). Suppose t*s - 152 = -142. Solve s*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1 - 21\/24) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o + 40. Let r be w(3). What is the greatest common factor of 284 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 200\/(-12)*(-4 + (-8)\/16). Solve -71*y - 8 = -a*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*o + 139 = 0, -2*c + o = -5*c + 215. Suppose -3*w = -5*w + c. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 - k - 4*k**2 + 2*k**2)*(89*k - 1543 + 1543)*(-3*k + 0*k + 5*k) in the form q*k**2 + g + w*k + z*k**3 + p*k**4 and give z.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/11, -5, -4, 2 in descending order.\nAnswer: 2, 10\/11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223091\/5684 + -3\/2842. Let u = j - -801\/20. Which is the third biggest value? (a) 2 (b) 1 (c) -2\/5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 2\/567 (c) 9 (d) -4 (e) -2.2 (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199514*b**3*q - 80*b**2*q - 354*b*q + 4*q wrt b?\nAnswer: -1197084*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 528, -5, -87, -4 in descending order.\nAnswer: 528, -2, -4, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89312625 - 89312613.0000049. Let b = 12 - s. Round b to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3814395 and -73\/1560?\nAnswer: 30515160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.6? (a) 11327 (b) -1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37430045.\nAnswer: 5, 7486009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (sqrt(90)*3)\/sqrt(10))\/((sqrt(363)*1 - sqrt(363)) + sqrt(363) + sqrt(363)).\nAnswer: -sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 u, and 1 t when four letters picked without replacement from {t: 1, a: 3, u: 4}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 3, 49, -0.5?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81\/22 - 7\/2. Which is the closest to z? (a) -4\/3 (b) 1\/2 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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: What is 485 minutes before 10:33 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(272))\/sqrt(8))\/(sqrt(22)\/(sqrt(11) + ((sqrt(275) - 1*sqrt(275)) + sqrt(275) - sqrt(275)))) + 1.\nAnswer: -3*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, m: 2, e: 1, s: 3, a: 4}. Give prob of picking 1 m, 2 s, and 1 c.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009547 rounded to four dps?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + s + 6 - 6)*(4*s - 3*s + s + (-s + 3 - 3)*(-4 + 2 + 1)).\nAnswer: -12*s**4 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**5*t*t)*t)\/t)**(11\/6)*(t\/t**(-3\/2))\/t*(t*t**2*t)\/t)**(-1\/7) assuming t is positive.\nAnswer: t**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*f + 3 - 292*f**2 + 1 - 169*f.\nAnswer: -292*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104326582.5 nanoseconds to weeks.\nAnswer: 0.00000017249765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14248600 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyyyyyiiyyiiiiyyiyii. Give prob of sequence iy.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7648 and 82216.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 990?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4228, 8457, 12688, 16921, 21156, 25393, 29632?\n\"Answer: d**2 + 4226*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19481577?\nAnswer: 3, 97, 66947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7973572?\nAnswer: 2, 31, 64303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.5133 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16376 and 690.\nAnswer: 245640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8469 and 0.4?\nAnswer: -3387.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194109257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19120*k - 5610 = -18865*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*f - 44*f = 291059. What are the prime factors of f?\nAnswer: 31, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/33 and 40\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22\/(-33) + 250\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*h + 29325, -29305 = -5*h - 91*a + 93*a. Calculate the highest common divisor of h and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990317.8 rounded to the nearest 10000?\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 = -13. Suppose 0 = -7*b + 3*b + u. Calculate the remainder when 3 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-32) - 7\/(112\/14225594). Round r to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g - 6 + 19 - 2*g. Let d(k) = k**3 - 28*k**2 - 88*k - 152. Let n be d(31). Calculate c(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1102 - 1080. What is the greatest common factor of 6 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from kspssammsssms?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-7) - (39\/7 + -8). Suppose 2*g + 3*s + 570 = 3*g, -3*g + l*s + 1686 = 0. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 8*n - 3. Let h be x(9). Let s(a) = -a + 6. Let d be s(h). Suppose 3*r + 6 = -4*w, -4*w + w - 9 = d. Do r and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**2 - 3108*w + 3108*w.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:03 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -15*o + 36. Which is bigger: 18 or o?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7434, 11327, 15220, 19113, 23006?\n\"Answer: 3893*d + 3541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -31609, 4, -1 in increasing order.\nAnswer: -31609, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 37. Differentiate 26 + 18*x**4 - q*x**2 - 14*x**2 + 23*x**2 wrt x.\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**5\/22 + 9*v**4\/44 - 2*v**3\/11 - 15*v**2\/2 - 64. Let q(j) be the second derivative of z(j). Factor q(r).\nAnswer: 6*(r + 2)*(5*r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -737*q**3 + 933 + 105*q**2 + 16*q**2 - 121*q**2 wrt q.\nAnswer: -2211*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36414 - -6523990\nAnswer: 6487576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2143100 (base 5) to base 14\nAnswer: d827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -336*t**3 - 154*t + 1 wrt t.\nAnswer: -2016*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*5\/(-15))\/((2\/(-24))\/(707\/2020)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2962 > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:31 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700.337ml to litres.\nAnswer: 0.700337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2207 + 15423\/7. Find the common denominator of j and -47\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 13799940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m**4 - 6004*m**3 + 516476*m**2 - 128744*m = 0. Calculate m.\nAnswer: 0, 1\/4, 133, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - b**3 - 5*b**3 + 2*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0, -0.09, 1229, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 5*s. Suppose 3*c + 239 = 4*z - s, 0 = -5*z - 2*c + 321. Suppose 37 + z = 5*y. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -671*g**3*l**3 + 26*g**3 + g**2*l*z - 7*g*l - 13*l**3*z + 5*l**2*z wrt l.\nAnswer: -4026*g**3 - 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04283 - -0.0419686. What is m rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276982 divided by 80\nAnswer: 138491\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1118082906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -36*c + 116. Let d be f(3). Calculate the highest common divisor of d and 2168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1430 and 1125080.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4358410 and 16530.\nAnswer: 13075230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 617*f**4\/24 + 631*f**3\/6 - 7*f**2 - 22. Differentiate r(p) wrt p.\nAnswer: 617","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**3 + 2*o**2 - o. Let s be p(1). Let w(l) = -1. Let n(r) = -4 - 2*r - 6 - 12 + 4. Let a(x) = s*w(x) - n(x). What is a(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5*l - 13 = -68, 5*d + 9*l + 56 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -124.9 - -138.99. Let w = -21.62 + b. Let q = w - -7.9. Round q to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109655?\nAnswer: 5, 7, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t + 11*t - 14 + 1 + 93. What are the prime factors of u(18)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30439, 30440, 30441, 30442, 30443, 30444?\nAnswer: 30445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 2*n**3 - 43 - 115 + 83.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**2 - 251*n - 292. Calculate j(-46).\nAnswer: -1442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s + 8. Calculate the remainder when 26 + 4 - (2 + s) is divided by 174\/11 + 36\/198.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 9396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/19*c**5 + 0*c**2 + 0 + 0*c + 0*c**4 + 0*c**3 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16110 and 104178.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 74. Suppose 2*x + m - 117 = -4*m, x = -5*m + w. Calculate the greatest common divisor of x and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 30 = -6. Suppose 4*l + u - m = -0*l, 2*l = -3*u + 8. Which is greater: l or -1\/10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1583 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*s**3 + 29*s - 29*s)*(21 + 45*s - 8 - 13) to m*s**2 + r*s**4 + c + w*s**3 + a*s and give r.\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 64. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*f + 7. Suppose -2*r - 2*w + 168 = 0, r - 2*w = 80 + f. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55*k**2 + 88*k**2 + 101*k**2)*(3*k**2 - 4*k**2 - 2*k**2) to d*k**3 + b + x*k**4 + f*k + h*k**2 and give x.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -7*f**3\/6 - f - 34. Let q(z) = 2*z + 13. Calculate h(q(t)).\nAnswer: -14*t - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-42))\/(1\/(-7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122 - -74) + 140 + (1 - (0 + 10)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let d be 3*-1 - (-3 - m). Suppose -3*q - 2 = -k + d, -3*k + 2*q = -18. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1. Let c(j) = 25 - 48*j**2 - 18*j**2 - 45*j**2 - 24 - 132*j**3. Let x(b) = -2*c(b) - 2*n(b). Find the third derivative of x(q) wrt q.\nAnswer: 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 0 + (-8 - -6). Suppose 3*s - s - 8 = h*l, 1 = -l. Factor 2\/3 - 4\/3*a**3 + 0*a**s - 2\/3*a**4 + 4\/3*a.\nAnswer: -2*(a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 22. Let a be d(-9). Suppose 792 = 17*l - a*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**2 + 0*s**2 - s**2)*(-3*s + s + 3*s) + (2*s**2 + 3 - 3)*(-s + 3*s - 6*s) to the form y + d*s**3 + n*s + z*s**2 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 + -181. Let u = v + -84. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9350.06km?\nAnswer: 9350060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 114*s - 351. Is v(-51) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -5*x**3\/3 + 3*x**2 - x - 1. Let m be 9 + (-7)\/(-7) - (-8)\/(-2). Let h(w) = -6*w**2 + 7*w - 1. Give m*h(q) - 7*j(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.422 in -3, 20, 18, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/8 and -37\/228.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxyxx. Give prob of picking 2 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a decade in months?\nAnswer: 1848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, c: 3, n: 1, h: 8, m: 1}. Give prob of sequence chq.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4.6. Let r = -0.4 - d. Let i = 9 + -14. Put i, r, 0.3 in descending order.\nAnswer: 0.3, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -2 - 0)*-1. Let d(w) = 0*w + h*w - w - 5. Let m be d(-5). Solve k + 2 = -c - 3, -k + 4*c + 15 = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13134813 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1143.\nAnswer: 1\/1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14525927, 29051849, 43577771?\nAnswer: 58103693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(50*o**3 - 50*o**3 + 9*o**5).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 42 - 37 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*q + 408, -d + 4*d + 2*q = 244. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2019 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*j + 125 = 0, 283 - 257 = 2*r + 5*j. Solve 0 = -2*n + a + 4*a + r, -3*n = -3*a - 27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2169 - 0.1348. Let l = -0.09 + q. What is l rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2274 - -2472. What is the remainder when y is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 6. Let v = a - -23. Find the third derivative of 7*g**6 - v*g**3 + 22*g**3 - 8*g**2 wrt g.\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35944525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/59433950 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 239687 and 1412.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 + ((-22)\/9)\/2. Let i(r) = 8*r**2 - 1. What is i(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 8373433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.14 (c) -0.2 (d) 1\/5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 22 = 5*n, 15*n - 12*n + 5*v = 38 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 22 = -5*j, 3*k + 1449*j = 1444*j - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54774 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68917 (base 16) to base 4.\nAnswer: -1220210113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3728, 3789, 3892, 4037, 4224, 4453, 4724?\n\"Answer: 21*c**2 - 2*c + 3709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.886235 rounded to one decimal place?\nAnswer: -32.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, v: 2}. What is prob of sequence hv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 3*o + 15 - o + 0*o. Let r be b(-12). What is the common denominator of -3 and (63\/(-30))\/r*1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 972584220 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2. Let o(q) = -q**2 - q. Let v = -37 - -39. Let j(r) = 8*r**2 + 12*r. Let g(d) = v*j(d) + 24*o(d). Determine g(k(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -22. Let o(j) = 0*j**z + 0*j**2 - 3*j**2. Let h(g) = -5*g**2. Determine h(o(s)).\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2. Let l(p) be the first derivative of 14\/3*p**3 + 0*p**2 + 0*p - 8. What is w(l(m))?\nAnswer: 392*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 170. Let y = z - 23. Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 9. Let q = 4 + -2. Let t(a) = -1 + 2*a + 2*a**2 + a**j + 3*a**q. Give t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1040 (base 5) to base 3\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8 + 0 - 152838*l - 5.\nAnswer: -152838*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f + 12. Let d be (f\/2)\/(9\/(-12)). Let p(z) = z + 7. Let s be p(-5). Solve -s*b = d*r + 12, 5*b - 2*r - 4 = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.363023934 to 3 decimal places.\nAnswer: -0.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30168 and 120984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -11\/18245?\nAnswer: -11\/18245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppg when three letters picked without replacement from pxglpppg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45824 + -27474. List the prime factors of u.\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.32 and -0.8.\nAnswer: -5.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.71881 grams in nanograms?\nAnswer: 53718810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/60 - c**4\/18 - 11*c. Solve b(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 17*o - 125 + 54 as d + w*o and give d.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-360)\/(-162)*(-6)\/(-10). Suppose -6*r - r = 245. Let n = 27 + r. What is the second biggest value in -2, n, i, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q + 4*z + 852 = 0, -2*q = -5*z + 447. Let s = 911 + q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55191729 = 277*f + 2129332. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 209\/19748?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 61478\nAnswer: -5\/61478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than 233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*v + 22*v - 72. What is the tens digit of 22 + (-9)\/(v\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15*h - 4. Give q(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most as big as -2\/2856245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 = 10. Let b = -13 + d. Find the first derivative of b*f**2 + f**2 + 0 + 3 + 0*f**2 wrt f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**2 + 2. Let v(n) = 7*n. Calculate u(v(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10*i + 28. Let s be g(4). Is (2 + (-2 - s))\/((-15)\/(-490)) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(28)*2*4 + sqrt(84)\/sqrt(3)*-6 + -1 + (sqrt(1792) - (0 + (sqrt(1792) + -2 - sqrt(1792)))) + sqrt(1792))**2.\nAnswer: -288*sqrt(7) + 9088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1928.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142014?\nAnswer: 2, 3, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -95, -92, -89, -86?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0. Let m = 14118 + -14117.80002. Let g = m - v. What is g rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**6 + 2180043*j**5 + 4*j**2 - 149*j - 25267.\nAnswer: -360*j**3 + 130802580*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -5.13, -9, 5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, -1, 59, 173, 359, 635, 1019, 1529?\n\"Answer: 3*k**3 + 3*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*a + 2*x - 14, -5*x = -2*a + 1. Suppose 0 = -a*p + 4 - 1. Suppose -p = -k + 1. Solve 0*d = k*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 48.1. Sort -1, k, 0.3.\nAnswer: -1, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 72*q**2 + 0*q + 174*q**2.\nAnswer: 102*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 4*o - 31 + 7, -3*u - 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100011 (base 5) to base 14.\nAnswer: c75b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 11:22 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2 + 311644*g - 623296 = 0.\nAnswer: -155824, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4\/17 + 10*y**3\/17 - 6*y**2\/17 - 10*y\/17 + 8\/17 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -112302203 (base 4) in base 13?\nAnswer: -33647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2560)\/((-4)\/(-12) + 32\/(-24)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s + 4*w + 10 = 0, -s = 4*w - 17. Let c(p) = -61*p - 9 + 60*p + s. Let g(v) = -48*v**2. What is g(c(m))?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182414, -182104, -181794, -181484, -181174, -180864?\nAnswer: -180554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/24*20)\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -71*j - 2. Suppose 3*o + 13 = -x, -2*o = x + 3*x + 12. Let u(g) = -2*g + 6. Let k(l) = -3. Let s(f) = x*u(f) - 2*k(f). What is s(q(h))?\nAnswer: -142*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-5 - -1)) + 7 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285711363?\nAnswer: 3, 7, 1423, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72869 + 72929. Let m(c) = -c**2 - 9*c + 5. What is the remainder when l is divided by m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 22*l = 2*w - 13550, 0 = l - 5. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m + 1. Let s = 60 + -141. Let b = 80 + s. Let l(x) be the third derivative of x**4\/24 - x**3\/6 - 15*x**2. Give b*u(a) - l(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47856019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**3 - 5*u**2 - 6*u + 8. Let a(k) = 174*k + 6*k**3 + 4*k**2 + 198*k - 7 - 558*k + 191*k. Give -5*a(v) - 4*j(v).\nAnswer: -2*v**3 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1317.1 * -1.9.\nAnswer: -2502.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*w**5 - w**4 + 129*w**3 + 2*w**2 - 32697*w wrt w.\nAnswer: 2880*w**2 - 24*w + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6785018 rounded to the nearest 100000?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -339\/43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 38. Suppose d*w = 4*w - 4. Sort w, 0.2, -2\/11 in ascending order.\nAnswer: -2\/11, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(-r**2 - 4*r**2 - 2*r**2)*(r**2 - 5*r**2 + 5*r**2).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from nghwn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291569207.\nAnswer: 103, 1063, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 177, 396, 693, 1062, 1497, 1992, 2541?\nAnswer: 3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5100)\/(-3570))\/(5\/14). Let k be 3\/(3\/4) - 1. Solve 28 = -k*q + 4*n, -q - m = 5*n - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -445 + 409. What is the third biggest value in p, -2, -5\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b + 5 = -f, 0 = -4*b + 2*f + 4. Suppose o - 5*x + 16 = 0, b*o + 35 = 2*x - 0*x. Let y = 15 + o. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 12.7. Suppose -2*y + 202 = -0*y. Let b = y - 710\/7. Put f, -0.1, b in descending order.\nAnswer: f, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9403396*d**2 - 6318465*d**2 + 3577462*d**2.\nAnswer: -12144399*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 = k, -4*q = q + 4*k + 22. Let t be 1\/2*3*q. Is t\/(297\/102 - 3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 18 = -2*d. Let q(n) = 4*n**2 + 8*n - 5. What is the tens digit of q(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**3 + 849*q**2 + 3630*q + 5. Let h(j) = 11*j**3 - 1260*j**2 - 5444*j - 8. Let n(d) = -8*g(d) - 5*h(d). Find the second derivative of n(y) wrt y.\nAnswer: 6*y - 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 20 = -2*i, 0 = 3*k - 6*k - i - 14. Let m = 0.24 - 0.64. Sort 5, k, m.\nAnswer: k, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 105296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -0.3, 3 in descending order.\nAnswer: 3, -2\/27, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 586803.3 nanometers?\nAnswer: 586.8033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 9*h**2 - 6*h - 4. Let g be p(8). Let c = -44 - -52. Suppose 548 = -c*s + g*s. Calculate the remainder when s is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046090 is divided by 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 806\/(-93)*6*(-4)\/16\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4176518194?\nAnswer: 2, 73, 113, 253153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**2\/2 + 29*u - 9. Let h be z(-7). What is the highest common factor of h and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccwwtctcfw. Give prob of sequence ctw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 71*q**2\/2 - 1175*q\/2 - 1247\/2.\nAnswer: -(q - 43)*(q - 29)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327073645 to the power of 1\/3, to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -301*v**5\/5 + 1219*v + 1305. What is the first derivative of m(y) wrt y?\nAnswer: -1204*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8329 is divided by 2753?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c**2 + 7. Suppose 0 = 5*u + 3*n + 45, 2*u + 4*n + 4 = -0*n. Calculate the lowest common multiple of z(0) and (-22)\/(-4) + (-6)\/u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**7\/525 + 61*l**6\/600 - 469*l**5\/100 + 838*l**4\/15 - 1504*l**3\/15 - l**2 + 661. Suppose q(w) = 0. What is w?\nAnswer: -47, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 6*i**2 + 6*i - 6. Let z(f) = -3*f**3 + 11*f**2 + 11*f - 11. Let m(w) = 11*j(w) - 6*z(w). Let k(u) = u**3. Determine -3*k(a) - m(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(3\/117). Let p = -922 - -1026. What is the highest common factor of p and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -27. Let p(v) = h - 90*v + 8 + 96*v. Is 8 a factor of p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:50 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1197 - 3?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2)\/(-1)*5. Let l be 6 - 3 - 4*2. Let v(x) = -3*x**3 - x - 1. Let y be v(-1). Sort l, w, y in increasing order.\nAnswer: l, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 17*u**2 + 15*u + 16. Let b be k(16). Suppose -4*d + f + 36 = b, -f + 5*f = -2*d. Is (-2)\/2 + (d - -30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6435, -7266, -8093, -8916, -9735, -10550?\n\"Answer: 2*l**2 - 837*l - 5600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 10*y**3 - 18*y**2 - 11*y**3.\nAnswer: -y**3 - 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1546 or -1543?\nAnswer: -1543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 27*l = -22*l - 1, -2 = -2*a + 3*l. Let r be 7\/a*(-56)\/(-196). Solve -15 = -0*s + r*s - 3*u, -5*s - 5*u = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 24*d + 53. Calculate a(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -5, 1100 in decreasing order.\nAnswer: 1100, 82, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 190117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 819377 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 8 + -18 + 8 + (10 - 10) + 80.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*p**2 - 2*p**3 + p**3 + 2 + p**4 + 8*p + 49*p**2 - 27*p**2 - 2*p**3 in the form u*p**3 + b + r*p + z*p**4 + h*p**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 338, -0.33, 0.5.\nAnswer: -0.33, 0.5, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3224*g**3 - 1870*g - 90*g**2 + 91*g**2 + 1870*g as f*g**3 + c*g**2 + s*g + q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-115 - -113) + (2 + -1 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -35598 + 17799 + 3886*c + 17799 in the form z*c + g and give z.\nAnswer: 3886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 16) + 4 - -13 - 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 5*k + 3169*k**2 + 4*k.\nAnswer: 3169*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -15*l**2 - 27*l + 2. Let d(f) = -f**2. Determine o(d(c)).\nAnswer: -15*c**4 + 27*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1, -14, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6142576 divided by 767822\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1) - 0\/2. Let x(p) = 3*p**2 + 2*p. Does 8 divide x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001280375 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrk when three letters picked without replacement from bkrkkrrbr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -359*m*r + 2*r - 284 wrt m?\nAnswer: -359*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -425*q - 1341. Does 23 divide t(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1747263 divided by -3.\nAnswer: 582421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 38. What is the lowest common multiple of 24 and s?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + 9*b**2 - 9*b - 5. What is f(5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = 0. Suppose 2*d - 3*t = 3*d + 4, -3*d + 2*t + 21 = a. Solve 4*y = -11 - d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b0 + 22?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/(-42) + 970\/7 + -1.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, 1\/2, 27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -12. Solve -14 = 4*v - j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2846 times 3?\nAnswer: 0.8538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -15975.4 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 915353259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726 = 5*n + 4*g, -5*n - 2*g + 86 = 804. Let k = -111 - n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-one quarters of a second?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 b when four letters picked without replacement from rbrqqrbqrlbqqnulbqqq.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -246 + 84. Let f be 10\/(-3)*(d\/(-12))\/9. Calculate the common denominator of -161\/60 and ((-315)\/(-6))\/(-4 + f).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3578627 and 58570?\nAnswer: 35786270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003704 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 9:26 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-4 - 88) + 0 - (-36 - -22).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*33\/9 + 38505\/8415?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 0, 4*i - 141 = 5*c + 114. Suppose 2*f + 0*f = i. Let h = 55 - f. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256575, 256578, 256581, 256584, 256587?\nAnswer: 256590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 825?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + 45 + -28 - (-1 - 40)) + (-6 - -16)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 9, -14, 4 in ascending order.\nAnswer: -14, -5, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5918d (base 14) in base 6?\nAnswer: -4353025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 15*s - 4. Does 13 divide x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1662 and 85\/2118.\nAnswer: 586686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25344444 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 120. Calculate the greatest common divisor of 60 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**2 + 4*x + 3. Let g be n(-2). Suppose 2*z + g = -11. Let k = 26 + z. Solve p - 4 = 3*a, -6*a + k*a + 4 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.4239 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -4 in descending order.\nAnswer: 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031 and -78?\nAnswer: -2.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -135*u + 134*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.3 - -35.258. Let r = a - 8.958. Is -8 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224 - -222. Let p = 4 + -2. Let i = -1 + 1. What is the nearest to 2 in f, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c**2 - 6*c + 29. Let h(f) = 8*f**2 + 5*f - 35. Let y(a) = 6*h(a) + 7*n(a). What is y(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*u + 3*u + 4, 3*o - 6 = -u. Let v be (-3 + u)\/(3\/(-122)). Let l = v + -60. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*b - 7 = 4, j - 39 = 3*b. Suppose j = 4*h - 5. Calculate the least common multiple of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*u - 22, 0 = -2*u + 3*u + 2. Suppose -g*c - 3*n = -27, -2*c + 3*n + 0*n = 2. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 43 = 3*p, -3*d - 57 = 21854913*p - 21854919*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 1, i: 2, a: 3, t: 3}. What is prob of picking 1 b and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4, 0 = -0*s + 5*s + 2*y - 93. Let n = 39 - 12. Let k = n - s. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -5, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c92 (base 16) in base 14?\nAnswer: -5918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.7 + 2.3. Let x = 35 + -47.9. Let g = x - -7.9. Which is the third smallest value? (a) 0.3 (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 3 - (-12 + 23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6387437 + -3315806. Suppose 0 = 6*l + 348369 + k. Round l to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(3\/5))\/(l*(l**(-17)*l)\/l*l))\/(l\/l**(-18)*(l\/(l\/l**(-1\/12)))\/l) assuming l is positive.\nAnswer: l**(-151\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 437594*m**3 - 6*m - 28085 wrt m.\nAnswer: 2625564*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029000 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10479 - -10431. Is -32 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 2*q**3 + 4*q**2 - 2*q + 4*q - 3. Let t = -223 - -227. Is g(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -829*o**4 + 1267*o**2 - 2.\nAnswer: -19896*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -28, -1408, 2 in ascending order.\nAnswer: -1408, -28, -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-91)\/(-26))\/((-2)\/44). Let r(o) = 10 - o**2 - o**3 - 10*o + 3*o**2 + 12*o**2. Is r(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p - p)*(2 - 2 + p**2)*(-3 + 5 + 0)*(-4 + 0 - 2)*(-1 + 1 - 2).\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddvpvdvp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-16 + 2)*(8260\/160)\/(-59)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 5*x - 16, 14*p + 21 = 19*p + 3*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1 = -4*s. Let t be (4 + -1)*(-24)\/(-18). Suppose -s*o - 22 - 5 = -3*g, g - t = 3*o. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54870 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151\/2 - -76. What is the nearest to 13 in -4\/5, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5594*x + 184272. Calculate i(33).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18744018*m**5 + 1232667*m**2 - 2*m - 3.\nAnswer: 1124641080*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10190 and 48590.\nAnswer: 49513210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.3 - 39.98. Which is smaller: w or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21841195.\nAnswer: 5, 4368239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9450)\/5250)\/(3\/(-20))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/8 + ((-24380)\/80)\/53. Let m(o) = 7*o**3 - 5*o**2 + 2*o - 7. Let g = 7 + -5. Let f(q) = 3*q**3 - 2*q**2 + q - 3. Calculate g*m(i) + w*f(i).\nAnswer: -i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -55. Let a be ((-4)\/1)\/(-1 + 3)*m. Let n(z) = -z**2 - z - 1. Let f(w) = -4*w**2 - 2*w - 4. Let g(p) = a*f(p) + 7*n(p). Calculate g(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 1, 79, -2, 4, 237 in increasing order.\nAnswer: -5, -2, 1, 4, 11, 79, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 1890 + 6401 = 0. List the prime factors of k.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.303 to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84696971?\nAnswer: 23, 43, 85639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 37*k + 31*k - 26. Solve -x + 3*j + 9 = 0, -k*x + 14*j = 12*j + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 679*h + 2928. What is the lowest common multiple of 5 and z(-4)?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*p - 8, 3*q - 6*q + 3*p = 0. Suppose -2*h = 3*x - 12, -h - 15 = q*h. Let k = 3 + -1. Solve -2*z = -4*z - k*m + x, -3*z + 17 = -5*m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 23*u**2 + 12*u - 34. Let s(b) = -36*b**2 - 18*b + 51. Let c(h) = 8*g(h) + 5*s(h). Does 13 divide c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r + 1744 = 490. What is the remainder when r is divided by 6\/9*-6 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let g(z) be the third derivative of -z**5\/12 + 6*z**2. Give g(w(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 53 = -5*w, 6*n + 29 = -5*w + 7*n. Sort 6, 44, -9, w in descending order.\nAnswer: 44, 6, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*-5 - sqrt(272)*-6)*-2 + -4.\nAnswer: -38*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 0. Let y = 0.6 + s. Which is the third biggest value? (a) 5 (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 17*o - 117. Let f be p(7). Solve 0 = 4*i - 4, 14 = 3*u + i - f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/20)\/((-12)\/(-5)). Let m = 0.097 - -0.303. What is the closest to 0 in m, q, -3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.129002697 rounded to four dps?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 1. Let r(h) = h - 3*h + 4*h - h. Let g(n) = -n**3 - n**2 + 1. Let a be g(1). Calculate a*j(b) - r(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose 0 = -4*g - 4*u + 64, r*g - 80 = -5*g - 2*u. Solve -q + g = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223 + 12330322030?\nAnswer: 12330322313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = o + 35, 0*x - 4*o + 29 = x. Let m = 15 - x. Suppose 0 = m*k + 3 - 21. 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 the closest to 4\/21 in 11, -1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbchrrjhtjcct. Give prob of picking 2 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 214*b**3 - 216*b**3 - 37*b**2 - 23 + 5*b**2 - 21*b - 37*b. Calculate m(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.8? (a) -4 (b) -1 (c) -3\/8 (d) -706 (e) 5\/3 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4)*t*t*t*(t*t**5)\/t)\/(t**(2\/7)*(t\/t**(-9))\/t) assuming t is positive.\nAnswer: t**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 9 - 18)*(2*g**4 - 6*g**4 + 2*g**4).\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 22 = -5*w, 4*p + 6 + 7 = -5*w. Suppose q + 1 = -5*m, 4*q - m = 4*m + 21. Let i = -7 + 3. What is the second smallest value in q, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9) - (-14 + 12))\/((-116)\/(-87))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stqqssqq. What is prob of sequence qqs?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -713*v**5*y + 2*v**5 - 71*v**3 - 47*v**2 + 2*v*y - 2*v - 26*y - 5 wrt v.\nAnswer: -42780*v**2*y + 120*v**2 - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/27)\/q**9)**7 assuming q is positive.\nAnswer: q**(-1715\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3193955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*t = -2*t, 0 = 3*t - 3. Calculate the common denominator of 14\/616*3*(-58)\/(-3) and 1*k*13\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*s - 80*s - 26 + 26 + 214*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from jyyggzgyjzg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-28)*((-8)\/36 - 20\/18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*v + 29*o**3 - 2*o**2*v - 3*o**2 + 2*o*v - 40*v + 9 wrt o.\nAnswer: -6*o*v + 174*o - 4*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 6 - 19. Let x be 44\/((-3 + 5)\/(-2)). Let w = -37 - x. Solve b*r + 3 + w = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 2:24 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -4)\/(473\/44 + -10). Suppose -u = 2*p - 1128, n*p - 9*p + 5 = 0. List the prime factors of u.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 20 = -19*l. Let c = 17 + -3. Suppose 0 = s - 2*t + 1, c = s + 3*s + t. Is s <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 - 1188*v + 3704. Let h(q) = -2*q**2 + 792*q - 2468. Let w(r) = -8*h(r) - 5*l(r). Solve w(y) = 0 for y.\nAnswer: -102, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 306259779\/1025 - 298790. What is the common denominator of v and -25\/9?\nAnswer: 9225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/(-186)*(57\/12 + -4). Put -13, 0.06, u, 0.1 in descending order.\nAnswer: u, 0.1, 0.06, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1 + 3*x + 1. Let m = 1 + -4. Let u(j) = -5*j. Let g(h) = 4*h. Let n(z) = m*u(z) - 4*g(z). Give s(n(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-406)\/(-3451) - (-178)\/(-68)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 2\/3 (c) -2 (d) -5.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174*z**3 + z - 6.\nAnswer: 1044*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -53*f + 186. Let d(m) = 158*m - 595. Let w(h) = -4*d(h) - 11*r(h). Determine w(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37884 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 5 + 5 + (5 - 3 - 1)*(-3 + 2 - 1))*(18*m + 17*m - 41*m) to a*m + h and give a.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 57?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 401 - 401. Which is the second smallest value? (a) w (b) -3\/4 (c) 1\/6 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j + 104*j = 98*j - 2205 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -376653, -3013173, -10169433, -24105303, -47080653?\nAnswer: -81355353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 166, 762, 1986, 4054, 7182, 11586, 17482?\nAnswer: 25086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 60115 (b) 3 (c) 1\/4 (d) -6\/11 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176945\/8 + 21921. Let x = z - -196. Calculate the common denominator of x and 43\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1100 - 421 + 1354 - 58)*(m + m - 5*m) to n*m + o and give n.\nAnswer: -5925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*b**2 - 138*b**2 + 3 - 593*b**2 + 4*b**3 - 3 + 892*b**2.\nAnswer: 4*b**3 + 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33110 (base 4) in base 3?\nAnswer: 1100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 1. Let z(f) = -4*f**2 + 4*f + 4. Let w(c) = -5*b(c) - z(c). Is w(3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -7, 9\/5, -2\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -559 - -392. Let y = o - -1413. What is the remainder when y is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411289898.\nAnswer: 2, 613, 335473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68371001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4276*w + 1800*w = 2133*w - 2795*w - 316686 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 12 (b) 2549 (c) -0.8 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2 (c) -6 (d) 0.0463\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12497, 12475, 12433, 12371, 12289, 12187?\n\"Answer: -10*x**2 + 8*x + 12499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-p + 2*p + 0*p)*(5 - 1 - 5) - 32*p - 46*p + 32*p)*(0 - 2 + 3)*(1 + 1 - 1)*(1 + 4 - 4)*(1 + 2 - 2*p + 0) in the form n*p + a*p**2 + v and give n.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5191672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express v + v**4 + v + 1 + 3 - 5 as x*v**4 + w*v**3 + g*v + o + h*v**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.84 + 0.05. Let s = -0.26 + o. Let x = 0.6364 - s. Round x to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 323, 895, 1761?\n\"Answer: 147*x**2 - 163*x + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - (sqrt(209) - 2*(sqrt(209) - (sqrt(209) + (sqrt(209)*1 - sqrt(209))))) - sqrt(209))*-3)\/(sqrt(704) - -4*(1*sqrt(704) + sqrt(704))))**2.\nAnswer: 19\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 10*p - 6. Let z be u(-9). What is the units digit of 145\/z - (-6)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 r be (-138)\/(-897) + 5\/((-195)\/84). Let w(a) = 7*a + 6. What is w(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((0 - 8) + -45 + 52)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 656113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -48. What is the highest common divisor of g and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 - 3*j - 5. Let q = -16 + 30. Let x = 8 - q. Let v be o(x). Solve 4*k - 7 - v = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*g**3 + 20*g**2 - 373*g**3 - 19*g**2.\nAnswer: -48*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**4 - 8 + g**3 - 9 + 116*g**2 - 6*g**3 - 115*g**2 to the form r*g**4 + t + p*g**2 + z*g + l*g**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + q = 99, d + q - 18 = 6. Let j(x) = -3*x**3 - 161*x**2 - 822*x + 32. Calculate the remainder when j(-48) is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 3. Determine o(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 0*v**3 + v**3)*(-v**2 - 10*v**2 + 6*v**2) - v**5 + 3*v - v**5 + 0*v**5.\nAnswer: -7*v**5 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98.89 + 0.19. Let n = x + 99. Let w = 0.45 + -0.05. What is the closest to 2 in n, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.39859 and -1.\nAnswer: 0.39859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 - 13. Let v = 18 + j. Let i(k) = k**2 - 2*k - 3. What are the prime factors of i(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - 3*t + t)*(0*t**2 - 6*t**2 + 2*t**2) + 1784*t**3 - 561*t**3 - 851*t**3 + t**2 to the form g*t**2 + c*t + j + q*t**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1190 * 0.5.\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 14. Let d(p) = -4*p + a - 18 + 5*p. Let c = -4 - -9. Calculate d(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-3*1)\/(sqrt(72)*-4*6).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -135279 minus 72974132?\nAnswer: -73109411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000141 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t**3 + 12*t - 11. Let i be f(1). Solve -i*s = -9*s + 3*p, 2*s - 3*p + 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38789274 to the power of 1\/2, to the nearest integer?\nAnswer: 6228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 343212 + -1?\nAnswer: 343211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 660478 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102311 (base 4) to base 6.\nAnswer: 5325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*x + 46 + 148, -836 = 4*l + x. Let j = l + 389. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*26\/1235 - 478872\/(-38)?\nAnswer: 2, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x - 377*x + 236*x = 6688 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.315 - -0.42. Let c = h + -0.13. Let y = 8.075 - c. Round y to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -141328.3 from 419.3.\nAnswer: 141747.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -11. What is the second derivative of j*x**2 + 4*x + 4*x**2 - 2*x**2 - 3*x**2 wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 9 - 29*q + 22*q with respect to q.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Suppose -j*w - 6 = 8. Let n be 5\/2*(-3 + 5). Let p(l) = 6*l**2 + 3*l - 10. Let k(g) = 4*g**2 + 2*g - 7. Give n*p(u) + w*k(u).\nAnswer: 2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 86 (b) 0.07 (c) 0 (d) 2\/7 (e) -0.4 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9126641 to the nearest integer?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*n + 77*n + 44*n + 111*n in the form k + w*n and give w.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 40 = -23*t. Let k be (0 + 4\/8)*t. Suppose 9*d + 70 = 4*d. Put -4, d, k, 1 in increasing order.\nAnswer: d, -4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 19 - 29 = 0. Let z be (-2 - n)\/((-1)\/104000). What is z rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2505 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: -1 - (-8 - (5 + -5) - (-52 + 8 + 3))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - c - 2. Let z(a) be the first derivative of -a**3\/3 + a**2\/2 + 3*a - 57. Give -3*g(i) - 2*z(i).\nAnswer: -4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 321*r - 44824. Calculate k(148).\nAnswer: 2684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 711263533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -43*h - 1. Let d be y(-2). Let z = d + -241\/4. Find the common denominator of z and -4 - ((-42)\/(-10) - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**4\/4 + 5*s**3\/6 - 2*s**2 - 6*s. What are the prime factors of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19024 in -3\/4, 44, 3, 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**5 + 419*x**4 + 3075*x**3 + 6625*x**2 + 2801*x - 1164 = 0.\nAnswer: -97, -4, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) 1\/8 (b) 0.3 (c) -212\/13 (d) -0.02 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -264, -823, -1\/7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-12)\/(-124)) - -1. Is (-100)\/(-6) - (-20)\/t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 25*n**2 + 59*n - 299. What is the remainder when r(5) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*g = -11, 2*g = -5*h - 1 - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 21. Let y = m + -7. Which is the biggest value? (a) -3 (b) 4\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 + 859 - y**2 + y**3 + 15*y**2 - 46.\nAnswer: y**3 + 813","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114303587 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400850395 divided by -5.\nAnswer: 80170079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 6*n - 10. Suppose -n*r = -0*r - 6. Suppose -2*f = -f - r. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -146618400, -146618401, -146618402, -146618403, -146618404?\n\"Answer: -a - 146618399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(17)*-3.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 54*g**2 - 29)*(-g + 2*g**2 + g) + 2 + g**4 - 2 + (0*g**2 + g**3 + 0*g**2)*(g + g + 0*g).\nAnswer: 111*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 902 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1138029 and -1.\nAnswer: 1138029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -18*r + 153. Let q be m(6). Put -9, q, 0 in descending order.\nAnswer: q, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 319?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**3 - 4*m**2 - 5*m - 3. Let f be t(-2). Let a be f\/(-38)*((-132)\/(-9))\/2. Calculate the greatest common factor of a and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 275468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/3 + 3*q - 9274. Let u(m) = 792*m - 40. Let x(j) = -61*j + 3. Let s(d) = -3*u(d) - 40*x(d). What is y(s(a))?\nAnswer: -16384*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 59.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6522 and 836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a micrometer in nanometers?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 361 - 256. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(-102)\/(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6966852*f*j**2 - 30731613*f*j - 46*j**2 - 2*j wrt j.\nAnswer: 13933704*f - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20150 = -37*i + 32*i. Is (-2)\/12 - i\/(-60) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**5\/7 + 465648*p**4\/7 - 18064347912*p**3\/7 - 361426664640*p**2\/7 - 1807366177200*p\/7 = 0.\nAnswer: -10, 0, 77618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1.265 (b) -0.7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**6\/120 - p**5\/10 - 7*p**4\/12 - 4*p**3\/3 + 25*p**2. Calculate the smallest common multiple of 168 and u(8).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.3. Let x = u + -0.3. Let v(z) = z**3 + 4*z**2 - 7*z - 6. Let d be v(-5). Put d, x, 3 in descending order.\nAnswer: d, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 417\/8 - 461\/8. What is the third smallest value in q, 3, 2\/11, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -79. Find the second derivative of -f**2 + 8*f + 36*f**b + f**2 + 2*f**3 wrt f.\nAnswer: 228*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q**3 - 51*q**2 + 32*q + 71. Let r(z) = 7*z**3 + 25*z**2 - 16*z - 35. Let d(s) = 5*r(s) + 3*w(s). Is d(-29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 98?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 bigger than 157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*4\/9*12. Let t be (-41)\/(-4) + (-8)\/h. What is the highest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 133654.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0 - (56 + -57)) + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48338095?\nAnswer: 5, 13, 37, 101, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 48 = -4*u + 24, -u - 5*q = -36. Suppose -4*x - t = -0*t - 168, 42 = x + 5*t. Let d = 74 - x. What is the greatest common factor of u and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 335*z - 3*z**2 + 332*z - 667*z.\nAnswer: 3*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -157\/6261 (b) 4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 12*y + 7. Let n be i(-6). Suppose w + 0*w + n*w = 0. Let v be (3 - 2)*-1 + 26. Solve -v = -5*c - 5*t, 3*c + w*c - 14 = -2*t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8856 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t**(1\/4)*t*t)\/t)\/t)**12*(t**3)**(10\/9))**(-34) assuming t is positive.\nAnswer: t**(-1870\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/45 and ((-6)\/(-4))\/((-111)\/(-12) - -2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0147041 rounded to five dps?\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(48)\/sqrt(2))\/((sqrt(96)\/sqrt(2))\/sqrt(6)) + (sqrt(21)\/(2*sqrt(7)*5))**2*1.\nAnswer: -2*sqrt(3) + 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 - 18*u**2)*(23 + 6 - 7)*(4*u**2 - 4*u**2 + 2 - 6*u**2).\nAnswer: 2376*u**4 - 792*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4420250951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -16. Suppose 5*d - 15 = -0. Solve -d - o = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/8)*g**(2\/41))\/(g**(-2\/41)*g*g\/(g\/g**(13\/4))*g) assuming g is positive.\nAnswer: g**(-1731\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18474176 divided by 377024\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 - 119.44. Are u and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4268807 to the nearest integer?\nAnswer: 2066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5631.576 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*a - 218, 3*n - 5*a = 5*n - 183. Let x = -519\/5 + n. Sort 3, -3\/2, x, 3\/11.\nAnswer: -3\/2, x, 3\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2526 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4535 = -5*c + 701, -5*c - 4795 = 5*i. Let p = -769 - i. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5063*t = 5402*t + 15933 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 696393*k**2 + 3*k - 696393 = 0 for k.\nAnswer: -1, 1, 232131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:36 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 140*a - 6443. Let u be i(46). Let d = -2 + 0. Is 659\/((u - 0)*d\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446545643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 7*c + 26. Let y(m) = m**2 - 27*m + 176. Let b be y(15). Calculate w(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 18906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133535 is divided by 16691.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 8036*f + 722656.\nAnswer: -2*(f - 4106)*(f + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10850)\/(-868)*1\/10.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((96\/(-8))\/24)\/(1\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17057 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3\/5, -2, -0.4, -4, 1\/4, -1\/6, -0.3653?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -96. Suppose -4*t - 3*j - 49 = 0, -3*j = -5*t - v + 2. Let r = -6 - t. Solve r*g = 5*x + 21, 25 = -2*g + 7*g - 5*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101249600 rounded to the nearest 100000?\nAnswer: 101200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.07393\nAnswer: -0.022179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 6*w**2 + 9*w + 15. Let a be s(-5). Let x(h) = 3*h**2 + 13*h - 8. Let m be x(a). Solve -3*v = -5*v - 4, m*p - v - 8 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 57.05?\nAnswer: -285.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let b(d) = -18*d**2 + 6*d + 6. Let y(l) = -37*l**2 + 13*l + 13. Suppose 12*w - 9*w + 39 = 0. Let g(j) = w*b(j) + 6*y(j). Calculate g(o(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (70\/21)\/(7\/((-63)\/(-6)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5134818 is divided by 1424.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let t(n) = 2*n. Let g(y) = 6*t(y) - 13*u(y). Let d(q) = 8*q**2 + 175195*q - 350373*q + 175183*q. Determine g(d(z)).\nAnswer: -8*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/58007 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143872515629\/10860876 + 8\/301691. Let c = 13249 - a. Calculate the common denominator of c and -89\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912671971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 38*s + 27. Let z be l(-12). Let w = -1\/6 + -7\/30. Let x = -10.5 + 6.5. Which is the second smallest value? (a) w (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4*h + h)*((0*h + 0*h + 2*h**3)*(-44 + 10 + 9) + 303*h - 303*h + 26*h**3).\nAnswer: 48*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/77 - 26\/22)*1. Which is the smallest value? (a) 1\/8 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fvfffffvfffvfff?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 120407, 240946, 361485, 482024, 602563?\n\"Answer: 120539*o - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120120556*s**5 - 2*s**2 + 494*s + 161798 wrt s?\nAnswer: -7207233360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/5 - (-3048)\/60. Calculate the greatest common factor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10387)\/(-17) + -1 + 1 + -3. Let b = 361 - k. Let l = 385 + b. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1914 + 229*t**2 - 353*t**2 - 2006 + 3920.\nAnswer: -124*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 2846*n + 2844.\nAnswer: 2*(n - 1422)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = -2*n - 75600, 5*i - 3*n - 126000 = 0. Let f = 15 + -8. Suppose 10*m + i = f*m. What is m rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*g + 3*f + 15, 2*f - 165 = -5*g. Calculate the remainder when g is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*d = 0, 674*x + 1 = 677*x + 4*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -8, -4*z + 0 = 3*l + 1. Suppose -3*u - 2*b + 11796 = 2793, -l*b = -15. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 185\/2*r - 1\/4*r**3 + 371\/4*r**2 = 0. Calculate r.\nAnswer: 0, 1, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6417.2 - -2695507\nAnswer: 2701924.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0035659826 from 0.0605235.\nAnswer: 0.0640894826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 480540, -7\/4 in increasing order.\nAnswer: -7\/4, -1, 480540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 83?\nAnswer: 5395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*o - 149 = -58 + 416 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6217458627 from 7967.\nAnswer: -6217450660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -763 + 761.4492. What is x rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*n**2 - 25*m - 2*n**2 + 26 with respect to m.\nAnswer: -n**2 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -341650323 + 14?\nAnswer: -341650307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.93 + 15. What is the third smallest value in -0.2, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) + 140\/30. What is the third derivative of 2*w**5 + 5*w**2 - 2*w**2 - 11 - 33*w**g - 2*w**2 wrt w?\nAnswer: 120*w**2 - 792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (220 - 227 + 99 - d)*(4*d - 6*d + 3*d)*(-19*d + 0*d - 2*d).\nAnswer: 21*d**3 - 1932*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 74 (b) 4\/9 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1994 = -21*g + 6070. Let x = 310 + g. Is 32 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3150000 = 3*w - 10*g + 5*g, 2*w - 2*g = -2100000. Round w to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k. Let g(j) be the first derivative of 4*j**3\/3 - j - 1. Let w(f) be the first derivative of g(f). Give w(v(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**4\/14 + 2*d**3\/21 + d**2\/7 - 2*d\/7 + 21. Let k(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -445, -887, -1329, -1771, -2213?\n\"Answer: -442*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(13) - 2*(sqrt(208))**2) + -4 - -2*4*(sqrt(13) + sqrt(13) + 3)*-2.\nAnswer: -468 - 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/11))\/i)**(-2\/9) assuming i is positive.\nAnswer: i**(-4\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.155378 less than 5?\nAnswer: 4.844622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.3 - -2.3. Let i = 67 + -39. Let n = i + y. Sort n, -5, -0.5.\nAnswer: -5, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 4:26 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o**4 + 0*o + (-11 - 13 - 14)*(6*o**4 - 2*o**4 - 3*o**4))*(-29*o + o - 57*o).\nAnswer: 3315*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) - (2 - 44\/8). Solve -c*w + 4 = -4*g, 0 = -4*g - 2*w - 5 + 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, -492, -491, -490, -489, -488?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2687513, -5375049, -8062611, -10750199, -13437813?\n\"Answer: -13*i**2 - 2687497*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -408 divided by -102\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**14*a)*a*a)\/a**(-3\/5))\/((a*a**(-35))\/a*a*a**(1\/22)\/a) assuming a is positive.\nAnswer: a**(2591\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14634013 and 2725?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 505*r + 21103. Give c(-42).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-3*sqrt(350)*-5)\/(sqrt(847)*-1 + sqrt(847) - sqrt(7)))*-5)**2.\nAnswer: -11250*sqrt(2) + 281475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:19 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/49)\/(9\/35) - (31 + -35).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2102, 8498, 19068, 33812, 52730?\n\"Answer: 2087*z**2 + 135*z - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 2*u**7\/525 - u**6\/60 + u**5\/75 + 15*u**2\/2 - 10. Let k(o) be the second derivative of x(o). Let k(t) = 0. Calculate t.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiqxixom. What is prob of sequence mix?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-510)\/(-918)*-4*1*36\/(-88). What is s in 12\/11*s**2 - 8\/11*s**5 + 46\/11*s**3 + 0*s - i*s**4 + 0 = 0?\nAnswer: -3, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -7 (b) -3 (c) -210\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 28184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/417 + 5413\/1668. Find the common denominator of w and -55\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2193b - 11?\nAnswer: 2192a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 15*s - 15. Let a be u(-6). Suppose -3*w + 18 = a*w. Solve 2*x = -w*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*5\/50?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 5393*o**2 - 16 + 2697*o**2 + 2698*o**2.\nAnswer: 2*o**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*l + 14861 + 2059 + 1765 + 4223 = 0 for l.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((2 + -1)\/(-1)). Let h(w) = 2*w. Let m be h(f). Factor m*g + 3*g**4 + 5*g**2 - g + 8*g**3 - g**3.\nAnswer: g*(g + 1)**2*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**5*r*r*r))\/r**(2\/11)*(r\/(r**(2\/3)\/r))**47*(r**(-1\/4))**(-4\/3)*(r\/r**1)**(-21\/4) assuming r is positive.\nAnswer: r**(625\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4458409 litres?\nAnswer: 445.8409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/2 - 5*b**3\/3 - b**2 - b. Let c be x(-2). Let i be 3\/(-9) + (-74)\/c + -1. Solve i = 3*t - 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m**3 - 2*m**2 + 2*m - 1. Let u be k(1). Suppose 0*j - u = -5*j. Suppose j*s + 56 = 6*s. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 + 26*i**2 + 548*i - 4088. Give l(7).\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/3 - 8*p**4 + 68*p**3\/3 - 8*p**2 - 70*p\/3 + 16 = 0.\nAnswer: -1, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - l**2 + l**2)*(-13*l**2 - 5*l**2 - l**2)*(-l + l - 3*l).\nAnswer: -114*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 389793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/(-2) + 6\/(-3). Suppose 0 = -5*m + 4*m + 104. Calculate the greatest common divisor of k and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1026704*m**2*r**2 - 19*m*r**2 + 4*m*r + m + 2*r**2 + 97*r wrt m.\nAnswer: 2053408*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.556 take away -0.416?\nAnswer: 2.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= 3914259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 143921*z**5\/30 + 3*z**4\/8 - z**3\/6 - 4*z**2. Let r be c(-7). Let d = 5004194 - r. Round d to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 9*g)*(12 + 3 + 11) + 2*g - 2*g + 2*g.\nAnswer: -232*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -6*v**6\/5 + 15*v**2\/2 - 15*v - 61. Let i(g) be the first derivative of d(g). Differentiate i(t) with respect to t.\nAnswer: -144*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let i(u) = -3*u**2. Let a(k) = -k**2 - k - 2. Let x be a(0). Let c(s) = x*i(s) + 3*b(s). Let w(g) = -g. What is c(w(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.069.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*g - 6*g + 3*g)*((10 + 10 - 10)*(-2*g - 4*g + 5*g) + 3 - 3 + g).\nAnswer: 333*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 278, 546, 818, 1094?\n\"Answer: 2*m**2 + 262*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 4*y + 161 - 403 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:11 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/12 + (27 - 24))*(-6)\/40. Let i = 236 + -1655\/7. Put 0.2, 2, i, b in increasing order.\nAnswer: i, 0.2, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5550?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40742.\nAnswer: 2, 13, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 6*z = -46, 3*y + 2*z + 1474297 = 1474290 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-27 - (-17 + -16))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 444, 0, -2\/31, 8\/5, 1 in descending order.\nAnswer: 444, 8\/5, 1, 0, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/6 - 2449205*f**2\/3 - 9796817*f\/6 - 2449204\/3 = 0. What is f?\nAnswer: -4898408, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*y = 33 + 25, -2*f = 3*y - 57. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16989899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1 (c) 5 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/26 + 71\/494. Let h(o) = 2*o**3 - 64*o**2 - 68*o + 61. Let z be h(33). Put m, 216, z, 1\/6 in descending order.\nAnswer: 216, 1\/6, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-7) - (15423\/371 + -48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.17 + -3.17. Let h = -22.92 + 20.9. Let w = -0.02 - h. What is the nearest to w in -3\/5, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -183. Suppose 24 = 5*a - c. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + w)*(1593*w + 10*w**2 - 1593*w) + w**3 - 5*w**3 + 5*w**3 + (-6*w + 2*w + 2*w)*(w**2 + 6*w**2 - 4*w**2).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = 2 - 28 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20185 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:23 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 681*h - 2004. Is 42 a factor of x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-1 - 1\/(-1)). Let w = 157 - 155. Let a = w + k. Let g(f) = -f**3 + f + 1. Let m(o) = 2*o**3 + o**2 - 4*o - 3. Calculate a*g(z) - m(z).\nAnswer: z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 = -11*q + 4*j, -148*q - 4*j = -134*q - 226 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68 + -225?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21311201 + 101?\nAnswer: 21311302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -709 or -4958\/7?\nAnswer: -709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d - 18*d - 6*d + 26*d.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 164 = -2*b, 4*b + 3*p - 325 = 4*p. Let s = 93 - b. Let n be 2*(3*1 - 0). Solve -n = w - 2*z, 3*w - 2*z = z - s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*n + 8 = 4*g, 13 = -n - 3*g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11797241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**5 + 26906*p**4 + 749*p**3 + 2044858*p + 2?\nAnswer: 20*p**3 + 322872*p**2 + 4494*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/26 + (-786)\/(-78). Suppose -k + 3*k = 3904. What are the prime factors of 4\/o - (4 + k\/(-20))?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195741841 minus -86.794?\nAnswer: 195741927.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -118, -192, -284, -400, -546, -728, -952?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 3*p - 6. Let h(l) = -l**2 - 7*l - 6. Let x be h(-4). Let v be k(x). Let m = -5 - -21. What is the greatest common factor of m and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/45)\/(-5*(-6)\/(-45))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:48 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 12 = 11*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) -27\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14*f**2 + 2*f - 5. Let s(z) = 42*z**2 - 6*z + 14. What is 11*p(c) + 4*s(c)?\nAnswer: 14*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 7.\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125242740 to the power of 1\/3, to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-3 + (-12)\/(-4)). Suppose i = -2*z - 2*z + 156. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 66*p - 64.\nAnswer: -2*(p + 1)*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*c + 567 - 529 = 0. Calculate the greatest common divisor of c and 223.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/12*-3)\/(2\/(-71)). Let h = y + -45. Suppose h*t = 28*t - 20. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 319269 and 84101634.\nAnswer: 10299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 147*k + 2117. Let a be x(-54). Let v be 5\/3*(-2 + -1). Put 0, v, a, 2 in descending order.\nAnswer: a, 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.136. Let p = k + -9.036. Let r = 2 + -2.4. Sort r, p, 0.2 in decreasing order.\nAnswer: 0.2, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -411*l**2 - 35*l**2 + 907*l**4 + 180*l**3 - 180*l**3 wrt l.\nAnswer: 21768*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*2)\/sqrt(12) - 1*sqrt(504))\/(4*(sqrt(175) + sqrt(175) + (sqrt(175) - sqrt(175)*1))*6).\nAnswer: -sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -5. Calculate the remainder when 28 + n + (0 - 1) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -647.2 - -647. What is the smallest value in 1\/2, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + 50. Let m = k - 74.2. Round m to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 4033*i - 102876. Determine l(26).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -315579\nAnswer: -2840211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/756 and -121\/378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 - 763740260*i\/7 - 72912398093108450\/7.\nAnswer: -2*(i + 190935065)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12253.\nAnswer: 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10971 * -0.2497.\nAnswer: 2739.4587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1586977721 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40343 (base 5) to base 15\nAnswer: -b83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 71.45?\nAnswer: 1.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-10)\/8*(-22)\/(-55).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 36 + 4 = 0. Let m(y) be the second derivative of y**4\/12 + y**3\/3 + y. Calculate the smallest common multiple of m(i) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 14051336.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least as big as 48.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 + 6*a**2 + 3*a - 7. Determine t(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -31*v**2 - 8*v + 9. Let r(s) = 93*s**2 + 23*s - 25. Let p(a) = -17*i(a) - 6*r(a). Differentiate p(u) with respect to u.\nAnswer: -62*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2624*l**2 - 657*l**2 + 963*l**2.\nAnswer: 2930*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7592.94 + 23369.\nAnswer: 15776.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/3 + 5*k**4 - 25*k**3 + 125*k**2\/3.\nAnswer: -k**2*(k - 5)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3522598*u*w**3 - 233604*u*w**2 + 7*u*w + 2*u + w**2 - 2*w wrt w.\nAnswer: -21135588*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**4 + s**3 - 3696*s**2 - 2*s + 5181 wrt s?\nAnswer: 36*s**2 + 6*s - 7392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 480096 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5345 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 35\/82 (b) 0.4 (c) 8\/7 (d) -2\/9 (e) -0.09 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = -5. Let u = -411 - -413. Suppose 0 = f + a - u. Let v(j) = 5*j**2 + j - 1. What is v(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89255.664us to hours.\nAnswer: 0.00002479324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14046*w + 7023*w + 7023*w - 17*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = 0, -4*b + 35 = -b - 5*u. Suppose -b*n + 8*n = -6. Solve -j = -3*j - 4, 2*j + 4 = -n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 138.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 8 = 18*d. Solve d = 3*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c**2 + 3*c - 13. Let v = -8 + 11. Suppose 0 = -5*f - v + 23. Is a(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 44*v - 5. Give b(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 6*f + 0*f + (2*f - 2 + 2)*(4 + 0 - 3) - 2*f + 3*f - 2*f + (-3*f + f + f)*(5 + 2 - 4) + (-3 - 2*f + 3)*(7 - 2 - 2) to the form h + r*f and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 737577611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*c + 0*c = 76, -2*c = i - 12. Let b be i\/55 + 446\/10. Round b to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 21 - 3 = 0. Let b = 5 + z. Let v be (-15)\/b*(1 + 0). Solve -4*u - v = 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -35 + (1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012138935 rounded to 5 dps?\nAnswer: -0.01214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*g**3 + 9 - 270*g**3 - 278*g**3.\nAnswer: 17*g**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(396).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*v + 3000 = -52*v. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 9*d**2 - 23*d - 5. List the prime factors of k(-23).\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3200020310110 - 11?\nAnswer: -3200020310121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (772 + -768)\/(8\/(-22))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-6))\/((-35)\/75 - (-12)\/15).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times 0.032?\nAnswer: -0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let n(v) = -2*v. Let k(d) = 6*g(d) + 2*n(d). Suppose r = -3*r. Let u(y) = 0*y - 3*y - y + r*y. What is u(k(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -2\/3, -0.04, 43\/6?\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12*(-2)\/(-9))\/(26\/6201)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*b + b + 75*b)*(3 - 1 - 1) + 2*b - 1 + 1 - 3 + 3 - 2*b + (0 + 0 - b)*(0 + 4 - 2).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6048818*p**2 - 3024467*p**2 - 3024555*p**2.\nAnswer: -204*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/2 - f\/2 - 3 = 0. What is f?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 23. Suppose u - 29 = -5*y + y, 3*y = u + 6. Let x be z(u). Let t = -3 + 1. Sort -3, t, x in ascending order.\nAnswer: x, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*a - 463 - 455. Suppose 46*o + 16 = a*o. Solve l + 8 = 3*x, -5*x - 3*l - o*l = -40 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*x - 859 + 2755. Calculate the lowest common multiple of x and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4182532.\nAnswer: 2, 1045633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 194721, 390098, 585475, 780852, 976229, 1171606?\n\"Answer: 195377*l - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -354 - -890. Let s be ((25\/10)\/5)\/(4\/b). Let o = s + 74. What are the prime factors of o?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 466\/7 greater than -1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-155)\/(-3) - (-4)\/((-12)\/5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -157 - 2*l**2 + 4*l**2 - 2*l + 155 - 3*l**2 + l**2 + l**2 + (-4*l + 2*l + 3*l)*(2 + 2*l - 2).\nAnswer: 3*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 104928864 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) + 526\/6. Let c(y) = y**2 + y. Let g be c(-3). Suppose 7*r - g*r - 11 = 0. Calculate the greatest common divisor of m and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86073, 344417, 775033, 1377921, 2153081, 3100513?\n\"Answer: 86136*f**2 - 64*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 5*w + 4 + 12, -3*w + 33 = 5*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 h when three letters picked without replacement from {h: 2, u: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 10. Suppose m*w - 2*h + 18 = 0, 5*w + 5*h = -7 + 17. List the prime factors of w\/12*-4*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3 = 23. Let t be 1*(-5)\/(x - 1). Is t at most 2\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 3, 10, 2, -46 in decreasing order.\nAnswer: 10, 3, 2, 0, -9, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 119643*f - 1555190.\nAnswer: -(f - 119630)*(f - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.6 - 0.1928413.\nAnswer: 18.4071587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3810 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0474 * -715743.\nAnswer: 33926.2182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6594995?\nAnswer: 5, 11, 19, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -11. Let i = 0 + d. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2. Let x(p) = p - 2. Let d be x(7). Let v = 5 + d. Let c(f) = v*f - 3*f - 9*f. Determine c(k(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31679*q - 63370*q + 31691*q + 4222*q**2.\nAnswer: 4222*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-33) - (-16)\/(-88). What is the nearest to -1\/6 in -1, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 46*i - 87. Determine x(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + 78 + -74?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8*-66.\nAnswer: -184.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020476 to five dps.\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9742494 and 510.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 2. Let k(d) = -118*d + 34. Let t(a) = 6*i(a) + k(a). Differentiate t(x) wrt x.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -37, -4, 3 in ascending order.\nAnswer: -37, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 30 = -h. Let n = h - 5. Suppose -n*u + 29 = -36. Calculate the remainder when 25 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(68) - sqrt(68)))\/sqrt(4)*4.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 4*v - 132 + 484 = 0, -v + 38 = -2*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*u + 1508 = -10107 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.6 - -1.6000005. What is l rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351056221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -131792 take away -0.37548?\nAnswer: -131791.62452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 6*l**3 + 5979 + 4*l**3 - 5989 to the form j + z*l**2 + m*l**3 + w*l and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*h**3 - 4 + 83*h - 2 - 85*h + 4.\nAnswer: 53*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.9657 millilitres to litres.\nAnswer: 0.2559657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 19087*l**3 - 99.\nAnswer: -19087*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -317777?\nAnswer: 4\/317777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 319235, 319167, 319055, 318899, 318699, 318455?\n\"Answer: -22*j**2 - 2*j + 319259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3343 + -3338. Solve 2 = -5*g + l + l, 2*g = -t*l - 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z = -167*z + 351*z + 372*z - 610 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p + 3. Determine w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.3 - -11. Which is the nearest to 0.1? (a) 1\/4 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506 and 1380.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 32, 1, -14.\nAnswer: -14, -5, -3, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*120\/(-64))\/(-9)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 2)*(0*b + 0*b + 3*b) - 2*b + 0*b + 18*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/50)\/(((-90)\/(-75))\/3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13874 + 138823\/10. Find the common denominator of v and 2\/(-4) + (-94)\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 27 + 32 = 5*v, -4*x + 10 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-77) - (-752)\/22. What is the highest common factor of 68 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501102.\nAnswer: 2, 3, 7, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 7*d + 5. Let b be k(1). Let l be 1\/b + 13 - 1. What is the highest common factor of l and 308?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*l + 38, -5*x - l + 0*l + 32 = 0. Suppose -2*g - 8 = -x*g, 5*g = 5*f - 25. Is 347\/3 - (3 - f\/3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -131*y**2 + 2. Let r(z) = 3198*z. Calculate r(t(v)).\nAnswer: -418938*v**2 + 6396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -40, -74, -128, -208, -320, -470, -664?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by 32.\nAnswer: 87\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -7, -12?\n\"Answer: -5*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841321, -841915, -842509?\nAnswer: -843103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 202, 820, 1856, 3316, 5206?\n\"Answer: g**3 + 203*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 5*i + 10, 3*i = q. Suppose t + 1 = m + 6, -q*t + 25 = -m. Let k = -1 + t. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 7*t**2 - 81*t + 17. Let w be k(6). Which is greater: 60.49 or w?\nAnswer: 60.49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, 1, 61715?\nAnswer: 61715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**4))\/((u*u\/(u\/(u*u*(u*u*u**(1\/4))\/u))*u)\/u)*u\/(u*u**(-2\/13))*u\/(u\/u**(-2)))**(4\/13) assuming u is positive.\nAnswer: u**(-161\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -49*r + 12. What is the hundreds digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 23*i. Let t(l) = -l**3 - l**2 - 4*l - 7. Let p be t(-3). Let g be v(p). Factor 4\/5*b**4 + 0*b**2 + 2\/5*b**5 + 0 + g*b + 2\/5*b**3.\nAnswer: 2*b**3*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1205822\/5 - 241164. Solve -4\/5*z**4 + 0*z + 0 + 4\/5*z**2 - u*z**3 + 2\/5*z**5 = 0 for z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(-1*sqrt(4)) - (5 + sqrt(304)))**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 16*i - 672. Calculate c(42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 28 (b) 0 (c) -3 (d) 1\/3 (e) 12707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/27433 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 246*f**4 + f**3 - 3*f**2 - 210*f wrt f.\nAnswer: 2952*f**2 + 6*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2362, 18871, 63676, 150925, 294766, 509347?\nAnswer: 808816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2545 = -4*a + 1164, g - 2779 = -3*a. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fftg when four letters picked without replacement from fgffgpggggppfpfgtf?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 5, 7.8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-441)\/45 + 2\/(-10))*8850\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 1056*g**2 - 5310*g + 4495411. What is o(1057)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 5, 22 in decreasing order.\nAnswer: 22, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.052 + 1.927. Let h = s + 0.125. What is the biggest value in h, -1, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 - -0.05. Let u = -0.32 - o. Put 4, 0.1, u in decreasing order.\nAnswer: 4, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 5*x**4\/3 + 6*x**2 + 2088*x. Let s(j) = -6*j. Determine z(s(r)).\nAnswer: 720*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21657+8.62\nAnswer: 21665.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.81 + 0.571434.\nAnswer: 10.381434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 585594918 less than -0.13?\nAnswer: -585594918.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (13 + -34)) + (-23 - -31 - 80)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 14*m - 1028. Determine q(-16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66419 + 66425. Let c be 9\/3 - (-8)\/4. Solve 5*l + 6 + 4 = c*r, y = 3*r - 5*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l**2*v**2 + 45*l**2*v + 6*l*v**3 + 3*v wrt v.\nAnswer: 14*l**2 + 36*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*c - 1 + 117*c - 842*c - 1009*c.\nAnswer: -1843*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -4\/63, -3\/2 in descending order.\nAnswer: 36, -4\/63, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 1\/4, -320757\/8, -0.1, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by -1 - 2 - 1\/((-2)\/56)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.125 <= 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*s = -118*s - 90. Solve 13 = -4*h + w, -2*h + s*w + 11 - 22 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*f**2 + 33*f**2 + 2*f - 62*f**2 - 3)*(-2*f**2 - 2 + 2) in the form y*f**2 + h*f**3 + b*f**4 + n*f + r and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759414.\nAnswer: 2, 3, 23, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekksgekiggkekaeki. Give prob of sequence isa.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -52 - (0 + -2) - (4 - (55 - 49))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(-4 + sqrt(85)\/sqrt(5) - sqrt(17)))**2.\nAnswer: 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 355426, -4.\nAnswer: -4, 0, 3, 355426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*x = 0, o + 3*x = 6*o - 9. Suppose 37 = -33*a + 301. Solve a = -p - o*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2181)\/(-6543)*(-6)\/(-5) + (0 - 24\/35)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*m - 0*x + 2*x, 5*x - 15 = -2*m. Suppose m = -2*y - 0 + 6. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 - 112. Find the second derivative of 3*w - 3*w**3 - 7*w**3 - 10 - 2*w**a + 16*w**3 wrt w.\nAnswer: 36*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 420 - 420 - p**2. Let z(o) = -5*o**2. Calculate i(z(h)).\nAnswer: -25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25528 - 25528 + 1274*z**2.\nAnswer: 1274*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20933235.\nAnswer: 3, 5, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1499487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -88*i. Does 22 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 23. Let k be r(-13). Let l(z) = 6*z**2 + 33*z + 3. Is l(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3393350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-576)\/168)\/((-4)\/42). Suppose 3*z = z + n. Calculate the remainder when 33 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14210 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b**3 - 4*b**3 - b + 4*b**3 + 1. Let k be -1*(-2)\/(-1) + 3. Let t be y(k). Solve 4*z + 6 = -3*l, t = -4*z - 2*l - 2*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6459\/13 - -497. What is the closest to -2\/5 in 0.4, -1\/7, a, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -0 + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 6. Calculate the common denominator of 57\/2 and (k + (-336)\/(-115))*(-20)\/16.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -2)*(-385)\/(-22).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -1\/3*m**3 - 4 + 0*m**5 + 0*m**2 - 5\/6*m**6 + 0*m + 0*m**4. Find the third derivative of r(d) wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70, 702, 2430, 5794, 11334, 19590?\n\"Answer: 90*b**3 + 8*b**2 - 22*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67, -147, -241, -343, -447?\n\"Answer: o**3 - 13*o**2 - 48*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**6\/144 + z**4\/4 + 6*z**2. Let t(a) be the second derivative of l(a). Determine t(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18)\/sqrt(3))\/sqrt(3) - (sqrt(128)*-2)**2) + 4)*-4.\nAnswer: -4*sqrt(2) + 2032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (256\/(-56))\/(3\/(63\/(-6))). Suppose -11 = 5*z - 36. Solve -y + c = -z*y + m, -4*y - 2*c = -16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95548, -95371, -95192, -95011, -94828?\nAnswer: -94643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 20, -4*h + 90 = -g + 115 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6699.9 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 23*s**4\/4 - s**3\/3 + s**2 + 10*s. Let h be k(2). Find the common denominator of -77\/4 and (2 - 5 - 0) + h\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329 + 1329 - 11*w + 5*w**2.\nAnswer: 5*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412*j - 11146360 = 3541440. List the prime factors of j.\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - 33 - -48 - -54.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16670 divided by -6763?\nAnswer: 16670\/6763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116b9 (base 15) to base 12.\nAnswer: 28170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9306, 19411, 30274, 41901, 54298, 67471?\nAnswer: 81426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z - 229. What is the remainder when d(40) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2))**(2\/103))**(-4) assuming h is positive.\nAnswer: h**(4\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*j - 179*j - 170. Suppose 0 = -5*o + 3*o + 32. Let f = o + j. Solve 0 = -3*z + 4*v - 2, 4*v - f = -z + 2*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1019, -1039, -1095, -1205, -1387?\n\"Answer: -3*x**3 + x - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 - 110. Let i(k) be the second derivative of 1\/18*k**4 - 2*k + 1\/3*k**l + 2\/9*k**3 + 0. Factor i(r).\nAnswer: 2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (35 - 8) - 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - -2. Calculate the remainder when c is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**3\/3 + 6. Suppose 135 = -12*n + 615. Let i(b) = -40 + n - 7*b. What is c(i(u))?\nAnswer: -49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (50320 + 274*q - 50320)*(-2 - q + 2) - 2*q**2 + 2*q**2 + 2*q**2 + (-3*q + 4*q - 2*q)*(-q + 0*q + 2*q) in the form u*q**2 + w + n*q and give u.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8002236 to 2 dps.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.012 - -0.0292. Round y to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -415*o**3*v**3 - 2*o**2*v**3 + 41*o**2 - 2*o*v**2 wrt o.\nAnswer: -2490*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-three fifths of a millennium?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hiuuuuh. Give prob of sequence hiu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 8*q + 5. Let y be h(-5). Let c = y - -12. What is the remainder when 3 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/40 + -4 + -3 and -61\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = -4. Let x(p) = -2*p**3 + 2*p**2 + p - 1. What is the remainder when x(t) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16745 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 5:23 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2\/4 + 25*b - 625 = 0.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*f, 2*s + 0*s - 5*f = -14. Suppose s*p = 2*p - 404. Let j = p + 723. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 10:26 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 17, 0.2, 3, -0.1, -1076, 0.5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -d1a (base 15) to base 11\nAnswer: -2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 14*i**2 - 825*i - 1779. Calculate t(61).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*h + 4*z - 20 = 158*h, -2*h + 3*z = 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -67728394.93 to the nearest one hundred thousand.\nAnswer: -67700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**5\/60 + n**4\/24 + 2*n**3\/3 + 5*n**2\/2 + 5*n. Let l(a) be the first derivative of r(a). List the prime factors of l(-6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363\/5 + 73. Let b be 102\/188*1\/2. Let o = 1\/47 - b. Are o and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*t - 16 + 2, 4*t = 4*y - 116. Let h = 44 - y. Calculate the smallest common multiple of 18 and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3969 divided by 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 2*y - 14. Let i be z(0). Is i > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12\/25 of a millennium?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 30*w + 371. Let v be y(23). Solve -x = -v*n + 30 - 40, -n + 5*x = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/42 + (-3)\/6\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 653697993 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18937362 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by (-568)\/71 + (20 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5 - 85*x**4 - 90*x**3 = 0.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90753*f**3 - 3*f**2 + 2285 wrt f.\nAnswer: 544518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7014284\/(-5817096) + 6\/94 - 14\/(-12)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6aa + c?\nAnswer: 6b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4009 and 3121112.\nAnswer: 59301128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 4. Let a be ((-7)\/2)\/(1\/(-2)). Let u be d(a). Let m = u + 6. Let q(l) = l**3 - 4*l**2 + 4*l - 3. What is q(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, t: 1, j: 2, m: 2, n: 1, o: 1}. What is prob of sequence jtno?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -3 - 388\/(-2). Suppose 0 = 5*k - 4*k + 2*s - 105, 0 = -2*k - s + a. What is the remainder when k is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 21073224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**4 - 31211126*t**3 - 74134901.\nAnswer: -8*t**3 - 93633378*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:34 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l - 3. Let o be (-18)\/(-3) - (-11)\/(33\/(-6)). Suppose 12 = l*u - o*u. Which is smaller: -8 or u?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, a: 1, o: 2, x: 1, c: 3}. What is prob of sequence ccco?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.9 less than or equal to 6557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -287934, -575908, -863882, -1151856, -1439830?\n\"Answer: -287974*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in -1, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1398330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((6*2\/96)\/2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617798.6 nanoseconds to microseconds.\nAnswer: 617.7986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62.4, -1, -3 in descending order.\nAnswer: 62.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + -1*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 2 = 3*p. Solve d - 11 = 3*h, 2 = 2*h - 3*d + p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - -1.4. Which is the nearest to 1? (a) -3\/2 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**4\/12 - 4*n**2. Let c(s) = -10*s**2. Give z(c(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136666987?\nAnswer: 136666987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 - -4) + 10)\/(0 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:40 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-4))\/(-3)*2. Find the second derivative of l**m - 2*l - 2 + 1 + 1 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j + 128. Let q be g(25). Suppose -q*v + 7*v = -20, -23 = m + 5*v. Factor -3\/5*l**m + 0*l + 0 + 3\/5*l**3.\nAnswer: 3*l**2*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 = -l - 4*l, -l - 5 = 0. Let a = y - -21. Let w(t) = -4*t - 17. Calculate the remainder when w(-18) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 1383, 3118, 5547, 8670, 12487, 16998?\nAnswer: 22203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 10. Let t = a - 1. Let x(q) = q**3 + 6*q**2 + q + 3. Give x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183576411?\nAnswer: 3, 20397379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 243, 1380, 3971, 8598, 15843, 26288, 40515?\nAnswer: 59106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 1922102?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1065 - -988. Is r less than or equal to 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517550991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - j**3)*(4045 + 271*j**2 - 4045) + 0*j**5 + 0*j**5 - 2*j**5 + (-4*j + 3*j + 0*j)*(-2*j**4 + 2*j**4 - j**4) + j**5 - j**5 - 2*j**5.\nAnswer: -274*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {q: 4, v: 1, w: 6}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**2 - 459*s + 930 = 0.\nAnswer: -155, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = 5*z - 149522, -3*o = 5*z - 149536. Calculate the highest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l + 5*l - 11*l)*(-4 - 1 + 6).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 251579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 4*l + 1. Let x(j) = -3*j**2 + 9*j - 2. Let s be ((-8)\/(-10))\/(4\/70). Let h be (-7)\/s*-2*2. Calculate h*x(d) + 5*b(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 12) to base 16\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50007 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12781228?\nAnswer: 2, 29, 110183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 - -208. Let r be (14\/4*4 + -5)*-17. Let y = 209 + r. Calculate the greatest common factor of t and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24648 by -8216.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/35 - (30\/35 - 1). Let l(a) = -3*a - a + 4 - a**2 + 3*a. Let v be l(g). Solve v*z = 11 - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from {d: 1, z: 1, u: 1, e: 1, g: 1, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019643 rounded to five decimal places?\nAnswer: -0.00196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-7314)\/(-1696)*-2?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2. Let s(i) = -i**2 + 3*i + 20258. Give s(o(b)).\nAnswer: -4*b**4 + 6*b**2 + 20258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271570.7 decades to centuries.\nAnswer: 27157.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207156*a**5*g**3 + a**5 + 7*a**2*g**3 - 9547*a**2*g - g + 3 wrt a?\nAnswer: 12429360*a**2*g**3 + 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/258 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23635 is divided by 294.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 8. Let w be t(-5). List the prime factors of (0 + -19)\/(w\/(-30)*2).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248384789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1110*n*t**3*y**2 + 2*n*t**2*y**3 - 4*n*t*y**2 - n + 2*t**3*y**3 - 2*t**3*y - 4*t**2 + 5*y wrt t.\nAnswer: 6660*n*y**2 + 12*y**3 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -369676 - 29183*b + 369676 as l + m*b and give m.\nAnswer: -29183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 789\/58386 + (-207)\/259 + 1\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 3, -4009?\nAnswer: -4009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 20 = -4*m, 4*m - 3*r + 14 = -8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121*f**5 + 2*f**4*k - 2*f*k - 95*k wrt f.\nAnswer: -2420*f**3 + 24*f**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56b588 - 19?\nAnswer: 56b56d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -34 * -581\nAnswer: 19754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5276343061 to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-16))\/(27\/12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5669 = -4827. Calculate the highest common divisor of 64 and c.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*w + 8, -2*w + 1 = 2*l - w. Suppose 2*c + 26 = -l*s, -2*c = -0*c - 5*s - 6. Calculate the remainder when 21 is divided by 1*2 - (c + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(288) + 1*sqrt(288)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*h**3*i + 110*h**3 + h*i**4 - 2*h - 2*i**2 wrt i.\nAnswer: -57*h**3 + 4*h*i**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29213*b + 58465*b - 29225*b.\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15)\/(-2*3\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63173 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/22? (a) -0.05 (b) -2 (c) -729\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*f + f + 10 = 0, -f - 25 = 5*n. Let i be n\/(-2)*(-1 - -2). Let r be (-3)\/6*(i - 4). Is r at most 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*u + 4580 = 86*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -139*v**2 - 60*v - 25. Let m be h(-6). Which is greater: -4668 or m?\nAnswer: -4668","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.98 - 2. Let t = 4.6105 + -0.6105. What is the nearest to -1\/4 in u, -1.1, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -2*u**4\/3 - 5*u**3\/6 + u. What is the second derivative of b(w) wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l - 24. Let o = -10 - l. Let h = 23 - o. Calculate the highest common divisor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1826001 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*a + 20 = 0, -1 = -x - 8*a + 4*a. Let u = x + -4. Suppose 44 = 4*p - 4*t, 2*t = p - 12 - u. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509341404 to the nearest integer?\nAnswer: 22569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18035614757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -2. Let t(m) be the third derivative of m**4\/12 + m**3\/2 + 3*m**2. Is t(s) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**3 + w**2 + 2*w + 1. Let y(m) = -m**3 - m**2 - m - 1. Let n = 4 - 4. Let o be y(n). Calculate s(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5749 + -3?\nAnswer: 5746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1058.\nAnswer: -5\/1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 2*m**3 - 3*m**3 + (-m + m - m)*(-8*m**2 + 22*m**2 - 8*m**2) + (1 - 2 - 1)*(0*m**3 + 3*m**3 - 2*m**3).\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-3)*1080\/840?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -47*j - 16. Solve -5*b + 5 = 0, -7*g + 6*g = -3*b + j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 9*k - 4*k)*(-12*k + 11*k + 21*k) + (-4 + 3 + 2)*(3 - k**2 + 1 - 3).\nAnswer: -261*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-5*u**3 + 36*u**3 - u**3) + (12*u**2 - 2*u**2 + 3*u**2)*(u - 2 + 2).\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5961 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-6*2\/3. Let l(r) = r**2 - 3*r - 1. Let z be l(2). Is y at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 5*v + 5*z + 640, 2*z - 236 = -2*v. Suppose -3*b + 100 = -119. Let i = v - b. Round i to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25095 and 1407?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -118.547?\nAnswer: -47.4188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258\/7 or 38?\nAnswer: 258\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j + 4. What is the units digit of (-1 + (-1)\/j)*-5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -2*t + 2, 9 = 5*t - 8*a + 4*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 40 = -2*m, -3*d + 3*m = 22 + 8. Let o = -158 + 160. Put -1, o, d, 4 in decreasing order.\nAnswer: 4, o, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1*1)\/(6\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 3*k**7\/70 - 23*k**5\/60 + 17*k**3 + 516*k**2. What is the first derivative of l(s) wrt s?\nAnswer: 36*s**3 - 46*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:47 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 739.4462 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100.438104 and 0.3.\nAnswer: -30.1314312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/3 - 46*x - 1040\/3 = 0. Calculate x.\nAnswer: -130, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3800\/3100*(-1085)\/140.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**1\/u)\/u))**(-2))**(-47) assuming u is positive.\nAnswer: u**188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 105487524.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 132997, 133021, 133043, 133057, 133057, 133037?\n\"Answer: -x**3 + 5*x**2 + 16*x + 132977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2 + k + 25. Let t be b(-2). Is -9\/13 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2440 + 652 = 0. Suppose t = 7*v + 215. List the prime factors of v.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68516507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2558431 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2, -g - n = 2*g - 784952. Suppose -98350 = -6*c + g. What is c rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 1 + 3768*k + 901*k.\nAnswer: 4669*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1842 + 0.3842. Let w be ((-9)\/(-21))\/(4\/14). Is w at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 50 = 5*o - 0*l, -20 = -2*o - 4*l. Suppose -15 = 2*j - 3*i, o = j + 2*j + 2*i. Solve -5*q + 5*y + 10 = j, 2*y - 5 = -2*q + 5*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/242 and -115\/839652?\nAnswer: 9236172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129611, 129610, 129609, 129608, 129607?\nAnswer: 129606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481275.\nAnswer: 5, 193, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1953433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -654*y**2 - 1222*y + 165. Determine c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l + 44*l - 22*l - 13*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 6:27 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - n**2 + n - 14. Let l be g(0). Let s = 17 + l. Solve 0 = 3*x - s - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g - 19*g - 128*g = 25*g - 27246 for g.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2673) - (-1*sqrt(2673) + sqrt(2673) - sqrt(2673)))*2*3)\/(sqrt(1100)*1*-4).\nAnswer: -27*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071052 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14112432 (base 7) to base 12.\nAnswer: -534690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 1}. Give prob of sequence ln.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) 1 (c) 33.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 3*m**4\/8 - 2*m**2. Suppose -3*u = -0*u - 3. What are the prime factors of g(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 445292, 890594, 1335912, 1781252, 2226620?\nAnswer: 2672022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -16. Let w be r*(-1 - 74\/6). Suppose -13*z + w = -5*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 5*d - 3. Determine g(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5780 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3975717 + 588838 = -28*s + 775685. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 22*v**2 + 7872*v + 6406. What is l(-357)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 793760724 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 74*j - 10. Let w(l) = 74*l - 12. Determine -5*f(g) + 4*w(g).\nAnswer: -74*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-6 + 64650\/21552 + 3). What is the hundreds digit of 2*(q\/16 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13694 is divided by 444.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -105569864 from 1.\nAnswer: 105569865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfncfccftft. What is prob of picking 3 f?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 744 and 115786488?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(-7*(-8)\/28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 + 2*j**4 - 12*j**3 - 8*j**2 + 16*j.\nAnswer: 2*j*(j - 2)*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m + 212*m**2 + 2*m**3 - 108*m**2 - 104*m**2.\nAnswer: 2*m**3 - 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/((-2)\/(-50)). Let n(g) = g**3 + 11*g**2 + 7. Let z be n(-11). Let m = w - z. What is the closest to 1 in m, -0.04, -0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220103230201 (base 4) to base 7\nAnswer: -155545633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/41)\/p**22*p**(3\/13)*p**(-4\/7) assuming p is positive.\nAnswer: p**(-83535\/3731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -397*f - 168. Is 28 a factor of x(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**4\/12 - 5*t**3\/6 + t**2\/2 - 14434*t. Suppose 3*f + 2*f = -2*g - 24, -4*g = f + 12. Give l(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481112059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-24))\/((-192)\/256)*64\/10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(11) - sqrt(11)) - (sqrt(22)\/sqrt(2)*5)**2.\nAnswer: -275 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/2 + 14843*q + 29687\/2 = 0. Calculate q.\nAnswer: -1, 29687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2. Let k(l) = -743*l - 166. What is k(j(z))?\nAnswer: 1486*z**2 - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/9695313 and -22\/5386285.\nAnswer: 48476565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -552 + 2758. Suppose -s = -5*f + 404. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 220850233 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -84, 0.4, -74, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140414 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/4 + p**3\/3 - 1. Let n be -1 + -4 - (-283 + 278). What is f(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and 5.28.\nAnswer: 5.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -86?\nAnswer: 86.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + (69 - (-37 + 173)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 3*b**5 + 2*b**5 + (-4*b**4 - b**4 + 3*b**4)*(-1 - b + 1) - 3*b**5 + 2*b**5 + 3*b**5 - 40*b**5 - 153*b + 153*b + 2 - 2 + 4*b**5.\nAnswer: -35*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g + 42*g**2 - 2*g - 3 - 2*g**3 - 2*g - 5132*g**4 + 5134*g**4 to j*g**4 + v*g**3 + i + m*g + x*g**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49946 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -158*s + 161*s - 2*a, 4*a + 33 = -s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44886 and 38?\nAnswer: 852834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -838 <= -823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1409377057 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2983.183 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140639*r - 570395*r = 570363*r - 5831 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19, 94 in ascending order.\nAnswer: 5, 19, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zll when three letters picked without replacement from nlzzllzzlzz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(612) - (sqrt(612) + 1*sqrt(612)))*3 - (-1 + sqrt(612) - sqrt(612))*6)**2*-1 + 2)*-5.\nAnswer: -1080*sqrt(17) + 27710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*q = 105, -4*r + q - 29 - 55 = 0. Let s = -11 - r. Calculate the lowest common multiple of 24 and s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -24 + 10850\/455 + 56\/26. Solve 152*n - h*m = 157*n - 22, 0 = 4*m - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -22) + 10 + -20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59438*a*d - 96221*a wrt d?\nAnswer: -59438*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {l: 1, h: 2, c: 2, w: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1761, 3, 2 in increasing order.\nAnswer: -1761, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 102*j**3\/5 + 687782*j**2\/5 + 660712*j\/5 - 26968\/5 = 0?\nAnswer: -6742, -1, 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.6716 and -3.\nAnswer: -20.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 76.136 and 230567153.\nAnswer: 230567229.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 3. Suppose 0*g = g - v. Is (3 + 1)*10\/g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -569 or 4043?\nAnswer: 4043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 - 6. Let c(o) = -2*o**2 - 5. Suppose -s - 6 = g, -3*s + 2*g - 18 = 6*g. Give s*d(b) + 7*c(b).\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*p + 325 - 325 + (p - p + p)*(-5 + 2 + 1) + 3 - 3 - p to h + u*p and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*p + 17, -3*p - 3*v - v + 7 = 0. Let o(x) = -x**2 + 6*x - 1. What is the units digit of o(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 396486.80905 - 396521. Let j = 34.2 + n. Round j to 4 dps.\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 19*i + 22*i + 9 = 0, 2*p + 3*i = 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)\/l**(-5\/7))**13*((l*l**(-2\/23))\/l**(-2\/9))**(-24) assuming l is positive.\nAnswer: l**(-71465\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 668 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-11))\/(99\/231*(-35)\/15)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + 0.22. Let r be (-2)\/(-3)*(-3)\/2. What is the third smallest value in 1\/5, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088223751?\nAnswer: 1088223751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2013*l - 378524. Calculate i(188).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -8. Let i(x) = -44*x**2 + 62*x**2 + m*x - 11*x. Let t be i(-3). What is the greatest common factor of 54 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 24 = 2*t - 0, 3*x - 3*t + 36 = 0. Let m be 15\/(-5)*5153\/x. Let l = m - 1304. Calculate the common denominator of l and -57\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13141.\nAnswer: 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffwiiifwfmv. What is prob of sequence if?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(sqrt(30) - sqrt(30)*-1))\/(-2*-1*sqrt(6) - sqrt(6))*2.\nAnswer: 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15757398.\nAnswer: 2, 3, 61, 113, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 3*q**2 - 3*q. Let c be m(4). Suppose c*o - 17 = t + 15, -t - 4 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133564?\nAnswer: 2, 33391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 66, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -107 - (120 - (69 - -64)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -0.167?\nAnswer: -2.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 505573961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - ((0 - -3) + -11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**5\/3 - 1376*m**4\/3 + 4200*m**3 - 12672*m**2 + 12708*m.\nAnswer: -4*m*(m - 3)**3*(m + 353)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.37 times 1\nAnswer: -1.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9623*t + 58032. Calculate w(6).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 3:12 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*a - 218*a + 70966 = -691*a - 49*a for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096544305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1859, -7719, -17493, -31181, -48783?\nAnswer: -70299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4613402 - 4613382 = 4*h, -2*x + 2*h - 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -14. Let h be 21\/n - (-2)\/4. Let p be 4\/2 + h - -21. Solve -g = -6*g - p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimqm. What is prob of sequence qm?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = -95 + 295 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i - 4. Let h(m) = -99*m + 45. Let c(t) = 4*h(t) + 45*q(t). Let x(r) = -5*r. Determine c(x(k)).\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -33. Suppose j*v - 200 = 4*v. What are the prime factors of v\/(-8) - 18\/72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4822708, -9645444, -14468192, -19290958, -24113748, -28936568, -33759424, -38582322?\n\"Answer: -h**3 - 4822729*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*x - 275 - 1185 = -255 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530785 to the power of 1\/2, to the nearest integer?\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004459 to 5 decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10498)\/(-5068))\/((-9)\/(882\/(-7)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 147, 281, 391, 477, 539, 577?\n\"Answer: -12*h**2 + 170*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + ((-2)\/2 - -2). Suppose d*w + 3*y - 3 = 0, 5*w = 2*y - 4 + 2. Find the first derivative of 2*z**3 + 2 - 4 + w*z**3 wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -14, -4, -6, -23, -16 in descending order.\nAnswer: 3, 1, -4, -6, -14, -16, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-132)\/(-2541) - (-2 + (-16)\/(-6))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1244 - 1241. Sort u, 2, 123 in increasing order.\nAnswer: 2, u, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**3\/3 - x**2\/2 + 6*x - 325. Factor v(y).\nAnswer: -(y + 2)*(2*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 + -6 - 8) + (-3 + -8 + 6 - -19).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*g = d + 87*g + 5, -4*g + 35 = 3*d. Suppose -16*m + 12*m - 132 = 4*l, l = -d. Which is bigger: -27 or m?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 384 - 581. Let s = k + 276. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 745507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44192 by 4.\nAnswer: -11048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bacyq. Give prob of picking 1 b and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -3712, 4 in increasing order.\nAnswer: -3712, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(1216))**2 + ((sqrt(19) - (-1 + sqrt(19))) + 4 - sqrt(19))**2.\nAnswer: -10*sqrt(19) + 1263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 13 (b) 5\/8 (c) -136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)\/v*v*v)**(-8\/13)\/(v**(-6)*v*v\/(v**5\/v)) assuming v is positive.\nAnswer: v**(496\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 977.3562 grams to milligrams.\nAnswer: 977356.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/sqrt(2) + (sqrt(7) - sqrt(21)\/sqrt(3)) + 4 - -2*sqrt(7)*-2*-6)**2.\nAnswer: 224*sqrt(7) + 5504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/(-5)*((-4)\/(-90) + 19715304\/2160)?\nAnswer: 2, 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*385\/8800*8*((-388)\/(-14))\/1\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 3. Let k = 8 + -6. Let o(g) = -g**3 + 3*g**2 + 2*g + 4 - g - k*g. Determine o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/20 and -41\/1680.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/60 - k**4\/3 - 5*k**3\/6 + 12*k**2. Suppose -x - 282*t + 278*t + 9 = 0, -x = -3*t - 9. Give f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2967963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1966*p**2*s**4 - 1310*p**2*s**3 - 15396*p**2*s + 5*p*s - 2*s wrt s.\nAnswer: -23592*p**2*s**2 - 7860*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 231057209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 3*q + 3. Give a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**5\/10 - 5*l**4\/12 + 5*l**3\/6 + 4*l**2 - 145*l - 7. Calculate d(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*m - 64 - 73*m + 64.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-129)\/6 - -13)*(-4)\/6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*y - 14 = 0, -370*y + 366*y = u + 3. Solve m + 3*o + o = -19, -3*m - 2*o - u = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -221 (c) -4 (d) 188 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**5 + 0*r + 130 + 10*r**4 - 125*r**2 + 25\/3*r**3. Solve w(n) = 0 for n.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 83 + 151. What is the greatest common factor of o and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n**2 + n - 1. Let x be i(1). Let k be (-4)\/6 - (x - 2). Let a = -6.037 - -0.037. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -243 - -247. Which is the closest to -0.4? (a) x (b) 0.3 (c) -2\/7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 48*h - 44 = 0. What is the least common multiple of h and 110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + 3 - 3)*(-6*l - 13 + 13) + 4*l**2 + 2*l**2 - 2*l**2 to the form y*l + a + i*l**2 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 10*p**2 - 8*p - 11. Let c be g(-6). Suppose 19 = -5*w + c. Calculate the highest common divisor of 144 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 1:05 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 253, -2\/19, 0, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.7416 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2 - 56*b**3 + 184*b + 8*b**2 - 191*b wrt b.\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*l + 32*f - 37*f - 19 = 0, 14*l = f + 59 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + -3*sqrt(143) + sqrt(143))\/sqrt(11) + sqrt(130)\/sqrt(10) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 6\/(-3)) + -78. Let p = t + 100. Let u(y) = 70*y**3 + y**2 - 1. Calculate the least common multiple of u(1) and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/9)\/(2\/(-54)). Let d(n) = -n - 7. Let z be d(y). Let r(j) = 3*j**2 - 5*j + 4. List the prime factors of r(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182*f + 26*f - 24*f - 39*f to o + p*f and give p.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -4, 1.6, 2.7, -3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.13, -1.5, 2, -124, -0.08, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 50*z**2 - 109*z + 52. Determine b(48).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0085 times -2.6?\nAnswer: -0.0221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.06 + 0.06. Which is the nearest to 1\/4? (a) 2\/9 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwctztmwm. Give prob of picking 1 t and 1 w.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -2)\/1 - 8960. Let s = 3461 + d. What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 - 1265*n - 15752. What is l(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32022161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -27194294\/5 < -5438860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215439, 430765, 645971, 861057, 1076023?\nAnswer: 1290869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 7445?\nAnswer: -7445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23305 - 23281 - (0 - -26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119577012?\nAnswer: 2, 3, 179, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:30 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25\/6 + (1 - 46\/48)\/((-2807)\/(-11228))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -174 - -98. Let p = 5 - 7. Let i = p - g. Calculate the remainder when i is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23\/60 + 1\/4. Let l = 0.01 + -2.01. Which is the closest to -0.1? (a) l (b) g (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170)*1 + sqrt(170))*-6)\/sqrt(10))**2 + 2.\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10769 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 77*f - 76*f - 2*k, 3*f - 42 = -3*k. Determine h so that -2\/5*h + 4\/5 - 22\/5*h**3 - 6\/5*h**f - 22\/5*h**2 = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 6*y - 1. Let k = 18 - 23. Let p be c(k). What are the prime factors of (-316)\/(-12) - (-2)\/p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -1, -0.167 in descending order.\nAnswer: -0.167, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 31 = -h, 0 = -5*h + 10*j - 7*j + 3. Let w = 10 + -7. Suppose w*g = i + 227 + 40, -g + h*i + 81 = 0. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10523 - 1?\nAnswer: -10524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2766*q - 492345. Calculate i(178).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6*m - 6*m + 5. Solve 2*p = 3*j - 2, 3*p = m*j + 1 - 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36593532 and 1272?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -17972378.\nAnswer: -3\/17972378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -630 - -634. Let i(t) = t**2 - 7*t + 6. Give i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-15)\/(-21))*(-1 + 3). Let q be (k*1\/(-3))\/(2\/6). Calculate the common denominator of (-190)\/q*(45\/10 - 1) and -61\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 308939*q + 3398250. Give z(11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (3 - (-1 + 1)). Suppose -j*u = -u - 36. Let q(r) = -r**2 + 13*r - 2. Does 10 divide q(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -101, 0.0652, 4\/3 in descending order.\nAnswer: 4\/3, 0.0652, -0.5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*x - m - 28, -x + m + 10 = 0. Solve -4*f + x = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 4 = 11*w. Let z(q) = q**2 + q - 1. Let c(h) be the second derivative of 1\/2*h**3 - 2*h**2 + 1\/6*h**4 + 0 - h. What is w*z(m) - c(m)?\nAnswer: 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139754?\nAnswer: 2, 3, 7, 11, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l**2 - l. Let p be d(-1). Let t(c) = 0*c**2 + p - 14 - c**2. Let i = -1 - -1. Give t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.88793 rounded to 1 dp?\nAnswer: -42.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34840.\nAnswer: 2, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -24. Let j be 43*1\/((-8)\/(-8)). Suppose -c = -v + j. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c**4\/3 - 11987*c**3\/3 + 335389*c**2\/3 - 153271*c + 45468 = 0.\nAnswer: 3\/7, 1, 27, 1684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2086, -2084, -2082?\n\"Answer: 2*l - 2088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/12 + 10*b. Let x(t) = 4*t**2. Give w(x(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 10*t**3\/3 + 13*t**2\/2 + 19. Find the second derivative of y(z) wrt z.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -14. Solve -x - j = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*c + 934373*b**3 + 4694392*b*c with respect to c.\nAnswer: -b**3 + 4694392*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3935, -7865, -11781, -15677, -19547?\nAnswer: -23385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 8530*w - 90 = 8528*w, -5*x = -3*w + 95 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/(-35))\/(22\/20380855) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/10 + -2)*-5. Is 16 a factor of (2 - (-24 + 0))*i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.0837 kilometers to nanometers.\nAnswer: 224083700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1545 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = -1141 - 119. Put 5, -5, a, 3 in ascending order.\nAnswer: -5, 3, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32847870 and 176?\nAnswer: 262782960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1640100 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 13, q: 6}. Give prob of picking 2 q.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -458298 (base 10) in base 9?\nAnswer: -767600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 10 = -n. Let j = n - 8. Factor -66 + k**j + 68 - 2*k + 5*k.\nAnswer: (k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 - 15 = 0, 5*z - 19 = 2*r. Suppose 0 = 2*d + f - 77 + 219, -4*d - 284 = r*f. Let k = d - -71. What is the second biggest value in 18, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxjx when four letters picked without replacement from xqxqxxxqxxqjqjxxxq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 + 5 = 0. What is the least common multiple of 99*q*(-2)\/(-2*3) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1001329532 to the nearest integer?\nAnswer: 31644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:27 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196 - -214 - (10 + 0)) + -1 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 247f61 (base 16) in base 10?\nAnswer: 2391905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ett when three letters picked without replacement from {t: 2, g: 2, l: 1, p: 2, z: 1, e: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = v + 176, -60 = 2*w - 5*v + 29. Let a = -51 - w. Let h = 12 - a. Calculate the greatest common factor of 48 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 + 12*s**2 - 39*s**2 + 103*s**2.\nAnswer: 83*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/248)\/(176\/352)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*t + 5*t - 66, -t = -5*w - 22. Suppose -8*b + o = -3*b - 10, 0 = 2*b - 4*o - t. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -53, -8 in decreasing order.\nAnswer: 4, -8, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 401431 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -0.5, -24 in ascending order.\nAnswer: -24, -0.5, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5\/9 + 58*x**4\/9 - 30*x**3 - 3178*x**2\/9 + 14144*x\/9 - 3584\/3 = 0.\nAnswer: -7, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 786511 times -1\nAnswer: -786511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbbnjjnbnnaaj. What is prob of picking 2 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0746501 decades in years?\nAnswer: 0.746501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*r + 1 - 64*r - 8*r**3 to the form c*r**2 + o + v*r**3 + z*r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**3 - 746*n**2 - 750*n - 6. Let d be f(-1). Factor 0*m + m**3 + 0*m**d + 0 + 1\/2*m**5 + 3\/2*m**4.\nAnswer: m**3*(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 18 = 3*g + 3*q, -5*g - 3*q + 90 = 0. Suppose -8 + 2 = -n. Calculate the highest common factor of n and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-6 + 5 + 2)*(6 - 2 - 2)*(-43 + 64 + 354)*(-2 + 2*n + 2).\nAnswer: -3000*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -687 * 319\nAnswer: -219153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/2 - 9*q\/2 + 693 = 0.\nAnswer: -42, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*8\/2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43770625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnv when three letters picked without replacement from {n: 13, v: 6}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y - 3*l, 3*y - 4*l - 15 = -2*y. Let v = 5 - y. Suppose v*a + 2*a = 8. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*-3 - sqrt(605))**2 + sqrt(605))*-3 + -1 + (-5 + 2*sqrt(605) + sqrt(605))*6.\nAnswer: -29071 + 165*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7487.9 - 7488. What is the nearest to 40 in i, -2\/9, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138381 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -284017, -284020, -284025, -284032?\n\"Answer: -h**2 - 284016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2352 = -5*x + 2320, 0 = 4*x + 24 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1104 and 13\/759?\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - g**2 - 2*g. Let p = 0 + 1. Let r(v) = 2*v - 10. Let m(z) = -3*z + 14. Let o(f) = 5*m(f) + 7*r(f). Let s(l) = p*a(l) - 2*o(l). Factor s(h).\nAnswer: -h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = v + 3*v + 22, 25*j - 3*v = 21*j + 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -98. Is t equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6051131 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 = -37*u - 48 + 8. What is the remainder when 1063 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 148.87. Let y = h + 1.97. Which is bigger: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**7\/3360 + s**6\/288 - s**5\/60 + s**4\/24 + 10*s**3\/3 + 19*s**2. Let k(h) be the first derivative of z(h). Factor k(l).\nAnswer: -(l - 2)**2*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06489 times 0.06\nAnswer: -0.0038934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 83 + 27 = 0. Let i(o) = o**3 + 8*o**2 + o + 13. Let l be i(f). What is the third derivative of l*d**6 - 11*d + 4*d**2 - 2*d**6 + 11*d wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (7*(-7)\/(-49))\/(1\/7). Let z(c) = -21*c - 6. What is z(g)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867363, 1734726, 2602089, 3469452, 4336815, 5204178?\nAnswer: 6071541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47056, 47065, 47074, 47083, 47092, 47101?\n\"Answer: 9*v + 47047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 + 1 = 0. Solve -g + 18 = g + 4*c, -2*c = o*g - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4642 divided by 100360\nAnswer: -2321\/50180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 161947286 to the power of 1\/2, to the nearest integer?\nAnswer: 12726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 48*g - 127 - 647 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79005, 79011, 79029, 79065, 79125, 79215, 79341, 79509?\n\"Answer: w**3 - w + 79005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 6*p**2 - 4*p + 8. Let z be i(4). Suppose 4*k = -2*x - z, 4*k - x - 3*x = 0. What is the tens digit of (1411\/(-34))\/(2\/k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 111389.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506, -2025, -4622, -8303, -13074?\nAnswer: -18941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087953 is divided by 1283?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*m - 1148 - 1083 = 339*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4613 + 5755. Is 64 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*w = -15, -7*l = -3*l - 2*w - 42. Let q be (-3)\/1 - (-1 - 0). What is the least common multiple of l and -20*(q\/5 + 0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13505*z - 13513*z - 5*h = -41, h + 9 = 2*z + 2*h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*r + 101*r - h = -82, -4*r - 64 = -4*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5569*j**5*s**2 + 5*j**4*s**3 - 3*j**2*s**3 - 205*j**2 + 6*j*s**2 - 2 wrt j.\nAnswer: -334140*j**2*s**2 + 120*j*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*f**3 + 15*f**2 + 2*f + 56*f**3 + 2 + 6*f**3 to the form y*f + i*f**3 + p*f**2 + g and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630700 is divided by 210033.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2528 divided by -5?\nAnswer: -2528\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1374 - 1062?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -23\/2*o**3 + 0 - o - o**2. Is f(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364956377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604, 608, 612, 616, 620, 624?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x - 1. Let q be f(1). Let k(p) = p + q + p + 0. Let g be k(-1). Let s(b) = 5*b**2 - b. Give s(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271*j*w**2 + 17531*j - 2114*w**2 - 1 wrt w.\nAnswer: -542*j*w - 4228*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 2743 + 2601 = 0. What is a rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112167072 - -78126072. Round a to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + o)*(67865 - 37*o - 67865) - 3*o**2 + 0*o + 0*o.\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3 - 16*v**2 - 546*v = 0 for v.\nAnswer: -13, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**(-1\/27)\/(a*a**(-6\/7)*a)**(1\/14) assuming a is positive.\nAnswer: a**(-422\/3969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1574300, 0 in descending order.\nAnswer: 0, -6, -1574300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*q**2 - 3 - 50*q**2 - 85*q**2 - q - 1 - 57*q**2 in the form n + s*q**2 + u*q and give s.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1116 + 126019.\nAnswer: 127135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnxh when four letters picked without replacement from jnxbhnnnn.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332, 1340, 3030, 5408, 8480, 12252?\nAnswer: 16730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 4*j + 3*d, 0*d + 3*d + 108 = -43*j - 864 + 170 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b - 13. What is o(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 + -380. Let v = 1963\/8 + i. Is 0 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**7\/245 + z**6\/105 - 13*z**5\/210 + z**4\/14 + 2*z**2 - 32*z. Suppose r(v) = 0. What is v?\nAnswer: -3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03529 + -733.43529. Let y = -737 - v. Which is bigger: -0.05 or y?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 1. Let v be w(-2). Let u(b) = -b**2 + v*b**2 + 0*b**2. Let y(c) = 16*c + 11. Let j(s) = 6*s + 4. Let h(d) = -11*j(d) + 4*y(d). What is h(u(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1488879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - v + 8, -11*v = -12*v + 3. What is the nearest to b in -57, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbp when three letters picked without replacement from mmvmpmbvbmvmkvbmm?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4524*y + 17864. What is b(4)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + sqrt(162)\/((sqrt(9) - sqrt(18)\/sqrt(2)) + sqrt(9)) + 5*(sqrt(18) + sqrt(18)*-2) + sqrt(18))**2.\nAnswer: -54*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-121)\/2)\/11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 126 (b) -0.2 (c) 54 (d) 4\/9 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 10*u**2 + 95*u - 1119. Calculate the remainder when 223 is divided by n(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -20, -2\/13, 2\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**8\/280 + 2*j**7\/21 - 29*j**6\/300 - j**5\/3 + 8*j**4\/15 + 15*j**2 + 7*j. Find o such that h(o) = 0.\nAnswer: -1, 0, 2\/3, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4741659*l - 86268. Let i(g) = 3079*g - 56. Let s(y) = -3081*i(y) + 2*r(y). Let b(n) = 2*n**2. Determine b(s(p)).\nAnswer: 18985122*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -871 + 970 + 20*s + 11*s + 39*s wrt s.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103835 - 26166479\/252. What is the common denominator of 29\/24 and o?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**7\/504 - p**6\/180 - p**5\/20 - 11*p**4\/24 - 9*p**2. Let u(j) be the second derivative of d(j). Is u(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17024000 rounded to the nearest one hundred thousand?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 15768.\nAnswer: 78840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*x + 8, -5*x + 10 + 0 = 5*n. Suppose -q = -4 - 0. Solve -2*l + 11 = -n*w - 7*l, 5*l - 7 = q*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230650 (base 9) to base 10\nAnswer: 138312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 90.\nAnswer: -11\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*2\/(-10)*820\/(-82). List the prime factors of 42*((-8)\/(-2) - (-2 + o)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1500 and 83\/18?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + 1211111132?\nAnswer: 1211110333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/15)\/(p**18*p))**(2\/3) assuming p is positive.\nAnswer: p**(-574\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 - 20*z + 103. Let y(r) = -9*r**2 + 41*r - 209. Let w(q) = -11*d(q) - 6*y(q). Let l be w(4). Which is bigger: l or 24\/25?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.52 and -506.\nAnswer: 263.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (28 - 0) + 5*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g + 12 = 0. Let k be 1*g\/(-3)*0. Suppose -3*v - 2*v - 10 = k. Is v at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 + 28*j - 319. Is m(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537726117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**7\/147 + m**6\/105 - 3*m**5\/70 - m**4\/42 + 2*m**3\/21 + 5*m. Suppose a(t) = 0. What is t?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 55 = -2*z. Let x(o) = -6 - z*o + 6. Let r(q) = -4*q**2 - 7*q + 7. Let n(u) = -u**2 - 2*u + 2. Let v(t) = -14*n(t) + 4*r(t). What is v(x(k))?\nAnswer: -242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(1274\/624))\/((-10)\/(-70))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(700) + 2*sqrt(700) + 1)**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 10.9. Let p = -11.7 + h. Let f = p + -4.3. Which is the biggest value? (a) 4 (b) 2\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 789*x + 48 - 35 - 5448*x as t + l*x and give l.\nAnswer: -6237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7 = 5. Let g = 1593\/7 + -227. Let j = 10 + -9.9. What is the nearest to b in 1, g, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5210 + 41761\/8. Let d be 1065644\/18*(-5)\/(-20). Let x = 14794 - d. What is the common denominator of x and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0916, 3, 4\/13, 2\/1149.\nAnswer: -0.0916, 2\/1149, 4\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -37 - ((25 - -13) + 8).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 8*u - 18. Suppose -642 = -2*b - 3*m, m - 316 = -b + u*m. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let f(i) = i**2 + 5*i. Let k(y) = 1. Let a(g) = g - 5. Let b(d) = -a(d) - 5*k(d). Let v = -2 + 3. Let j(c) = v*f(c) + 5*b(c). Calculate h(j(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/(-1))\/15)\/(5\/((-135)\/6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 38, 81, 1, -13.8, 0.4?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.65784ug to milligrams.\nAnswer: 0.05065784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.024631 + -16.024631. Let c = -2 - -1.9. Let b = -0.16 + -0.04. Sort p, b, c in increasing order.\nAnswer: p, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/45 and -19\/3225.\nAnswer: 9675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4844 and 5012.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*g + 10. Solve m + 8 = n + g*n, -3*m + n = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3092328)\/(-20))\/(12\/160). Let z be -4*(-134614 - (1 - 3)). Let j = o + z. What is j rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let u(y) = -143*y**2 - 5*y. Let v(p) = -5*a(p) - u(p). Let g(i) = 4*i**2. What is v(g(h))?\nAnswer: 2288*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56363 and 1795?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-378)\/(-35) - 11)\/(-1). What is the fourth biggest value in -0.1, 2.2, v, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 10 + 0)*(0 - 4 + 5)*(6*r - 2*r - r) + 0*r + 3*r - r in the form f*r + z and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -17183.2 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.2 + -38.2. Let r = 47 + -327\/7. Which is the nearest to r? (a) 2 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.79 + -144.29. Let h = -140 - r. Suppose -21 = -w - 4*o - 6, 2*w + 5*o = 18. Which is the nearest to -1? (a) h (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23353555.\nAnswer: 5, 29, 161059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*x - 21*x + 111. Let w = 39 - x. Let d be (4\/(-2) - -9) + -3. Solve -m + w*m - d = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 413 = 425 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzz when three letters picked without replacement from yuzynzy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-four fifths of a microgram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 b when four letters picked without replacement from bzzbbz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*(-1)\/104*-76.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/118105582 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3980 and 14726?\nAnswer: 147260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-12))\/((-6)\/24). Let t(u) = -6*u - 8*u + 2*u. Let g(x) = 11*x - 1. Let l(o) = k*t(o) - 6*g(o). What is the first derivative of l(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*k - 3*m + 3, 4*k + 5*m = 32. Suppose -7*v + 2*v - 20 = 0, k*l = -v - 13. Calculate the remainder when 4 - -83 - 3\/l is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*t + 1015*t = -800 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 22)*16\/(-48). Let g(d) = d**3 - 6*d**2 - 5*d - 10. Let o be g(u). Solve 0 = o*k - k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u + 180 = 0. Suppose u*m - 35*m + 2 = 0. Is ((-5)\/4)\/(m\/96) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by (120\/22)\/(26\/143).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 51. Let a be ((-53)\/3)\/((20\/g)\/(-5)). Let u = 57 - a. Solve -2*j = -3*j + u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47062809 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(128) + 5 + -3)*6 - (2 + sqrt(128) + 3 + -4))**2 + 3).\nAnswer: -9972 - 2640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 - 89*h**2 + 149*h.\nAnswer: 20*h**3 - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18471 + 19819. Which is bigger: s or 1349?\nAnswer: 1349","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 26*h\/5 - 12.\nAnswer: -2*(h - 10)*(h - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 364 + -368. Sort -91\/5, 4, p in descending order.\nAnswer: 4, p, -91\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.9 - 25. Let o = -0.5 - -0.4. What is the closest to o in 0.5, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 391 + 1433 = 0. Calculate the highest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334863374.\nAnswer: 2, 167431687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -0.3. Let j = 65098 - 65097. Put j, f, -4\/3, -2 in ascending order.\nAnswer: -2, -4\/3, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 580*m**2 - 1145*m + 570.\nAnswer: -5*(m - 114)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r + 9. Let u be (-36 + 32)*(-1 - -2). Let f(v) = v - v + 3*v - 4. Let x(m) = u*z(m) - 9*f(m). Let p(w) = -11*w**2. Calculate p(x(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n - 426 = -1484. Suppose 0 = q + n*q - 48. Solve 0 = -7*k + 2*k + q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p + 1\/60*p**6 - 12*p**2 + 7\/24*p**4 - 5\/2*p**3 - 2 + 0*p**5. What is the first derivative of u(y) wrt y?\nAnswer: 6*y**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540170 divided by -38?\nAnswer: -14215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -l + 3*l. Let o = l - -9. Factor -15*v**2 + 9*v**3 + 6*v**4 + 36*v**o + 9*v**2.\nAnswer: 3*v**2*(2*v + 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42010 (base 5) to base 12\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 53. Let j be q(20). Let z be (-24)\/(-56)*4*j\/2. Solve 2 = -z*c + 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6260 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*m + 230, 3*l + m + m - 170 = 0. Suppose 2*x - l = 124. Round x to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183 + -158.4. Let n = i - 25. Let j be (0 + 0 + -1)\/(-1). Put 3, j, n in descending order.\nAnswer: 3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m**2 - 1. Let c(b) = 4*b**3 + 3*b**2 + 2*b + 11. Let t(y) = c(y) - 3*x(y). Let s = -18 - -44. What is the remainder when s is divided by t(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 255, 384, 513?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 + -23 + 39?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 45418353*u**3 + 65336141.\nAnswer: 136255059*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 22*g + b = 24608, 0 = 5*g - 2*b - 122984. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14404427 - -5?\nAnswer: 14404432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/6 + 30*j**2 - 1111*j\/6 + 155.\nAnswer: (j - 5)*(j - 1)*(j + 186)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 9:41 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = 4*g, 3*f + 4 = -5*g - 2. Differentiate f*i**2 + 0*i**2 - 5*i**2 - 11 + 14 wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20934631.\nAnswer: 1201, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (171\/(8208\/384))\/(2\/8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(4\/9)\/i)\/i)\/i)\/i*(i\/(i\/i**(-4)))\/i*i)\/((i*i*(i*i**(-1)\/i*i)\/i)\/i**(-4\/11)) assuming i is positive.\nAnswer: i**(-784\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4 (c) 5 (d) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l**4 - 2*l**3 + 2*l**3)*(7 + 386 + 17) + 0*l**4 + 2*l**4 - l**4 as i*l**3 + r*l**2 + m*l + t + d*l**4 and give d.\nAnswer: 1641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5 - 3. Let d = -8 - s. Let l = -6 + 10. Solve d = l*b - 3*j + 9, -5*b = -4*j - 4 + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66034*u + 1334*u**2 - 66034*u.\nAnswer: 1334*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/15)\/j*j**(-7)*(j**(-2\/9))**(-13)*j*j**(-2\/3)*j*j**(2\/11)*j*j**1*j**(1\/5) assuming j is positive.\nAnswer: j**(-125\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 28 = -3*s, 3*s + 20 + 41 = -5*f. Calculate the common denominator of f and (0 - 2) + 18\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 4*p**2 + 7. Let a(k) = -2*k**2 + 1. Let g(y) = -y**2. Let o(f) = a(f) - g(f). What is 4*o(t) - q(t)?\nAnswer: -t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2113?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 905 = -10*z. Let h = 88 - z. Let n(r) = -2*r**3 - 1. Calculate n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 28. Suppose -2 + 16 = 7*z. Let v be 0\/(1 - 6\/z). Solve -m + p*m = v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 21*b**2 - 7*b - 16. Let x be y(-2). Let d = x - 67. What is the greatest common factor of 10 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 16*j + 9. Let r be n(-16). Let d(p) = -7*p - 4. Let y(z) = 2*z + 1. Calculate r*y(x) + 2*d(x).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-40) + 0 - 21648\/(-1760)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2442 + 2444. Let a(x) be the first derivative of 2*x**3 + 5\/2*x**i + 1\/4*x**4 - 5*x + 9. Calculate a(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26892, 53959, 81168, 108513, 135988, 163587, 191304, 219133?\n\"Answer: -g**3 + 77*g**2 + 26843*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.5 and 105028668749.\nAnswer: 105028668747.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6088 = 2*b + 6*m, -3*b + 6029 = 4*m - 3113. Calculate the remainder when b is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 52 = -0*a + 4*c, 0 = -2*a - 5*c + 5. Calculate the common denominator of ((-276)\/30)\/(22\/a) and -53\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:07 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00303845 rounded to four dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.041 (b) 5 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88032713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-8)*g*g**(-13\/2)\/g)\/(g**(-10\/7)\/(g\/((g\/g**(-19))\/g)*g)) assuming g is positive.\nAnswer: g**(-407\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t - 820 = 6*t + t - 100 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 44*b**2 + 259*b + 31. Give r(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1727.1 and 468?\nAnswer: 808282.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 5395850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 31002770 to the nearest ten thousand.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -i - 16, -2*i - 3*c - 139 + 132 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/110*-11)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqzqqrqrqqrqqbq. What is prob of picking 1 q and 1 b?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**2\/7 - 63480*j\/7 + 251856900\/7 = 0. What is j?\nAnswer: 7935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 2*r - 17, -3 + 11 = -2*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 312?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1919 - 1918.9999994005. Round f to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose 3*h + 2*h = p + 12, z = -2*h - p + 2. Let q be (20\/6)\/(5\/15). Calculate the greatest common factor of q and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111264509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = k - n - 4, 0 = -3*k - 4*n - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -34, -48, -64?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qshfnjh. What is prob of sequence fh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = t - 128. Let l = t + -48. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1401 + 95?\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 + -13)\/(231\/2156))\/(4*(-10)\/(-40))?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342795 (base 11) to base 6.\nAnswer: -15404402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 900795.8 centimeters in kilometers?\nAnswer: 9.007958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:28 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-5 - -25 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2118044 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.006 and -0.08.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 17*n + 5. Let w(x) = -2*x**2 + 15*x + 4. Let r(t) = -3*m(t) + 2*w(t). Give r(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 2\/141 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -836\/15 at least as big as -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 2, 3*a - 509 = -5*k. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -330, -335, -354, -393, -458?\n\"Answer: -u**3 - u**2 + 5*u - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p + 7. Let m(i) be the first derivative of -7*i**2\/2 + 5*i - 14. Let t be (-1 - -4)*(-28)\/12. What is t*m(v) + 5*u(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -309. Let a = w + -188. Let l = a + -34. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 737237073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168579124 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242218?\nAnswer: 2, 163, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9557 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1281 - -1276) + 2 + 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.201 - 0.200609. What is q rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10399 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1769 + 788. What are the prime factors of r?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1036 (base 16) in base 13?\nAnswer: -1b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2745)\/(-244)*6\/27*-3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8505 - 1?\nAnswer: 8504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 298, 285, 250, 181, 66, -107, -350?\n\"Answer: -2*c**3 + c**2 - 2*c + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -162a4?\nAnswer: 162a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*(o*o\/(o**(-7)\/o*o)*o)\/o)\/o)\/(o**(-2\/9)\/o)*(o\/(o**(-1)\/o))**45 assuming o is positive.\nAnswer: o**(1316\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 + -136 - (4 + -6 + -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260316332 to the power of 1\/2, to the nearest integer?\nAnswer: 35501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 10*k - 176. Suppose -8 + 11 = m. Suppose m*z = -z - k, -2*l - 3*z + 8 = 0. Calculate the remainder when l is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 2)*(5 - 4 + 0) + 5 - 3 - 1)*(9*d - 18*d - 11*d) to the form z + k*d and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 2*n, 2*n - n = 3. Let z(c) = -4*c - 3. Let v(i) = 12*i + 8. Let d(s) = q*v(s) + 8*z(s). Calculate d(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*c + 2*z, 4*c = 2*z + 3*z + 59. Calculate the least common multiple of 7 and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13221624 and 721776?\nAnswer: 290875728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/((-141)\/6)*(-5)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 889176 times 9?\nAnswer: 8002584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/73)\/n*(n\/(n\/(n\/n**(7\/3))))\/n*n*n)\/(n\/n**25*n*n**(-24)) assuming n is positive.\nAnswer: n**(9995\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/11 or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 110314185 less than 110314184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g - 116 = -6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93000*n**5 + 627261*n**2 + 1 wrt n?\nAnswer: 5580000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3\/7 (c) 1\/25 (d) -25 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177 + -173. Suppose -17*p = -r*p - 17511. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1676.6? (a) 5 (b) -0.06 (c) -1\/3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1432)\/(-20) - 2\/(-5). Suppose 2*q = -2*r - u, -q + 5*q + 2*r + 148 = 0. What is the remainder when 19 is divided by q\/(-4) + 4\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g + 27. Give r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54705 + -12558. List the prime factors of h.\nAnswer: 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 25 = -16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/135800 and -64\/35.\nAnswer: 135800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -h - 0*h - 3*r, -5*h + 5*r - 60 = 0. Let c(u) = -26*u + 3. Is c(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u\/((u*u\/(u*u**(2\/75))*u)\/u*u*u)))\/u)\/u**(-28)*u**(-4\/27)*u**(1\/22) assuming u is positive.\nAnswer: u**(413879\/14850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31063\/3144 + 79\/8. Let l = j + 268\/1179. Factor -l*m**4 - 8\/9*m**3 - 4\/3*m**2 - 8\/9*m - 2\/9.\nAnswer: -2*(m + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, d: 1, w: 4, n: 1, x: 1}. Give prob of sequence ewne.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5683*b = 5768*b + 3060 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1231956 by -2244.\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - (-13 - (-3 + -16 + 14) - 11)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14930, -21994, -29058, -36122, -43186?\n\"Answer: -7064*p - 7866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 9:46 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7154, 14393, 21632, 28871, 36110, 43349?\n\"Answer: 7239*q - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8764*j - 8760*j - 12 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 6 = 0. Suppose -4*m - y = n - 2*n, -5*n = m - 9. Find the second derivative of -2 - 10*a**n + 3 - 1 + 8*a wrt a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13713 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 128195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -6*n + 2*n. Solve 4*j + n - 5 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - u = -4 + 1, 4*u = -m + 3. Suppose -m*i = -i. Solve 0 = -q - 3*f + 2, 2 = q - f - i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-1)\/1))\/((-1498)\/(-23219))\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 290037, 289836, 289637, 289440, 289245, 289052, 288861?\n\"Answer: h**2 - 204*h + 290240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2087 and -0.1?\nAnswer: 208.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 68 = -4*r + k, -86 = -4*r - 2*k. Suppose r*x = 24*x + 16. Which is smaller: x or 4\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + (-1 + sqrt(2736))*2)*-1)*2.\nAnswer: -48*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 17*s**3 - 20*s**2 + 21*s - 29. Let w(z) = 6*z**3 - 7*z**2 + 7*z - 10. Let j(k) = -4*n(k) + 11*w(k). Let x be j(4). Let a = x - -229. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23\/126 + -1\/1386. Which is the second smallest value? (a) -3 (b) o (c) -0.16 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t + 1653. Let v(n) = -n - 150. Determine 4*l(s) + 45*v(s).\nAnswer: 3*s - 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**3 + 19550*i**2 - 111145*i + 157080.\nAnswer: 5*(i - 3)*(i + 1309)*(3*i - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 2, -9, 1295, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/8 + 1395\/60. Let j be 1 + x\/4 - 3. Let y = 18 + -6. Solve 0*p - n + y = -j*p, -n = -3*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waw when three letters picked without replacement from {w: 3, a: 13}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/33 and 47\/129.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-3)\/(-2))\/((-294)\/56).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 5*z + 5. Let u be t(5). Suppose f + u*k = 22, -23 = -3*f + f - 3*k. Suppose 4*w = f*w - 9. Solve -3*o + 22 = -5*s, 3*o = 2*s - w*s - 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*h - 19*h - 11*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -201292300 rounded to the nearest one hundred thousand?\nAnswer: -201300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12775\/(-365)*(-9)\/(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*(1 + (5 - -2)). Solve 0 = -3*c - q + 10, s*q + 4 = 2*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + -4 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 + 309*q - 11734. Calculate w(-133).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 12) to base 10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 31*j - 23*j. Suppose 3*c - 4*d - 17 = 13, c - d - 11 = 0. Calculate the remainder when c is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112247585 to the nearest ten thousand.\nAnswer: 112250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:55 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**2 + 30*q - 45. Suppose 0 = -11*u + 8*u - 24. Let d(x) = 5*x**2 + 20*x - 30. Suppose -j + 1 = -4. Let l(b) = j*h(b) + u*d(b). Factor l(n).\nAnswer: -5*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -8. Let s = 10 - j. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1778, 1700, 1622, 1544, 1466?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/11)*j\/j**(-15)*j)\/(j\/(j\/(j\/(j\/((j**(-8)*j)\/j))))*j**(-17)*j) assuming j is positive.\nAnswer: j**(461\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*t + 60 + 170. Suppose -7*p = -6*p - 5, t*f - 72020 = -3*p. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1. Let y(z) = -7*z - 28. Let p(m) = -21*f(m) - y(m). Suppose -14*d - 112 = 10*d - 8*d. Let t(r) = 7*r + 8. Determine d*p(n) + 6*t(n).\nAnswer: -7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rnrnrnnrnnrn.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/27))**(1\/4) assuming c is positive.\nAnswer: c**(-1\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -1.4. Which is the nearest to -2? (a) -0.4 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 0*v**3 + v**3 + 1)*(-924270*v + 924270*v - 830*v**2).\nAnswer: -1660*v**5 - 830*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 - 8*n**2 + 3*n - 11. Let w be f(-7). Is (w\/12)\/((-2)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from ggdrdgdocdndgrn.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4)*(-2)\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -83 (b) -9674 (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 28. Let f be (-2)\/(-1) + y\/6. Suppose 32 = 5*x + w, w = f*w + 9. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 898479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9801*z = 9716*z - 381 - 724 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 4, k: 1, x: 2, t: 2, u: 2}. What is prob of sequence ogkx?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**6\/60 + 13*c**5\/30 + 8*c**4\/3 + 20*c**3\/3 - c**2 - 198*c. Determine q so that r(q) = 0.\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d**3 + d**2 + d + 1. Determine n(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 146333498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t + 7. Suppose 0 = -k - m + 17, k - 11 = 4*m + 11. Suppose 10*i = 11*i + k. Does 23 divide n(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 105224?\nAnswer: 5\/105224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {i: 3, x: 11}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssccsswcsssss. Give prob of sequence cw.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 0, q - 2 + 0 = 4*v. Suppose q = -j + 5. Suppose 19 = -2*n + j*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**3\/3 - 5*a**2 - 11*a + 83. Let p(s) = s**3 - 4*s**2 - 7*s + 2. Let u be p(5). Let y be g(u). Solve -y*n = -0 - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**2\/2 + 48. Let w(o) = 3*o**2 + 4*o. Let g(s) = -5*s**2 - 7*s. Let a(q) = 4*g(q) + 7*w(q). What is y(a(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128787500.\nAnswer: 2, 5, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {w: 2, o: 2, s: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.037 (b) 4 (c) 0.053 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5) + (-25)\/(-65) + 25840\/(-6175)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118423119212 - -1.\nAnswer: -118423119211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260d (base 16) to base 2.\nAnswer: -10011000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1452886 rounded to 3 decimal places?\nAnswer: 1.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -802 - -803. Put -2\/3, 33, d in ascending order.\nAnswer: -2\/3, d, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/5459 + 322097\/43672. What is the common denominator of 8\/9 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 24321?\nAnswer: 48642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 16*u**5\/5 - 104*u**4\/3 + 98*u**3\/3 - 12*u**2 + 17*u - 1. Suppose o(c) = 0. What is c?\nAnswer: 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -83*v - 132. Let q(i) = 2. Let j(w) = -2*h(w) - 6*q(w). What is the first derivative of j(t) wrt t?\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8547438 is divided by 440.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 5. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**3 - 1086*h**2 - 94560*h - 184800 = 0.\nAnswer: -220, -140, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 5*u - 6. Let a be 2\/(((-2)\/(-4))\/1). Let w be o(a). Let q = w - -3. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 13*i**2 - i - 9. Suppose -7 = j - 2*n, 4*n + 32 = -3*j - 19. Let l be q(j). Solve l*b + 0*b = 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84580169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -13 + -48 - -25.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is (16\/10)\/((-22)\/110)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 - (-1839)\/15. Let x = 2089\/17 - t. Let q = -1186\/9 - -132. What is the nearest to 1 in q, x, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -976436, -976428, -976420, -976412, -976404?\nAnswer: -976396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -830464, -830364, -830264, -830164, -830064?\nAnswer: -829964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 6, 1\/7, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 11*l + 20*l + 38*l)*(-3 + 3 + l**2) as z*l**2 + b*l + n + o*l**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12696\/7*y - 3166\/7*y**3 + 138\/7*y**4 + 23782\/7*y**2 - 97336\/7 - 2\/7*y**5 = 0 for y.\nAnswer: -2, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -930 + 933. Solve q + 3 = o*z, 1 + 0 = z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a**2 + 15 + 9*a - 10*a**2 + 8. Is g(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4 + 21. Let y(l) = -l**2 + 14*l + 32. Let r(u) = 2*u**2 - 27*u - 65. Let v(j) = 4*r(j) + 9*y(j). Is 11 a factor of v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*r + 4*a - 144 = 448*r - 232*r, 2*r - 3*a = -3*r - 98 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8302, 9139, 9978, 10819, 11662, 12507, 13354?\nAnswer: 14203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23\/6 + 10\/3. Sort 2, a, 0 in decreasing order.\nAnswer: 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/6798 and -143\/255234.\nAnswer: 2807574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 2*z)*(3*z - 3*z + 2*z) + 246*z**2 + 2646 - 5289 + 2642.\nAnswer: 242*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.03 and -0.0936.\nAnswer: -0.377208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 9*h - 7. Let u be c(8). Let t be (25\/5 - (-31506)\/(-243))*6. Let k = t + 748. Is k < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 10:14 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.234 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 4*v**2 + v - 2. Let h be i(3). What is the remainder when 14 is divided by (1 + 1)\/(h\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 1.13.\nAnswer: -1.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 11. Let h(a) = -a**3 + 36*a**2 + 38*a + 93. Let w be h(37). What is the greatest common divisor of w and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 + 88 + 2 + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*k + 2831 + 1550 + 6501 - 406 = 0 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 2. Let l be i(3). Let r(a) = -1326*a - 6615. Let z be r(-5). Suppose 5*q = z, s + 2*s - l*q + 3 = 0. Solve 2*d = -s*h, -d - 4*h = 1 + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 3:51 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zu when two letters picked without replacement from zxsnxnnsxszznzsu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8546 - -8540. What is the closest to 35 in q, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 9\/2 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -11*a - a - 2*a. Let i(j) = 28154*j - 8*j**2 - 56336*j + 28182*j. Determine b(i(x)).\nAnswer: 112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -437, -1830, -4151, -7400, -11577, -16682?\n\"Answer: -464*o**2 - o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/20 and 13\/2328?\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1225033 and -0.302.\nAnswer: 369959.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3703*w + 35. Let b(p) = -3706*p + 42. What is -5*b(u) + 6*i(u)?\nAnswer: -3688*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 8*u - 59. Determine v(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -409 + 411. Solve -r = a*p, 0*p + 2 = -p - r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from cwcwcwnwczczcc.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.23\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10987, -22076, -33165, -44254, -55343?\nAnswer: -66432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + -27 + (23 - 16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7 and 0.316.\nAnswer: 1.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**4 - 4*a**3 - 37*a**2 + 48*a + 5. Let f(m) = -2*m**4 - 6*m**3 - 56*m**2 + 72*m + 8. Let g(t) = -5*f(t) + 8*r(t). Factor g(w).\nAnswer: 2*w*(w - 2)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5*(-2*(-548)\/(-66) - (-1488)\/93)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -2 + -3 + (-576)\/(-2). Determine h, given that r*h + 759*h**3 + 7*h**5 + 192 - 908*h - 13*h**5 + 147*h**2 + 18*h**5 - 192*h**4 = 0.\nAnswer: -1, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 10. Let z be 1\/2*0 - 64. Let l be 9\/6*z\/(-3). Solve 0 = -5*p + 4*s + l, -10 = -p + b*s - 0*s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(-18 + 23 - 13 - 7*i) + 0 - i + 0 in the form c + a*i and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 - 195. Let o(k) = -6*k**2 - 3*k - 1738 + k**3 + 1745 + f*k. Suppose 0 = 3*t - 8*t + 25. Calculate o(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 3*f - 1. Let z be k(3). Let h = 2 + z. Let n(v) = -h - 3 + 0 + 3 + v. What is n(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16.2 in 3, 0, 84?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 4. Let y be 9 + (-4)\/(-8)*-8. Suppose -b = 4*b - y. What is the smallest common multiple of p and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofoffoosfoofoofooff. Give prob of sequence ooof.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*y - 123, -2*y + 31 = -2*i - 31. Suppose 41*o - 2268 = -o. What is the smallest common multiple of y and o?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 78, 260, 608, 1176?\nAnswer: 2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 5. Let j be r(-4). Suppose -j*o = -4*o - 3. Let q be o\/(-3) - 330\/(-18). What is the highest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 201321*w**2 - 9*w - 16. Let i be 69\/(-21) - (-6)\/21. Let t be x(i). Let k = t - -2088100. What is k rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12136 + 12135. Which is smaller: c or 3\/9418?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-3) - (-1 + 4). Let o = -61\/42 - -7\/6. Let c = -9.53 + 5.53. What is the nearest to h in c, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -720002*x + 1 - 6 + 3. Let l be r(-1). What is l rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1778787 by -197643.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = t, 3*t = 5*t - 4. Is 2\/4*m*13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0515151072 rounded to five dps?\nAnswer: 2.05152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/741 and 64\/9.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -20122?\nAnswer: 20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 19*j**3 - 8 - 34*j**3 - 31*j**3 + 9 to the form b*j**3 + y + k*j + m*j**2 and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112057 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21477*k + 21492*k = -45 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3533552 by 2.\nAnswer: 1766776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 0)*(2*y - y + 3*y) + 0*y - 3*y + y)*(1 + 0 + 1).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 2 (b) 0.1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 51 - 8 = -5*d, 3*d + 70 = 5*j. Let k = -2 + j. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17296 is divided by 1729?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**5\/30 - 5*i**4\/6 - 50*i**3\/9 - 1155*i. Solve x(a) = 0.\nAnswer: -10, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -201*o**2\/2 + 7*o - 4. Is m(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(152 + 263 + 10)*(5*b - 3*b + 3*b)*(-6*b**2 + 7*b**2 + 5*b**2).\nAnswer: 25500*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*((-176)\/(-15))\/2*1290\/1032.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + 0.04. Let r = y - 0.0300035. Round r to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 406.2 - 411.942. What is o rounded to 1 dp?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2586097 and 1374?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*h**2 + 71*h**2 + 41*h**2 + 29*h - 24*h**2 wrt h.\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 519412801*g**3 + 461306132.\nAnswer: 1558238403*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 184*p - 85 + 6893 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159213 is divided by 389?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (7\/5)\/(27\/(-135))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56 or 53?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let v(x) be the first derivative of -776*x**3\/3 - 17*x**2\/2 - x - 3846. Give v(n(j)).\nAnswer: -776*j**2 - 17*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*h**2 - 17*h**2 + 3 - h + h**4 + (-2*h**3 + 5 - 5)*(-2*h - 3*h + 3*h) as z*h**4 + g*h + q*h**3 + o*h**2 + i and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -w + 2*w - 5*m, 5*m = 25 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 + 3*i. Suppose 10*m - 6*m = 12. Suppose -3*a - m = 18. List the prime factors of c(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66847 less than -456?\nAnswer: -67303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 871 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117035181 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3569, 5, 0 in increasing order.\nAnswer: -3569, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1. Let d(y) = 2*y - 3. Suppose -5*c - 1 = 3*p + 9, 4*p + 5*c = -15. Calculate p*o(h) + d(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + (-32 - 80) + 107 - (-40 + -3).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from zxxxzzzxzxzzxx?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50, -214, -480, -842, -1294, -1830?\n\"Answer: q**3 - 57*q**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 15 = 5*f. Let u be (3 + f)*3\/(-2). Solve 2*i + 0 = -5*l + 2, -5*l - 3*i + u = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a - 2*a + 3 + 1. Let v = -16 + 34. Let z = -13 + v. Let k(u) = -6*u + 5. Determine z*s(y) - 4*k(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -868307 + 868307 + 12*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -49. Solve q = i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77709.7 centuries to decades.\nAnswer: 777097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14064, -14057, -14044, -14025, -14000, -13969, -13932?\n\"Answer: 3*l**2 - 2*l - 14065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/6720 - 7*n**6\/1920 + 3*n**5\/160 - n**4\/12 - 4*n**3\/3 + 39*n**2. Let o(d) be the second derivative of h(d). Factor o(x).\nAnswer: 3*(x - 6)*(x - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4594 + -0.0056. Let f = k - -4.465. Which is the nearest to 0.1? (a) 0.1 (b) f (c) -0.2 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 103, 236, 433, 700, 1043?\n\"Answer: c**3 + 23*c**2 - c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1115, -1\/8, -2\/3, -1, 37 in descending order.\nAnswer: 1115, 37, -1\/8, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -494 > -1\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 6aca?\nAnswer: -6ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 - 692*f**3 - 88920*f**2 - 5017900*f - 104599750.\nAnswer: -2*(f + 61)*(f + 95)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4560*p = 4606*p + 1748 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(242) - sqrt(242)) + sqrt(242))**2 + 1.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1653 = 1799*b - 1735*b + 1355 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4040780*q**5 + 20485102*q.\nAnswer: -80815600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-28) + (-783)\/(-189)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2815700 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - 319258785.86.\nAnswer: -319258837.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = 2*v. Let t be -243*(3 + v + 2). What is the highest common factor of t and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 0.6963, 0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 537?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 549*v + 2 + 469*v.\nAnswer: -80*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 245*b**4 + 25684260*b**3 + 672729348590*b**2 - 21739630988220*b + 175523918275205 = 0.\nAnswer: -52433, 113\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -419 and 863235?\nAnswer: -361695465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1074767976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let r(o) = -o. Let w(p) = -10*p + 4. Let x(k) = 9*k - 3. Let j(h) = -3*w(h) - 4*x(h). Let l(t) = 4*j(t) - 21*r(t). Give l(z(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 36 + 13*u + 19.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l = 83*l - 31564. Let q(c) = c**3 - 3*c**2 - 4*c + 2. Let y be q(4). Suppose y*h + 5*o = l, 6*h - 2*h = -2*o + 1238. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyciifgffifi. What is prob of sequence gy?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -717*o - 5040. Give q(-8).\nAnswer: 696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -188?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42432 - -59075. Is 37 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384411947 divided by 3.\nAnswer: -384411947\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 66*s - 385. Let k be b(6). Sort k, -2, -0.3, -5.7, 2 in ascending order.\nAnswer: -5.7, -2, -0.3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 9:06 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/6 and 38\/116937.\nAnswer: 233874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 12:06 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1781823416 to the nearest integer?\nAnswer: 42212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1179*r**4 - 21*r**2 - 7*r?\nAnswer: -28296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 333.3 - -106.7. Let y = -437 + d. What is the nearest to 0.1 in y, 0.03, -3\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -441 + 621. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2021*h**2 - 4044*h**2 - 446 + 2024*h**2 + 88 in the form i*h + q*h**2 + c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -34959699\nAnswer: 13983879.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*q - 3*q + 255 = 0, 0 = 3*z - q - 154. Calculate the remainder when z is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -13 + 16 + (-11 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(((-2)\/(-6))\/(16\/12)). Which is the closest to -5? (a) s (b) -1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 6. Let r = 13 + -31. Let v(t) = t - 1. Let d(z) = r*v(z) + 3*c(z). Let p(k) = -k**2. What is p(d(m))?\nAnswer: -81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 9. Let u be p(-10). Let v be -4 - -1 - -5*u. Let q(m) = 2*m**2 + m - 1. List the prime factors of q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 + 177. Solve -f - 7 = d, -3*f + x = -10*d + 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 7*r - 16 = 0. What is the remainder when 62 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:16 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -496 divided by -3?\nAnswer: 496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 494.\nAnswer: -49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1510 (b) 1 (c) 5 (d) 94\/27 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - b**2 - 2*b + 13. Let g be s(0). Is 12 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397277?\nAnswer: 3, 7, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(196)\/(2*sqrt(576)))\/(sqrt(448)*1*2*3).\nAnswer: sqrt(7)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3925 + -3765. Is 162 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/32855 and 91\/4.\nAnswer: 131420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from owooculiwwwuluw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let f(p) = 9347*p**2 - 36*p + 2. Give f(n(q)).\nAnswer: 9347*q**2 - 36*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n - 38*n - 6*n + n - n - 2*n + (-3 + 3 - n)*(1 + 4 - 3).\nAnswer: -37*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25947 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.1 (c) -152 (d) -1\/206 (e) 33 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111011 (base 2) in base 5?\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -25 (c) 20.9745\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601.9395 decades to months.\nAnswer: 72232.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 60.2. Let v = i + 1.80000173. Round v to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4026 and 5742?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/17 and 49\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 90*r - 15*r**4 + r**4 - 1725*r**2 + 1851*r**2 - 202*r**3 = 0. Calculate r.\nAnswer: -15, -3\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/((-4)\/(-8)). Let f(z) be the third derivative of z**6\/120 + z**3\/6 + 4*z**2. Let y be f(0). Solve 0*m - m - y = a*n, 2*m + 1 = -5*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1136*h**5 + 18*h**2 - 27*h - 3*h**4 - 15*h**4 - 1133*h**5 + 24*h**3.\nAnswer: 3*h*(h - 3)**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + -12 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530869 smaller than 530917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 3, 3\/4, -0.4, 2, 2.29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 v, and 1 t when four letters picked without replacement from tmcvtmvttyom?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 248662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*r - 182, 3*b + 0*r + 3*r = -249. Is b less than or equal to -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -901*a**3 - a**2 - a. Is n(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1722*c + 6822. What is r(-4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 439.63812 minutes in days?\nAnswer: 0.30530425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*y = 44252, -13*a + y + 265421 = -a. List the prime factors of a.\nAnswer: 3, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 376369 - 376397 - ((1 + 0 - (0 - 13)) + 1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3015648 - -1914352. What is w rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325171, -649311, -973451, -1297591, -1621731, -1945871?\nAnswer: -2270011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 0*n - n)*(4 - 6 + 0) + 3*n - 2*n - 3*n - n + 2*n + n - 3*n - 12*n - 8*n - n - 1 + 1 in the form i + k*n and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + 4 + (sqrt(425) + 0 - sqrt(425)) - (5 + 2 + sqrt(153))**2.\nAnswer: -198 - 37*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1412142 (base 5) to base 14.\nAnswer: -a82b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**3 - 19*y**2 + 324*y - 128. What is the hundreds digit of m(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from mnnmnmnmnnmnnn?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 53, 80, 107, 134, 161?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**2. Let d(l) be the first derivative of -7*l**3\/3 - 1. Let h be (1*15)\/((-10)\/(-4)). Give h*z(r) - 7*d(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(2 + sqrt(180)) + 1 + sqrt(180) + -1)*-6 + 1)*-3)**2.\nAnswer: 44712*sqrt(5) + 529641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpff. What is prob of picking 3 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o**2 - 24 - 18050*o + 18052*o + 74*o**2 + 24.\nAnswer: 49*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uii when three letters picked without replacement from {u: 5, i: 11}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/((-26)\/(-120))*(-1)\/2. What are the prime factors of (-75)\/g*(2 - (-632)\/(-10))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -142 and -142 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q\/q**(2\/7))*q)*q*q*q\/q**(-1\/2))**(-16)\/((q*q*q**0*q)**46\/(q**(-2\/7))**(-31)) assuming q is positive.\nAnswer: q**(-1376\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 12. Suppose -3*c + 4*c = 2*r - 3, 0 = -c + 5*r + w. Let j(z) = -z**2 - 8*z + 3. Calculate j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 1. Let n(i) = -2*i - 2. Suppose 0 = 3*o + 2*u - 4 + 17, 0 = o + 5*u. Give o*p(w) + 4*n(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*c = 384*c + 240 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16371 <= 16371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*k + 86*k - 16*k - 54*k - 152*k.\nAnswer: -208*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23.59497, -41, 2\/5.\nAnswer: -41, -23.59497, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2\/21*f**3 - 7 - 3\/7*f**2 + 8\/7*f. Find y such that i(y) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 62\/(-6) + (-35)\/21. Is g at least as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(y + 2*y - y)*(y - y + 4*y) - 83654*y + 83654*y - 7310*y**2.\nAnswer: -7302*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 303964708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -13*b**6\/60 + b**5\/60 - b**4\/6 + b**3\/6 + b**2. Let u be p(-3). Let g = 1059 - u. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, i: 6, t: 5, c: 1, j: 5, u: 1}. Give prob of sequence itit.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4131298 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41882 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: Suppose 56*t + 246 = 97*t. Let i(m) = -m - 5. Give i(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k**2 - 5*k - 15. Let h(u) = -4*u**2 + 2*u + 6. Let w(i) = -2*g(i) - 5*h(i). Let r(a) = 40*a. Give w(r(v)).\nAnswer: 3200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 6*b. Let r be k(-5). Let l(z) = z**3 - 6*z**2 + 4*z + 7. List the prime factors of l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/13, 0.1, -27, -1, 12, 1 in decreasing order.\nAnswer: 12, 1, 5\/13, 0.1, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1235882 rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d - 10 - 9*d**2 - 8326*d**3 + 33378*d**3 + 10747*d**3. Let n be w(-10). What is n rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6921 - -16246. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 6*l**4 + 1604*l**3 + 61248*l**2 - 42084*l - 20774 = 0.\nAnswer: -221, -47, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1506 and 6643719.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1283*a**3 + 1287*a**3 + 1330*a**3 - 6732*a**3 + 1345*a**3 + 1342*a**3.\nAnswer: -145*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6605492 + -8?\nAnswer: 6605484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 24 - 3 = 0. Calculate the remainder when 13 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4974a8 (base 11) to base 10.\nAnswer: 785892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0 + 0*o + 1\/2*o**3 - 33*o**2 + 1\/60*o**5 - 1\/6*o**4. What is the units digit of y(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a - 8 = -18*a, 2*w + 6 = -4*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 85. Let g be o(20). Solve g*l - 16 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16843 + 1?\nAnswer: 16844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -65, -63, -61?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and 192?\nAnswer: 192.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 306*t**2 + 2140*t + 30. What is v(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 20 (b) 3 (c) 0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = 7. Suppose u + 5*t - 7*t = -23, 0 = u - 3*t + 20. Let k = u + 40. Solve 3 - k = w*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (48\/(-100)*-20)\/((-6)\/(-555)).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175310 is divided by 87251.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b\/b**0*b)\/b*b)*b*b**(-4)*(b**(-2\/3)*b)**(-30)*(b**(-1))**48*(b**(1\/4)*b)**(-41) assuming b is positive.\nAnswer: b**(-453\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71664521 to the power of 1\/2, to the nearest integer?\nAnswer: 8465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 432\/(-44) - (105\/33 - 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 19*d**2 - 15*d + 7. What is z(-18)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -m + 2*m - 6, -m - 15 = -5*j. Let r(q) = -q + 3*q - q + j*q. Let a(t) = -2*t**2. Give r(a(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 1. Let k be a(-1). Let r(j) = -101*j + 299. Let n be r(3). Let y be -10 + 9 - (k + n). Solve 3*b = 4*c - 1, 4*c + y*b = 3*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26877, 26876, 26873, 26868, 26861, 26852, 26841?\nAnswer: 26828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + sqrt(175) + 0 + -1 + 2)**2.\nAnswer: -844 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 8:25 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 - 163*n + 94. What is k(-55)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-36))\/(1*(-4)\/(-6)). Factor -1\/4*o**2 - x*o**3 + 0 + 0*o.\nAnswer: -o**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 1. Let z(g) = -9*g + 30. Let r(m) = -3. Let v(c) = 6*r(c) + z(c). Let w(x) = -12*d(x) - v(x). Let n(a) = -4*a. Calculate n(w(b)).\nAnswer: -84*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 7*y**2 - 9*y + 2. Let r = -14 + 22. Calculate g(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**9\/15120 + g**7\/1260 - g**5\/120 + g**4\/4 - g. Let h(d) be the third derivative of f(d). Suppose h(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3\/6 + 5*m**2\/2 - m. Let d(x) = x**3 - x**2 - 2. Let v be d(-2). Let w be (16\/28)\/((-2)\/v). Give a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1024623\/22562 + -2641\/58. Find the common denominator of -57\/4 and y.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(85)\/sqrt(5))*4.\nAnswer: 8 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21443*m - 15302 wrt m?\nAnswer: -21443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*d - 4*f, -f = 1 + 3. Suppose d = g - 6*g. Let j be 16\/(-20)*1\/2. Which is the nearest to j? (a) -6\/11 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -12*v. Let w be s(-1). Let t be (16\/w)\/((-3)\/63). What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 33258462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4005, -4005, -3997, -3975, -3933, -3865?\nAnswer: -3765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*m + 15*m - 36 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 10:01 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o + 48 = -56*o. Let p(m) = 2*m**2 + 15*m + 1. Calculate p(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-16)*z))*z**(-10))**(-21\/4)*z**(-1\/3)*z*z\/(z\/(z\/z**(-1\/7)*z)*z)*((z**(-1\/3)*z)\/z)**(2\/121) assuming z is positive.\nAnswer: z**(450787\/3388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/64 and -167\/46646688.\nAnswer: 93293376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9 and 9125.62485?\nAnswer: 9116.62485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7986 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33562 (base 7) to base 8.\nAnswer: 20511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57605510*r**3 + 5013426 with respect to r.\nAnswer: -172816530*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 365105342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15358 + 22698. Let i = -5 - -1. Is 0 + g\/(i + 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) -2\/3 (c) 5\/4 (d) -0.5 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/15 + 13\/30. Let c be 1\/4 + 5\/(-20). Factor -d*p**3 + c*p**2 + 0 + 1\/2*p.\nAnswer: -p*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmcnnnmnccm. What is prob of sequence mtc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10))\/((-4)\/10). Is 4 a factor of 12\/((-15)\/(-6) - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 53885307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 140 = -232. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:36 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 3*a + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19960 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -391*g**3 - 68*g**2. Let i(c) = -17*c**3 - 3*c**2. What is -3*d(p) + 68*i(p)?\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 347183716?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 - -97. Suppose 5*l - 4*s - 7 = p, -2*l + 3 = -3*s - 4. Do 3\/85 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -1 + 0*l**2 + 1\/15*l**5 - 1\/9*l**3 - 1\/12*l**4 + 0*l + 1\/18*l**6. Factor x(q).\nAnswer: q**2*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, f: 1, j: 6, p: 7}. What is prob of sequence jcf?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17727187.\nAnswer: 3137, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q - 4. Suppose -4*h - h - 2*a = -7, -q*h = -4*a - 22. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1606743*t*w**4 + 620*t*w**2 + 154*t*w + 2*t - w**4 + 54*w**3 - 29*w**2 wrt w?\nAnswer: -38561832*t*w - 24*w + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/900 and -65\/18.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-30))\/(6\/24). What is the nearest to 2\/7 in 2, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from drydytrdyrtryryz.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8027 + -3246. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 = 7*v + 3*f, -121*f - 466 = v - 126*f - 101 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 15}. Give prob of sequence qfq.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 90 = -2*u. Let o be (177 + 0)*(5 - (-42)\/(-9)). Suppose 3*l - n - 11 = o, -l + 3*n + u = 0. What is the highest common factor of l and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -1050, -2948, -5752, -9462, -14078, -19600?\nAnswer: -26028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5522 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7f08 (base 16) to base 6.\nAnswer: -410320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-3 - (4 - (-4 + 14)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-8))\/((1155\/(-112))\/(-55))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a8 (base 12) to base 2.\nAnswer: -1111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 + 124.983. Let w = 0.127 + f. What is w rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/36 and -91\/237660.\nAnswer: 712980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h - 1. Let y(a) = 3*a**3 + 9*a**2 - 8*a + 7. Give 6*v(g) + y(g).\nAnswer: 3*g**3 + 3*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8976)\/(-42) - -5) + (-2)\/(-7). Suppose 5*g = 531 + v. Suppose 3*c - g = -2*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1241 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-8)\/(-280) - 7696148\/(-1295)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**2\/2 + 6*a + 137. What is z(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1225049060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -2\/7, 208, 209?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -129225*y - 8141138. What is v(-63)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gff when three letters picked without replacement from {g: 9, m: 9, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 18) + -45 - 14?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3869909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*f + 58, 11 = -o + 2*f - 9. Let p = -14 - o. Let d = 2 + p. Solve -3*h + k - 5 = 0, -2*k = d*h - h - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41145024 to the power of 1\/2, to the nearest integer?\nAnswer: 6414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33298929.\nAnswer: 3, 31, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, s: 15}. What is prob of picking 3 s?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -7\/6*v**3 + 0 + 0*v**4 + 0*v**2 + 0*v**6 + 3*v + 0*v**5 - 1\/42*v**7. What is the second derivative of d(w) wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -1218*m + 1215*m + 3, m + 5*k = -7. Suppose 3*j = -2*i - 31, 28 = -3*j - i - 4*i. Put -4, j, m, -2 in decreasing order.\nAnswer: m, -2, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 2. Suppose -a*s = -5*s + 357. What is the common denominator of s\/2*2\/(-20) and -51\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220010221 - -12?\nAnswer: -220010203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82766223 to the power of 1\/3, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 271081219 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31031 and -14620?\nAnswer: 45651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1669295874453+2.1\nAnswer: -1669295874450.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 11*c**2 + 5. Let i be x(-11). Let m be (-100)\/36 + -2 + i. Let g be (-8)\/18*(-2)\/48*-12. What is the fourth smallest value in g, 2\/7, m, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -11) + (-1 - -5 - -13)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -488*g**2 + 5*g + 5. Let a(n) = 245*n**2 - 3*n - 3. Calculate 5*a(h) + 3*d(h).\nAnswer: -239*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 21*y + 2 + 0.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 7*r + 6. Suppose 2*f - 24 = -2*f. Let z be n(f). Suppose -x + z*x = -133. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/27)\/((-204)\/(-102)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3675\/(-750)*3\/((-126)\/15))\/((-6)\/3).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**5\/4 + 2*v**4\/3 - 3*v**2\/2 + 2*v. Let c(z) = 1. Let m(s) = 3*c(s) + h(s). Find the third derivative of m(g) wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/162*(-4)\/((-176)\/(-36)))\/((-948)\/(-869))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -60*j - 1490. What is the remainder when 135 is divided by q(-26)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*p**3 - 2*p**2 - 350*p.\nAnswer: 162*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 226 = 192. Suppose 9*y = a*y - 232. Calculate the highest common factor of y and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2695 and 1470.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -349.9 take away -2247.60051?\nAnswer: 1897.70051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 124*f - 178. Let h be m(-13). Find the common denominator of 3\/1 - (-88)\/(-9) and h\/780 + 2\/4 - -2.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -135\/453017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drdrrsrsd. What is prob of sequence rrsr?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejjeejelggg. What is prob of picking 4 e?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4\/7 + 15*k**3 - 942*k**2\/7 + 120*k = 0 for k.\nAnswer: 0, 1, 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13997476?\nAnswer: 2, 3499369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*n + 0*n - 2250 = 0, 0 = z - n - 559. Is 25 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r. Let k(t) = 10*t**2 + 8502826*t. Give k(l(s)).\nAnswer: 10*s**2 + 8502826*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wurbxhw. What is prob of sequence wwxh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 203\/(-28) - 1\/(-2) - -2 and -52\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 734146094395\/12177 + -60289570. Let m = l + -2\/451. Suppose 2*i + 2 = -3*x + i, -3*x + 5*i = -28. Is x bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -2*r - 175*r**2 + 3 - 248*r**2 + 6*r - 43*r**2. Let y be q(-3). What is y rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 465*g**3*m**3*t*x - g**3*m**2*t - 6*g**3*m**2*x - g**2*m*x + 24*g*m**2*t*x + 2*g*m*t + 20040*m**3*t*x - 8*m**2*t*x + 16 wrt m?\nAnswer: 2790*g**3*t*x + 120240*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 350 = -15*k. Are -67 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -518 - -521. Let a(q) = q**2 - 5*q - 4. Let y be a(7). Suppose y = 2*u + 2. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = l - 5*l, 5*w = -4*l - 1. Let a = l - -28. Let z = a - 25. Calculate the lowest common multiple of z and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/6 + 4*j**3\/3 + 3*j**2\/2 - 3*j + 3. Let y(l) be the first derivative of a(l). What is the tens digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 14 - 15*j + 14*j - 261. Let b(v) = -16*v**2. What is b(m(a))?\nAnswer: -64*a**2 + 17600*a - 1210000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 9, -50, -153, -312, -539?\n\"Answer: -2*i**3 - 4*i**2 - i + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (22\/40 + 59\/(-1180))*21022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1353 (base 8) to base 13\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 - 3*j - 4. Let a be q(-3). Suppose 3*d - 474 = 3*t, 37 = d + 4*t - 136. Let f = d - 148. Solve -o - o - f = -x, -20 = -a*x + o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 632 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/11998134 and -47\/151110.\nAnswer: 59990670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052071 minus -0.02?\nAnswer: -0.032071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/93 and -35\/58182.\nAnswer: 1803642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102110010202 (base 3) to base 2.\nAnswer: 110111000001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.3 - 4. Let w = -33 + 167\/5. Let d = -4588.6 + 4589. What is the closest to w in y, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 4*q - 25 = 0. Let z be ((-315)\/1)\/q + 4. Let j = z + -38. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 589.3766 hours?\nAnswer: 2121755760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1136?\nAnswer: -3\/1136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 11:28 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7752 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, y: 6, r: 2, n: 1, l: 5}. What is prob of picking 1 y and 1 r?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7419, 14802, 22173, 29526, 36855, 44154?\n\"Answer: -c**3 + 7390*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -569288 smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -1\/6*i**3 - 5\/2*i**2 + 2 - 4*i. Calculate g(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from {j: 3, t: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46266?\nAnswer: 2, 3, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -73*l**2 + 6. Let s(k) = -25*k**2 + 2. What is -6*r(a) + 17*s(a)?\nAnswer: 13*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6\/11)*i)\/i**4*i**(-5)*i**(-2\/9) assuming i is positive.\nAnswer: i**(-868\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 2*w - 3*w + (-1 + 0 + 0)*(2*w - 4*w + 4*w) + 2*w - 5*w + w + 0 - w + 0 - 2*w + 4*w - 3*w - 9*w + 7*w + w + 3.\nAnswer: -9*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 1\/12*h**4 + 3*h + 0*h**2 + 0 - 1\/20*h**5 + 0*h**3. Find a such that i(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 2) + (-6 - -9 - 2) - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*-11*2. What is the common denominator of -18 - 6\/(-4)*1 and 1\/10*v + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Suppose -3*f + 28 = 1. Suppose 3*b - f = 18. What is the highest common factor of b and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 2*b. Let f be (-5)\/(-1) + (b - 9). Find q, given that 2\/3*q**f + 0 - 2\/3*q = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 + 297. Suppose -5*z = 2*r - n, 0 = -2*r + 6*r - 8. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 (base 12) in base 3?\nAnswer: -200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h + 12*h)*(-3*h + h + 0*h).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1043*s + 852. Calculate u(-1).\nAnswer: 1895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6424351 is divided by 104?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssss. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14699 or -1293405\/88?\nAnswer: -14699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 784 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j. Let h(p) = 4*p - 3. Let u(g) = -9*g + 7. Let l(x) = -7*h(x) - 3*u(x). Let t(c) = -3*l(c) - o(c). Let q(d) = -5*d. Determine t(q(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 960011 or 6720072\/7?\nAnswer: 6720072\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + -12 + 8 - (-156 + 148)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 39*l**3 + 2*l**2 + 3*l + 2. Let i be d(-1). Let y = -35 - i. Let r(c) = 31*c**3 - 5*c**2 + c + 2. Is r(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59.73 - 1.27. Let q = v - -60.69. Let s = q - -0.310002. Round s to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51058680*o - 51058354*o - 652 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 113.39757636?\nAnswer: 111.39757636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/5)*(q*q*(q*q**(-1\/3))\/q)\/q*((q\/(q*q*q**(-3)))\/q*q)\/q*q\/q**3 assuming q is positive.\nAnswer: q**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4 + 8 + 1 + 1 + (-3 + 2 + 0)*(-3 - 1 + 3))*(3*t - 3*t - t**3).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -221*h + 10*h + 493 + 351 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201022120201100 (base 3) to base 9.\nAnswer: 21276640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4510*f + 30 + 37 - 67.\nAnswer: -4510*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*h = 5, 2*h - 3 = 5*a - 4*a. Let c = -916.5 + 319.1. Let f = c - -597. What is the second smallest value in -0.09, a, f?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 78 = 204 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 - 2*a**2 - 15*a - 10. Determine z(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3*sqrt(1872) - sqrt(1872))*5 - (-1 + sqrt(1872) + sqrt(1872))*3)**2.\nAnswer: -1872*sqrt(13) + 1265481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*((-54)\/6)\/18.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.079 in -0.3, -1, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 17282297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 4, -29*v + 9 = 2*p - 28*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**3 + 2*b**3 + 40*b**2 - 36*b**2)*(1607 - 258*b - 1607) in the form p*b**3 + a*b**2 + q*b + k*b**4 + h and give p.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -7*h - 9. Suppose 2 = -g, 5*q = h*q + 3*g + 10. Solve -2*v = -4*l - 10, q*v = -0*l - 3*l - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-42))\/(16 - -15*247\/(-234)). Let -b*l**2 + 18\/7*l + 3 = 0. What is l?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5054 is divided by 91?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Suppose -5*q + 4*n - p = -4, -5*q - 2*n = -14. Let w be -5*(-9)\/(-315) - 5\/(-35). Which is the closest to 0? (a) q (b) -0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 1645?\nAnswer: 1645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1873 at most as big as 12950\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 105309, 209589, 313869?\n\"Answer: 104280*m + 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -200*d + 2499. Determine v(11).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000110001 (base 2) to base 13.\nAnswer: 94c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*q = 1, 20 + 3 = -3*x + 4*q. Let i be (2 - -9) + x - 91. Which is bigger: -83 or i?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 328 - 739 = 2749. Is 20 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*x + 0 + 33*x + 3)*(-x**2 + x**2 - x**2) in the form h*x + s*x**3 + v*x**2 + b and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 + 14*n - 6. Let f be d(-4). Solve f*t - 2 = -4*x, t + 2*t = -2*x - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 326 = -50 + 196 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**4 - 2*h**2 + h**3 - 1\/10*h**5 + 0 + 7*h. Solve y(x) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 982839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 + -1 + -1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -15. Suppose 2*d - 2 = -4*t, f*t - 3 = -7*d + 4*d. Suppose -8 + 3 = -m. Sort t, m, 3.\nAnswer: t, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 4*h + 6. What is the least common multiple of h and 19?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214.804 millennia in centuries?\nAnswer: 12148.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5481450 divided by 23425?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a3 + 3620?\nAnswer: 3a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 187524013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - a = -42743, -15*z + 12*z = -3*a - 25617. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 t, and 1 z when three letters picked without replacement from {h: 3, z: 3, t: 2}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 1:31 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-40)\/(-28)*-1*35\/(-80))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**4\/38 + 2*d**3\/19 - 4*d**2\/19 - 24*d\/19 + 90. Factor y(p).\nAnswer: 2*(p - 2)*(p + 2)*(p + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 55 = 46, 0 = -g - w + 53. Calculate the greatest common divisor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**10\/336 + 11*f**6\/120 + f**3\/3 + 15. Let a(n) be the third derivative of p(n). Find the third derivative of a(l) wrt l.\nAnswer: -1800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 10*a + 9. Let u be c(-11). Let n be ((-32)\/(-56))\/(u\/(-7)). Solve -2*r + 6*r + 4 = -n*f, -4*r = f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 12. What are the prime factors of w(13)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-21))\/((-2)\/12). Suppose 0 = -q*z + 16 + 4. Suppose -2*b - z*f - 35 = -7*b, 0 = 3*b - 2*f - 21. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 4:03 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -35. Let n(s) = -4 + 5*s + 2 + 1. Let m be n(c). Solve -5*o - 2*j = 7, 3*o + 4*j + 3 + m = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (61 - (130 - 38))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182203?\nAnswer: 7, 26029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 55*z**2 + 2*z - 2. Let v = 30 + -33. Is q(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + 9 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 714, 2871, 6490, 11565, 18090?\nAnswer: 26059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 883517063?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 2) + 0 + 12. Let f be 8 + 1*4\/2. Suppose 15 = 5*j - f. Solve j*a + l = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:44 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 2) to base 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 175164.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2 + 1121*p = 0.\nAnswer: 0, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 754540729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4298 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 194060 divided by -48515\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.9 - 21.7. Let q = 0.082 + -0.062. What is the third biggest value in 2\/11, -1, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.41463 nanometers in millimeters?\nAnswer: 0.00002041463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + sqrt(78)\/sqrt(6).\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -8 - (3 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.43 less than 948880?\nAnswer: 948914.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 20 = -0*g. What is the highest common factor of 100 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1362*k**2 + 145*k - 145*k - 2 + 2 + (-1 + 1 - 2*k)*(0*k - 5*k + 4*k).\nAnswer: -1360*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30 = -5*a - 0*a, -5*a - 6 = -4*z. Suppose 2*x + z*i - 9 = 11, 4*i - 4 = 2*x. Calculate the remainder when 37 + 1 - (x + -2) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let w(d) be the first derivative of -d - 8 + d**z - 3*d + 4*d. Let g(b) = -3*b**2. Determine g(w(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 121*n**3 - 4*n**2 - 50*n**3 + 4*n**2.\nAnswer: 71*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 5*x**2 + 8*x - 9. Let p be r(6). What is the second derivative of 4*b**2 - 1 + p + b - 2 wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1940.9820661 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133485 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40087759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040976751 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(3))*1.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*w - 404 = 0, -5*r - 4*w = -403 - 107. Let m = 12 + 10. What is the remainder when r is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001726666 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -22*i**2. Let b(p) = -35*p. What is b(q(o))?\nAnswer: 770*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 477*t**5 - 6*t**3 - 7619*t.\nAnswer: 9540*t**3 - 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -5*w - 0*q, w + 5*q - 10 = 0. Suppose v - 4*a + 4 = w, 2*v - 2 - 12 = -3*a. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9647793.\nAnswer: 3, 1071977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 377*n**4 + 184*n - 1 wrt n.\nAnswer: 4524*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(84) + sqrt(84)) - (sqrt(84) - -2*sqrt(84))*1)\/(-1*-2*sqrt(1200)*1).\nAnswer: -7*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-21)\/(l**(-3\/17)\/l))\/(l*l\/(((l\/l**(-13))\/l)\/l)*l)**20 assuming l is positive.\nAnswer: l**(2723\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/84*9\/2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/578 and 129\/170.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - 100?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*x - x - 1 + 1 + (-3 - 1 + 3)*(-x - 2*x + 4*x) - 2*x + x + 0*x)*(5 - 9 - 1).\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**6)\/(y*y*y**(4\/11)))\/(y**(-4)\/(y*y**(1\/3)\/y)))\/((y**(2\/5))**(-35)*y**(2\/11)*y*y**(-3)) assuming y is positive.\nAnswer: y**(818\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bszz when four letters picked without replacement from {z: 5, n: 2, x: 4, c: 2, b: 2, s: 4}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -1\/4*s**4 - 6 + 0*s**2 + 8\/3*s**3 + 5*s. Is a(7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3058 = -79*w - 660 + 3527 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10065.4439 - -10066. Let h = q - 0.56. Round h to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16332308 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39396, -39439, -39482?\n\"Answer: -43*n - 39353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 87?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012 times 1890?\nAnswer: 22.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most as big as -12088\/1723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-nine quarters of a microsecond?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, 19, -2, -4, 17, -13 in descending order.\nAnswer: 149, 19, 17, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + m)*(-2929 + 10806 + 5396)*(0 - 1 + 0)*(4*m + 0*m - 2*m)*(m**2 + 0*m**2 + m**2).\nAnswer: -53092*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q*z**4 + 1622*q*z**2 - 3595*q with respect to z.\nAnswer: 4*q*z**3 + 3244*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-9) + 2 + (-3768)\/(-18). Calculate the greatest common divisor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*t - 392 - 4 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 316?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -13916.\nAnswer: 3\/3479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 377276?\nAnswer: 377276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23101 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/2 + 5*x**3\/2 - 3*x**2 = 0. Calculate x.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/4 + 33*h\/4 - 9 = 0. What is h?\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*w + 2*i - 51 = -81*w + 6*i, -53 = 5*w - 4*i for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(64)*-2))\/((sqrt(64)*2)\/sqrt(2)).\nAnswer: -sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4\/5 - 17211*v**3\/5 + 13776*v**2 - 68892*v\/5 = 0. Calculate v.\nAnswer: -5741, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.747665 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28376733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10321121112 (base 4) to base 5.\nAnswer: -312034140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -881?\nAnswer: -884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 798091, 1596042, 2393991, 3191938, 3989883, 4787826?\n\"Answer: -s**2 + 797954*s + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = 4*j - 2, -5*f + 13 = -3*j. Suppose 0 = -4*i - 5*y + 61, y + 31 = -f*i + 6*i. Calculate the greatest common factor of 63 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66392\/48)\/193*-6\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 8*b**2 - 5*b + 6. Let q = 712 - 719. Determine g(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143126?\nAnswer: 2, 71563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -1)*((-18)\/(-2) + 1). Suppose -6*r = -38 - k. What is the greatest common factor of 54 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2613 + 2669. Which is the third biggest value? (a) 4 (b) p (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*g = -g + 18, -18 = 4*n - 5*g. Let c = 3 - n. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745 = 47*a + 134. Solve -a*o - 8 - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17040?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39856190.\nAnswer: 2, 5, 11, 32939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(448))*-3 - -4*sqrt(448)*-2 - -2*sqrt(448)*2*-3)**2.\nAnswer: -1104*sqrt(7) + 237001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -70. Calculate the remainder when 97 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 432241 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 241145, 10 in descending order.\nAnswer: 241145, 10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5)*x)\/x*(x\/(x**(-2\/9)\/x)*x)\/x*x**(4\/7)\/(x*x**(-3\/7)) assuming x is positive.\nAnswer: x**(73\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -25 + 1 + -1 + 3 + -3 - 69.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -4005471.\nAnswer: -8\/4005471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most as big as 922\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -587 + 588.6. Which is smaller: 21 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9114488?\nAnswer: 2, 73, 15607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96*x - 24 + 78 + 317*x - 685 wrt x.\nAnswer: 221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybhhahahhbhbahahhhfa. What is prob of sequence af?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:40 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 14*s**2 + 2. Let g be a(-14). Suppose -2*d = -10, g*h = -3*d + 2*d + 13. What is the second derivative of 3*o**h + o**4 + 17*o - 13*o wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198796635 = -250*t + 469*t - 264*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 171716\nAnswer: 686864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = -5*k + 3*h, 0 = -3*h. Let b(c) = -4*c + 7*c + 2 + 0*c. Calculate b(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56153171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**2 - 139*r + 138. Let l be t(1). Let o = -3.93 + -0.07. What is the second biggest value in 3, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(0 + -3)\/(-3). Let d be -3*(p - 4\/12). Let a(i) = 2*i - 5. Let b be a(d). Solve 7*h - b*h - y = 16, 5*h = -3*y + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 4) to base 10.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + q**3 + 3*q**3)*(-q - 4 + 4) + 2*q**4 + q**2 - q**2 - 1 + 1 + 6*q**4.\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - -7 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 12*i**2 + 15*i + 23. Suppose 4*h = -2*w - 46, 3*h + w + 62 = -2*h. Let r be a(h). Let y be 18 + 8*r\/6 + 2. Solve -5*x - y + 41 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*3\/12)\/((-12)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-6))\/((-8)\/(-64)). Suppose -o*r = -4*v + 376, 84 + 174 = 3*v + 3*r. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let v be (75\/10)\/((-3)\/(-4)). Let a(p) = -2*p. Let k(s) = -4*s. Let f(m) = v*a(m) - 4*k(m). What is j(f(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1 + 5. Is 8 a factor of 14\/n*(-54)\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 2*s + 0*s)*(1 - 5 + 3 + (-1 + 1 - 1)*(3 - 2 - 2) + 2 - 1 + 34) as k*s + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1823 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3169 = 2357 - 12124. Does 49 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 12 = -7*w. Let i = 0 - -7. Suppose -w*x - 129 = -i*x. 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 highest common factor of 3017501 and 16845?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 8*d**2 - 9*d - 3. Give b(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -28*n - 111. Give k(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) + (-158)\/18. Let w be s\/(-3) + (-3339)\/3. Is w\/(-4) + (-10)\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086027533 to the power of 1\/3, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:28 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 5*z - 1. Let s be i(-4). Solve 0 = -s*h - 2*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 0.5. Let k = s + -0.1. Let j = -5 + 4. Is k >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(7\/3)\/v)))\/v)**(-1\/23)*(v**(20\/3)*v)\/v*v\/(v*v*v**(2\/51)*v*v) assuming v is positive.\nAnswer: v**(4238\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50968939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a0bb3 (base 12) to base 14.\nAnswer: 1ac355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6141 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*g + 108*g - 3136 = 114*g. Solve -g*w = -40*w + 16 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 100*d**2 + 29*d - 2*d**3 - 80*d**2 - 6. Let o be s(21). Suppose 0 = -0*p + 6*p - o. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 6 - 17*d + 0*d**2 - 19\/3*d**3. What is the derivative of w(j) wrt j?\nAnswer: -38*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134045 (base 6) to base 3\nAnswer: 122020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/90 + (-426)\/(-2520). Let z(k) be the second derivative of 4*k + 0 + v*k**4 - 3\/140*k**5 + 1\/7*k**3 + 0*k**2. Factor z(i).\nAnswer: -3*i*(i - 2)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -1\/8, -17\/2501?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 2 (c) 3\/2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -1\/6*t**3 + 0 - 6*t - 3\/2*t**2. What is f(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495 is divided by 347?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 327089412+4364\nAnswer: 327093776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18357367 from -0.4.\nAnswer: 18357366.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 - -142. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358226 (base 9) in base 10?\nAnswer: -215970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 z when four letters picked without replacement from rybrzbybyyybrzyh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2129, 2131, 2133, 2135, 2137?\n\"Answer: 2*l + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 84*g**3 - 3 + 1 - g**2 + 3. Let m be r(-1). Let w = m + 124. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.1 - -9.09863. What is z rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = h - 3705, -6195 = -5*k + 4*h + h. Let u = 2391 - k. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 12:50 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 6:36 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.2 in 4740, -0.4, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 19*k + 9. Let o(s) = 5*s + 2. Let n(z) = -2*g(z) + 9*o(z). Let h(x) = -5*x. What is h(n(q))?\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -229201 (b) 0.7 (c) 3 (d) -2\/15 (e) -2\/19 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*s**3 + 26901*s**2 - 1243233*s wrt s?\nAnswer: -42*s + 53802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 19. Let l be y(8). Suppose -17 = -3*z - v + l, 3*z = 5*v + 58. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 7 = 5*r, 2*r = n + 1. Put n, -2, -12, 4 in descending order.\nAnswer: 4, n, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:38 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 - -14. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3589879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 24*y**2 + 118*y + 1693. Give l(-26).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {k: 1, y: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/64)\/(19 - (-1725)\/(-92)). Put -0.5, 4, 3\/5, -5, c in descending order.\nAnswer: 4, 3\/5, -0.5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 10*r + 11. Let m(k) = 3*k**2 + 5*k + 6. Suppose -5 - 2 = -a. Let o(u) = a*m(u) - 4*l(u). Calculate o(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 62. Sort 11, f, 4 in descending order.\nAnswer: 11, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213964194 to the power of 1\/2, to the nearest integer?\nAnswer: 14628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1278*x**2 - 1660*x - 3. Let f(o) = 1278*o**2 - 1655*o - 4. Let q(s) = 3*f(s) - 4*l(s). Find the second derivative of q(h) wrt h.\nAnswer: -2556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(sqrt(162) - 2*sqrt(162)*1).\nAnswer: 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14876705 - 3?\nAnswer: -14876708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {e: 1, o: 2, b: 3, a: 1, d: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012 (base 3) to base 14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**3 + 2*p**2 - 2*p - 3. Let k be r(-1). Let w(y) = -9*y - 63. Let m be w(k). Let x = 4 - 1. Solve 0 = -x*v - 4*s - 35, -5*s = 4*v - m*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + 4*u)*(6*u**4 - 3*u**4 - 4*u**4)*(5 - 4 + 1) - 57*u**5 + 401*u**3 - 401*u**3 + 3*u**5 - 1 + 1.\nAnswer: -58*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 3*q + 972 = 0. Calculate the remainder when q is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/3 (b) 2.5 (c) -1\/9 (d) -4 (e) -3 (f) -7 (g) -2\/1033\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**6\/60 - r**5\/15 - r**4\/6 + 5*r**3\/6 + 8*r**2 + 20*r. Let q(o) be the first derivative of b(o). Is q(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6786.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36384429 a multiple of 911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 418\/6 - 4\/(-12). Suppose t - 2*t = -b. Calculate the remainder when t is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -378.\nAnswer: -151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6704.6 - 6705. Let o = -22 + 20. Which is the smallest value? (a) -0.8 (b) o (c) i (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -24.59. Let h = r - -0.4. Round h to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1121164 by -1826.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 13*w**3\/3 - 4*w**2 - 39*w. Calculate the smallest common multiple of i(3) and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 153. Solve -t - 4*m - v = 0, 5*m = -4*t + 3*t - 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = -2, 0 = 4*h - 2*a - 32. What is the remainder when 33 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + 10. Suppose 4*a - 4*r - j = r, -3*a - 5*r + 2 = 0. Suppose 5*z + 123 = 8*m - a*m, 5 = 5*z. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -418\/195 - -31\/15. Which is the nearest to z? (a) -0.1 (b) -3 (c) -0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 1, x: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 6)*(-10267 + 10267 - 1714*r) + (-r + 2*r - 3*r)*(5 - 1 - 3) to g*r + w and give g.\nAnswer: -3430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -180 + 786. What is the remainder when z is divided by 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u**5 - 1\/24*u**4 + 0*u**3 + 0*u + 0 + 2*u**2 - 1\/40*u**6. Find the second derivative of w(c) wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 + 68*i**2 + 8*i + 35. Let t(b) = -9*b**3 - 204*b**2 - 25*b - 106. Let o(k) = -7*m(k) - 2*t(k). Find the second derivative of o(s) wrt s.\nAnswer: -18*s - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -38\/11?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b**2 - 5*b + 5. Let r(w) = 8*w**2 + 3*w - 3. Let k(m) = -3*j(m) - 5*r(m). Let a(i) = 2*i. What is a(k(l))?\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 - -15.87. Let n = m + -16.4. Let q = -7 + 6.7. Which is the second biggest value? (a) q (b) n (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:39 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 12*q - 6. Solve q = f + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 + 105. Solve 10*v = 12*v - b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -2782, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*163851.3.\nAnswer: -2949323.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9805.591 tonnes?\nAnswer: 9805591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-l - l + 0*l) - 8*l + 4*l - 15*l.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 6*k + k)*(-2*k + 3*k**4 + 2*k).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (110\/4)\/(5\/(-10) + 6 + -5). What is the greatest common factor of c and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.3. Let u = -0.37 + -0.39. Let k = u + a. What is k rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 101 = k. Suppose 0*t + k = 3*t. Suppose 52 = 5*a - t. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 50) + -7 + -20 + 25?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5022*x - 38430 = 6303*x for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -64. Let g(y) = 5*y**2 - 6*y + 6. Let h(x) = 6*x**2 - 7*x + 7. What is m*g(r) - 4*h(r)?\nAnswer: r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19031, -17366, -15701, -14036?\n\"Answer: 1665*z - 20696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7041 + -2368. Is a 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 2745, 6596, 12999, 21954, 33461, 47520?\n\"Answer: 1276*k**2 + 23*k + 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 439.2782 to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h - 4. Let i be (-57)\/(-5) - (-32)\/(-80). Suppose -5 - i = -4*r. What is s(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137902 + -74599. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 14 + 5)*(-4*w**2 + 2*w**3 - w**2 - 3*w**2).\nAnswer: 42*w**3 - 168*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*f - 20677 + 3805 = -774*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 3\/8 (b) -1\/4 (c) -0.1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 2088\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l - 77*l = 115. Let p(q) = 2*q**3 - 2*q - 3. Determine p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -295*p - 3150. What are the prime factors of s(-16)?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16*v*v**(1\/3)*v**5\/(v\/v**(-1\/9)))**(-1) assuming v is positive.\nAnswer: v**(-191\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.2636 to 1 dp.\nAnswer: -55.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 140*x - 4397. What is r(-28)?\nAnswer: -2045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -25*n**4\/66 + 1930*n**3\/33 - 37249*n**2\/11 + 67*n - 15. Factor i(d).\nAnswer: -2*(5*d - 193)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -229. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42592 and 4256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**4\/24 + j**3\/2 - 4*j**2. Give d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 85 = 5*y - 6*x, -3*y - 3*x + 39 = 0. Let h = 9 - 13. Calculate the least common multiple of (-122)\/(-14) + h\/(-14) and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23653*t**3 - 4367*t**2 + 116681*t + 454?\nAnswer: 141918*t - 8734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 - 135. Let r be (-1 - i)*38\/(-4). Calculate the greatest common factor of r and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 (base 8) in base 2?\nAnswer: 1001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (12 - -3) + -7 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/14 or -2646591?\nAnswer: -2646591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*j**2 - 140*j**2 + 30*j**2)*(9*j**2 + 14*j**2 - 5*j - 28*j**2) + (j**3 + 1 - 1)*(-3*j + 5*j - j).\nAnswer: 1066*j**4 + 1065*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -3, 652, 9, -4 in descending order.\nAnswer: 652, 9, 6, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/121)*(s\/(s\/(s\/s**36)))\/s)\/(((s\/((s\/(s**30\/s))\/s))\/s)\/(s*s*s*s**(-1\/7))) assuming s is positive.\nAnswer: s**(-52649\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6820, -100545, -3 in increasing order.\nAnswer: -100545, -3, 6820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*m - 5)*(2 - 3 - 1)*(21*m + 129*m + 77*m).\nAnswer: -908*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/27*3\/(-2). Let m = 1 - 1.2. What is the closest to 0 in j, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 1 + -2)*(3 + 0). Suppose 0 = 3*t - 0*t - 9. Solve f*j = 3*q + 9, -2*j + 5*j - q = t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5596*v + 8223*v - 1775*v - 2593*v.\nAnswer: 9451*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 48 (b) 4 (c) 1\/2 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j. Let h(o) = 3*o. Let k(f) = -17*f. Let z(y) = -14*h(y) - 2*k(y). Determine l(z(c)).\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1200613, 2400937, 3601261, 4801585, 6001909?\n\"Answer: 1200324*m + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 747796320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 12*f**2 - 18*f + 5. Give y(7).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 5*s - 2*s)*(2*s**2 - 14*s**3 + 11 - 14 + 18).\nAnswer: -28*s**4 + 4*s**3 + 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 7437913?\nAnswer: -11\/7437913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3618930 divided by -241262\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 8*s + 2. Let u be z(-8). Find the first derivative of 0*x - x**2 - 4 - x**u + 0*x wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/2 + 14\/7. Let n be (u\/(-8))\/(2\/(-24)). Put 2, 5, n in decreasing order.\nAnswer: 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -124.426335 and 26.2.\nAnswer: -98.226335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -3037?\nAnswer: 3035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.04, 0.4, -5, 2339, 0.8?\nAnswer: 2339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77805 and 483.\nAnswer: 1789515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/((l\/l**(-14))\/l*l)*l)\/(l*l*((l*l**(-21)\/l)\/l)\/l))\/(l**(13\/3)\/l**(5\/6)))**(-2\/39) assuming l is positive.\nAnswer: l**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3264.445 micrometers to centimeters.\nAnswer: 0.3264445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*y - 20 = 0, -5*w + 5*y - 4*y + 25 = 0. Solve -2*f - 7 = -w*b, 5*f + 4*b = -b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*k - 25 = -24 - 15, -21 = -4*w + 3*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2 - 25*k + 235. Let l(d) = -64*d**2 + 146*d - 1410. Calculate 35*i(q) + 6*l(q).\nAnswer: q**2 + q - 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1213*i + 1 - 773*i + 1462*i**3 - 1 + 2*i**2 wrt i?\nAnswer: 8772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*h - 26864 = 96*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 570\/185461?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84.51 - -85. Let g = d - 0.448. What is g rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Let q(z) = -z**2 + 5*z + 4. What is the tens digit of q(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -4\/81, 0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 12*p + 31. Let o be v(-14). Which is the closest to 0.2? (a) -24 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(0 + sqrt(343)) + 3*sqrt(343)*-4)**2.\nAnswer: -124509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 194985.\nAnswer: 194985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*p - k + 2*k, -2*k - 8 = 0. Let i(j) = -j**3 + 11*j**2 - 8*j + 8. Does 9 divide i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818453 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*v*v**(-14) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94.925062 + 0.187938. Let t = -0.004 + -94.996. Let j = d + t. What is j rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 259*d + 1813. Let c be r(-7). Let s be (-7)\/(105\/(-6))*10. Solve -s = 3*j + u, c*j - 3*u = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71679593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**2 - 3*b**2 + 4*b**2)*(1 - 1 + b**3) - 75*b**5 - 82*b**5 + 71*b**5.\nAnswer: -93*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10332 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 1\/20*h**5 - 5*h**2 + 0 + 1\/12*h**4 - 1\/6*h**3 - 16*h. What is f(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3, -5, -4\/5, 2187, -3?\nAnswer: 2187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20314 = 2744*c + 13158 - 544 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1375 and -77058107348.\nAnswer: -77058105973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 0 + 0. Let d(m) be the third derivative of -m**4\/2 - 44*m**2 - 5*m. Calculate t(d(k)).\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1828 or 337?\nAnswer: -1828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 5*s + 4*r, 6*s + 5*r = s + 345. Is s a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-20)*-2 - 2240\/(-2100). Let n(a) be the second derivative of 0 + a**5 + 11*a - 25\/12*a**4 + q*a**3 + 0*a**2 - 1\/6*a**6. Factor n(l).\nAnswer: -5*l*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 691 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + x = -361, 0 = 5*a + 2*x + 1793. Let d = 6058 - a. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - (23 + 103)) + (2 - 1) + 2 + -1.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111 (base 2) to base 5.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 22*u**2 + 7*u - 164. Let x be c(22). List the prime factors of (-135)\/18*((-1088)\/x)\/(-1).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/3 + 2)*36\/15. Let s(n) = -2 + v - 5*n + 7. Calculate s(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 0*x + 0*x)*(0 + 0 - 1) + (5 - 3 - 1)*(-2*x + 5*x - x) + 76*x - 310*x - 19*x to the form n*x + f and give n.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*19.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 79 divided by -4\nAnswer: -79\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.15987 millennia to centuries.\nAnswer: 71.5987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {m: 4, u: 1, l: 1, p: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4277909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 731824693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 7. Let k(h) = -h - 6. Let w be k(11). Let t(j) = -j**3 + 10*j**2 - 9*j + 10. What is the smallest common multiple of t(9) and s(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*s + 9, -10 = 4*u + 5*s - 3*s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:18 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 646 and 31165738.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*r - 4*v, -3*v + 2*v = r - 20. Let p be r\/10 - 2\/5. What is the second derivative of u**3 - 2*u - p*u**3 + 0*u wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49 + -106 + -21 - (-7 - 0)) + 0\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a*i**2*l - 2*a*i*l*q + 6*a*i*l - 4*i**2*l*q + 7*i**2*l - 2*i*q + 4*q wrt a.\nAnswer: -10*i**2*l - 2*i*l*q + 6*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**3 + 5*z**2 + 7*z - 5. Let k(b) be the first derivative of 9*b**4\/4 + 2*b**3 + 4*b**2 - 6*b - 24. Calculate -5*k(h) + 6*v(h).\nAnswer: 3*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 - -2 - (-1213360)\/(-8). Round l to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gspoy. Give prob of sequence og.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219018691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 = 4*a, -2*a + 0 = h + 7. Let t be 0\/(-1)*a\/2. Solve -b = -4*f - 9 - 4, t = -3*b - 3*f + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + v - 47, 19*y - 22*y - 4*v = -44. What are the prime factors of -4 + 6964\/y + 2\/(-8)?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2509 - 2508. Solve 7 = 3*s + 5*l + 18, l + g = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249780336 divided by -156?\nAnswer: 1601156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 0*v**2 + 0*v**2. Let x(r) = -95*r**2 - 9*r - 9. Let w(c) = -42*c**2 - 4*c - 4. Let a(s) = 9*w(s) - 4*x(s). Determine n(a(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1278 times -2.4\nAnswer: -0.30672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3084177\/131 or 23543?\nAnswer: 3084177\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -19*p. Solve -5*k + 2*n + 1 = p, -n + 3*n = -3*k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 44*n + 17. Let u(y) = -6300*y. Give u(g(m)).\nAnswer: -277200*m - 107100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54590480.\nAnswer: 2, 5, 7, 71, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + -5 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862 is divided by 462?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 26 = 3*k + 2*b, -16 = -5*k - 4*b + 7*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 4203*g**2 - 4418403*g - 4414201 = 0.\nAnswer: -2101, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 814, 813, 812?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from rnaran?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-8*p**3 - 15*p**3 + 4*p**3)*(-2*p**2 - 2*p**2 + 0*p**2).\nAnswer: 76*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 77467370 times 1\nAnswer: 77467370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 7:44 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -23*y**3 - 415*y**2 + 441*y + 493. What is s(-19)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4 + 2336*t**3 - 27636*t**2 + 103176*t - 123552 = 0. What is t?\nAnswer: 3, 6, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - -42.34. Let y = q - 41.55. Let g = -0.44 + y. What is g rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z - 12661292 = -12662762 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01334794082 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 55083082.1 to the nearest 100000.\nAnswer: 55100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103820, 103818, 103806, 103778, 103728, 103650, 103538, 103386?\nAnswer: 103188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.146141, -2\/21, -4, -134?\nAnswer: -0.146141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164 and 8850.\nAnswer: 725700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/56*(-3031)\/866*-56\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3 + 4 + 1 - 6*l**2 + l**3 + 2 - 6*l. Is 10 a factor of f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16593 + -4604. Is h a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5}. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 5*f**2 + 4*f + 5. Let n be b(4). Suppose -5*l + 2*y - 3*y = -22, -n*y + 18 = 2*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 3:10 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 + -231?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 4, 7, 2, 11, -3, -130 in descending order.\nAnswer: 61, 11, 7, 4, 2, -3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 2. Let x be (-1)\/(-1) + 4\/(-2). Let o(k) = 1. Let q(z) = x*p(z) + 2*o(z). Let y(c) = -9*c - 3*c + 10*c + 4*c. Give q(y(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 849, 940, 1099, 1332, 1645?\nAnswer: 2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4469735869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11001002012 + 112121112?\nAnswer: -10111110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -5\/2 (c) 2751\/38 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-4 - 0))*5. Let l = u - -3. Let k be 0 - (0\/3 + l). Solve k = -3*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = q + 4*q. Let a be q\/(-20)*4*15. Let h be (4\/a)\/((-1)\/(-6)). What is the highest common divisor of h and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 2*v - 2. Let t be w(2). What is the least common multiple of 18 and (1\/t)\/((-1)\/(-28))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/19 (b) 1\/4619 (c) 1\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*z + 153, 213 - 42 = 3*v + z. Calculate the highest common divisor of 49 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7*(-13)\/2)\/((-3)\/(-42)). Let n = 6293\/10 - d. Calculate the common denominator of -58\/3 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 1063*x**6\/120 - 2*x**5\/15 - 59*x**4\/6 + 13*x**2 + 2*x - 9. Find the third derivative of z(m) wrt m.\nAnswer: 6378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:08 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105854 - -6?\nAnswer: -105847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1465762647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 125753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*x**2 - 271*x**2 - 83*x**2 - 8*x**3 - 3429*x**2 - 1.\nAnswer: -8*x**3 - 4561*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kike when four letters picked without replacement from kikkkekekikkk.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/26638490 and 1\/450228?\nAnswer: 159830940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1436132 + -429692. Let u = 1865823.6700026 + n. Let v = u + 0.33. What is v rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*s + 434 + 286. What is the highest common divisor of 90 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 67*k + 1. Determine u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 22*h**2 + h + 24. Let y be n(-22). Suppose 0 = -4*v + 5*i + 647, 0 = -7*v + 3*v + y*i + 650. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 + 136*c**2 - 141*c - 96. Determine q(-35).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 866126066*n*u - 793795895*u wrt n?\nAnswer: 866126066*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:42 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*q + 8*q. Let x be (48\/3 - q) + -5. Solve 0 = -2*b + 3*z + z - 8, -3*z + x = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*f + 10874 + 6597 - 13*f**2 + 6*f**3 - 23796 wrt f?\nAnswer: 18*f**2 - 26*f + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 726, -134, 4\/3, -0.4?\nAnswer: 726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 18 = j. Suppose -3*n = 3*b - 15, j*b - 21 = -4*n + b. Solve n*r + 4 = -12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39 - -56) + -4 + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 20*w**2 + 6875*w - 1720 = 0?\nAnswer: -344, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -25) + (-1 - 3) + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 - 8 - 2 + 25 - 410*m**4 - 12*m**2 wrt m?\nAnswer: -9840*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1953\/5208 - ((-18)\/4)\/(1 + -5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 2, -1, 1091 in descending order.\nAnswer: 1091, 7, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + -149 + 86 + 66.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3267) + 0 - (sqrt(108)\/sqrt(4) + -1 - sqrt(27)))**2.\nAnswer: 66*sqrt(3) + 3268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -30, -42?\n\"Answer: -12*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**4*s - 2*p**2*s - 191*p*s**3 + 512*s**3 wrt p?\nAnswer: -4*p**3*s - 4*p*s - 191*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010 + 10?\nAnswer: 11001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1348*y**2 + 2*y - 677*y**2 - 676*y**2 - 10 + y**3 + 1. Give r(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 13*q**2 + 19*q + 107. Give k(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d + 97*d + 227 = 920 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 = -10. Suppose 0 = 5*h - 25, -q + 2*h = -g*q + 16. Suppose f + q - 18 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 79.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qazqqaq. What is prob of sequence aqa?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 169 - 4 = 0. Let b = 93 - h. Let d = b + 74. Solve q + d*v - v = 0, -q - 5*v - 12 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3660154 and -0.4.\nAnswer: -1464061.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaxaiiiiqixxiiixai. What is prob of picking 1 q and 1 i?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(42392\/2352 + -18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 - 3 - 12*g + 2*g + 6*g + 2*g as w*g**4 + i*g**2 + x + q*g + t*g**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 20 - 16 = 0. Suppose -d + o = -4. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 12.8 (c) 1.7 (d) -1 (e) -3\/5 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -948 + 948.00003566. What is r rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 + -263. Let r = -185 + 287. Let n = w + r. What is the least common multiple of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/14)\/(8 - 105\/14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnv when three letters picked without replacement from xxxnnnvnxxvnx?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193278767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, k: 6, v: 5}. What is prob of picking 3 r?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 + 3 + -5 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -4 - (8 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 0 + 12\/7*y**4 + 129\/7*y + 531\/7*y**3 + 648\/7*y**2 = 0?\nAnswer: -43, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 5\/88567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - 151. What is the tens digit of (-2)\/(-3) - 0 - 3024\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (1 - (-1)\/3 - 114\/72). Which is greater: p or -2127?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*(-6*8\/(-48) + 4967)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 13}. What is prob of sequence pzzz?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -7. Is 12 a factor of 60\/2 + 0\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 758 + -772. Let u be ((-42)\/(-4))\/(6\/(-8)). Let o be (u\/z)\/(2\/4). Solve m + m + 4*p = -4, o*m + 2 = -2*p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16608, -33275, -50012, -66837, -83768, -100823, -118020?\nAnswer: -135377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -3.55.\nAnswer: 3.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -397675*s**2 + 32*s - 458*s**4 - 4710*s**4 + 397669*s**2 + 341*s wrt s?\nAnswer: -124032*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8536, -16729, -24800, -32749, -40576, -48281, -55864?\nAnswer: -63325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/(-20)*(-4)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 663, 5023, 16859, 39909, 77911, 134603, 213723, 319009?\n\"Answer: 623*l**3 - l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180058, -360132, -540206, -720280?\nAnswer: -900354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21747 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: What is 0.0387 times 578161?\nAnswer: 22374.8307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -91760?\nAnswer: -13\/45880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {t: 10, r: 2, a: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5*x - 1 = 0. Solve -t + 3 = 4*j, 5 = 3*j - x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5.9. Let q = 0.6 + r. Let h = -1 + q. What is the closest to 1 in -1, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1\/212, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47826907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 11*w + 16. Suppose -2*l - l = -4*b + 40, -3*b = -4*l - 51. Let o be n(l). Solve -o*j - 2*m = -3*m - 17, 0 = -3*j - 2*m - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 14877*x - 565334. Calculate s(38).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 27. Suppose 3*m - 187 = -4*d, j*m + 2*m = -2*d + 246. Calculate the remainder when m is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 354\/70)\/((-2)\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30992 and 10.12?\nAnswer: 313639.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giggggggggig. What is prob of picking 2 g?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2666 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((68\/306)\/(2\/(-12)))\/1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 388015*c - 7762300.\nAnswer: 5*(c - 20)*(c + 77623)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4*h - 12 - 45, 2*x + 4*h = -42. Let u be (12\/x)\/((-10)\/25). Solve 0 = u*f + 5*q - 0*q - 24, 5*q - 20 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 7*r**2 - 2*r - 5. Let n be b(-7). Calculate the greatest common factor of 72 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u = -4*f + 24, 5*f = -3*u + 27. Suppose 0 = -3*z + 2 + 4. Let w be ((-54)\/9)\/(-1 - z\/u). Solve -3*s = -l - 7, -w - 5 = -3*s + 3*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987636 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 873.1 + -870.1. Sort 4, 21.3, q, 5 in increasing order.\nAnswer: q, 4, 5, 21.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1)**2*4*5.\nAnswer: 80*sqrt(17) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -369*b**3*u**3 + 16*b**3*u - 12*b*u**3 - 167*u**3 - 188325*u wrt u?\nAnswer: -2214*b**3*u - 72*b*u - 1002*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14345478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 15*v = -11*v - 4, 6 = -3*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10769648, 1, 11 in descending order.\nAnswer: 11, 1, -10769648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2114849?\nAnswer: 11, 192259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u**2 - u + 1. Determine x(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 6*l - 3384. Suppose 3*h - 2*h = l. Suppose 477 = 9*z - h. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 51 + 12*z**2 - 9*z**2 + 6*z - 55. Suppose 0 = -5*s + 12 + 13. What is the hundreds digit of q(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m + 15. Let r be o(7). Let c = r + 39. Is c <= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0165373341057 and 6.\nAnswer: 5.9834626658943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 12*r**2 + 6*r + 2. Is n(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2430 = -65*a - 1325 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17299, -34600, -51901, -69202, -86503, -103804?\nAnswer: -121105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-7))*o)\/o*o\/o**1*(o\/((o**(1\/4)\/o*o)\/o*o))**32 assuming o is positive.\nAnswer: o**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = 2*s - 18799. List the prime factors of s.\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -2. Suppose -3*j + 0 = 3. Is (-357)\/u - j\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:54 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 19997 = -39374. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*j = -34, b + 3*j + 0 = -8. Let a(t) = 30*t + 423. Let q be a(b). Let -4\/7*m**q + 8\/7*m**2 - 4\/7*m + 0 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.09 + -6.09. What is the fourth biggest value in -2\/13, -5, 2, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/3)\/((-3)\/(-27)*6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2380)\/(-168) + -4 - -9)\/((-3)\/18).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.6 + -30. What is the second smallest value in s, 11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w**2 + w - 1. Let p(c) = -17*c**2 - 9*c + 97. Let q(z) = p(z) + v(z). Does 29 divide q(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/2 - 4815*v**2\/2 - 28971*v\/2 - 43497\/2.\nAnswer: 3*(v - 1611)*(v + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/16 and -20\/68870973.\nAnswer: 1101935568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:13 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 11*b + 10. What is v(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q = -29*q + 38. Suppose 176 = 21*a - q*a. Is a a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -f - 2*h - 10, -4*f = 121*h + 133 + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 868 - 863 = -5*l, -n - 9 = 5*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3 - 3)*(5 - 5 + 2)*(0*p**2 - 360 + p**2 - 73975*p + 73976*p)*(2*p + 3*p - 4*p).\nAnswer: 2*p**4 + 2*p**3 - 720*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36123124.\nAnswer: 2, 9030781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**5 - 5*o**4 + 5*o**4 + (o**2 - 4*o**2 + o**2)*(-o**3 + 4*o**3 - 4*o**3) + 9*o**5 + 6*o**5 - 4*o**4 - 13*o**5.\nAnswer: -3*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/34 (b) -27 (c) -121 (d) 7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-46935)\/(6\/(-30)*5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260 + 18. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 2*w - 54 = 0, 1860568*q - 5*w - 80 = 1860564*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 168*m**2 - 4*m - 676. Give u(-168).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(5 - -3 - 8) - -660. Solve 3*m + n - 663 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 578 + 1372 = 6*u. Solve 0 = -u*z + 136*z + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhswhwhhhsh. Give prob of picking 2 s, 1 w, and 1 h.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163 - -165. Sort -5, 57, t, 0.\nAnswer: -5, 0, t, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*g**4 + 73443*g**3\/2 - 4227777*g**2\/2 + 526176*g = 0. What is g?\nAnswer: -609, 0, 1\/4, 576\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m. Let z be w(-9). Let c = z + -45. Suppose -2*i + t - 1 + 10 = 0, 4*i - 21 = t. Calculate the highest common divisor of i and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1725821422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 921*v = -7836*v + 542934 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*g - 416 = 85*g + 4*q, -5*g = 5*q - 1085. What is the remainder when 266 is divided by g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76644 bigger than -76645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101331154 + -1500?\nAnswer: 101325254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**3 + 21*x**2 - 2*x**4 + 132 + 2*x**2 - 53 - 83 to h*x**2 + q + g*x**4 + b*x**3 + t*x and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125199 or 178?\nAnswer: 125199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2214 and 12013.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 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 second derivative of 55002*d**5 - 4*d**2 + 3000532*d?\nAnswer: 1100040*d**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p*v*w**2 - 1412*p*v - p*w**3 + 12*v*w + 35645*w**4 wrt w.\nAnswer: 2*p*v - 6*p*w + 427740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0.4, -0.032, 653, -5?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -286?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 5*h**2 - 4*h + 1. Let k(n) = n**3 + 2*n**2 - 8*n + 6. Let w(v) = v**3 - 6*v**2 - 14*v - 16. Let f be w(8). Let d be k(f). Give m(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from prafk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkrhskfrfnrf. Give prob of sequence fk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 184 - 80583.843629\nAnswer: -80399.843629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 885905 * -2.\nAnswer: -1771810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 3 - 1 + 10 + 14. Let t be n(9). Let h(d) = d**2 - 8*d - 13. What is the smallest common multiple of h(t) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144762181159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:16 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 618087061 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(50 - 117 - 35*d + 74) to c*d + z and give c.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207055 + 671426. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from {r: 9, e: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 12. Let k be q(-16). Let u(y) = -3*y**3 - 2*y**2 + 2*y + 3. Let g = -11 + 8. Let z be u(g). What is the greatest common divisor of z and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 239.7 (c) 1\/80 (d) 1 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/3 + 101102*r**2 - 7886632*r\/3 = 0. What is r?\nAnswer: -303332, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3\/11, 1\/4, -1139, -0.1, -7.5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19891711903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1 - (15 + (-5 - ((-2 - 8) + 17)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50431125 is divided by 178?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 1\/6*n**3 + 0*n**2 + 0 - 1\/4*n**4 - n. Find the second derivative of u(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39262, 78728, 118194, 157660, 197126?\nAnswer: 236592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72004 and 21808.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 471*a**2*p**5 - 4*a**2*p**2 + 11536*a**2*p - p wrt p?\nAnswer: 9420*a**2*p**3 - 8*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 2412d?\nAnswer: -2412b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5340 is divided by 1737?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15984052313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 5. Let m be w(5). Let q = -209 + 324. Let x(y) = 3*y - 124 - 2*y - 2*y + q. Determine x(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q**2\/5 + 2*q + 2\/5 = 0 for q.\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*2\/(-22)*1. Let g = 6.11 - 0.11. Let q be (11 - 6 - 11)\/(12 - 26). What is the nearest to -1\/2 in d, q, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4\/7, 3, 6\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klklkklklllkllkkkkll. What is prob of picking 1 k and 1 l?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 times 2?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*l**3 + 29750*k**3*l**2 - 11*k**2*l**3 + k**2 + k*l**2 - k + 7939*l**3 wrt l?\nAnswer: 6*k**3 - 66*k**2 + 47634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-385))\/((-260)\/325).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 22*f**2 + 36*f - 4. Let q(o) = -7*o**2 - 12*o + 1. What is -7*q(k) - 2*z(k)?\nAnswer: 5*k**2 + 12*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 1 - (3 + (-18 - -14) + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.1 (b) 17\/5 (c) -158 (d) -0.111 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-2)*((-48)\/(-4))\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = w, -2*w + 19 = -0*w + 3*j. Suppose 0*s = 4*s - 4. Suppose -19 = 11*d - 41. Solve -f - s = -4*n, 4*f - w*f = d*n + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 16, 3 in ascending order.\nAnswer: -0.17, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6207 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*z**2 + 125*z - 72*z - 54*z + 138*z**2.\nAnswer: -44*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2607347*o**5 + 9*o**3 + o - 336629818.\nAnswer: 52146940*o**3 + 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 - 155. Let i = a + 43. Let b = -27.000028 - i. Round b to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 + 377. Let j = -135 + w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = 0, 0 = x + 4*j - 26 + 8. Let s = 72 + -43. Calculate the remainder when s is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 4 - 11, -35 = -5*l - 21*f + 26*f for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (3 - 0) - (-12 - (-16 + -11))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.218 - 3.218001359. What is o rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, -91, 12912\/11?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 23 = 3*b. What is the units digit of (1*b)\/(6\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 4*j - 4*j)*(2*j + 5 - 5) + 0*j**2 - 4*j**2 + 2*j**2 + 525*j - 525*j + 196*j**2 as a*j + o*j**2 + d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 962912 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/5, 7.9, -0.1 in ascending order.\nAnswer: -4, -2\/5, -0.1, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-3)*(4*19\/266)\/(2\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/4 - -2)\/1. Suppose t - 5*t - 20 = z. Sort -4\/7, t, 5, -3 in increasing order.\nAnswer: t, -3, -4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29, 22, 11, -4, -23, -46, -73?\n\"Answer: -2*a**2 - a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 - 49243772*p**2\/7 + 43302669191752*p\/7 - 12372187177744\/7 = 0. What is p?\nAnswer: 2\/7, 1758706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32236, -128915, -290048, -515641, -805700?\nAnswer: -1160231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (-2 - -3) - (-79 - -92)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v - 68. Calculate h(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*b + 3 = 0, 4*z - 1 - 31 = 5*b. Solve -5*d = z - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8769.73982 rounded to the nearest one hundred?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**3 - f**2 - f + 1. Let v be d(1). Suppose 10 = 4*x + v*u, -4*u = 3*x + x - 12. Suppose -2*q + 3*q = 0. Solve q = -x*c - 5 - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 16*s + 14*s + s - 5 + 5 + (-4*s + s + 4*s)*(-2 + 0 + 4) + 4 - 4 - s - 3*s + 3*s + 2*s + s - s - 2*s)*(-s + 2*s**2 + s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48.277 + 0.277. Is -1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 1 - 1)*(-1 - 3 + 2) - 3*i - 4*i - 3*i to h*i + k and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -105000 (base 6) to base 14\nAnswer: -3328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -20. Suppose -h + 29 = 5*z, -3*z + 5*h - 35 = -6*z. What is the first derivative of -b*f**4 + f**4 - 2*f**4 - 3*f**4 + z wrt f?\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/779 - -45167\/2337. Suppose 5*y - m - 97 = 0, -2*y + 3*m = -3*y + 13. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Let r = -1 + 6. Suppose 4 = -2*n - 3*k, r*n - 2*k - 8 = n. Sort -3, n, u in decreasing order.\nAnswer: n, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*y. Suppose 5*x + y*x - 420 = 0. Suppose -3*j + 2*t - 6 = -59, x = 4*j + 4*t. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/2 + 5*u**4 + 6*u**3 - 17*u**2 - 13*u\/2 + 12 = 0. What is u?\nAnswer: -8, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + 1*sqrt(243) + -2*(sqrt(243) + 1))*-2.\nAnswer: -10 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let h(n) = -11*n + 6. Let r(m) = -m + 1. Let v(w) = h(w) - 6*r(w). Let k(l) = -2*l. Let j(q) = 7*k(q) - 3*v(q). Determine y(j(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 130 divided by 7309\nAnswer: 130\/7309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -23?\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 - 10*v**4 - v**4 + 2*v**4 - v**4 - 3*v**4 + (0 + 0 + 2*v**2)*(-2*v**2 + 1 - 1).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -f - 0. Let v = 16 - f. Let o = -1 - -1. Solve o = 5*c - k - v, 10 = -c - 4*c - 3*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778134053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -841 + 125. Let i = w + 718. Calculate the greatest common divisor of 45 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - -95. Suppose 2*s + 4*y - 322 = 0, 2*s + y - 313 = -k*y. List the prime factors of s.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q + 2*q. Suppose 3*p + q = 5*f, -10 = -0*f + f - 4*p. Find the third derivative of 2*u**5 - u**f + 0*u**5 - 4*u**5 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2615.51 rounded to the nearest 10?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) - (-14)\/10. Let p be (-12 + n)*(-1 - 0). Let x = 7 + 4. What is the highest common divisor of x and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-2010))\/((71\/355)\/((-4)\/(72\/(-9))))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -488*k**2 - 17*k + 17. Let v(w) = -163*w**2 - 3*w - 3*w - 626 + 632. Let t(s) = -6*f(s) + 17*v(s). Let i(z) = 2*z. Give t(i(p)).\nAnswer: 628*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Differentiate -1 - 5*c**2 + 10*c**d + 4*c**2 + c**2 wrt c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -54, -73, -108, -165, -250, -369?\n\"Answer: -k**3 - 2*k**2 - 6*k - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 = 2*o + o, 2*c - 2*o - 18 = 0. Solve z + z - c = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 3*(1 + sqrt(176)) - (sqrt(176) + 2 + 5)**2 - (2 + -4 + ((-2 + sqrt(176) + sqrt(176) + sqrt(176) - sqrt(176)) + 2)**2))*-4.\nAnswer: 160*sqrt(11) + 3696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 5 (c) -3 (d) -0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10605616 less than -10605622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 5*n + 2*x + 12 = 0, -2*n = 3*x + 10. Find the common denominator of 539\/(-168) - (3 + n) and 73\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/sqrt(176) - (sqrt(17) - 5*(sqrt(17) - (sqrt(51)\/sqrt(3) - sqrt(17))))) + -4 + (sqrt(2057) + -2)**2*-2*-5.\nAnswer: -1743*sqrt(17)\/4 + 20606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34207283 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/7 - 6*d**3 - 90*d**2\/7 - 46*d\/7.\nAnswer: 2*d*(d - 23)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 34001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -457 - -813. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 154. Let z(l) = l + 156. What is 2*n(h) - 3*z(h)?\nAnswer: 7*h - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2824 + 0.0064. Let q = -16.406 - w. Round q to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 499 = -2*r, -8*j + 3*j + 739 = 3*r. Calculate the greatest common divisor of r and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + o = 290 - 80, -3*y + o = -126. Suppose -5*f - 17 = -y. Solve f*w - 14 = 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28685 is divided by 5697.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8204 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/9 + 28*h**2\/9 + 203*h\/9 + 176\/9.\nAnswer: (h + 1)*(h + 11)*(h + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1512*f**3*z**4 - 6*f**3*z**2 + 45*f**2*z**2 wrt z.\nAnswer: -36288*f**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 8*y**2 + 4 - y**2 + y**2 - y**2 + (-5*y + 4*y - y)*(-15*y - 17*y - 21*y) to k + g*y**2 + s*y and give g.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 5*u**2 + u + 12. What is the units digit of d(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42294913.1 rounded to the nearest one hundred thousand?\nAnswer: -42300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 1233883329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1183 + -726. Suppose 5*o - a = -2. Let p = 163 - o. Is p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 15 = 3*y - z, 4*y = 3*z - 24 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43537 divided by -4.\nAnswer: -43537\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/7 - 6*a**2\/7 = 0 for a.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 11) to base 12\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430414 is divided by 313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2164*z**4 - 2*z**3 + 3*z**2 + z - 580970?\nAnswer: 8656*z**3 - 6*z**2 + 6*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let n(x) = -6*x + 3. Let h(t) = -2*n(t) + 10*w(t). Suppose 3*j - 9*j + 24 = 0. Let q be h(j). Solve 2*c + c - q*u = -2, -2 = -2*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5739 (b) 1\/3 (c) 7\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/3888341?\nAnswer: 3\/3888341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1260 - 599. Let k = 658 - p. Let f = 0.1 - 0.24. Put f, k, -5\/2 in descending order.\nAnswer: f, -5\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -916, -706, -354, 140, 776, 1554, 2474?\nAnswer: 3536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 5. Let y be v(3). Suppose 3*k = y*k - 152. Calculate the least common multiple of k and 18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/4, -2648195, 1\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4651351898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let c = 0 + 3. Let t be g(c). What is the smallest common multiple of 3 - ((-6)\/t)\/2 and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**3\/2 - 4*q. Let n(y) = 3*y - 6*y + 2*y. Calculate f(n(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100249 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2010 (base 4) to base 10\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 2*v**2 - v + 2. Let t be w(2). Suppose -25 = -t*c + 5*c. Put c, 1, 5 in descending order.\nAnswer: 5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.08 <= -0.27391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47684070 to the nearest integer?\nAnswer: 6905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -10. Let h(p) = -p + 1. Let q(l) = -108*l - 3. Let t(u) = -129*u - 4. Let i(j) = 6*q(j) - 5*t(j). What is k*h(b) + 2*i(b)?\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2 - (-267 + 1 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 79937 + 0?\nAnswer: 79937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -503.1 and -3.\nAnswer: -506.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66549710561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejeqxxettxtxqaj. Give prob of sequence jtqa.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - t**3 + 4*t**2 + 66*t**4 - 67*t**4 - 17*t + 18*t as w*t**4 + c*t + m*t**2 + s*t**3 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:47 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 396\/27 + -8 + -6. Let y(h) be the first derivative of -2 + 0*h - h**6 + 0*h**2 + 0*h**5 + r*h**3 + 0*h**4. Find the third derivative of y(k) wrt k.\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**3\/6 - 173*i**2 - i + 78. Let s(h) = 2*h. Determine s(p(c)).\nAnswer: 2*c - 692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224.1918266 + -1.1004766. Let b = x + -229.0913344. Let n = b - -6. What is n rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:25 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/6 + 0 - (-4)\/6. Let z be 289\/2 - s\/12. Let a = z - 37. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t**3 - 381. Let y(b) = -5*b**2. Calculate y(o(w)).\nAnswer: -180*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104\/29822157 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -182 + 86*u - 100 + 33 - 100*u as y*u + p and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 4. Let m be u(-9). Let w be 77\/162 - (-2)\/(-4). Let t = -29\/81 - w. Which is the nearest to t? (a) -2\/3 (b) 1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/19 - 7550*x**2\/19 - 7129086*x\/19 - 7121538\/19.\nAnswer: -2*(x + 1)*(x + 1887)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**4 + 52*x**3 + 44*x**2 - 54*x - 49. Let g(z) = 51*z**3 + 42*z**2 - 54*z - 48. Let i(r) = 2*g(r) - 3*s(r). Find y, given that i(y) = 0.\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/24 - 5*d**3\/6 + 8*d**2. Let y be g(-8). Solve y*m + 5 = -4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/12 and -101\/274.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130059639*m**3*v**2 - 60270*m**2*v + 10*m*v**2 - 11 wrt m.\nAnswer: 780357834*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275 = 51*f + 1296*c - 1293*c, -5*f = 5*c - 125 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**6\/15 - 43*u**5\/10 - 1277*u**4\/12 - 481*u. What is the third derivative of m(k) wrt k?\nAnswer: 48*k - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 82 + 22 = 0. Calculate the remainder when (-1 - 93\/9)*-3 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3 + 1842*v**2 - 13041*v = 0. What is v?\nAnswer: -621, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4435?\nAnswer: 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3935121*c**2*z**2 + 19*c**2*z + 103*c**2 + 3*c*z**2 - 5*c + 3*z + 1 wrt z?\nAnswer: 7870242*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 11*u - 6. Determine b(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 428.2 and 2?\nAnswer: 426.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/12 - v**4\/6 + 53*v**3\/6 + 5*v**2 - 10*v. What is the first derivative of l(w) wrt w?\nAnswer: 10*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 7*p. What is the remainder when r(8) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n**3 + 44*n**2 + 95*n - 54. What is m(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 125?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, 0, 3, 5 in descending order.\nAnswer: 11, 5, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, 3\/7, -4\/7, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + 0*w + (-2 + 4 - 1)*(-4*w + 5*w + w))*(5 + 0 - 1).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -432\/421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24641.9 times -0.5?\nAnswer: 12320.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52795424 divided by 32?\nAnswer: 1649857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 149 - -1114?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157 - 26. Let u = r - 204. Let q = -100 - u. Is q at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002825482 to 7 decimal places.\nAnswer: -0.0002825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11093605*b*o - 1373469*b + 1 with respect to o.\nAnswer: -11093605*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:55 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012521 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3)*-1*1.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/13074 and 15?\nAnswer: 13074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 116\/14 + 12\/(-42). Suppose -3*j - i = 2*c, 6*c - 3*j - 18 = 3*c. Suppose 0 = -c*a + 12 + 12. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 542 = 11*n. Let x = n - 39. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -20 (b) -4\/3 (c) -1\/3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1895 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:03 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -2*m**6\/15 + 2*m**5\/5 + 9*m - 2. Factor v(j).\nAnswer: -4*j**3*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 11. Let l be j(5). Factor 36545 - 16*c**2 + 4*c - 36545 - 16*c**l + 24*c**3 + 4*c**5.\nAnswer: 4*c*(c - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from gtpp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, k: 2, z: 2, b: 1}. What is prob of sequence kk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 i when three letters picked without replacement from sipis.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2.3. Let j = 1.3 - q. Let h = -0.999928 + j. What is h rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 677\/((-71)\/36 + 2). Let n = 2827173\/116 - k. Let o = n - -2\/29. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 3. Let i = -8 + 6. What is the closest to 0 in -1\/8, y, i?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -601 - -600.7. Suppose -2*t = 4*n - 2, 5*t - 5 = -3*n - 0. What is the second smallest value in -15, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 141*y**2 - 31*y + 723. What is the thousands digit of a(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 629.0461 litres?\nAnswer: 629046.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 4. Determine c(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 3:01 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.68823 less than 0.09667?\nAnswer: -626.59156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000100010010010010 (base 2) to base 16.\nAnswer: -104492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -660*t - 14883. What is h(-23)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 178 and 5162?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6588\/(-168360) + 6\/20.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 1\/2*k**2 + 0*k + 5. Let q(b) be the first derivative of b**2 - 2. Calculate q(h(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-20)*(-20)\/16?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(5 - 2 - 2). Suppose -5*o - 3*k + 75 = 0, 0 = -2*o - 3*k + 28 + 2. Solve w*d - 5*d = -o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1390, -91, -5 in decreasing order.\nAnswer: 1390, 0, -2, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2319 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 43822576.44 to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-78) + (-11)\/(-6). Suppose 3*f - 4*w = s*f + 30, -2*w = f. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 386.00000134 + -386. What is v rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/3 - 4. Let a(z) = 22*z. Determine a(g(t)).\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 - -24. Let n be (z\/(-9))\/(1\/(-9)). Solve 0 = 2*p - 2, n*c + 3*p - 13 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 + 243324*a - 243322 = 0. What is a?\nAnswer: 1, 121661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5639425 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-144)\/128)\/((-3)\/4))\/(12\/72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1413392042 to the nearest integer?\nAnswer: 37595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*c + 2101 = -127*c + 49*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Suppose 9*o = 14*o - 20. Suppose 1 = l - j, -4*j = o*l - 3 + 15. Sort -2, u, -5, l in increasing order.\nAnswer: -5, -2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 + 26*x + 1008\/5.\nAnswer: -2*(x - 72)*(x + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/6) + 6\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssgssss. What is prob of sequence ss?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*k, 5*b - 710 = -k. Suppose b = 5*d + 12. Is 17 a factor of 888\/26 - 4\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*i - 2872 = -12088 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1140 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 61 = 106 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1368, -4, -5, -3, -15, 4 in increasing order.\nAnswer: -1368, -15, -5, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11334 is divided by 1991?\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(1\/9)\/(6\/(-36)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t - 9. Suppose t*x + 46 = 3*b + 16, -4 = -b - 2*x. Let j(z) = -2*z**2 + 18*z + 3. Is j(b) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 16 - 30 - 13*b**2 to the form x*b**2 + i + u*b and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + -1 + 33\/(-4) and (-27)\/288*4 - (-610)\/48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-252)\/(-56)*((-13)\/(-3) + -3). Let a(r) be the third derivative of r**4\/12 - 7*r**3\/6 - r**2. Let s(h) = -3*h + 8. What is k*a(n) + 5*s(n)?\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25117, -100559, -226339, -402451, -628889, -905647?\n\"Answer: i**3 - 25175*i**2 + 76*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4181 (c) 5 (d) 1 (e) -1 (f) 0.3 (g) 74\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1884 and 1092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/67 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/37 or 1.213?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 115 = -15*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001713767767 to seven dps.\nAnswer: 0.0017138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/2, 2\/13, 8\/5, -1 in decreasing order.\nAnswer: 8\/5, 3\/2, 2\/13, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15293, -30586, -45877, -61166, -76453?\n\"Answer: d**2 - 15296*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + ((sqrt(99)*2*-2 - sqrt(99))\/(sqrt(162)\/sqrt(2)))**2 + 2).\nAnswer: 302\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 664165019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32867?\nAnswer: 23, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10713.69 rounded to the nearest 10?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((40320\/133)\/(-12) - -22)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -542795.336 - -18994?\nAnswer: -523801.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2 + 5*a + 5. Let u = -525 - -524. Let r(c) = -c**2 + c + 1. What is u*p(f) + 5*r(f)?\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -0.065 (c) 3\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let h(n) be the third derivative of n**5\/60 - n**4\/4 - n**2 + 130*n. Determine h(g(t)).\nAnswer: t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7460480 bigger than -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -122508478281 take away -0.17?\nAnswer: -122508478280.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*f - 3*f**2 + 16*f)*(f - 3*f + f) + 4*f**3 + f**3 - 3*f**3 + f**3 - 3*f**3 + f**3 + (2*f**2 + 0*f + 0*f)*(2*f + 0*f - f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r**4 + 1\/60*r**5 + 0 + 7*r**2 + 0*r + 0*r**3. Let y(s) = 3*s**3 + 3*s**2. Give 5*a(d) - y(d).\nAnswer: -3*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126650 divided by -4.\nAnswer: 63325\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a - 2*a)*(-a**2 + 0*a**2 + 0*a**2 + (0 + a + 0)*(0 - 2*a + 0) - 16*a**2 + 40*a - 40*a).\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.488 + 0.185.\nAnswer: -4.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 - 1 = 5*x. Let o = -4 + x. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*(g**(1\/2)*g)\/g)\/g)**(-15))**(7\/13))**42 assuming g is positive.\nAnswer: g**(-2205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8128 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 190729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*f + 11, -f + 25 = 3*f - 5*d. Let t = 72 - 68. Solve -t = -f*h + h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169264 rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9047, -9046, -9045, -9044?\nAnswer: -9043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 5*x**2 - x + 4. Let n be z(-4). Let j = -8 - -14. Let y = n + j. Sort 1, y, -5 in increasing order.\nAnswer: -5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10773710 greater than 10773710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12758 + -4041. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1581*v + 5525*v + 315 + 480 + 50 - 55 wrt v.\nAnswer: 7106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/20 + 5*p**4\/6 + 11*p**3\/6 + p**2 - 3*p. Let y be d(11). Solve 0 = y*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1642731 rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2189 greater than -2187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249 - 281. Let b = h - -230. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31 - -5)*1\/(-2). Suppose -2*h = -5*d + 2*h + 31, 0 = d + 4*h + g. Let p be 2*2\/(-6)*-3. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 387.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985377807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**2 + 4*x**2 - x**2 + 0 + x**2 - 3*x - 2. Let f = -17 + 10. What is q(f)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111101101101 (base 2) in base 8?\nAnswer: -37555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -1495 (c) -2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 4. Suppose -12 = -5*h + 18. Suppose -k - 120 = -h*k. What is the highest common divisor of k and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 33 + 158. Let w = -21 + z. Solve w*s - 7*s = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*j**2 + 547*j**2 - 161*j**2 - 202*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -167*l + 168*l - 4*x, 3*l = -x - 13 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/297135 and 56\/135?\nAnswer: 297135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, w: 7, p: 3, i: 2, u: 1}. Give prob of picking 1 i and 2 w.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2875*k + 6 = -2874*k, 6 = 4*r - k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7898, 15765, 23632, 31499, 39366?\nAnswer: 47233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)\/(1349\/(-76) + 18). Let n(h) = -2*h - 21. Determine n(w).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(266)\/((sqrt(77)*-2)\/sqrt(11)))\/(sqrt(4)\/(sqrt(72) + sqrt(72)*2)).\nAnswer: -9*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2. Let k(c) = 33*c**2 - 11. Give k(m(i)).\nAnswer: 132*i**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 3*h - 16, 0 = 46*z - 51*z - 5*h - 17 - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5 = -5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3344498 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -339 - -339. Let y(q) be the second derivative of -1\/4*q**5 + 0*q**4 + 0 + v*q**3 + 8*q + 3*q**2. What is the first derivative of y(c) wrt c?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 - 45 = 29*w - 95 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43015 divided by -5.\nAnswer: -8603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hheneneh. Give prob of picking 4 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5786183 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -24047?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 82 = -6*s. Solve -31 - 14 = s*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 533, -3, 1, -0.0091, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/(-21))\/(-6))\/(-26*40\/(-342160))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-8))\/((-135)\/72). Let c = -391 - -390. Put -5, x, -2, c in decreasing order.\nAnswer: x, c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 + 3 - 3 + (-g + g + 2*g)*(17*g + 18*g - 30*g).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00751103216 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12*-10)\/((-20)\/360).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 - 55*w**4 - 728*w**3 + 784*w**2.\nAnswer: -w**2*(w - 1)*(w + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823457.4 hours to nanoseconds.\nAnswer: 2964446640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3605245 and 35.\nAnswer: 3605245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 17, -13, -95, -247, -487?\n\"Answer: -3*y**3 + y**2 + 22*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176816 and 597268.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 33. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/90)\/(28\/49 - ((-34645)\/(-4725))\/13).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -119. Calculate the remainder when x is divided by 1 - -28 - 36\/12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 8. Let v be (-2)\/(-6)*24\/1. Let c be k(v). Suppose c = -4*q - 5*j, -5*j = -5*q - j + 41. What is the remainder when 16 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -77. Suppose -6*w - 25 = -c. Suppose w*h - 4117 = 5348. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1103486287 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -21*n + 5*n. Suppose -n*y = -21*y - 438. What are the prime factors of y?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4 - 423*h**3 + 22802*h**2 + 36*h + 1514494 wrt h?\nAnswer: 12*h**2 - 2538*h + 45604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faakakokkkkaofgok. What is prob of sequence ggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) + 28\/(-165). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbs when four letters picked without replacement from bbbs.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1459787.723 - 1459064. Let q = -723 + c. Round q to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -340956*f**2 - 3. Let n(o) = 2*o**2. Determine z(n(l)).\nAnswer: -1363824*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -555*d**2 + 225*d - 300. Let m(t) = 15*t**2 - 6*t + 8. Let i(h) = 2*g(h) + 75*m(h). Let j(c) = -197*c. Give i(j(n)).\nAnswer: 582135*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 442?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6 + 6*d + 6*d - 6. What is the remainder when 35 is divided by g(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136337159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 121.93 and 0.13.\nAnswer: 122.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 127, 2\/17, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*f + 5*z + 144, 19 = f - 2*z. Suppose 3*x - 24 + 6 = -3*q, -f = x - 4*q. Let k be (-1)\/(2\/(7 - x)). Sort k, 1, 2 in increasing order.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 593508\/43 > 13802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*y - 22*y = 25259938. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7549275ug in nanograms?\nAnswer: 754.9275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 21152*t**2 - 32*t - 2. Is h(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2)\/(-7))\/((-865365)\/39081)?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 655 + -303. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10231123414 (base 5) in base 8?\nAnswer: -51151106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 10*y**2 - 9*y. Let s be v(-9). Let a = s + 5. Let j(z) = 6*z + 6. Suppose 2*i - 4*i + 16 = 0. Let b(q) = -4*q - 4. Give a*j(x) + i*b(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3624340 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/112*11880\/198.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - w + 2. Let l(u) = 16*u**2 + 16*u - 32. Let a(t) = -16*h(t) - l(t). Let g(f) = 40*f**2 - 2. What is a(g(v))?\nAnswer: 25600*v**4 - 2560*v**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3 + 8. Let t = 16 - q. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56, -209, -462, -815, -1268, -1821, -2474?\n\"Answer: -50*v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -314318, -628638, -942958, -1257278, -1571598?\n\"Answer: -314320*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - a**2 - 7)*(0*a + 2*a - 5*a + (4 - 1 - 2)*(4*a + a - 3*a) + a + 0*a - 2*a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2 - 21552*w + 116122176 = 0?\nAnswer: 10776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 - 3*s - 3. Let d be f(-1). What is the second derivative of -26*x + 6*x - d*x - 12*x**4 wrt x?\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*s = -373*s - 96 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4\/5 - 88*h**3\/5 + 236*h**2\/5 - 152*h\/5.\nAnswer: 4*h*(h - 19)*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 - a + a)*(-12*a + 12*a + a**2) + 0*a**4 + 2*a**4 + 3*a**4 to b*a**3 + w*a**4 + r*a + q*a**2 + h and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 50 = -g, -4*g + 17 = 3*u + 10. Solve -u*m = 11 - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-22 + (-28 - -73) - (-91 + -6))\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -22*m - 100. Calculate the remainder when 15 is divided by s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a - 15 = 5*s, 5*s = 5*a - 45. Let i be (s\/16)\/((-3)\/12). Solve -o - d - i = 1, -d = -5*o + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/8 + 314257*c**3\/8 - 942783*c**2\/4 + 942787*c\/2 - 314263.\nAnswer: (c - 2)**3*(c + 314263)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -153 + 8*w**3 + 59 - 2*w + 46 wrt w?\nAnswer: 24*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - r + 84. Let q = -4 + 4. Let v be y(q). Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + (-9849)\/392)*-1?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 614.2019 and 1.3380069.\nAnswer: 615.5399069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 116, 255, 440, 665?\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4 and 97\/602.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 20. Let s be p(7). Let o be ((-1)\/3)\/(s - 8\/(-9)). Solve 2*k - 7 = o*a - 0*k, 16 = -4*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -416 - -229. Let w = 187.1 + c. What is the closest to 1\/3 in w, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 440, 1013, 1670, 2453, 3404?\n\"Answer: 7*b**3 + 524*b - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-9)*q*q*(q*q*q**(-1\/20))\/q*q assuming q is positive.\nAnswer: q**(-101\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31 and -415.\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = 2. What is the remainder when ((-78)\/(-9))\/(8\/12) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 52*j**2 + 5*j - 4. Let i be 2\/(-4)*-1*2\/1. Let a be n(i). Calculate the greatest common divisor of 371 and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -7. Find the first derivative of 3*x**3 - 6*x**3 + t*x**3 + 2 wrt x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Suppose h*z + 380 = 8*z. Round z to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 23*w**2 + 59*w - 25. What is c(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + y = -313, -5*z = -y + 22 + 54 - 197 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -1 - (-8 + -15) - -35\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + -2. Let a = n - -11. Let c(w) = -4*w**3 - 3*w**2 + 3*w + 3. Let x(b) = 9*b**3 + 7*b**2 - 7*b - 7. What is a*x(k) + 7*c(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.2 - -16.79. Let t = 1 + -3.6. Let j = m - t. Round j to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 3*m**2 + 0*m**2)*(-5 + 4 - 1) - 3*m**2 + 2*m**2 - m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 20\/((-1)\/(-3)*6\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7520268 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 342*w**3*y**3 - w**3*y**2 - 19142108*w**2*y**2 - 93596*w*y**4 wrt y?\nAnswer: 2052*w**3 - 2246304*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**3 + 11*j**2 - 13*j + 2. Let v(k) = -4*k**3 + 12*k**2 - 14*k + 1. Let d(a) = -4*v(a) + 3*y(a). List the prime factors of d(14).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 1, x: 1, b: 1, c: 1, i: 2}. Give prob of picking 1 i and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 2*d**2 - 2*d - 4. Let b be f(0). Let c(i) = -i**2 - 5*i - 6. Calculate c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 77. Let c be (1 + f)\/((-28)\/(-12) + -2). Suppose -d - 33 = -5*g + d, g - 4 = c*d. Solve 3*j + 8 = -g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 12:54 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r. Let x(v) be the first derivative of 13*v**2\/2 - 4*v + 15. Let f(g) = 12*g - 3. Let k(j) = -4*f(j) + 3*x(j). What is a(k(y))?\nAnswer: -27*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34837833, -34837836, -34837841, -34837848, -34837857, -34837868, -34837881?\n\"Answer: -b**2 - 34837832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42523 - -116?\nAnswer: -42404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 386\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 406*b**3 + 8*b + 7377 wrt b.\nAnswer: 1218*b**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 3*o - 2. Let a(i) = -7*i**2 - 391*i - 36487. Let z(n) = 2*a(n) - 6*q(n). Solve z(x) = 0.\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 12*v - 3*r - 20 = 0, 0 = -3*r. Suppose 0 = -5*o - v*z - 5, 10*z = 4*o + 5*z - 32. Solve 0*k + 17 = -3*s + 2*k, -4*k + 19 = -o*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 186*l + 185*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 519067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 8*p**2 - 2*p + 14. Let j = 2577 - 2569. Determine s(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*y - 17*y - 4*y)*(-2*y + 4*y - y) + 0*y + 0*y + y**2 + (-2*y**2 + 4*y**2 - 4*y**2)*(1 - 4 + 4) in the form c*y + h + i*y**2 and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89 and 0.1?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b6 - 1253?\nAnswer: -98c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(1\/11)\/k)\/k)\/(k**3*k)*k**(-6)*k*k**(2\/9)*k)\/(k**(4\/5)\/(k*k**4))**(-3\/2) assuming k is positive.\nAnswer: k**(-14837\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 312516 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25291752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.2351275 or -4?\nAnswer: -2.2351275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.524 or 445\/41?\nAnswer: 445\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22246470 and 3870.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o**2 + 5*o - 22. Let q be b(-3). What is the third biggest value in q, 1, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256 - 1934*u + 256 + 2*u**3 + 1934*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*h, -5*h = 5*r - r. Suppose -4*g - 21 = -4*y + 75, h = 2*g. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0196 + 0.4804. Which is the closest to -2\/7? (a) -3 (b) o (c) -2\/13 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-9))\/((-1056)\/72)*64\/56*-7.\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80*-30*27\/(-12960).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llnkieklelffeeel. What is prob of sequence fnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -62, -3, 5 in descending order.\nAnswer: 5, -3, -6, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/n*n**(-2))**(3\/11)*(n**(-1\/2))**(-31)\/(n**2\/n*n)**(4\/5) assuming n is positive.\nAnswer: n**(1589\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192493*u**3 + 29*u + 16019555?\nAnswer: 577479*u**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 421 - 334 - (83 + -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 39817?\nAnswer: 398170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from eiddueeaaeauddm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-14)*(-60)\/(-965). Let b = u - 193121\/16212. Calculate the common denominator of 43\/4 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389507 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 39*y**3 - 29*y**2 - 2*y + 5. Let q be z(-43). Let k = -4563303 - q. Round k to the nearest ten thousand.\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 16045 = -2291. What is the greatest common divisor of y and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 1, j: 3, o: 5, z: 5, y: 4}. What is prob of sequence mj?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 21. Let c be r(-30). Let n(y) = -3*y**3 + 2*y - 2. Let j(p) = 13*p**3 + p**2 - 8*p + 9. Give c*n(l) + 2*j(l).\nAnswer: -l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwiikkkiikkkkkkikkkk. What is prob of sequence iki?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Suppose 0 = -5*f + y*f. Let g be 5\/(-2)*10\/(-5)*1. What is the second smallest value in f, g, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Let g(a) = -11*a**2 - 14*a**2 - 15*a**2 + 34*a**2. What is o(g(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508048.387 rounded to the nearest 10000?\nAnswer: 5510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u + 7. Let c(x) = -9*x - 8. Let d be (24\/(-20))\/(3\/10). Let h(k) = 17*k + 15. Let b(l) = d*h(l) - 7*c(l). Give 7*b(w) + 4*q(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382, -1023, -1920, -3073, -4482?\nAnswer: -6147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205 (base 7) to base 12.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a + 5*a**4 + 5*a - 2*a + 10*a + 5*a**2 in the form d*a**2 + u*a + v + t*a**4 + x*a**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1671\/169 - -49733\/4901. Let m = -12\/29 + g. What is the third smallest value in -22, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/55 + 974\/(-88))*2436\/1827.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 18. Let s(p) = 9*p. Give s(x(f)).\nAnswer: 18*f - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50901378 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d, 0 = -0*a + 3*a - 3*d - 30. Suppose -18*l = -a*l + 22. What is the biggest value in -0.5, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 3:16 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 845619289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 14*x + 4*s = 658, -3*x - 3*s = 339. Which is the closest to 0.1? (a) 0.6 (b) -2\/15 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*l**2 + 0*l - 2\/3*l**3.\nAnswer: -2*l**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/14)\/((-16)\/(-256)). Solve -m = 4*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(sqrt(304) + 1).\nAnswer: -4*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4790261 and -1.4.\nAnswer: -6706365.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o + o**2 - 2 - 4 - 1 - 2. Let p be q(-9). Let h be (-20)\/(-9) - p\/81. Solve -h = -2*b, -10 = -u - 4*b - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190949097.0000027 + 190949147. Let c = m + -50. Round c to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*w - 26 = 0, 3*w + 22 + 0 = 4*t. Suppose -t*x = 5*i - 118, -x + 6*x - 89 = -4*i. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(190) - 4*sqrt(190)))\/(3*sqrt(640))*1.\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*w + 2*w - 11, 2*w - 6 = -2*z. Suppose 5*d - w = d. Solve 2*x + d*x = 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091.09002 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 divided by 1226613.\nAnswer: -31\/408871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, x: 1, h: 3, z: 3}. Give prob of picking 1 n, 1 h, and 1 x.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 33*i = -300. Let s(w) = -2*w + 1. What is the remainder when i is divided by s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 4*x + 4, -55*r = -60*r - 2*x + 58 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 17 = 2. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*f = 18, u + 2*f + 0*f - 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/4053 and 64\/8685.\nAnswer: 60795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. What is the closest to 0 in d, -3, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 3 (b) -0.4 (c) 0 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688 = -2*o + 10*x - 9*x, 0 = x. Is 335 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.89 - 2.58. Let r = -0.74 - 1.28. Let m = r + g. Round m to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1080314*f = -1080321*f - 49, -3*z + f - 15 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 35 - 9. Let m(r) be the first derivative of 0*r**5 + 0*r**4 - 8 + 7\/6*r**6 - 2*r**3 + 0*r**f + 0*r. What is the third derivative of m(s) wrt s?\nAnswer: 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:02 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.2. Let u = f - -0.1. Let r = 11.6 - 13.6. Which is the biggest value? (a) r (b) u (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 8 = 7. Let v be -40 + 129 + 8 + l. Calculate the greatest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -12. Suppose o*t - 9 = 7*t. Put 1, 7, t in decreasing order.\nAnswer: 7, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**5 - 70*c**4 + 230*c**3 + 220*c**2 - 875*c + 490 = 0.\nAnswer: -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8238980 is divided by 222675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 + 1458107\/68 - ((-22)\/(-8) - 3)?\nAnswer: 89, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.99665 - -1\nAnswer: 12.99665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 18 - (-20 + -2) - (-3 + 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79065?\nAnswer: 3, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1884)\/32 + -1045 + 1104?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-24) - 1*(54\/8 - 6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57173848.9484884 + -57173823. Let n = -0.0523916 - t. Let q = n + 26. What is q rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 379296 and 10536?\nAnswer: 379296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110575013 is divided by 262.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, and 1 c when three letters picked without replacement from {q: 2, w: 4, s: 2, n: 1, c: 3, y: 3}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369739 is divided by 278.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 + -108. Suppose 9 = d*t - 13. Suppose 0 = n - 33 - t. Calculate the remainder when n is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502*b = -503*b + 5. Sort b, -1, 4, 10 in ascending order.\nAnswer: -1, 4, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.044963 decades to years.\nAnswer: 0.44963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-30) - -2*(-320661)\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 2 - 31 - -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/225 + 17*p**4\/180 - 7*p**3\/15 + 18*p**2 + 4*p. Factor g(l).\nAnswer: -2*(l - 7)*(2*l - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**5\/20 - 4*y**4\/3 - 5*y**3\/2 - 25*y**2\/2 - 870*y. Calculate j(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/11 - 196*o**3\/11 + 1831*o**2\/11 - 2894*o\/11 - 4920\/11 = 0.\nAnswer: -205, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -140?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.5, -0.2, -13.57, 3, 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-5)\/(10\/3)). Let r = 7 - i. Suppose -3*x - 1 = 5*h - 3, 4*h = r*x - 28. Calculate the least common multiple of 3 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -929212 by 232303.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + k**2 + k. Suppose -6 + 9 = a. Let q(j) = 0*j - 13*j**a - 7 - 27*j - 1 - 2*j - 33*j**2. Let g(x) = -q(x) - w(x). Suppose g(f) = 0. Calculate f.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**3 + 14*q**2 - 9*q + 10. Let x(d) = 14*d**3 - 42*d**2 + 28*d - 31. Let a(u) = -17*p(u) - 6*x(u). What is the units digit of a(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-24)\/(-64)*82\/697\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/7)*z)**(16\/7)\/(z**2*z**(1\/3)) assuming z is positive.\nAnswer: z**(233\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:26 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w + 249. Determine r(-34).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*m**3 + 452 + 3*m**4 - 887 - m**4 + 432 - 2*m as g + t*m + o*m**4 + a*m**2 + u*m**3 and give u.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -59. Let c be (2\/(i\/9))\/((-12)\/3604000). What is c rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, x: 1, q: 2, y: 8, g: 2, f: 2}. What is prob of sequence yqfy?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a494 (base 11) to base 16.\nAnswer: 23902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12381510 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: Rearrange -g - 8*g + 0*g + 0*g to the form o*g + s and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(0 - 1 - 1)*(1 - 1 + 1)*(-3 + 7 - 2)*(52*x + 11*x + 13*x).\nAnswer: 608*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 15 = 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 - 1176*y\/5 - 345744\/5.\nAnswer: -(y + 588)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-9 + 3 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20223 + 2?\nAnswer: 20225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/396 and (-6)\/(-69) - 127547\/707940?\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -189.74704 to 0 dps.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*i + 4 = 0, 43*m = 46*m - 5*i - 29. Let d(r) = m*r**2 + 17*r**2 - 17*r**2. Let w(z) = -z - 2*z + 8*z. What is d(w(y))?\nAnswer: 200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/9*26\/(-78)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 22 - 12 = 0. Suppose -7*p - 5*p = -144. Suppose 18*g - 21*g = 4*l - 45, -5*g - p = -3*l. Calculate the least common multiple of r and l.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 179*u**2 - 36*u - 2021. Let p(q) = -60*q**2 + 11*q + 674. Let l(n) = 2*b(n) + 7*p(n). What is the derivative of l(v) wrt v?\nAnswer: -124*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1655 * -3.76.\nAnswer: -6222.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/7, 2, -142774?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*c*f*n**3 - 36949*c*f - 46*f*n**3 + 1828*f*n wrt c.\nAnswer: -11*f*n**3 - 36949*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31107 + -31083. Solve 17*a = 160 - h for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 7*u + 8424. Let x = -741 - u. Calculate the greatest common divisor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -7*p - 2*w + 18, -w - 12 = -p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3254*i + 158. Is 63 a factor of x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162594130?\nAnswer: 2, 5, 23, 163, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1791*u - 1795*u = 4*z + 8, -4 = u - z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bubl when four letters picked without replacement from bblu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 431.8 - 493. Let f = -0.2 - b. Let m = -42 + f. What is the smallest value in 3\/7, -3\/2, m?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4 + 0\/(3 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2302 = s - 27*k + 29*k, -4*k = s + 2304. What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -3 + -38 + 46?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from dzdddzmdmidi.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**5\/7 + 20*q**4 - 174*q**3 + 2348*q**2\/7 + 584*q\/7 - 3120\/7 = 0.\nAnswer: -78, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 2*j - 4 - 10*j - 7*j**2 - 3*j**3. Let l be w(-6). What is the units digit of (-6)\/9 - l\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from yzxaeww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3, 17\/10, -12 in descending order.\nAnswer: 3, 2, 17\/10, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 12 = -4*n. Calculate the least common multiple of 22 and -10*((-3 - n) + -3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miim when four letters picked without replacement from nryrmimvmimymimmmrri.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a. Let r be d(1). Let b be (-19)\/(-7) + 4\/14. Suppose 0 = b*k + r*s - 17704, k + 0*k = 5*s + 5890. Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/33 or -1.744?\nAnswer: -1.744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 135 (b) 9 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207632 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbvbrvbvvbvvrvvbbb. What is prob of picking 2 v and 2 b?\nAnswer: 196\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/7 and -31\/4346.\nAnswer: 30422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 60396*n + 2415844. Give g(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2 - 29995786*n - 224936794439449 = 0.\nAnswer: -14997893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -104110112 (base 5) in base 14?\nAnswer: -bc723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - i - 50 = 4*i, 2*i = -3*g - 53. Let k be (-3)\/15 - 78\/g. Suppose -4 = 5*b - 29. Is k <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72219 - 50915. Does 173 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7 + 5*q + 12*q - 24*q. Let y(t) = -3*t - 3. Calculate 2*x(d) - 5*y(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from xkxxg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - 121. Let h be 6*((-92)\/l + -4). Let g(y) = -y + 61. Is g(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**3 + i**2 + 6*i - 17. Let l(j) = -12*j**3 - 5*j + 16. Let k(b) = -6*l(b) - 5*v(b). Let o(q) = q**3 - 2*q**2 - 6. What is -2*k(d) + 5*o(d)?\nAnswer: d**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c. Let k(x) = -323*x**2. Calculate p(k(b)).\nAnswer: -969*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1158\/10849 and 1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjcqfqcqb. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1466303, -1466290, -1466277, -1466264?\nAnswer: -1466251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -17, -24, -33?\n\"Answer: -c**2 - 2*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 1945132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -49. Let k be t + 0 + -5 + 64. Suppose 0 = 2*x + 1 - k. Calculate the highest common factor of x and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22439 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - n + 4*n - 3325*n**2.\nAnswer: -3325*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.307 + -1398.\nAnswer: -1398.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 - r**2 - 4*r**3 - r + 4 + 0*r**3. Let v be l(-3). Let x = v + -20. Solve -g = -0 + x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmq when three letters picked without replacement from qggqqgmmggmkq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**4\/36 - 82*j + 17. Let c(p) be the first derivative of t(p). Suppose c(b) = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + -14286?\nAnswer: -14314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -38748120 less than -134.88488?\nAnswer: 38747985.11512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (16\/48)\/(4\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 - 83. What is the greatest common factor of 125 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/5 - 6\/(-15). Suppose -s = -2*s + p. Suppose -2*h + 1 = -s. Solve 6 = h*g - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 41, -1, 2, -2, -3 in ascending order.\nAnswer: -3, -2, -1, 2, 3, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 9. Let z be q(-7). Let m = 36 + -18. Let f = m + -14. Solve -2*o + f = z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = 0, -4*w = l - 102749 - 163792. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -2\/17, 1.23, 2 in descending order.\nAnswer: 4, 2, 1.23, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 o, and 1 s when four letters picked without replacement from ysosyysysysyyyssos?\nAnswer: 16\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -1. Let r = u + 4. What is the second biggest value in 0.5, r, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300.5 - 300. What is the third biggest value in 8\/3, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5740*x**2 + 5765*x**2 - 11450*x**2.\nAnswer: 55*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 272 - 287. Suppose -3*p + 114 = 33. Let a = p + v. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-14))\/((-16)\/(-56)). Find the third derivative of d*n**5 + 10*n**2 - 17*n**2 - 4*n**5 wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 400 = -3*m. Suppose 3*u + v = -71, 5*u - 4*v = -60 - 30. Let o = u - m. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/360 + v**5\/24 + v**4\/6 - 5*v**3\/6 + v**2. Let b(t) be the first derivative of q(t). Factor b(w).\nAnswer: (w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 - 2*u**5 - 2*u**5 + (2*u**3 + 0*u**2 + 0*u**2)*(-u**2 + 2*u**2 + 2*u**2 + u**2 + u**2 - u**2 + (-5 + 6 - 3)*(3*u**2 - 7*u**2 + 2*u**2)).\nAnswer: 14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*m + 59*m - 34. Suppose m*t - 910 = 774. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 31, -5, 3 in descending order.\nAnswer: 31, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -3964974.474.\nAnswer: -3964974.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - -9) - (0 + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/5)*g\/(g*(g*g**(-5)*g)\/g*g))\/(g**(4\/7)*g**6))**2 assuming g is positive.\nAnswer: g**(-208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*t - 0*t - 13, r - 3*t + 9 = 0. Let g be r\/(-5)*10\/(-3). Suppose -6*o**3 - 3*o**2 + o**g + 10*o**3 - 3*o - o**3 + 2*o**4 = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20b - -2?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 26. Suppose x*q - 50 = 7*q. Let v be (8\/q)\/(22\/(-110)). Solve -o - v*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/(4\/6). Let i = w + 67. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762313038 a multiple of 2194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 45 = -8*h. Solve -h*i = c - 4 - 3, 2*i = c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 - (-394)\/7. Suppose -13 = -2*d - 3*q, 0 = 68*q - 63*q + 25. What is the greatest common factor of v and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1449 and 2070?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/5 - 6\/15. Let c be -1 - ((-5 + 2 - -4) + j). Suppose -c*x + 134 = 3*v - 6*v, 0 = 2*x + 3*v - 62. What is the greatest common divisor of 28 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -21*q. Let y(g) = 22*g + 1. Let m(s) = -3*p(s) - 2*y(s). Let r be m(-1). Let z = -10 - r. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.190407 meters?\nAnswer: 3190407000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 5*a + 4, -64 = -2*g - 2*a + 6*a. Let b = g + -15. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 551.322823 - 551.29. Let n = j - 0.0325. Round n to 5 dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**42*m\/((m*m**22)\/m)*m**(-3\/14)*m**15 assuming m is positive.\nAnswer: m**(501\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from sftsstftfttfffff.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 942 - 671. Suppose -1454 = -5*f + 446. Let p = f - g. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 92344.19.\nAnswer: 92349.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-382)\/8 + (-1)\/4. Let n = h - -24. Let j be (n\/15)\/((-4)\/20). Solve -j + 3 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.37 or 8\/181?\nAnswer: 8\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 1. Let u(c) = 2 - 377*c + 0 - 3 + 188*c + 187*c. Give 5*u(l) - 6*z(l).\nAnswer: -4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6489636 and 6910781?\nAnswer: 421145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15836350 rounded to the nearest 100000?\nAnswer: 15800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 48\/7 of a week?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 g when four letters picked without replacement from dhhddhghgggdhg.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d18 (base 14) in base 4?\nAnswer: 3332202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 323 (b) -45 (c) 0.02 (d) -1 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -r. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(4\/(-358)) + -3. What is the tens digit of (-6)\/(-4)*m\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2110*w**3 - 11*w**2 - 57*w wrt w?\nAnswer: 12660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 16*k**2 - 189*k - 144. Let m be c(14). Calculate the highest common factor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 24*n + 53526. List the prime factors of n.\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-2)\/(-2) - 4 - -1). Suppose -3*p + 11 + 1 = z. Suppose -217 = t - 8*n + 3*n, -p*t + 3*n - 953 = 0. What is t rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + (15 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173631820 rounded to the nearest one hundred thousand?\nAnswer: 173600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a century in months?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 + 4*-1. Let v(f) = -8*f - 4. Let x be v(k). Let c be (-4)\/6 - (-78)\/9. Calculate the highest common factor of c and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 2*z)*(2 + 1 - 5) - z + 2*z + 5*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/11 - 46*k**2\/11 - 4*k = 0.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1503450 to the nearest 10000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -30, -7, 18, 45, 74?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14800200 + 7400086 + h + 7400114 - 6*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 895393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3 + 3)*(0 - 2 + 3) + (-435 + 295 - 351)*(-d - 3*d + 3*d)*(-3 + 1 + 4).\nAnswer: 980*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 42*j**2 - 20*j + 5. Is h(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4553 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 4\/1)*0. Suppose 1 + 0 = 2*b - m, 3*b + 2*m + 16 = x. Sort b, 2, 5 in increasing order.\nAnswer: b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 86*c - 39. Let a be q(1). Suppose 5*w + 10 = 5*s, 10 = 3*s + 42*w - a*w. Solve 8*u - 18 - 22 = s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 854 = -5*i. Let k be (6\/7)\/((-36)\/i). Solve 2*f + 2*f = -k*p + 8, 3*p = 3*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88431383 to the power of 1\/2, to the nearest integer?\nAnswer: 9404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 45 (b) 42 (c) 1\/2 (d) -2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 450989004 to the power of 1\/3, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1871 divide 761824780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1800 and -83\/18.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046685 to the power of 1\/2, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k. Let y(d) = 2*d - 59. Give -2*i(m) + y(m).\nAnswer: -6*m - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346115 is divided by 1029.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 128?\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**4\/6 - 3*a**2 + 7*a. Calculate k(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683*j + 23 + 18*j**2 - 683*j - 23.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.3 - 3.3. Let g = 1.1 - 1. Let s = -0.07 - -0.37. Sort s, g, c in decreasing order.\nAnswer: s, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3532 and 44?\nAnswer: 38852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -106, -130, -174, -244, -346, -486?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0063 (b) 11 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/3))\/z**(-1))**(26\/9) assuming z is positive.\nAnswer: z**(130\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) + sqrt(972)*-1*1 - (sqrt(972) - sqrt(972)*2)*-2)\/(sqrt(600) + 1*sqrt(600) - (-2*sqrt(294) - sqrt(294))).\nAnswer: -18*sqrt(2)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Suppose -8 = m*s + 2*s. Is -3 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*a + 4*a. Let t(y) = -3 + a - 7*y**2 - 1 + y**3. Let r be t(7). Solve r*q = -0*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 246371 in increasing order.\nAnswer: 0, 6, 246371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4334510989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143358998, -286717999, -430077000?\nAnswer: -573436001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*v + 1 + v - 2*v)*(0*v - v + 3*v).\nAnswer: -44*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:15 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**5\/60 + h**3\/6 + 13*h**2. Calculate p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4*w**14*w assuming w is positive.\nAnswer: w**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h + 1. Let r(t) = -t**3 - 67*t**2 - 31*t + 2382. Calculate the remainder when r(-66) is divided by u(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8784*h - 8784*h + 16*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*c - 2*t, -c - 4*t = c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 42*o**2 + 373*o + 17047. What is v(-41)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w**2 + 6*w + 5. Let r(x) = -x. Let f(j) = 5*r(j) + y(j). Let o be f(0). Solve -5*s + m = 25, -o*s + 2*s + 3*m = 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + 75. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 85 = 4*h. What is the remainder when 76 + 0 + 7742\/(-553) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1109032.\nAnswer: 1109032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10000\/(-6))\/(6\/27288). Round u to the nearest one hundred thousand.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 < 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * 1.4.\nAnswer: -50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-12 + -2 - -3)) + (-100 - -66 - 13)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a - 14*a + 63*a**2 + 10*a.\nAnswer: 63*a**2 - 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 5*n**2 + 3*n + 11. Let j be f(-5). Let b = -125\/101 - -46027\/303. Let s = b - 152. Sort j, s, -2\/3 in ascending order.\nAnswer: j, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -m - 33, -v - 163 = -4*m - 169 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9 + 27 = 0. Let v = 9 - q. Let r be (v - -4)\/((-2)\/(-4)). Solve -4 = b - r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 16. Let x = s + -79. What is the closest to 0.1 in 0.4, x, -3\/14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, and 1 g when three letters picked without replacement from {k: 3, d: 4, g: 1, i: 1, x: 1, s: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -4*q**5\/5 + 25*q**2\/2 + 11*q. What is the first derivative of f(l) wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1584) + sqrt(220)\/sqrt(5).\nAnswer: -1 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290 - 289. Suppose -c = 5*v - 7 - 5, -2*c = -v - 13. Calculate the remainder when c is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-205036\nAnswer: 61510.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40, 1\/3, 2\/5, -19, 27.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 8:44 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + d + 360 = 0, -4*u + 0*d + 288 = 4*d. What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1354055*u**6 + 41*u**2 - 88952*u wrt u?\nAnswer: 162486600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*u + z + 82 = 131*u, 2*u - 4*z - 40 = 0. Let k be -26*(-6)\/u*68\/51. Suppose 2*d + 55 = 7*d. Solve -n - 2*o + d = 2*o, 2*n + 5*o - k = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14672 + 29283 - 9*z**2 - 14644.\nAnswer: -9*z**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1799 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 26*z**2 + 71*z + 665. What are the prime factors of u(-9)?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2156541.08 + 0.4.\nAnswer: 2156541.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*f = 3 + 9, -4*f = -5*v - 26. Let l be 0\/(-1*(v - 0)). Solve 4*p + 4*n + 0 - 4 = 0, l = 2*p - 2*n - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 59*o**4\/4 - 26*o**3\/3 + 400*o. Find the second derivative of k(u) wrt u.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 461930973 or 0.1?\nAnswer: 461930973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9) + -4*(-92)\/96*5\/(-10)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.2 or -41?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75.33 - 75.3. Which is the smallest value? (a) o (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -168832.\nAnswer: 1\/42208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-3)*i))\/i*i**(-3\/5))**(25\/2) assuming i is positive.\nAnswer: i**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363309853 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(6 + -3)*-7. Let c(h) = 64*h**3 - h**2. Let n be c(1). Let u = n - t. What is the highest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273426?\nAnswer: 2, 3, 199, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/13 - 32842*f**2\/13 - 98544*f\/13 = 0.\nAnswer: -3, 0, 16424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79.09 - 1.09. Let x = r + -78.064. Let i = x + 0.063951. What is i rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -18*t - 29. Let g be q(-4). Suppose -46*m + 51 = -g*m. Suppose -m = 3*w - 227. Calculate the remainder when w is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2716416 and 4716?\nAnswer: 2716416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1032 and 59779116?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25194 and 3553?\nAnswer: 277134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, g: 5}. What is prob of picking 2 g?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*t = 30, -6*h + 3*h - 23 = -5*t. Let o be (-2)\/4*(-2)\/(-4). Let j = 77.6 + -78. Which is the third biggest value? (a) 1 (b) h (c) o (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430, 931, 1402, 1831, 2206, 2515, 2746, 2887?\nAnswer: 2926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7254 by -5.\nAnswer: 7254\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-4)*2\/(-20). Let b(q) = -q**3 - 13*q**2 + q + 18. Let u be b(-13). Suppose -x - u*x = 0. Is x smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:09 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 12*i - 8. Let o be w(-10). Suppose 0*t - 2*t + 2*d = -o, 0 = 2*t + d. Calculate the remainder when 3 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48910 and -698.76819.\nAnswer: 48211.23181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - g**2 - 6 + 10*g - 3*g - g. Suppose 4*h = -0*h - 12, -2*c - h + 9 = 0. Calculate d(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s, -977*q - 12 = -982*q - 3*s. Solve 3*b - 5*x - 5 = 7*b, 3*b + q = -4*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 25*l - l + 2*l - 3 - 10*l. Let o(u) = -36*u - 4. Give 6*g(i) - 5*o(i).\nAnswer: -30*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -52*a**3 + 2*a**2 - a. Give l(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1020 divided by 16.\nAnswer: -255\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 746, 2807, 6180, 10859, 16838, 24111, 32672?\n\"Answer: -k**3 + 662*k**2 + 82*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from icczciicizciici.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 178015 to the power of 1\/2, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6317 or 6313?\nAnswer: 6317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -121, -186?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.08. Let o = 0.02004 - k. Round o to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + o = 8101, -2*r + 457*o = 460*o - 5403. Is 30 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f**5 + 87*f**4 + 51*f**3 + 9*f**2 = 0.\nAnswer: -1, -3\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723 - 400 = 34*r - 561 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1078032 divided by -539016\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27032560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 3)*(1 + -2). Let b = -0.26 + 13.26. Let y = b - 8. What is the second biggest value in m, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50004 + 96847. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229134661.\nAnswer: 43, 28584527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27217.\nAnswer: 17, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-5 - (-3 - -4)) - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13029420 = -22*r + 2167234. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvoogcyvdooc. What is prob of picking 1 c, 1 g, 1 v, and 1 y?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1081 divide 8307485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 52*t - 5. Let j be 0 + -4 - 1 - (-39 - 1). What is the hundreds digit of x(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 891*o**2 - 5701*o - 2627. Determine i(439).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7*b - 8, -b + 149 = -3*y. Let n = y + 53. Solve 0*t + 5*d = 5*t + 15, -12 = 2*t + n*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 5*d - 8. Let c = 4 + d. Let w be (-2)\/(-3)*(-1)\/2. What is the closest to -1 in c, -1\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/6 - 3*c**5\/20 - c**4\/12 - c**3\/6 + 114*c**2. Is f(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 + -148. Suppose 7*a + z = 17. Solve -a*q + 12 = 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12812*i - 508846 = -12825*i. What are the prime factors of i?\nAnswer: 2, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*a + 55, 14 = 4*b + 6. Let q(s) = -7*s - 4. Let r(o) = -77*o - 33. Let g(c) = 26*c + 11. Let p(y) = 17*g(y) + 6*r(y). Determine a*q(u) - 6*p(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 3*n**2 + 3*n + 2. Let x be w(-2). Solve x = -2*h + 3*i - 5*i + 8, -2*h - 5*i = -17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5\/7 - 1122*s**4\/7 + 41204*s**3\/7 - 249384*s**2\/7 - 2785648*s\/7 - 4226112\/7 = 0.\nAnswer: -4, -2, 22, 23, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*t + (-4 + 4 - 2*t)*(2 - 1 + 2) as k + g*t and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 341985 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-3) - 3\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27079320 by -902644.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 310.66867388 - 310.67. Round y to 5 decimal places.\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*n - 3. Let p = n + -2. Suppose 7*y - p*y = 105. What is the remainder when 60 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 585?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (17 + -44) - (2 + 15) - 57\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 + -527400613310?\nAnswer: -527400613569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -0.5, -4\/5, 18\/11, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 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: Calculate the greatest common factor of 6897384 and 416.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/29)\/(a*a**(1\/6)) assuming a is positive.\nAnswer: a**(-191\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 4*l**3 - 29*l - 2*l**3.\nAnswer: -2*l**3 - 29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209) + sqrt(209) + -4*(sqrt(209)*-5 + sqrt(209)))\/(-1*sqrt(1331)).\nAnswer: -19*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -28?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 + -5 - (6 - 12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000765 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/11 + 672*u - 59008\/11 = 0. Calculate u.\nAnswer: 8, 3688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2.17903 (c) -17 (d) -43\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2, 52726\/13?\nAnswer: 52726\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1076 + 1076 - 37*g + 3*g + 3*g - 5*g + (-5 + 1 + 3)*(-g - 2*g + 5*g) + 0 + 0 - 2*g to y + d*g and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 770175\/(-42525) - (-19 + 0).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 40\/(-15) + 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364 + -405. Let l = 38.079 + -0.079. Let o = l + i. Which is the closest to -15? (a) -2 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6397 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.021 (b) -1 (c) 6\/11 (d) 36.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 138637997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*m = -25983, -8082 = -t - 4*m - 1570. Suppose -28*j + 16*j + t = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*x**4 + 70*x**2 + 2*x - 20*x + 18*x wrt x.\nAnswer: -1104*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/(-222))\/(2\/(-108)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -8 + 13 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 5108*d - 3261458.\nAnswer: -2*(d - 1277)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 20 = -12*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + z + 4)*(-325*z + 1 + 657*z - 331*z + 19*z**2) to t*z**2 + c + m*z**3 + q*z and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 1, d: 12}. What is prob of sequence du?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -100000*n**4 + 3*n**2. Let a be m(-3). Suppose -a = 2*y - 5*y. What is y rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.037 - 6.963. Which is the third smallest value? (a) -1\/9 (b) -4\/3 (c) w (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g**2 + 79*g + 128577. Determine t(124).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -40 + 40. Suppose -x = -f*x - 511. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*v - 1\/6*v**3 - 1\/3 + 0*v**2.\nAnswer: -(v - 1)**2*(v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5 + c + 7 - 3*c + c. Suppose 0 = k - 4*g - 18 + 8, -3*k + 2*g + 20 = 0. What are the prime factors of m(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 272, 245, 216, 185, 152?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5396?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 214727 and 10693?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 894.9999986275 + -895. Round u to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Suppose -t*d = u - 4, d - 6*d + 5 = 0. What is the second smallest value in u, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9*24)*-3*1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4\/5 (b) -5 (c) 1 (d) 2\/3652117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 23*g**2 - g - 26. Let k be d(-23). Let u(a) = -13*a**3 - 5. Let y(b) = -7*b**3 - 3. Give k*u(j) + 5*y(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -788085 divided by -9\nAnswer: 87565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*q**2\/9 + 23885278*q\/3 + 78570 = 0 for q.\nAnswer: -3\/304, 117855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 6:03 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2237*j**2. Let x(n) = 2*n**2. Calculate y(x(q)).\nAnswer: 8948*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 194. Let a = n - -147.99999827. Round a to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1094)\/3829 - (-580)\/(-28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 22. Let s be 8\/(-5)*(a + -5). Suppose 3*m + 2*n = s, -3*n - n - 8 = -3*m. Solve h - l + m + 2 = 0, -4*h - 15 = l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 4. Let g be h(-7). What is m in 4*m + 4*m**2 + 4*m - 5 + 6 + g = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3622999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2657481.\nAnswer: 3, 79, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and 2250.\nAnswer: 2249.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, 1, -2, -4 in descending order.\nAnswer: 1, -2, -4, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**2 + 3*i + 4. Let h(k) = -7*k**2 + 3*k + 5. Calculate 5*h(w) - 6*x(w).\nAnswer: w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2595 + 2635 - (14 - 1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384948999.\nAnswer: 3, 23, 37, 50261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -0*m, -3*s - 3*m = 12. Let b(g) = -g**2 - 4*g + 3. Let t be b(-4). Let o = 4 - t. Which is greater: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.3 (c) -3 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4240 and -75\/43672.\nAnswer: 436720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-2)*(-140)\/49. Suppose -2*p - 3 = -35. Let o = q - p. Let y(f) = -f**3 - 7*f**2 - 7*f - 9. Calculate y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.31 rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Let l = c - -9. What is the smallest common multiple of l + -8 - (-3 - 0) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 8) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 94 and -47.5.\nAnswer: -4465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*13\/182.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 241*s + 2249. Determine y(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -2175.17225.\nAnswer: -2176.17225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 1. Let q(j) = -j**2 + 3*j + 1. Let g(p) = q(p) - 4*x(p). Let n be g(0). Which is smaller: n or 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 5. Let n be h(-8). Which is the second biggest value? (a) 4 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*l**3 - 15*l**3 + 1 - 3*l**2 + 5*l**2 - l**4 in the form i*l**4 + q*l + k + c*l**3 + v*l**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 19383.\nAnswer: 1\/19383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + 0 + 3.\nAnswer: 3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-6))\/4*-1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = z + 1, 2*p + 5*z + 13 = 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 476345500 to the nearest 1000000.\nAnswer: 476000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**2 + 3*p**2 - 53*p - 648*p - 4*p**2 - 625*p = 0.\nAnswer: 0, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1\/u)\/u)\/u*u)\/u**(-6)*u*u*u\/(u*u**(-1\/4)*u*u)*u*u*u\/((u\/u**(-3\/2))\/u) assuming u is positive.\nAnswer: u**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 49\/48683?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*y - 71, -4*y - 70 = -3*v + 3. Let x = -8 - y. Suppose 0 = -13*a + x*a + 8. Solve 3*b + 7 = -4*g, 6 - 14 = 5*g + a*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 37391 + 28609. Round m to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*r - 149. Let y = 2381\/3 + -710. Which is greater: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 4. Let h be f(-3). Let y(m) = -m**2 - 2*m + 6. Let c be y(-3). Let w = 1 + c. Solve -2*r + 2 = 0, -3*r = 3*g + w + h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73663853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 36129882*q**2 + 108780661647936*q - 217561467815424.\nAnswer: 3*(q - 2)*(q + 6021648)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102125 to the power of 1\/2, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 60. Suppose -4*a - 2829 = p, 3*p - 5*a - 2829 = g*p. Let n = -1510 - p. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnnqnnn.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14899593.3 + -4\nAnswer: -14899597.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -70.31, -2\/21, 5, 2\/3, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8)*(3 + -5 - 0).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 30389918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-12)*d\/(d*d**(-9\/4)*d)*d*d*d**(-4\/3)*(d*d**4*d*d)\/d assuming d is positive.\nAnswer: d**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86074 + 84011 = 69*n. Calculate the greatest common divisor of 85 and n.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 14, 35, 74, 137, 230, 359, 530?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*r**2 + 26748*r - 567760.\nAnswer: 2*(r - 20)*(41*r + 14194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 364. Let m be r(-15). Let p = m - -424. Solve -14 = 4*q - p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/10)\/(3\/(360\/48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5559*n**3 - 55*n**2 - 5*n + 13989 wrt n.\nAnswer: -33354*n - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 - 27 = 15*p - 41 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1141282, -2282579, -3423876, -4565173, -5706470, -6847767?\n\"Answer: -1141297*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t. Let c(x) be the second derivative of -41*x + 0*x**3 + 0*x**2 + 1\/12*x**4 + 0. Determine y(c(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 45*l. Let r(h) = 304 - 617 - 23*h + 49*h + 308 - 20*h. Determine r(k(o)).\nAnswer: 6*o**2 - 270*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.346 less than -0.7477?\nAnswer: -1.0937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/3*18\/15. Let g be 4*4\/(-32)*d. What is w in 12*w - 9*w**g + 8*w**2 - 10*w - 1 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -7, 326\/201, -101\/4, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135434.\nAnswer: 2, 3, 189239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-15) - ((-24)\/(-10))\/(24\/(-12)). Factor 2 + 1\/3*z - y*z**2.\nAnswer: -(z - 3)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6309 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*w + 1. Let o(z) = z**2 + 2*z + 1. Let i be o(w). Solve 0 = -i*b - 7 - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 717 - 721. Let o = -557 + 556.5. What is the closest to 1\/3 in 0.1, r, o, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.58 + 0.18. Which is the closest to 0.2? (a) x (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -0*g + 2*g. Let b be ((-3)\/g)\/((-2)\/(-4)). Is b less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w**3 - 7. Let q(i) = -3*i**3 + 2. Let f be (-1)\/(-5) + 208\/10. Determine f*q(o) + 6*v(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + -822d?\nAnswer: -821a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.62 - -0.22. What is m rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1)*(11 + 4 - 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 1:33 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*f**3 - 3*f + 451*f**3 + 3*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 15953108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + -6. Let x = -31 - q. Which is the third biggest value? (a) -1\/2 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1.1, 1, -2\/15, -5, -135?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-12))\/y**(-1\/3) assuming y is positive.\nAnswer: y**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-196)\/(-3) + 2 + 2\/(-6) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -5*x + 4*n, 0 = 13*x - 2*n - 1266 + 960 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 0.14 (b) -2\/13 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 20159369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -46. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1338195.9 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 367 + -93. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/((-10)\/(-90)*-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 15*n**2 - 43*n + 14. Let o(k) = 3*k**3 + 44*k**2 + 129*k - 41. Let q(g) = 2*o(g) + 7*u(g). Does 3 divide q(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6634 bigger than 28\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 3*t**2 - 3. Let f(h) = 2*h**2 + 3*h + 6. Let w be f(-4). Let b(i) = i**2 + 26 - 3*i**3 - i**2 - w*i**2 + 21*i**3. What is 6*b(n) + 52*x(n)?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -1418. Let h be (1 + (-12)\/4)\/(4\/p). Suppose -2*n + 3*w + 237 = -0*n, -5*n - 3*w + h = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/4046 and -23\/374.\nAnswer: 44506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/12 + (-15)\/(-6). Solve x = k + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -16. Suppose 15 = k*j - 0. Let r = j + 4. What is the remainder when 29 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1369178115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 4:27 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 4*c - 1. Let h be s(-3). Let z(j) = j**2 + 13*j + 14*j - 9 + 9*j - 1 - 28*j. Give z(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14043839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 6*k + 3. Let f be a(-7). Let j = -169 + 118. Let d = -47 - j. Solve 0 = -2*i + d*c - f, -3*i + i = -3*c + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 8*f = -4*f - 18, -39 = -3*s + 3*f. Let t = 13 - s. What is the second derivative of -t*b**4 - 5*b + 0*b + b wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15893655 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.1. Let a = 73\/56 - 15\/8. Sort -2, f, a in ascending order.\nAnswer: -2, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 2*11 + (0 - 16\/4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12486.\nAnswer: 2, 3, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*m = 77*m - 191*m + 5922 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4, -6*s + 8 = -4*k - s. Let i = 3\/65 + 2\/13. Factor 0 - 1\/5*f - 2\/5*f**2 - i*f**k.\nAnswer: -f*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 9:02 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 70. Let g be h(15). Let o(l) = 5*l - g*l + 6*l + 0*l. Let i(n) = -10*n. Give o(i(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/6118248 and 15\/16.\nAnswer: 12236496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 1.482692.\nAnswer: 28.171148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191697 is divided by 61820.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0 + 2*n + 2593\/12*n**4 + 5\/6*n**3 + 6*n**2. Let o be m(-9). Round o to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/15 + (-61)\/(-3). Suppose d = 0, o + 2 = u + 4*d. Suppose -2*n - 3*n + 10 = 0. What is the highest common divisor of n and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-6 - 295\/(-50)). Calculate the highest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o**2 - 1578*o + 27960. Give y(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -257 - -b1a32?\nAnswer: b1797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8376379293 rounded to three dps?\nAnswer: -0.838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/12 and 5\/866.\nAnswer: 5196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 242, 783, 1830, 3551, 6114, 9687?\nAnswer: 14438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2884*q**2 - 2076*q**4 + 3764*q**4 + 1041*q**2 wrt q.\nAnswer: 40512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620\/31 - ((-36)\/(-2) - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 56 - 88 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, 9, -2, 4, -1, 7 in increasing order.\nAnswer: -2, -1, 4, 7, 9, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28779\/9910 - -4\/991. Suppose -8*l - 52 = -4. Find the common denominator of 9*((-319)\/l)\/11 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p - 4*v + 4, 5*v + 27 = 3*p. Solve p*y = -5*f + 2*f + 23, -5*y - 5*f = -35 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -33*v**2 + 454*v + 28. Give j(13).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1 - 0)\/((-5)\/(-25)))\/(8\/(-48)). Solve 16*m = i - 110 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -455.7 - -463. Round x to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 8. Suppose -2*h + 3*u = -48 + l, 2*h - 27 = -3*u. Let m = 20 - h. Solve 0 = -a + 4*k + m, 5*a + 15 = -5*k - 0*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-3406.97\nAnswer: 17034.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/n*n)\/(n*n*n\/(n\/((n\/n**(-3\/2))\/n)))*n**4*n**10 assuming n is positive.\nAnswer: n**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7 - 5*h - 13*h - h**2 + 2*h + 2*h. What is the units digit of t(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 350, 352, 354, 356?\n\"Answer: 2*s + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6. Suppose -6*a + 2*a + 8 = x. What is the common denominator of a*(-18)\/40 - 1 and 95\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107645149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39412 and 1888?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(90)\/sqrt(3))\/sqrt(6)*-5.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*m + 4, 3*x = 3*m + 18. Solve -1 = x*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/233 in 0.03, -2, 14?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/210*10*(-3)\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 5*b**4 - 47265*b**3 - 520400*b**2 - 1135860*b + 1703520 = 0.\nAnswer: -6, 1, 9464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(180)\/(sqrt(40) - sqrt(10)) + (sqrt(18) - (5*sqrt(72) - sqrt(18)))**2).\nAnswer: -5760 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9092018477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1141, 4169, 9089, 15901?\n\"Answer: 946*s**2 + 190*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010111111 + -11001001000111101?\nAnswer: -11010011011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3. Suppose 0 = -5*p + 2*p - 15. Sort p, h, 0 in ascending order.\nAnswer: p, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3962341*f**5 + 25092786*f.\nAnswer: -79246820*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -68450*x**2\/7 - 2220*x\/7 - 18\/7 = 0. Calculate x.\nAnswer: -3\/185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v)\/v*v\/((v\/(v**(-3\/4)\/v))\/v)*v\/(v\/(v*v**(-6)))*v**4*(v**(-1\/12)\/(v*v**(-4)))\/(v*v**(-1))**(11\/7) assuming v is positive.\nAnswer: v**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674725 rounded to the nearest one thousand?\nAnswer: 1675000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 166?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in 6, -0.1, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.84, -22, 4, 5, 0.1?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-3))\/(27\/(-81)). Let m be (8\/6)\/(1\/3). Suppose -v = 1, 7 + 8 = m*d - w*v. Solve z - 3*i + 1 = -d, 0 = 4*z + i - 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 2952752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 865 + -44?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 4*r**2 + 36*r + 17. What is p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.5, 2, 5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/90 and -103\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from ikmkgjgr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a**3 - 21*a**2 + 16*a - 62. What is the thousands digit of b(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.995373 litres?\nAnswer: 8995.373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846.\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 184 (b) -4 (c) 81\/5 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4*c**3 - 73*c**3 + 78*c**3 + 0.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6 - 6 - 4*a + 6 - a**2. Let z = -117 + 111. Give b(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6)\/48*1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-276)\/(-161)*(-14)\/(-4). Calculate the highest common divisor of 21 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-21 + 17 + -14 - 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**4 + 67*r**3 + 68*r**2 + 3*r + 3. Let g(q) = -15*q**4 + 135*q**3 + 136*q**2 + 7*q + 7. Let m(c) = -3*g(c) + 7*j(c). Factor m(b).\nAnswer: -4*b**2*(b - 17)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.01981831\nAnswer: -0.001981831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + 2*k)*(3*k + k - 6*k)*(8*k - 2*k - 3*k - k + 2*k - 3*k + (-4 + 1 + 1)*(-k + 0*k + 3*k)) - 8 - 36*k**3 + 34*k**3 - 2.\nAnswer: -14*k**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7be4 (base 15) to base 10.\nAnswer: -26314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 9. Let n be g(12). Is ((-105)\/n - -3)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 104, 206, 306, 404?\n\"Answer: -m**2 + 105*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18371076.\nAnswer: 2, 3, 263, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*w = -1643, -6*w + w - 25 = 0. Suppose 4404 - p = z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k - 17. Let p be 0 - -4 - (-2 + 0). Let n(g) = -5*g - 6. Let r(d) = p*i(d) - 17*n(d). Let z(c) = 6*c. Determine r(z(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2137875112.\nAnswer: 2, 267234389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 + 747. What is d rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -420, 3046 in increasing order.\nAnswer: -420, 109, 3046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 6. Let l be (-26)\/8 + (-1)\/(-4). Let y be p(l). Suppose 6*t - y*t = 9. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - r - 1. Let x(q) = -8*q**3 - 10*q**2 + 10*q + 32. Suppose -2*u = -10*u - 80. Let t(w) = u*z(w) - x(w). Differentiate t(v) with respect to v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181108699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*a - 8 = -4*z + 453*a, 0 = 89*z + 5*a + 247 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -91, -62, -21?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260 - 5*r + 338 - 262 - 267 + 451.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-240)\/20)\/300.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3330*q + 21789*q**2 + 2 - 10887*q**2 - 2 - 10901*q**2)*(-3 + 3 + 2*q) in the form v*q + s + t*q**3 + f*q**2 and give f.\nAnswer: 6660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-1 - 5) + (-6685)\/(-105). Suppose -l + 67 = 5*p - o, l - 115 = 3*p. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16613301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**4 - 116*q**3 + 2268*q**2 - 5932*q + 3784 = 0?\nAnswer: -43, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178783, -178868, -179009, -179206, -179459, -179768?\nAnswer: -180133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/((-441)\/(-2632))*66\/77. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453726 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnss. What is prob of sequence nss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, 0.1, -0.02, -5\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0*g**2 + 2*g + 14\/3*g**3 + 8. Let u(w) = w**2. What is t(u(j))?\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 10*u**2 + 5*u + 19. Determine x(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1302 and 917.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (28 - -1) + (-3 - 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38964 and 22920?\nAnswer: 389640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/(-270)*4\/(64\/15)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6848 - -28181. Suppose -11*s + 34*s = f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 2*y**2 - 3*y**2)*(-1 - 2*y + 1)*(-2 + y + 2 + (17*y + 66*y + 256*y)*(-2 + 2 - 1)).\nAnswer: 676*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 7. Let k be y(-5). Suppose -3*v = -k*v + 80. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**3\/3 + 4*q + 1. Let f be n(5). Let k = 31 + f. What is the least common multiple of k and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5542118402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 3*o**2 - 6. Let z be y(-3). Sort 4, z, -5, 5 in increasing order.\nAnswer: -5, 4, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 11 = 3*d, -d = -47*m + 50*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -23 - (34 + -52) - 30?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (6\/1 - 2). Suppose 0 = -2*d - 87*v + 84*v - 11, 0 = 2*d - v + 7. Which is the smallest value? (a) 0.2 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.6 from -2.256009107.\nAnswer: -7.856009107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**6\/216 + k**5\/36 + 16*k**3\/3 + 12*k**2. Let n(y) be the first derivative of b(y). Determine w, given that n(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 6:02 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491 + 569 = 13*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12029 and 579531.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 30*h = 210 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 91*a**2 - 1513*a - 636. Calculate d(69).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.7 - 8.99. Let n = -29.71 + t. Let z = -29.4 - n. Which is the nearest to 2\/5? (a) 1\/3 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130030493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 32 = 8*c. Calculate the remainder when c\/4 - -6 - -25 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2. Suppose 13*t - 10 = 16. Let o(y) = -24*y**t + 19*y**2 - 34*y**2 + 6*y**2. Give o(h(r)).\nAnswer: -297*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 66*d**2 + 65*d - 23. Calculate a(32).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - i**2 + 43*i - 11. Determine v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7577379\/14 or -541241?\nAnswer: -7577379\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:33 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 147919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204560, 409121, 613682, 818243, 1022804?\nAnswer: 1227365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 225 = c, 2*c = 5*c - 5*g + 607. Let j = c - -214. Solve -4*m + 16 = -2*q, 4*q - j*q = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 18*c - 8. Let k be v(-17). What is the tens digit of k - -6 - (-3)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 9 = 414. Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1120\/(-24))\/((-240)\/72).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434 a factor of 1979545654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 126\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 358339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 = -2*x, 0 = -s + 4*s - x - 12. Suppose -s*z + 45 = -12*z. Let l(g) = -g**3 - 6*g**2 - 6*g + 6. What is l(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/50 and 119\/1766010.\nAnswer: 8830050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1, 38578, 31, -0.3 in decreasing order.\nAnswer: 38578, 31, -0.3, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 94 (base 10) to base 8\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -91*x - 4646. Give s(-51).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504.9 take away 4483.95186?\nAnswer: -3979.05186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04274751 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + 5*y)*(4*y + 3*y + 7*y) - 3*y**2 + 6*y**2 - 4*y**2 + 2*y**2 + 0*y**2 - 695*y + 2 + 603*y.\nAnswer: 29*y**2 - 92*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*h - 345 = -106*q - 176 + 389, 4*q - 7 - 13 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + h**3 + 14*h**3 - 9*h**3 - 5*h**3.\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183 - 121. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*a**2 - 3 + 2 - 16*a**2)*(-7*a + 7*a + 3*a) to v*a**3 + g + y*a + t*a**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 34533870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-131 - 321 + 19)*(-4 - 3 + 2)*(3*p + p - 5*p) + (1 - 1 - 2*p)*(0 + 0 + 2) + p + 2*p - 6*p to y + j*p and give j.\nAnswer: -2172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 158300000 to the nearest 1000000.\nAnswer: 158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 35 = 39, -q + 2522 = -3*m. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**3 + 2*d**2 - 3*d - 1. Let r(f) = 5*f**3 + 2*f**2 - 3*f - 2. Calculate 4*n(p) - 3*r(p).\nAnswer: p**3 + 2*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 6) to base 7.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**3 + 0*c - 1\/20*c**4 + 13*c**2 + 0 + 1\/50*c**5. Suppose z(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 5, -7\/3, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -88. Let v be i\/27 - (-4)\/(-9). Suppose -10*n + v*n = -310. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 560*z - 560*z + 11*z**3 + 2*z**2 + (0 - 2*z + 0)*(z**2 - 3 + 3) - 2*z**3 + 0*z**2 + 0*z**2.\nAnswer: 7*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 100601, 402416, 905441, 1609676?\n\"Answer: 100605*b**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9156, 9074, 8932, 8724, 8444?\nAnswer: 8086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:47 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/155 - -313\/465. Let n = 1 + -0.8. Suppose 4*p = -t - 4*t + 11, 1 = p + 3*t. Which is the nearest to n? (a) p (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:46 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4912, -5, -4.\nAnswer: -4912, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(2\/8)\/((-82)\/328).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4758?\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 69 (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11982*h**5*n**2 + 102*h**3*n**2 - 271*h**2*n - 558*h*n**2 + h*n - 5*h wrt h.\nAnswer: -718920*h**2*n**2 + 612*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - -1 - (-4 - -5). Suppose 4*b - 2*u = k, u + 0*u + 4 = 3*b. Solve p - 5*g = -11, -p - 4*g + 16 = -b*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186288 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5724\/(-848)*((-8)\/36)\/((-1)\/12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 + 1968*c - 370393 = 0. Calculate c.\nAnswer: -2141, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*o - 1646 + 1663 = 0, 12*l - 55 = o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*sqrt(48))**2.\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18620\/60 - 2\/(-3). Suppose -3*f + 361 = -z. Does 28 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7ace8 (base 15) to base 11.\nAnswer: -247884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 less than -7?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99)*1)\/sqrt(144))**2 + -4*(sqrt(1331)*4)**2 + 4.\nAnswer: -340709\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5539\/352 - 521\/32. Let v = 1418 + -15614\/11. Find the common denominator of v and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/(10\/12). Let m = 6171\/5 - 1234. Let n = 3 - 3.1. Which is the closest to n? (a) j (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(95))\/sqrt(5) - (sqrt(475) + -1)) + -4.\nAnswer: -7*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - 1 + 1)*(0 + 2 - 1) + (-58 - 118 - 161)*(3*x + 2 - 2)*(1 + 3 - 2) + 3*x - 1 - 5*x + 3*x to z + u*x and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 371946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - -6)\/(2\/13). Let i = -37 - q. Let z be (-78)\/(-90) + 3 + (-4)\/1. What is the second biggest value in 3, -0.5, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/21 (b) 71 (c) 1\/6 (d) -0.2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29564 (base 10) in base 12?\nAnswer: -15138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 122 - 32. Calculate the remainder when 88 is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 1, l: 1, f: 2}. Give prob of sequence fs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 0. Let f(a) = -a**3 - a**2 - 2. Let x be f(-2). Suppose 0*m = m - k*b + 4, -3*m + 27 = -x*b. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086720653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 233 - 2*u**2 - 4*u**2 + 71 - u**2 + 11*u**2 + 160*u.\nAnswer: 4*(u + 2)*(u + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, -3\/8, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = b - 8, -324*f + 329*f + 110*b + 256*b = 1469 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 3) in base 14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*o**2 + 9*o**3 - 9*o**3 + 0*o**3 - 2*o**5 - 63*o**4 + 217*o**4 wrt o?\nAnswer: -120*o**2 + 3696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {s: 1, e: 1, h: 2, a: 2, d: 1, j: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -471 + 646. Solve g*i + 30 = 169*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.4684521 rounded to 2 dps?\nAnswer: 55.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.078*-0.04.\nAnswer: -0.00312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -15*b**5 + 5*b**2 - 9. Let t(c) = 7*c**5 - 3*c**2 + 4. Let u = 29 - 20. Let s(w) = u*t(w) + 4*g(w). Find the third derivative of s(n) wrt n.\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 6. Let d = -6 + g. Which is the third smallest value? (a) -3 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 37*q = 4137. Let y = 242 - q. What is the least common multiple of y and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9*x**2 - 12*x + 3. Let i(f) = f + 43*f**2 - 26*f**2 - 5*f**2 - 8*f**2 - 5*f**2. Suppose 0 = -3*k + 12 + 6. Let l(y) = k*i(y) + o(y). Factor l(z).\nAnswer: 3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2\/23 (c) -49.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let m = f - -1.2. What is m rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 15*f**2 - 14*f + 1. Let u be m(14). Let o be 18 + (-12 - -8) - 0\/u. What is the greatest common divisor of 63 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439\/18 - -49\/2. Let m = 1 + -3.1. Let f = -1.7 - m. What is the closest to -1 in f, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (12 - 17) - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 - 27 - 78*x + 64 as k + i*x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)*q*q**(1\/6) assuming q is positive.\nAnswer: q**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*i = -11*i - 1520 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q + 4*x, 2*q = -q + 3*x + 18. Let a be (-14)\/12*(-1)\/q. Let g = 3 + -4. Are g and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 11*k - 8. Suppose 4 + 41 = 5*t. Is c(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 85 = 15. Suppose -8*s + 16*s = -15*s. Solve 4*t + c = -s*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c**4 + 184*c**3 - 452*c**2 + 176*c + 48 = 0.\nAnswer: -6, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.875 - -249705.87\nAnswer: 249706.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((99\/(-90))\/11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 14*b + 14. Suppose -193 = -68*g + 67*g. Let f = -97 + g. Calculate the remainder when f is divided by c(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57146\/5 + -11430. Sort z, 4\/7, 50.3.\nAnswer: z, 4\/7, 50.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 1. Let k be m(-4). Let l(f) = -62*f - 429. Let x be l(-7). Suppose -5*v = 5*s + k - 66, -x*s - 5 = -v. Solve 0 = w - 3*w - v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165 + -170. Which is smaller: -2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**4\/12 - x**2 - 215*x - 13. Let q(m) be the first derivative of k(m). What is q(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6131?\nAnswer: 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = 12*i + 30. Calculate the least common multiple of i and 218.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 5*n**2 + 5. Calculate o(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) -5\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 75*v**8\/56 - v**4\/6 + 5*v - 3. Find the third derivative of o(t) wrt t.\nAnswer: 9000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - 84. Suppose 0 = -n*z + 5*t + 121 + 4, -115 = -5*z + 3*t. What is the remainder when 34 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189616898 divided by -4?\nAnswer: 94808449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 - 43*b - 4. Let w(d) = -d**2 - d - 1. Determine -u(v) + 4*w(v).\nAnswer: -v**2 + 39*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**5\/420 + m**4\/24 - 22*m**3\/21 - 133*m**2\/2 + 49. Let h(c) be the second derivative of a(c). Find s such that h(s) = 0.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25341 (base 7) to base 4\nAnswer: -1220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Suppose -l*j + 27 = p, 3*j - p = -4*p + 9. Let h = j - 5. What is the least common multiple of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1932*n + 1788*n = -126480 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892*r - 1177 = 53*r + 501. Let q = 0 - -2. Let p = 3 - q. Solve -p - r = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4245491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -24 - -9 - -18 - (0 - 7)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80310 is divided by 59.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*s + 14, -9*s - 2*g = -5*s + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + 5 + 46 + -43. Solve i = -3*z + 4*p + 8, -5*p - 6 = 2*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/90 and 19\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1123353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 94*g = -70*g - 2672 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 39.44321mg?\nAnswer: 39443210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 1, w: 1, t: 1}. Give prob of picking 1 c and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2918779 divided by 1?\nAnswer: -2918779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -137678, -138333, -138988, -139643, -140298, -140953?\n\"Answer: -655*l - 137023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**2*a**(-3))\/(((a\/a**(-2))\/a*a)\/a**(1\/8)))**(-50) assuming a is positive.\nAnswer: a**(575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + 12. Suppose 0 = 2*g - y + 48. Put 3, g, -3, 1 in ascending order.\nAnswer: g, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00534818 rounded to 4 dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4924111 to the nearest integer?\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 14469?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -59, -147, -231, -311, -387, -459?\n\"Answer: 2*t**2 - 94*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let d(w) = 2*w - 8*w - 4*w + w + 0 + 1. Give r(d(a)).\nAnswer: -9*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/5, 0.1, 1086, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -53465?\nAnswer: -53469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmbmbmmmmb. Give prob of sequence mm.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o*y**3 + 260657*o*y**2 + 16*o + 10517*y**3 - 150*y**2 + 2 with respect to o.\nAnswer: -y**3 + 260657*y**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*f + x, -6*f - 11 = -9*f + 5*x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185 - 3143\/17. What is the closest to -0.3 in -4, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 6. Let j be l(16). Is j\/30 - (-568)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 5. Find u such that 2*u + 0 + 0 - 2*u**k + 2*u = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 1 + 9*i + 23*i.\nAnswer: 32*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/(-54))\/((-2)\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 1)*(1936\/55)\/16. What is the second derivative of 29*l - b*l**5 + 0 + 2 + 12*l - 108*l**5 wrt l?\nAnswer: -2380*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 28*i**2 - 45*i - 12. Is p(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**3 - u**2 - 2*u + 57. Let q(i) = -6*i**2. Calculate q(r(z)).\nAnswer: -216*z**2 - 144*z - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29831563 + -3?\nAnswer: 29831560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -4, 1\/3, 0.4 in ascending order.\nAnswer: -4, 1\/3, 0.4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 20*z - 8 + 1 - 23*z + 14.\nAnswer: -43*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14132?\nAnswer: 2, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4245, 4195, 4143, 4089?\n\"Answer: -b**2 - 47*b + 4293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**3 - 11*y**3 - 16*y**2 - 22*y**2 - 10*y**3.\nAnswer: y**3 - 38*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.13 != 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/9 + 13658*v**3\/9 - 7900808*v**2\/3 + 1309880872*v\/9 - 4861158304\/9 = 0?\nAnswer: 4, 53, 3386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -42*v - 6. Let p be w(4). Let d be 16\/6*p\/(-116). Solve -19 = -d*m - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 10, 7*t - 6*t = -4*q + 3094. What is the greatest common divisor of 58 and t?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, -0.1, -0.15, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 = -7*v + 246. Let r = -106 + v. Solve r*q - 14 = -2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a + 48*a + 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*g**5 + 10*g**4 + 227*g**2 wrt g?\nAnswer: -1260*g**2 + 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 341529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 0.169 (c) 0.24 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4\/3, 29 in decreasing order.\nAnswer: 29, 0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 36 - 17)*(j**2 - 4 + 4) + (0 + 0 - j)*(-4*j + 0*j - 8*j).\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v. What is x(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 199891 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2975 + -2967.251. Let o = p - 7.8. Round o to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 4*l**2 - 11*l + 12. Let a(o) = -3*o**3 + 8*o**2 - 21*o + 25. Let y(j) = 3*a(j) - 5*g(j). List the prime factors of y(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 3. Let n(h) = 5*h + 9. Let g(j) = -8*l(j) + 3*n(j). Let m = -90 - -93. Let x be g(m). Solve x = 8*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/15*g**3 + 16\/15 + 8\/15*g - 4\/15*g**2 = 0. Calculate g.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 97123.41 years?\nAnswer: 971.2341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3845.99 to the nearest ten.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 3*f + 5. Let j be g(0). Let h be 2\/(-7) - 300\/(-21). Let u = -11 + h. Solve j*z + 14 = 3*r - 1, 4*r = -u*z + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - -86. Suppose r*j - 13*j = -585. What are the prime factors of j?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0259667 and 0.451156?\nAnswer: 0.4251893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - -157?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3\/(-6)*2\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:26 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**4 + c**4 - c**4)*(2 + 5 - 5) + (6 + 11*c - 6)*(-5*c**3 + 67 - 67) as x*c**3 + t + q*c**4 + n*c + f*c**2 and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 2 (c) 5 (d) 5\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2031*x - 14*x**2 + 59*x**2 - 16*x**2 - 18*x**2 - 20*x**2 in the form t*x**2 + n + o*x and give o.\nAnswer: -2031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.768318ng in tonnes?\nAnswer: 0.000000000000006768318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -274*j - 610*j + 351*j as u*j + a and give u.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/60 - j**4\/24 + 2*j**3\/3 + 13*j**2 - 2*j + 310. Let l(k) = -k + 5. Let a be l(5). Calculate x(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u = -18*u + 33. Let n(g) = g**2 + 5*g + 7. Determine n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.125 + -14.475. Let u = 2.4 - k. Let m = 17.64 - u. What is m rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63184*j - 28 - 129 + 63185*j to x*j + t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1699095t in micrograms?\nAnswer: 169909500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**4 + 5*m**3 + m**2 - 7492*m + 36234?\nAnswer: 8*m**3 + 15*m**2 + 2*m - 7492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -89574 - -0.3\nAnswer: -89573.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, z: 8, o: 2, n: 1, q: 5}. What is prob of picking 2 q, 1 n, and 1 h?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 1\/58680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2942939.4 months to years.\nAnswer: 245244.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3329319385?\nAnswer: 5, 7, 37, 2570903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(5 + -3) + -2. Let d(x) = 31*x**3 + x**2 + x + 1. Give d(j).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 + 1140\/36. Suppose -3*x - x + f = 0. Is 188 + 12\/x*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 5*j**2 - 7*j - 5. Let v be f(7). Let y = v + -21. Suppose -3*n + y = -31. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6545 is divided by 226.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 305824004 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 - 2*a + 3. What is q(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aada when four letters picked without replacement from {d: 16, a: 4}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 6185 = -62*s - 6757 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 20 - y + 2*y**3 - 3*y**3. What are the prime factors of x(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819 + 733 = 4*q + 3*f + 2*f, -2*q = f + 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 437138623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 1\/4*h**4 - 5\/3*h**3 - 18*h + 12 + 9\/2*h**2. Let w be q(4). Solve 2*r = 3*f + f - 20, -3*f + 8 = w*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26.0009 and -153091630?\nAnswer: 153091603.9991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 13) to base 9.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 + t. Let y be f(1). Suppose 14 = u + y*x, -8 = -3*u - 5*x + 4. Let z(j) = 2599*j**3 - 1 - 1389*j**3 - 1205*j**3 + j**2. What is z(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 1, -2\/7, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 3*d + 23. Determine j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 1803*s**4\/2 - 3592*s**3\/3 + 1986. Find the third derivative of h(x) wrt x.\nAnswer: 21636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-11 + 45) - (-8 - -3 - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 769472 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4*u)**(34\/5)*(u**(-2\/7))**(7\/3))**(-28\/9) assuming u is positive.\nAnswer: u**(-2800\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*c**3 + 26\/5*c**2 - 116\/5 + 91\/5*c.\nAnswer: -(c - 29)*(c - 1)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 237*q = 241*q - 653, -j - 5*q + 657 = 0. List the prime factors of j.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-6 - 6)*7. Suppose 252 = -0*f + 4*f. Let l = 75 - f. What is the greatest common factor of l and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212502152 (base 7) in base 13?\nAnswer: 2819585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*c**2 + 2*c - 278.\nAnswer: -172*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/4 - 2*d**3\/3 - 3*d**2 - 7*d + 1090. What is s(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from pipiipp.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + -1*sqrt(91)*1)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -157 (b) -5\/4 (c) 2\/3 (d) -4 (e) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122102 + 1?\nAnswer: 2122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 + 3*s**2 - 3*s**2 + (-s + 3 - 3)*(-5*s**2 + 7*s**2 + 23*s**2).\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 2, 11, 0.19 in increasing order.\nAnswer: -0.01, 0.19, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 13*o - 7. Let w be n(13). Are w and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 + -112. Suppose 0*l - 3 = -l. Let k be l\/(-9)*-6 + -1. Put k, 5, t, -1 in ascending order.\nAnswer: t, -1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 7 + 113*r + 1 + 15.\nAnswer: 113*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -25 + 280\/14 - 10\/(-1). Solve 5*c = -j - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**5)\/((b\/((b\/b**(2\/47))\/b))\/b)*(b**(5\/2)*b)\/b**(4\/17) assuming b is positive.\nAnswer: b**(-1243\/1598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-2 - -10) - -1) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t - 9415 + 5201 = 0. What is the remainder when 496 is divided by t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose 3*b = 5*v + 6, -2*v - 8 = -o*b - 0. Sort 0, 1, b.\nAnswer: 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(130)*2)\/(-6*-1*sqrt(10)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(1472*l + 10*l**5 - 1472*l)*(-17 + 6 + 15 + 36).\nAnswer: 800*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/(-25) - (-2)\/5. Suppose 0 = -j*t + t - 1. Do t and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71306039.4*-1.\nAnswer: 71306039.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (72*x - 41 + 41)*((-2*x - 2*x + 3*x)*(-3*x**2 + x**2 + 3*x**2) - 84 + 84 + 23*x**3) in the form w*x + a + l*x**3 + b*x**2 + v*x**4 and give v.\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - 3*o**2 + o - 3. Let t(z) = -z**3 + 7*z**2 - z + 9. Let q be t(7). Let x(c) = c**2 + c. Let d(r) = q*x(r) + k(r). Is 8 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-12))\/((-10)\/(-135)). Differentiate 2 - 3 + 2*h**4 - i*h**4 wrt h.\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avaga. What is prob of sequence vg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077700 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 4*w + 1. Let n be c(-6). Let t(f) = -f**2 - 12*f - 9. What are the prime factors of t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 7*j + 5 + 2)*(-7*j - 6*j + 7*j) in the form r*j + q*j**2 + p and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2135.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5453993?\nAnswer: 199, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**5 + 132*s**4 + 1244*s**3 + 2652*s**2 = 0.\nAnswer: -17, -13, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 991 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 218371, 218375, 218379, 218383, 218387?\n\"Answer: 4*v + 218367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Let h(s) = -s**2 + 2*s - 2. Let v be h(2). What is the remainder when 41 is divided by 20 - -3 - v\/m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3041 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/360 + h**5\/30 - h**3\/6 - h**2. Let j(g) be the first derivative of n(g). What is the second derivative of j(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**7*w)\/w**(2\/13))**(-35)\/((w*w\/(w\/w**(-1\/4)*w))**(-38))**(-35) assuming w is positive.\nAnswer: w**(13335\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4616 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 9) in base 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9578? (a) 2 (b) -2 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 3, -2\/185, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-10)*(-26)\/390*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476049*z**2 + 25 + 476051*z**2 + 1.\nAnswer: 2*z**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 15. Suppose i + 3*i - 48 = 2*w, a*i - 5*w = 16. Let j = -15 + i. Are j and -3\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmg when three letters picked without replacement from {m: 7, n: 5, i: 2, g: 3}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 11*f - 2. Let c be t(-10). Let u = 19 - c. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1777 rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 h when four letters picked without replacement from {f: 1, v: 3, w: 3, n: 1, h: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 3634 and 3774 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 14*v**2 + 5*v - 12. Calculate c(13).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 f when four letters picked without replacement from {i: 8, l: 3, c: 2, f: 4}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 28*h**2 - 28*h + 30. Let j be q(-29). Solve 2*c - 7 = j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 23*s + 16. Let v be k(-12). Suppose b - 1 = -3*d, -3*b = b - v. Let h = 78 - 53. Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {p: 5, y: 7, g: 5, r: 1, v: 1}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42057 is divided by 10440?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 424373114 a multiple of 662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-232)*3\/(((-420)\/56)\/(-5))?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/(-140))*-1. Round h to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27864 bigger than -28179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31843837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 + 0.1. Let d = a + 1.5. Let v = -0.4999 - d. What is v rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 30a3752?\nAnswer: 30a3751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2 - 3 + 28*r + 3 - 15*r = 0. Calculate r.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -5, -52.6, 5, 2, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t - 42. Let w be z(-14). Suppose u + w + 4 = 0. Put u, 6, 4 in decreasing order.\nAnswer: 6, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20481 - 368561\/18. Let f = 71 + 157. Calculate the common denominator of (10\/f)\/(3\/(-27)) and g.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 8:38 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24103 is divided by 1249.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1223941*i**4\/2 + 132185627*i**3 - 9517365000*i**2 + 228416749632*i + 373248.\nAnswer: -(i - 72)**3*(1223941*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 39. Suppose 36*h - 11894 = -842. What is the remainder when h is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922*a - 1040*a - 1742*a - 629*a - 2709*a.\nAnswer: -5198*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 29*q**2 - 16*q - 3. Let k be d(-29). Suppose -k = -b - 54. Is 33 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156505 divided by 3\nAnswer: -156505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -382 (b) -2\/11 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(sqrt(5) - (sqrt(5) - (sqrt(5) + 1)**2)).\nAnswer: -180 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*z - 912 = 0, 0*o - 4*z + 3664 = -4*o. Let l = -374 - o. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382047 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -13 + 0 - (-10 + 2)) + -28?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6363, -50241, -169307, -401157, -783387, -1353593?\nAnswer: -2149371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*t - 467*t - 600 = -559*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j + i = 183, 4*j + 5*i + 373 = 0. Let s = j - -133. Calculate the remainder when s is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 3645\nAnswer: -14\/3645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6744.5 - -5635.47. Let y = z + 1103. Round y to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 531 = -749. Suppose -3*i - 7*i + s = 0. Calculate the greatest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2421241 + -4233?\nAnswer: -2431024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 114*y + 30. Solve 0 = -y*w - 5*c + 1 - 14, 5*w = -3*c + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 3*m - 1088 = -298. Which is smaller: -72 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/3*-5*(-2)\/(100\/(-30))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 314, 621, 928, 1235?\n\"Answer: 307*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9*(-4 + 1). Let x be (i - (-1 + 1)) + 9. Suppose x*q - 2*q - 25 = 0. What is the greatest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*20\/240*(96\/(-27))\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332938 != 9332920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 30, -1\/12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72934*l**5\/3 - 437599*l**4\/6 + 145863*l**3\/2 - 145853*l**2\/6 - 5*l\/6.\nAnswer: l*(l - 1)**3*(145868*l + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*a)*((a + 5 - 5)*(-1 + 0 + 0) + (-105 + 28 + 42)*(-a + 2*a + 0*a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 2*c + 6, 3*y - 4*c + 8 = -4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 421762 and 418?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*a + 429*a - 66*a.\nAnswer: 314*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -70, -0.2, 2\/11?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2906097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aggggaag. Give prob of picking 2 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11079, -11077, -11075, -11073, -11071, -11069?\nAnswer: -11067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-34 - (45 - 55)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*d**2 - 545*d + 545*d)*(3*d - 3*d + 3*d).\nAnswer: 132*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 + 31*d**2 - 8*d + 1. What is the thousands digit of j(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 7*l - 2. Let b be k(7). Let d be (-12)\/(-1)*1\/3. Suppose -d*n = 3*v - 0*n + 8, 0 = -2*v - 5*n - 3. Does b = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.54889538 to 1 dp.\nAnswer: -62.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -h - 14, 5 = -89*h + 94*h. Solve -5*z + 4*v + 2 = 0, o*z - 3*v = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2)*81\/108)\/((-56)\/16)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 7) to base 12.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16169224 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3269?\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31d91a4 + 5?\nAnswer: 31d91a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*w - 14 = -4*s + 403*w, -2*s + 2*w + 6 = 0. Which is the fourth biggest value? (a) -1 (b) -0.05 (c) s (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781935 is divided by 1155.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63.5 and 0.5?\nAnswer: -31.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z**(-2\/35)*z)\/z))*z)**(-49)*z\/(z**(-1\/16)*z)*z**33 assuming z is positive.\nAnswer: z**(-1051\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 32*k - 20. Does 90 divide d(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33920 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-219)\/(-7) - (-2)\/(-7). Suppose -a - 54 = -5*g. Solve r - g = l + 3*l, 5*l + r + 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**4\/24 - 60*g**2 - 3. Let w(x) = 35*x. Calculate y(w(r)).\nAnswer: -35*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13806701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/2)*y**(-8)*(y*y**5)\/((y**7*y)\/y) assuming y is positive.\nAnswer: y**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.326 milliseconds to microseconds.\nAnswer: 1326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -7 - 1) + 318 + -376?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (21 - -3) + 2. Suppose 2*k + h - t = 4*h, 0 = -2*k + 5*h + 32. Calculate the greatest common divisor of 88 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -291, 4, 0, -8\/7?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6518741 decades?\nAnswer: 0.06518741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2158549.\nAnswer: 2158549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 61*u - 42. Let k be p(-17). What is the remainder when 2\/(-9) + k\/(-117) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8672, 17326, 25964, 34580, 43168, 51722, 60236, 68704?\nAnswer: 77120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Suppose 20 = -2*u + 4*u. Let t = u - 10. Let o(s) = t - s + 0 + 7*s. Calculate d(o(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1c?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 11 + 3. Let u be (1*10)\/(k\/77). Calculate the highest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r - 1070. Suppose 174*w - 3898 - 4094 = -48*w. What is the remainder when r is divided by w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 8*m - 60 = 0. Let c be (1 + 9\/(-5))\/(4\/m). Which is smaller: c or -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j - 59. Let v be z(-10). Let s = 1 + -4. Is v at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, d: 2, j: 1, c: 1, l: 2, x: 6}. What is prob of sequence qdc?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 7*m + 8. Let x be t(-6). Suppose -29 = x*o - 91. Let w = o - 5. Solve 1 - w = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 483.\nAnswer: -96.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 875582 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.198 and -60753 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k - 31. Let u be l(7). Suppose -2*c - 544 = -2*f - 2*f, u = c. Suppose 62 = r - f. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**7\/42 - n**3\/3 + 4*n. What is the second derivative of f(w) wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3304\/(-966) + (-20)\/(-6).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -4*(-9)\/12. Suppose -2*k - 4 = -d, d = -0*d - 4*k + r. Sort 1\/7, -5, d.\nAnswer: -5, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193293320?\nAnswer: 2, 5, 11, 439303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 10*a**2 - 10*a - 5. Give z(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000241628544 rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 172 - 1053)*(3 - 2 + 2)*(0*p**3 + 2*p**3 - 3*p**3).\nAnswer: 2694*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 7*k - 30*k = -105 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*c - 9 = 0, 5*m + 4*c + 11 = 56. Solve -2*n - m = -5*f, -3*f = -5*n - 6 - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3572456 times 0.44\nAnswer: -1571880.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*g - 182*g = 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 81, 3\/5, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -t. Suppose 2*w - t = 3. Suppose 2*l = -0*l - k + w, 2*l + 4*k = 0. Solve 3*x - l = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 + 1410504?\nAnswer: 1410412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-220)\/45)*(2 - 0)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 2*r - 12. Let s be 2*(1 - 0)*-6. Let z be 7 + s - (0 - 0). Let n be p(z). Solve -2 = -n*c + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + -35 + -19 - 38.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642*n + 107604 = -100*n - 356*n for n.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.87 and -3.\nAnswer: 2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*y + 14, -4*y + 3 = -3*f - 13. Suppose -4*v = t - 23, v + 5*t - 8*t = -4. Sort 3\/8, f, v.\nAnswer: f, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4462?\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omooom. Give prob of picking 1 m and 1 o.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4 + 133480*t**3 - 3204672*t**2 + 4096*t + 273465344 = 0. What is t?\nAnswer: -66764, -8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**6\/50 - 3*j**5\/25 + j**4\/4 - j**3\/5 + 5*j + 8. Let h(b) be the first derivative of m(b). Determine v so that h(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346729 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + h + 1105, -2*s + 5*h = 2*h - 2211. What are the prime factors of s?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3949643?\nAnswer: 3949643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0536451537 rounded to 4 dps?\nAnswer: -0.0536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1015\/3 + -333. Let o(a) be the first derivative of 19\/2*a**4 + q*a**3 + 4 + 0*a - 4*a**2 + 14\/5*a**5. Determine c, given that o(c) = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13163, -53958, -122389, -218456, -342159, -493498?\n\"Answer: -13818*b**2 + 659*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4883 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1.2. Let l = 8\/99 + -115\/198. What is the closest to l in 0.3, 4\/9, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 + 2*u + 10*u**2 + 2*u**4 - 9*u**2 + 2 + 4*u**3 to d*u**4 + g*u**2 + s*u + m + k*u**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1 - 0. Suppose -30 - 110 = -4*x. Let q = x + m. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301311 (base 4) in base 11?\nAnswer: 8607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3962257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175340168.\nAnswer: 2, 21917521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 0*q - 6*q)*(9*q + 3*q - 2*q) + (26 - 11 + 4)*(-2*q**2 + 1 - 1).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2, -13 in decreasing order.\nAnswer: 2, 1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j + 1. Let b be l(-1). Suppose 7*t = 3*t + b. Suppose o - i = 1, -i = -3*o - t*o + 25. Solve o + 2 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.62708 millennia to months.\nAnswer: 487524.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + 2*n**2)*(-10*n + 31*n + 19*n) + (3*n - 2*n + 8*n)*(-3*n**2 - n**2 + 5*n**2).\nAnswer: 89*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200201001212 + 2?\nAnswer: -10200201001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 40 - -49) + -40.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -248573086, -248573085, -248573084, -248573083, -248573082?\n\"Answer: n - 248573087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723847 is divided by 13912.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15513 + 15568. What is the lowest common multiple of o and 35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 619\/5 (b) 73 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Suppose -h - h = x. Let p = 4 + h. Solve -5*q = -4*m - 0*m + 5, 0 = p*q + 5*m + 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 1. Let q(b) = -6*b - 18. Calculate -5*f(d) + q(d).\nAnswer: -d - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 + 27 = -5*b, -4*b = -5*o + 12. Let v = -5 + 6. Let z(x) = x**2 - x. Let w(r) = 10*r**2 - 10*r. Determine b*z(j) + v*w(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 102, 97, 88, 75, 58, 37?\n\"Answer: -2*p**2 + p + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 109*q**2 + 9*q + 9. Let u(d) = 27*d**2 + 2*d + 2. Calculate -2*h(t) + 9*u(t).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 3*g**2 - 7*g - 9. Determine f(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -496441*l**4 + 352110*l**2 wrt l.\nAnswer: -11914584*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1295118 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1226 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) -3\/11 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 15 = 17. Suppose 5*x = o*x + 19. What is 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 v be 4\/(-2) + (-6)\/(-3). Suppose -r - f - 2*f - 5 = v, f + 4 = 0. Calculate the remainder when 19 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*y - 2*y - 2*f + 3, -9*f = -2*y - 31 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 6760*u**2 + 109365*u + 102600.\nAnswer: -5*(u - 1368)*(u + 1)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**4\/12 - 2*r. Let c(f) = -616748*f + 6*f**2 + 5*f**2 + 616748*f. Determine c(l(w)).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**5\/9 - 37*w**4\/9 + 65*w**3\/9 - 14*w**2\/9 = 0.\nAnswer: 0, 1\/4, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y + 15*y = 2993 - 2433 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 2*i**3 + 54 + 50 - 161 - 4*i**3 + 52.\nAnswer: -2*i**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 62.5. Let w = -9.5 - q. Let s = -0.3 + -1.7. Put w, 3, s in descending order.\nAnswer: 3, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = -5*s, s = -3*s - 2*y + 4. Suppose 0*r = -s*r. Solve 3*i + 17 = -r*p + p, -2*i + 2*p - 14 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -6 + 1 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7cd5 + -2ce9?\nAnswer: -a9be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + j = -175, -35*j + 40*j - 187 = -3*d. Calculate the remainder when 825 is divided by d.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + -0.25. Let i = 6.8 - 0.8. Let f = 6 - i. Which is the closest to -1? (a) -4 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*f - 670 = 98*f + 1142 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -8, -1\/3, -53, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184 and 9800990.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44266, 44200, 44134, 44068, 44002, 43936?\n\"Answer: -66*n + 44332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139 or 1\/35?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256628371?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 23 + 22 = 0. Let l = -5 + q. Suppose 0 = 3*g - 1 + l. Is g not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29459906 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -5 (c) 0.3 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -f + 2*f. Suppose 4*i + 2*o + f = -2, 5*o = i - 19. Let r be ((-1)\/i)\/((-4)\/(-52)). What is the highest common divisor of 91 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + 12*p - 29. Let t(r) = r - 10. Let h be t(0). Let y(n) = -16*n**2 - 36*n + 86. Let l(s) = h*w(s) - 3*y(s). Find g, given that l(g) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3727 divided by -821.\nAnswer: 3727\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 656 + 32 = 0. Let h = t - 76. Solve h = -5*p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1376414, -1376980, -1377546, -1378112, -1378678?\nAnswer: -1379244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 705 - 671. What is the derivative of 184*p + 170 + j - 184*p + 10 + 103*p**4 wrt p?\nAnswer: 412*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.36 + 1.33. Which is the nearest to 3? (a) q (b) -1\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1 in descending order.\nAnswer: -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-1 + (-52 - (0 - -3))). Suppose -2*f + q = -4. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 - 6*u**3 - 7*u**3 + 12*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-2 - 24\/(-10)). Let o(k) = 36*k**3 - 17*k**2 + 22*k - 5. Let x be o(m). What is x rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 4:28 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 290083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 108?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0 - 17\/5*f**5 - 47*f + 0*f**3 + 0*f**4 + 41*f**2. Differentiate u(q) with respect to q.\nAnswer: -204*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 7*a**2 - 5*a - 1. Let o be (4\/(-6))\/(10\/45). Let x(u) = -2*u. Let h be x(o). Determine i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-98)\/(-10) + (-21 - -28). Sort -1, x, -1\/4, 5 in descending order.\nAnswer: x, 5, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q - 30. Let y be c(-11). Suppose -y*v - 1985 = -8*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -6 + 1 + 1. Let t = 6 - a. Let i = -1 + 15. Solve i + 1 = t*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 4*r - 11*r + 2*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Which is the nearest to -2? (a) 5 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 451980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -12.5. Let i = 3 + -3. Let d be (2 + -2)*(-1)\/1. What is the nearest to d in i, k, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o. Suppose 2*n - j - 738 = -o*j, 5*n - 1860 = -5*j. What is the common denominator of n\/(-4)*(-1)\/(-15) and 51\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(320)\/(sqrt(50)\/sqrt(5)) - -4*sqrt(12)\/(sqrt(18)\/sqrt(3))*2)**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/116483 in 7, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/13181?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 0.05, 0.03, 937?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**3 + 15*w**2 + 13775*w - 41363. Determine d(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 418 + -372. Suppose 2*x - c - 172 = 0. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j, -5*x - 5*j = -325. Let o = x - 32. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 26 = 5*v - 25, -v = -2*m + 1. Solve 5*k + 8 = -v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1627*u - 14910. Let y be t(11). What is the greatest common divisor of y and 1133?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58629.\nAnswer: 3, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -7.92, -2, 8.\nAnswer: -7.92, -2, 0.03, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 810 (base 10) to base 11\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79 + 8 - 29)*(3*y + 9 - 9)*(-4 + 4 - 1)*(0*y + 285 - 37 + 2*y) to the form s*y + a*y**2 + b and give s.\nAnswer: -43152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:32 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 9. Calculate t(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 57*h**2 - 2848*h - 14. Determine o(-89).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9354 - -9368. Calculate the smallest common multiple of 464 and o.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2143 - 1171 = k, -x + 2*k = -832. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -3\/123325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359*i**3*n**3 + i**3*n**2 + 135*i**2*n**2 wrt n.\nAnswer: 2154*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1845096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1831 - -1830. Let o = -15.2 + 15. What is the nearest to o in y, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(-6\/7)*b**6*(b*b\/b**(2\/5))\/b*b\/(b*b\/(b**(-6)*b))*b*((b*b*b\/((b\/(b\/(b\/(b\/b**3))))\/b)*b*b)\/((b*b\/(b**(-1\/5)\/b))\/b))**(-32) assuming b is positive.\nAnswer: b**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 407 = -144. Let k = c - -587. Calculate the greatest common factor of k and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*b + 19 = 0, -5*r = 2*b - 0*b + 16. Calculate the smallest common multiple of 9*2 - (-4 - r) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 7*t + 13. Let w be h(8). Suppose -3*d + w*n = 2 + 1, -3*n - 7 = -4*d. Let x(b) = b**3 - 5*b**2 + 6*b - 1. Calculate x(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1694384 rounded to three dps?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1082*v**3 + 4*v**2 - 17*v - 14. What are the prime factors of o(3)?\nAnswer: 5, 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -59. What is the units digit of 2\/n + 4390\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -210. What is the common denominator of (-4)\/(-22) + (-779)\/j and (-4)\/14 - 509\/56?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, s: 2, z: 4, x: 8}. Give prob of picking 2 z and 2 s.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:47 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*c - 6, -5*w - 73 + 66 = c. Let s = -3 + 5. Let g(k) = 0*k**s + k + k**2 + 7*k**3 - 1 - 2*k. Calculate g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2353 + -2 + 532\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3686 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12\/((u\/(u**(4\/3)\/u)*u)\/u*u))**(-24) assuming u is positive.\nAnswer: u**(-248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(-20) + (-39)\/(-195)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0409 times -6\nAnswer: -0.2454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 times -6?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-330)*((-9)\/81 + (-323)\/9)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**4 + 3718245*a**2*f - 5975112*f wrt a.\nAnswer: 4*a**3 + 7436490*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 5:50 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a milligram in micrograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 57.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/18 and -41\/9864?\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Suppose -7*a = -10*a + 54. Suppose a - l = q. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -3 - 7) + -3 + (3 - 17).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 8*y - v - 20, -80 = -5*y + 5*v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - g)*((7*g - g - 3*g)*(-1 + 4 - 1) + 0*g + 5*g - 3*g)*(g**2 - g**2 - g**3).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -0.7, 1140.87, 5\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -233 + 3cb?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 17*u**2 + 5*u + 4. Let c be h(-1). Suppose -9*t + c = -t. Suppose 5*g - 2*d - 319998 = 0, -d = -t*g - 0*d + 127999. Round g to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y + 35*y - 12 = -4*s, 0 = 4*s - 3*y - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, c: 9, z: 2, u: 4}. Give prob of sequence uuzu.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/165)\/8*(-9 + 4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 8 = 6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48969\/494 - 1263\/13. Calculate the common denominator of -31\/1112 and i.\nAnswer: 21128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 855 divided by 171\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.135071 litres to millilitres.\nAnswer: 8135.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*2*(-3795)\/(-99). What is the second derivative of -2*p**4 - 4*p**4 - 26 + 6*p**4 - p + 19 + a*p**5 wrt p?\nAnswer: 4600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -49. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/(-4))\/(1\/2). Let x = -9 - a. Let i(s) be the second derivative of -s**2\/2 - 2*s. Let n(l) = -l - 8. Give x*i(v) - n(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/136 and -59\/3996?\nAnswer: 135864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5303297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 676 - 952. Let m be 18\/(-4)*120\/18. What is the units digit of l\/(-10)*(-75)\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19213 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -4)*(-9)\/6*-4. Suppose w*r = -16 + 76. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -4. Calculate the smallest common multiple of q\/16 - (-87)\/12 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26477 - -26359.69. Let l = 118 + k. What is l rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 15. Suppose -7 = -m + d*h + 61, 2*h + 8 = 0. Suppose 0*v - 5*v = -m. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747*z**2 - 3 + 4 + 300*z - 298*z - 1.\nAnswer: -747*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + sqrt(17) + 1 + 5 + sqrt(187)\/(sqrt(11)*4)).\nAnswer: -9*sqrt(17)\/4 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*d + 32*d - 96*d + 37*d - 8*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 15. Let u(f) = f - 31. Suppose -3*g - 6 = 0, 5*v = 2*g - 0*g - 31. Let p(c) = v*q(c) + 4*u(c). Let k be p(-9). Solve z + k = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 2:56 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34549793, 69099577, 103649359, 138199139, 172748917, 207298693, 241848467?\nAnswer: 276398239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j**2 - 13*j + 10*j - 3*j - 4 = 0. Calculate j.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 21, 8, 1, 2\/3, 0.3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1734 + 1733. Which is the closest to 0.2? (a) -4 (b) -0.5 (c) f (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -5, 17 in increasing order.\nAnswer: -5, -4, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = -13. Let t(x) = -6516 - 6483 + 76*x + 13012. Is t(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.57 + 4.73. Let r = -6 + y. Let f = -6 + 2. Which is the third smallest value? (a) r (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/140 and -77\/247760.\nAnswer: 1734320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**5 + 5*b**2 - 5*b**2 + (-3*b**3 + 2*b**3 - 4*b**3)*(2*b**2 - b**2 + b**2).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177 - -177. Suppose -2*s + 5*s + 2*f - 25 = 0, g = -3*f - 3. Solve 0 = s*n - 8*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10342283 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 231550.78?\nAnswer: -231550.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -319*j + 21662. Give k(68).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/(-560) + (-657)\/(-252) - 185\/(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15*u = 9*u - 27. What is the smallest value in -0.1, 0.1, -4\/3, -0.08, u?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to -1792.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 201238568 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102162341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/3 - 31\/((-9765)\/(-42))*(-525)\/(-18).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - b + x - 10, 5*x + 6 = b. Let n be ((-3)\/6)\/(6\/b). Factor -1\/3 + 0*y + n*y**2.\nAnswer: (y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 + (3 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*q - 63, -13 = -0*j - j + 3*q. Suppose 0 = 3*m + 27 - 108. Let g = m - j. Solve 4*c + 3 = f, -2*c - 28 = g*c + 4*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*a - 88*a - 46 = 0. Calculate the greatest common divisor of a and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3226 by 4531.\nAnswer: 3226\/4531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 263927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:24 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlq. What is prob of sequence ql?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*r - 1, r + 3*j - 5*j + 2 = 0. Let f = 0 + r. Suppose -9*g = -f*g - 3. Solve -g*x = -x + 2*d - 2, 3*d + 12 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7003314 divided by 22023\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 3.9 (b) 1 (c) 263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230 divided by -230.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (44 - (-27 - -21))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7614342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 less than or equal to -35862303\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 358 = -487. Suppose -3*y + m = y - 5*c, -2*c - 132 = -3*y. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/(-28) + 54189\/63 is divided by 861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 9:59 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -307*j**6\/60 + 61*j**5\/15 - 28*j**2. What is the third derivative of g(t) wrt t?\nAnswer: -3684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310397 divided by -4?\nAnswer: -310397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - v + 4. Let i be s(0). Find the second derivative of m + 3*m**2 + 3*m**i + 0*m - 3*m**2 wrt m.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168.2 + -165.2. Let t = -0.1 + -0.9. Which is the third biggest value? (a) t (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 + 554. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628203?\nAnswer: 3, 209401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -68460434 divided by -14\nAnswer: 4890031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 5323 + 3917. Let g be n\/36 + 4\/(-6). List the prime factors of g - ((-2 - 2) + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i + 63. Let b(j) = 7*j + 32. Determine 7*b(t) - 4*y(t).\nAnswer: -3*t - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-113*g**2 + 113*g**2 - 24*g**3)*(-6*g + 6*g - 3*g) to q*g + a*g**4 + k*g**3 + c + x*g**2 and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -364*q**2 - 2085. Calculate i(0).\nAnswer: -2085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j. Let y(b) = b + 1. Let n(t) = -16*t + 4. Let g(x) = -3*x - 7. Let h be g(-2). Let v(k) = h*n(k) + 4*y(k). What is r(v(q))?\nAnswer: -80*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, 650.\nAnswer: -4, -3, 5, 650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1. Let q(r) = -85*r**2 + 20. Give -20*d(n) - q(n).\nAnswer: 85*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3284 - -5150. Suppose -264*w + n = -261*w. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/4891 or 1?\nAnswer: 8\/4891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13836901 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -50. Let r(j) be the second derivative of 0*j**f - 2*j + 0 + 1\/6*j**4 + 0*j**2. Factor r(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {z: 3, j: 3, v: 5, p: 1, w: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -10, -0.6, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-288) + ((-2)\/(-6) - (-300)\/(-1488))?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*j + 2, i + j = -0*i - 2. Suppose 5*r = i*r - 48. Let p(n) = n**3 + 24*n**2 + 18*n - 3. Is p(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624889 is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/7, -0.07 in descending order.\nAnswer: 1, 2\/7, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*g**3*o**2 + b*g**3 - 39*b*g*o**3 - 3*g**3*o**3 - 2*g**2 + 4*g*o**3 wrt b?\nAnswer: 2*g**3*o**2 + g**3 - 39*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 4*x - 92 = 0, 4*x + 21 = 4*i - 14 - 13 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94949660 divided by -2782?\nAnswer: -34130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18266874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 738311878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (5 - (2 + (-1 - 0))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -5*v - 4*q, 808991*q - 246 = -60*v + 808994*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 4, -85 in increasing order.\nAnswer: -85, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 12*k**2 - 10. Let r be y(12). Let b = 47 + r. Suppose -5*d = -b - 38. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33436130 divided by -92365?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-90) - (-3)\/18*1. Let q = 1.5 + -1. What is the closest to k in -4, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26901 divided by 49\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 - 3*r - 3. Let d be z(-1). Let i be (14\/d)\/((-6)\/(-27)). Suppose 28*j = i*j - 266. Is j != -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 44083872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 147216?\nAnswer: -73608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/2? (a) 2\/7 (b) 9.6 (c) -0.2 (d) -397\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*c = 262 + 1796 + 6114 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 6. Suppose -w + d*w - 8 = 0. Let f(c) = -c**2 + 5*c + 2. Calculate the remainder when w is divided by f(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from aaabababbbbbbbbb?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v - 49*v + s + 17 = 0, 7*v + 5*s + 63 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 12:24 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -55d39 (base 16) to base 4\nAnswer: -1111310321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -17111\nAnswer: 17111.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-36))\/(16\/(-64))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61265019 to the nearest integer?\nAnswer: 7827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 28\/(-8)*6*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-21) - 1)*(-28)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in -33\/10567, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18772314 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12334, 12338, 12344, 12352, 12362?\n\"Answer: h**2 + h + 12332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 13 = -3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 274942442 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1601.2861?\nAnswer: 1598.2861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = -6*d. Let f(w) = w**3 + 4*w**2 + 2*w - 4. Let z be f(-3). What is the nearest to z in 0.1, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163806 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5389 + -181.7611. What is t rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*x + 1050 = 91*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1823 + -726. Suppose -4*k - 3*w - 2*w = -u, 4*w = 20. Let h = 459 - k. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 14*p**2 + 0 - 19\/24*p**4 + 0*p - 1\/4*p**5 + 0*p**3. What is the second derivative of q(z) wrt z?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(44\/(-12))*4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r**2 + 611768*r + 9*r**3 - 3 - 611766*r + 5 in the form n + i*r**3 + t*r**2 + d*r and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, z: 3, m: 4}. Give prob of picking 3 z.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -209.39.\nAnswer: 2093.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4417531 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1258852000 to the nearest one million.\nAnswer: -1259000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1355 and 198372.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/(-3042)*-3)\/((-10)\/(-12))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 - (-60 + 55 - -1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 15214216?\nAnswer: -15214211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)\/y**(2\/3))\/(y**(4\/5)\/y**(3\/7)))\/((y**1*y*y*y**5)\/(y**(-1\/2))**13) assuming y is positive.\nAnswer: y**(-4313\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 465330 = 5*s, 116346 = -141*k + 142*k + s. Round k to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) - (-1)\/3. Suppose i - a = -0. Let b = 0 + i. Calculate the greatest common divisor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 12942062?\nAnswer: -12942056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m**2 - 4*m + 6. Let o(u) = 9*u. Determine o(n(p)).\nAnswer: -135*p**2 - 36*p + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 32.935. Round m to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -29. Sort -13, 2, m in descending order.\nAnswer: 2, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19949990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167 - -167.55. Let w = a - 0.54611. Round w to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8801, 4, -2, 3.\nAnswer: -5, -2, 3, 4, 8801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5710*t. Let h be c(1). Let w = -102755\/18 + h. Find the common denominator of w and (-2)\/13 - (-2139)\/(-546).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220\/3 - 76*t**2 + 148*t + 4\/3*t**3 = 0.\nAnswer: 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.158277856064 and -0.1461?\nAnswer: 0.304377856064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g - 14*g + 8*g**2 + 6 - g**3 + 2*g. What is the remainder when o(5) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**2 - 18*u - 1. Let v(o) = 3*o**2 + 8*o. Let p(q) = 2*s(q) + 5*v(q). Suppose -4*l + 8 = 3*y, 0 = 3*y + l + 4 + 3. Calculate p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12727*b**3 + 5796*b**3 + 5045*b**3)*(6*b - 4*b - b) to m*b + i*b**3 + a*b**2 + s*b**4 + v and give s.\nAnswer: -1886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.56 - 8.56. Which is the third biggest value? (a) -2\/109 (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-6*2*sqrt(99) - sqrt(99)*-2*6)\/(sqrt(81)\/sqrt(36) + sqrt(576)*-1))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3 + 4260*u**2\/7 - 229742*u\/7 - 65988\/7 = 0.\nAnswer: -351, -2\/7, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1589, 3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c + 2*u + 2*u, 0 = 4*c - 3*u - 40. Let j(o) = -3*o - 9. Let s be j(-6). Calculate the remainder when c is divided by (3\/1)\/(s\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2034*z**2 + 1344475*z - 655. What is k(661)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20221010001 (base 3) in base 4?\nAnswer: -201103111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -8*r + 2*r. Is r\/(((-15)\/55)\/3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3184 + 3365. Calculate the greatest common factor of y and 57377.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -15 + 20 + -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130653 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-2) + (2 - 0). Suppose 9 + o = 5*u. Suppose 5*n - 15 = -u*d + 4, 1 = -d + 2*n. What is the greatest common divisor of 30 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -7\/4 (b) 42\/13 (c) 1162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-51\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*w - 6*w + 606 = -1606 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101200110202 (base 3) in base 10?\nAnswer: -210296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169264.7 minutes to seconds.\nAnswer: 10155882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001954 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2204 and 2?\nAnswer: 4408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -21356 > -1.985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25903622 is divided by 275?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 300406?\nAnswer: 5\/300406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 2 (b) 3 (c) -7 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408, -628, -848, -1068?\nAnswer: -1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 1914*z - 58377. Calculate s(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -5 (b) 1\/5 (c) -0.3 (d) 0.02 (e) -420\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2*p - 7*f**2 - f*p**2 - 15*f + p**2 - 3016*p - 135 wrt p.\nAnswer: 6*f**2 - 2*f*p + 2*p - 3016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101 + 11110110011?\nAnswer: 11101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*q**2 + 2*q**5 + q - 10*q**2 - 4*q wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + -51. Let m be a\/(4\/3) - 11*-2. Suppose 4*q - 7 - m = 0. Calculate the remainder when 10 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 5*m - 10*m - 36, -v - 5*m - 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3719\/6 (b) 33 (c) 5 (d) 0.3 (e) -3\/4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*238\/245)\/(321\/(-749)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/(-108) + 2534\/(-1086)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.124 in -0.01, 2, -5, -26757?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 68 - 19 + 18 - 8*m + m to the form j + x*m and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1708 + -267.1292. Let z = n + 267. Let r = 1.8 - 2. Put -2, -4, r, z in descending order.\nAnswer: r, z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*a**3 + 43*a**3 - 34*a**3 + (5*a - 5*a - 2*a)*(-a - 2*a**2 + a) + a**3 - 3*a**3 + 0*a**3 + (0*a**2 + 0*a**2 - 2*a**2)*(2*a + 2*a - 3*a).\nAnswer: 77*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63107, 126241, 189375, 252509, 315643?\n\"Answer: 63134*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 2*q + 115. Give w(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(1*(5\/15)\/1)\/(973\/(-1251)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**3 - g**2 + 3*g + 5. Let y(m) = 22*m**3 + 2*m**2 - 9*m - 14. Let l(b) = 7*x(b) + 2*y(b). Is l(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 630.4 - 615. What is a rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(1573)*1)**2 + -5.\nAnswer: 39320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -362.6 - -59.6. Let d = n + 303.00084. What is d rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*((w**(-2\/5)*w)\/w*w)\/w)\/w*w\/(w\/w**(-8)))**(-5)\/(((w\/w**(1\/2))\/((w\/w**2)\/w))\/((w*w**(1\/12)\/w)\/(w*(w\/w**(-1\/6))\/w*w))) assuming w is positive.\nAnswer: w**(449\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {u: 10, q: 2, z: 3, i: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose l*p + 8 = 5*p. Let n(o) = 17*o - 11. Let x(c) = 8*c - 5. Let f(j) = p*n(j) - 9*x(j). What is the derivative of f(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 - 41*v**5 + 14*v**5 + 1144*v**2 - 3 - 1141*v**2 - 5*v**4 wrt v.\nAnswer: -1620*v**2 - 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*l - 92*l - 68*l + 88*l in the form k*l + n and give k.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.46542 nanograms in grams?\nAnswer: 0.00000009546542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**2\/2 - 2. Suppose -5*f + 2 + 23 = 0. Calculate z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/2 + 1896*z**2 - 2396544*z + 1009743872 = 0. Calculate z.\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -17*v**2 + 9. Let q(c) = 4*c**2 - 2. Let p = -16 + 14. Determine p*r(y) - 9*q(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 497746?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 30*b**2 + 5*b + 37. What is the units digit of z(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/2, 5, -2, 0.1, 2, 39.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 10) + 13 + -30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/8 - 5377*g**3\/8 - 961665*g**2\/8 - 58207603*g\/8 - 589469657\/4 = 0. Calculate g.\nAnswer: -5194, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118009806.\nAnswer: 2, 23, 131, 185531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -52) + 20*(-6)\/(-30). Let p be 25\/21 + t\/588. Suppose -3\/7*g**3 - 9\/7*g + p*g**2 + 3\/7 = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let t be v(-2). Let k = 58 - 154. Let m = -95 - k. Which is the third biggest value? (a) 0.3 (b) t (c) -3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*g - 2 = 2*n, 4*n + 2*g - 8 = 0. Let s(d) = -d**2 + 3*d - 5. Let m be s(n). What is the units digit of 1*(2 - 213\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 1. Let s be x(1). Let n(t) = -t + 2. Let h(u) = -u + 2. Let q(r) = s*n(r) + 4*h(r). Let c(p) = -p - 7. Let y be c(-3). What is q(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -5, 7, 21, -1, -7108 in decreasing order.\nAnswer: 21, 7, -1, -3, -5, -9, -7108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -60*-2*2\/8. Suppose 0 = -5*q + b + 9, q = -q - 3*b + 7. Let p be q*-10*(-2)\/4. What is the greatest common divisor of p and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2622 + -1541. Calculate the remainder when d is divided by 536.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-70)\/(-21) + 1\/(-3). Let n = c - 0. Suppose 20 = n*j + j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (8\/(-20))\/(208\/(-3055))?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197743 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d - 1. Let b(x) = 5*x - 1. Let l(g) = -5*b(g) + 4*m(g). Differentiate l(y) wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*g**2 - g + 25367 wrt g?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/3271 + -29495\/91588. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - (30 + (3 - (-4 - -9))))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.7 - 97.3. Let d = -119.7 - c. Round d to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - 5*c - c + (0 - 3 + 1)*(-3 + 3 - 2*c) + 3*c + 7*c - 4*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*b + 10*b + 9*b)*(3 - 3 + 2)*(3*b - 3*b + 2*b).\nAnswer: 376*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + 3 - (-216 - -164).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -197167941*l*r**2 + 21*l + 4628696 wrt r?\nAnswer: -394335882*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -9*d + 4*d - 944, 4*o - 549 = 3*d. Let y = d - -319. What is the smallest common multiple of 8 and y?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -1\/30*m**5 + 0*m**3 + 2*m**2 - 1\/60*m**6 + 1\/105*m**7 + 0 + 1\/12*m**4 + 0*m. Factor v(l).\nAnswer: 2*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1453 - -1501?\nAnswer: 3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -22*p - 59. Let k(t) = -3*t + 3*t + 29 + 0*t + 10*t. Let f(a) = 13*k(a) + 6*y(a). Give f(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: What is the cube root of 749827 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 227, -15, -247, -463, -657, -823, -955, -1047?\n\"Answer: o**3 - o**2 - 246*o + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.458 - -0.038. Let s = b - -0.420002. What is s rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-94))\/((-25)\/4*(-4)\/(-250)*-5)\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:12 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/8 + 1211*x**4\/8 - 3663*x**3\/4 - 14537*x**2\/4 + 162973*x\/8 - 127785\/8 = 0. Calculate x.\nAnswer: -1217, -5, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2158\/(-30420) - 47\/(-3055).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**2 - 19*g**2 + 18*g**2 - 6*g**2.\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 101*x**4\/12 + 13*x**3\/6 + 2*x**2 - 64*x - 2. List the prime factors of d(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 22855*h**2 - 91360*h + 91340.\nAnswer: -5*(h - 4567)*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 - 8511175*d**3 - 59577980*d**2 = 0.\nAnswer: -1702228, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 203, 336, 553, 872, 1311?\nAnswer: 1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 57, 52, 45, 36?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {h: 2, c: 3, i: 4, x: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1754134 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070.74 less than -14?\nAnswer: -1084.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y = 2607 + 71309. What are the prime factors of y?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 4*i + 5*i**2 + 0*i. Suppose -4*k - x + 0*x = -15, -12 = -2*k - 2*x. Suppose k + 5 = 8*p. Determine l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 83 = -193. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 544, 532, 520, 508?\n\"Answer: -12*o + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4528, 5, -1, 1, 585 in increasing order.\nAnswer: -4528, -1, 1, 5, 585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(75) + sqrt(75) - ((sqrt(75) + sqrt(75)*-1 - sqrt(75)) + -2) - 5*(sqrt(75)*-2)**2*-3)*-6.\nAnswer: -26994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -193*w - 102. Calculate the remainder when k(-5) is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1072399777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1318 - 98*r + 2638 + 440*r - 1320 + 5*r**3 - r**2 to the form p*r**3 + q + m*r**2 + a*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let z(m) = 2*m**3 + m**2 - 2. Let a be z(i). What is the third biggest value in 3, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p - 25*p + 52*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c*c*((c*c**(-2\/7))\/c)\/c)*c*c)\/c*c*c**(1\/12)*c*c**(-5)\/(c*c**(-6)*c) assuming c is positive.\nAnswer: c**(199\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(372\/62)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025416 rounded to 4 dps?\nAnswer: 0.0254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 200 + 115 = 77*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2996\/(-35))\/((-4)\/20). Find the second derivative of -864 - 6*l + u + 431 + 178*l**3 wrt l.\nAnswer: 1068*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-12)\/1008*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10866979\/43701 + 1\/14567. Let s = 249 - b. Factor s*v**3 + 5\/3 + 7\/3*v**2 + 11\/3*v.\nAnswer: (v + 1)**2*(v + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12927, 27106, 41285?\n\"Answer: 14179*y - 1252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 113 - 48 + 5*f**2 + 158 - 273*f**3 as r*f**2 + k*f**3 + g + w*f and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.8 in -1\/54, -0.1, 9, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-24)\/18*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) - (sqrt(66) - (sqrt(66) - (sqrt(66) + -5*sqrt(66))))))\/(3*(sqrt(6) - sqrt(24)\/sqrt(4)) + sqrt(6)).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(17) + sqrt(17))**2*1 - (-4 + 3 + sqrt(17) + sqrt(17)).\nAnswer: -2*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4780*l + 4753*l + 4785*l + 4775*l + 2*l**2 - 19191*l.\nAnswer: 2*l**2 - 98*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*w + 1094*w - 14 = 0, 3*f + 9*w - 4*w = 26 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/6)\/5 + (-14)\/(-4). Solve d*p - 3*t + 15 = 0, 0*p - 16 = 5*p - 2*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15816168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*v - 60 = -178, -4*q + v = 92. Let o = q - 21. Let d = -13 - o. 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(y) = 111*y + 16. Let n(p) = 250*p + 34. Let b(j) = 9*i(j) - 4*n(j). Give b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/10*(-136)\/2. What is the highest common divisor of 102 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -41 in descending order.\nAnswer: 1, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -145*b**2 + 28*b**2 + b**4 + 50*b + 63*b**3 + 7*b - 4*b**4.\nAnswer: -3*b*(b - 19)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 3*o = 8*i + 10, 4*o = 3*i - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**3 - 3*l**2 - 4*l + 167. Let b(f) = 2*f**3 - f + 2. What is 4*b(w) - s(w)?\nAnswer: -w**3 + 3*w**2 - 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/(l*l**8)*l)\/l))\/l**10 assuming l is positive.\nAnswer: l**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 45*y - 109. Let o be z(-12). Let w = -19 - -27. What are the prime factors of (w\/6)\/(o\/(195\/(-10)))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 2*m + 14, -3*m + 17 = -5*m + 5*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 19 = 8. Suppose 148 + 119 = 3*k - 3*z, -a*z - 15 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2116901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4\/3 - 4382*v**3\/3 - 413222*v**2\/3 - 2514892*v\/3 - 384896 = 0. What is v?\nAnswer: -992, -97, -6, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -1 + 4 + -2082. Let d be -1 - (-2 - i\/15). Let j = d - -137. Which is the closest to 2\/5? (a) 5 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 38 - (-61 - 13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**7\/42 - 11*d**6\/2 + 789*d**5\/2 - 10395*d**4\/2 + 59535*d**3\/2 - 2*d**2 + 3*d - 17. Solve b(o) = 0.\nAnswer: 3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -122 + 112 + (2 - 3) + (-7 - 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, p: 2}. What is prob of picking 2 p and 2 c?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(500) + sqrt(500) + 0 + -1 + 4)**2.\nAnswer: 360*sqrt(5) + 2081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + 3.08. Let x = -3.3 + s. Let i = 8 + -13. Which is the third smallest value? (a) 2 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/2823 and -65\/201.\nAnswer: 189141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4240575 divided by 4240575?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -459708*r**4 - 78023*r**2 - 2*r?\nAnswer: -11032992*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**10*q)\/q)\/(q**5*q) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-84)*3\/(-3)*3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m**2 - 39*m**2 + 1941*m - 4023*m + 2082*m + 268*m**2.\nAnswer: 207*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1952 - 1948. Solve -2*q + 26 = -5*o + 9*o, -2*q = -x*o + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 5. Let z(n) = -3*n**3 - 2*n**2 + 5*n - 3. Let w be z(i). Suppose -w*y + 142*y = 25. Sort -3, y, 0.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8131 equal to -8129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 29 + 6 + -13 + (-1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4 - 3*w**2 + 2*w**2 - 7 + 9. Calculate the remainder when 18 is divided by f(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/9 of a hour in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1265, 2367, 3483, 4619, 5781, 6975, 8207, 9483?\n\"Answer: w**3 + w**2 + 1092*w + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*l + 2*f - 22 = -801*l, 4*l + 3*f - 33 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/556 and -59\/278?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 8*f**2 + 4*f - 4. Let x be m(7). Suppose -5*n + 6 = -199. Let b = x + n. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 2:55 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -23112312030?\nAnswer: 23112312020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-16))\/((-3)\/(-18)*27 + -6)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = q - 5*x, 4*x + x = 2*q - 96. Calculate the greatest common divisor of 190 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0848884071 rounded to 6 dps?\nAnswer: 0.084888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 14. Suppose -4*i = -i + 2*b + 37, -2*i + 2*b = 28. What is the tens digit of x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:32 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.01 + -1. Let l = -512 - -508. What is the second smallest value in -0.4, -1, l, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -14. Solve t = k - 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -9. Let r be (-15)\/j - 6\/(-4). Solve -r*f + 0 + 12 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -451, -765, -1385, -2413, -3951, -6101, -8965?\nAnswer: -12645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 0*k + 8 - 6 + (111*k - 7*k - k)*(1 - 1 + 1) - k + 6 - 13 + 8 as u + b*k and give b.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4186419938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 48. Let m = f - -21. Let s = 0.03 - 0.43. Put s, m, -1 in increasing order.\nAnswer: -1, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*b - 7 - 707, g = 3*b + 150. What is the least common multiple of g and 112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 0)\/(-2)*3. Suppose -2*g - 2*g - 3 = -x*t, 4*g - 2*t = -2. What is the second derivative of g*m**2 + 0*m**2 - 149*m - 4*m**3 + 154*m wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 6*b - b - 2*b + 0*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {z: 5, j: 5, g: 8}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 5 + 2)*(-4 - 4 + 0)*(3*p + 0*p - p) to g*p + q and give g.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -714 + 672. Which is the biggest value? (a) q (b) 1\/12 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 587230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2220323 - -2?\nAnswer: 2220331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*t - 8, 4*t + 4 = -u - 1. Is 13 a factor of (-2)\/t + 24 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/88)\/(2*2\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4 (b) 6403 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:05 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 167.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -798, -857, -946, -1059, -1190?\n\"Answer: w**3 - 21*w**2 - 3*w - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggng when four letters picked without replacement from nmanggnnnnnnngnm?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*f = -16, -2*f + 4*f = 2*g. Let j = -0.99 - -1. Let z = -3.01 + j. Which is the closest to 0? (a) 0.4 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p + 13*p - 2160. Calculate the highest common factor of 144 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x**3 + 13*x**2 + 998*x + 3966. What is u(-4)?\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 453435.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -10*d + 12. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let c(j) = -92*j + 10. Suppose 35 - 53 = 3*h. Let w(t) = 31*t - 3. Let z(s) = h*c(s) - 20*w(s). What is z(g(m))?\nAnswer: 136*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*t**2*v - 15502*t**2 - 3*t*v - 2*t + 3683*v - 26 wrt t?\nAnswer: -112*v - 31004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/135)\/(2\/18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 105 + 28af?\nAnswer: 29b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 8. Let y be t(-10). Is y at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 34, -46\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = 4*j. Is -1 + j + 907 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/20*(-4)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + (-1)\/(-2). Let r be (72 - 0) + 48\/16. Let o = -69 + r. Solve 2*z + o + b = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 4\/5 (c) -0.3 (d) -169 (e) -4 (f) -0.271 (g) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4 and -21\/825512.\nAnswer: 825512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 + 0.86. Let b = y - 0.26. Round b to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u**(1\/3))\/(u\/(u*u**(-7)\/u)*u**(1\/2)*u) assuming u is positive.\nAnswer: u**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllmmsxxsx. What is prob of sequence xx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bspiaasbisis. Give prob of sequence api.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*(p\/p**(9\/8)*p)\/p)\/(p**9\/(p*p**14)))**10 assuming p is positive.\nAnswer: p**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3 + 27. What is the lowest common multiple of (-1)\/(-2) + (-75)\/(-10) and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*v - 52, -2*u = v - 7*u - 34. Suppose -9 = -2*a + v. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 18*v + 1 + v**2 - 11*v + 3. Let b(r) = -2*r - 1. Calculate -7*b(l) - 2*d(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x = 34*v - 32*v - 88, 4*v + 3 - 7 = 6*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/7*(-70)\/(-20). Suppose -175 = -i*o + o. Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13735955.\nAnswer: 5, 19, 144589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 20 = 0, 17*i - m = 15*i + 5. Suppose i*k - f + 38200 = 0, f = 2*k + 4466 + 10814. Round k to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(962\/(-185))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**5\/20 - 2*i**4\/3 - 13*i**3\/6 + i**2\/2 - i + 101. Calculate q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17432995 divided by -5\nAnswer: 3486599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**5\/20 + i**4\/12 - i**3\/6 + 2*i**2 + 3*i. Suppose t = -t. What are the prime factors of n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8574 = 10*l - 27764. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + f + 234 = 0. Suppose 2*m = 5*l - f, 3*l + 2*m = 3*m + 23. What is the smallest value in -4, 0.3, -0.5, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 4, 1, -2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7170460 and 6518600?\nAnswer: 71704600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a hour?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 + z**2 + (-4 + 5 - 2)*(4*z**2 - z**2 + 0*z**2))*(7 + 4*z - 7)*(-3 - 4 - 8 + (-3 + 1 + 0)*(-1 + 5 - 5) + 0 + 1 + 1).\nAnswer: 88*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 60*(819\/(-1404)*2*3)\/((-21)\/(-3))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*m + 33*m - 27*m - 1170 = 0 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*v = 109, -2*a = -3*a + 5*v - 49. Let p = -35 - a. Suppose -p*n + 7*n - 18 = 0. Solve f - n*f = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 113. Let h(l) be the third derivative of -l**5\/60 - l**4\/6 + l**3 + 24*l**2. What is h(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2. Let d(r) = -46514*r**2. Determine h(d(a)).\nAnswer: 8654208784*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1795 + -3523\/2. Let z = -33 + d. Let o(x) = x**2 + 24*x. Let p be o(-24). Which is the nearest to 1\/5? (a) z (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 12240910\nAnswer: -48963640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 594990056?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1512 and 12496302?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1398, -1397, -1396, -1395?\n\"Answer: h - 1399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*n - 250*n - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5275 (base 13) to base 3.\nAnswer: 120122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/21436 and -7\/9320?\nAnswer: 214360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 50*g - 2121. What is the remainder when u(62) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, p: 9}. What is prob of sequence pvpv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:32 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 126 = -5*p. Let r = 12 + p. What is the highest common factor of r and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3658*w + 32*w**2 + 50*w + 2312*w**2 + 379*w**2 - 86*w wrt w.\nAnswer: 5446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + l = 2*l - 111, -5*t - 145 = 5*l. Put t, -4, 5 in decreasing order.\nAnswer: 5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**3 - 56*z**2 - 204*z - 216 = 0.\nAnswer: -9, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -312, -468, -604, -714?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212 - 2790. Let j = g - -2578.0001349. Round j to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48570*g**2 - 11700*g**2 + 14010*g**2.\nAnswer: -46260*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2026*d*o**2*x - 4*d*o**2 + d*o*x + 9*o**2*x - 5*o**2 + 69580*x - 6 wrt o.\nAnswer: -4052*d*x - 8*d + 18*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 4:16 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*x + 5*y, 10*x + 33*y = 36*y + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 2 + 20)*(-2*q - 2 + 2)*(-76 + 76 - 22*q**2) to the form x*q + t + m*q**2 + p*q**3 and give p.\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-168))\/(2\/16). What is the nearest to -3 in 5, 0.06, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1200324 and 3864.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 121 - 220 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 1 + 11. Suppose -2*q - w*p = -2*p - 44521, -q = 3*p - 22268. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6894.238975 to the nearest 100.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + (sqrt(28)\/sqrt(4))**2*-5 + sqrt(56)\/(sqrt(6)\/sqrt(3))).\nAnswer: -2*sqrt(7) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 + -232.2. Which is smaller: l or 235?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269\/546 - 5\/78. Let u = -1019 + 2039\/2. Which is the third biggest value? (a) -0.5 (b) 0.08 (c) u (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - 106*x**2 + 336*x - 20. Give j(-56).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 13*h**6\/30 - 17*h**2\/2 + 5*h. What is the derivative of r(k) wrt k?\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqlqqqqqlqlfflqqllqf. What is prob of sequence qfl?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/20685 and -46\/291795.\nAnswer: 57483615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -665, -1074, -1669, -2462, -3465, -4690, -6149?\nAnswer: -7854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*k - 1319675 - 2000025 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132122 (base 4) to base 10.\nAnswer: -1946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 7*s + 4. What is the lowest common multiple of 4 and o(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 6*o**2 - 24*o - 4. Determine m(-7).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(102)\/(sqrt(2) - (3*sqrt(10))\/sqrt(5)))\/((-3*(sqrt(30) - (sqrt(30) - sqrt(120)\/sqrt(4))))\/((-2*sqrt(10) - sqrt(10))*-2)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5.2*2300485\nAnswer: 11962522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7963\/6 + 1414. Let i = 175\/2 - l. Let p = 6 + -4. Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose m + 2*g = 6*m, k*m = -3*g + 19. Suppose m*i - 18 = i. Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 2. Let j be b(0). Suppose 0 = -j*n + 6*n - 4. Suppose 3*a + 5 = -n. What is the nearest to -2\/5 in a, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -0.4, 3, 11, -0.06 in descending order.\nAnswer: 11, 3, -0.06, -0.4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27937, 28385, 28833, 29281, 29729?\n\"Answer: 448*d + 27489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.366299 and -0.5?\nAnswer: 0.866299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880 - 4525 = -228*v + 957*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 12*y**2 - 3*y**2)*(1 - 2*y**2 - 121*y - 5*y**3 + 121*y).\nAnswer: -55*y**5 - 22*y**4 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.04, 0.4, -2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3850, -15331, -34488, -61339, -95902?\nAnswer: -138195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 214*v**4 - 1805*v**6 - 2 + 1803*v**6 - 23*v**2 + 1 wrt v.\nAnswer: -240*v**3 + 5136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 0.3 (c) 6\/13 (d) 5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76 - 208*r**4 - 2267*r + 2266*r + 8 - 2*r**3 wrt r?\nAnswer: -2496*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 1375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -310 and 0.0078?\nAnswer: -2.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -24.2. Put s, -0.4, -1\/7 in ascending order.\nAnswer: -0.4, s, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7274389 is divided by 53.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3 + 2. Let b be 18\/8 - t\/(-4). Let y(w) = 5*w + 0*w + 1 - b*w + 6. Give y(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.5, 5\/14, -4 in increasing order.\nAnswer: -8.5, -4, 5\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(8 + -18)*60\/(-6)*(-42)\/(-35)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a. Let c be (-2)\/10 - (-624)\/20. Let j(v) = -8*v**2 + c - 31. What is j(d(t))?\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 497489.7925 rounded to the nearest one hundred?\nAnswer: 497500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001609 rounded to 6 dps?\nAnswer: -0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 10*k + 57. Let p be d(-8). Which is smaller: p or -148?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14992784 to the nearest 100000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a**2 - 12. Determine s(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -94 - (-8)\/12*3. Let d = a - -139. What are the prime factors of d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - w = 31, -43 = -4*u + 3*u - 2*w. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 938310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 - 121. Let q be 12 + -7 + c + 0. Solve 3*n = 2*x - q, 8 = x - n + 5*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/3, 2.2, 0.007 in decreasing order.\nAnswer: 4, 2.2, 1\/3, 0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 61126125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1173?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - h - 2*h)*(0*h**3 + h**3 + h**3) - 3*h**3 - 3*h**3 + 21 + h**4 - 19.\nAnswer: 5*h**4 - 6*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22865, 51812, 80759, 109706, 138653?\n\"Answer: 28947*m - 6082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 8*n - 23. Let p be m(-11). What is the smallest common multiple of 22 and (-6 - -1)*-2*16\/p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1295*w + 667*w + 297*w + 217*w)*(-w - 2*w**2 + w).\nAnswer: -4952*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. What is the lowest common multiple of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3839 = -68*h - 2751 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 5) to base 3.\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -26*s**2 + 1. Let n(i) = -49*i**2. What is p(n(c))?\nAnswer: -62426*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 3?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 109*r - 3157. Let s be q(29). Solve s*d - 6 = 3*x + 5, -2*x - 2*d = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 24*d**2 - 2*d - 1. Let s be f(-1). Suppose 0*l = -5*l + s. Factor 4*y**l - y**5 - 4*y**3 + 2*y - y**5.\nAnswer: 2*y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**5 + 10*q**3 - 6*q**2 + 12. Let a(z) = 14*z**5 + 29*z**3 - 17*z**2 + 34. Let f(r) = -6*a(r) + 17*l(r). Factor f(h).\nAnswer: h**3*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/12132 and -119\/108.\nAnswer: 36396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 1137?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.5 + 26.5. Let l = 1 + -3. Which is the third smallest value? (a) u (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/7 + 64*d**2 - 2742*d\/7 + 4140\/7 = 0.\nAnswer: -230, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6732)\/(-45))\/(6\/15). What is the highest common divisor of 102 and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*p = -144*p - 406. Calculate the highest common divisor of 32 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(500))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7619718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Find the first derivative of 7*b**3 - 5 - 2 - 3*b**p - 8*b**3 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 22*f + 25. Calculate s(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 7567218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 2\/7, -1281, -1\/5, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3239.4 - -3239. Which is the nearest to 4? (a) -0.1 (b) l (c) -11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbbegcp. What is prob of sequence pg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 29*j - 761. Let t be n(25). Which is bigger: t or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3467.6769 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3330*r - 3350*r + 6672*r + 13*r**2 - 13 to the form z + p*r + w*r**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53830336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*3\/6*2. Let v(m) = 0*m + x + m - 2*m + 11. Does 6 divide v(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 5*a**4\/6 - 7*a**3\/6 + 5*a**2\/2 + 14*a. Let k(x) = 5*x**2 - 4*x + 3. Determine -3*i(p) + 5*k(p).\nAnswer: -5*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (847\/(-77))\/(3\/60*4*(-7)\/(-7)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/(-3))\/10)\/((-20)\/(-90))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324384?\nAnswer: 2, 3, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7133, -14238, -21319, -28376, -35409, -42418?\nAnswer: -49403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 3*w)*((-3 - 2 + 3)*(-3*w + 3*w + w) + 0 + 0 - w - 6*w + 5*w - 7*w).\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 2*c**2 + 7*c + 6. Let p be q(-4). Suppose -4 = -3*z + 14. Let a(m) = 7*m + 8. Let v be a(z). Calculate the highest common divisor of v and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7102 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a factor of 40884800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(2 + 1) + -1 + 7. Suppose -2*v + 20 = 5*d, -d - i*v - 14 = -0*d. Let b(o) = -3 - o - 2 + 4*o - o. Calculate b(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*h - 9 = 0, -6*n + 8*n - 3*h = 4. Let o be 1 + -1 + n + (7 - 4). Solve 0 = -2*v + o - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*l + 36, -q + 6 = 2*l + 4*q. What are the prime factors of (2 + l)\/(2\/(-182))?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.41 and 17351.281.\nAnswer: 17358.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**5 - 311952*z**4 + 312016*z**3 + 4679432*z**2 + 7175028*z + 3119560 = 0.\nAnswer: -77989, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -875*q**2*x**3 - 2*q**2*x**2 + 13*q**2 - q - 49 wrt x?\nAnswer: -2625*q**2*x**2 - 4*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2008 + 65*k**2 - k**2 - 1968 - 4*k - k. Is g(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10349 at least as big as -1945523\/188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x = 0. Suppose -3*b + 2 = -5*a, 5*b - 22 = 4*a - 5*a. Solve 0 = -a*n - x*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/193095019 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 - 0.54. Let s = a + -0.076. Let t = 0.01639 + s. What is t rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -9*p + 12*p + 14*k, 2*p = 2*k + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 14 = -f, -5*z - 14 - 19 = 2*f. Which is the third biggest value? (a) -0.2 (b) -68 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8840179 and 1874648.6.\nAnswer: 10714827.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (5 - (8 + -5)). Put 27, 4, 2, g in ascending order.\nAnswer: g, 2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44286162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 51 - 178 - -145 - (-1 + -59)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.7 - 72996846.\nAnswer: -72996849.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (2 - 5) - 2. Let g be q\/2*(-10)\/1. Suppose 4*i - 425867 = -g*k + 174158, 750020 = 5*i + 4*k. Round i to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15349 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1450323 or 0.2?\nAnswer: -0.1450323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 110 = -44. Solve 7*p = g - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 50*c = 55*c, -2*y - c + 86 - 86 = -5*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 5. Let z be x(-2). Suppose 0 = -4*b + b - 12. Let h be z*10*b\/8. Solve -4*d + n = -3*n, 0 = h*d + 2*n + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 107, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*k - 99*k + 102469131 - 102469131.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + 0 + (-114)\/(-2) is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -221*a - 1760. Let h be d(-8). Solve 11*f + h = 13*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2628 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 591\/(-6) - ((-3)\/6 + 1). Let o = -494\/5 - t. Factor 1\/5 + 1\/5*h**4 - o*h**5 + 2\/5*h**3 - 1\/5*h - 2\/5*h**2.\nAnswer: -(h - 1)**3*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p + 2824 = 0. Let k be (0 - -1)\/((-28175)\/(-3521) - 8). Let a = p - k. What are the prime factors of a?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 + 1023277*z**2\/2 - 261773443043*z\/2 - 261774466321\/2.\nAnswer: -(z - 511639)**2*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.15 - -0.08. Let s = i - -0.070018. Round s to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 75\/577049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*b**2 - 328*b**2 - 18*b**3 + 161*b**2.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r - 3*n + 10, -3*r + 5*n - 14 = 0. Suppose 2*i + r = q - 13, 5 = 4*q + 3*i. Solve q*g - 2*g - 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 - 63. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 4, -8, -1178 in decreasing order.\nAnswer: 27, 4, -8, -1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.27 millennia in centuries?\nAnswer: 4062.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 14*o + 2. Suppose -3*h + 70 = 2*h. Let v be b(h). Suppose -3*q - v*q + 95 = 0. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -214*f**3 + 59*f**2 + 4*f - 8. Let p(z) = z**3 + z**2 - z + 2. Let u(j) = -3*k(j) - 12*p(j). What is the third derivative of u(o) wrt o?\nAnswer: 3780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 294?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o + 16. Let i(l) = 13*l. Calculate i(j(t)).\nAnswer: -52*t + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -1\/3, 27, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 129 - -1) + -123\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.83 (b) -0.058 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = -5*y. Let c(o) = -5*o + 3. Let h be c(y). Let q = -8 - h. Solve -t + 9 = -q*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, and 2 x when four letters picked without replacement from xxzxxxaaaxxnaaxaa?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 1, z: 2, d: 14}. Give prob of sequence yy.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Suppose 0 = -2*c + x*c. Let f = 14 + c. Calculate the remainder when 41 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 36*c - 31. Let k be n(23). Let r = 743 - k. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4102 + -4134 + (2 - -29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**4\/4 + 4*k**3 - 5*k**2\/2 + 5*k + 3. Let g be v(5). Suppose 120 + g = 5*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 10*n - 42 = 8*n, 21 = b - 3*n. Suppose -9*a = -152 - 55. Let c = 23 - a. Solve -o - 2*o - b = c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14069, -27461, -40853, -54245, -67637?\nAnswer: -81029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-40))\/((-497)\/(-1988))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 = -u + 6*k, 0 = k - 1. Suppose 498 = u*g - 2*r - 80, 5*g - 3*r - 1441 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00257574 to 5 dps.\nAnswer: 0.00258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -10, 16, 20 in ascending order.\nAnswer: -11, -10, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 13904 = 11*v. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60))\/(sqrt(5) + 3*sqrt(180) + sqrt(5)) - (-3*sqrt(144) - sqrt(9))\/(sqrt(21)\/(sqrt(7) + sqrt(112))).\nAnswer: 326*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**2*k**3 + 4*a**2*k - 2*a*k**2 + 12*a*k - 6*k**3 wrt k.\nAnswer: 24*a**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192408 is divided by 247?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30332 is divided by 180.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvedudttl. What is prob of sequence ddev?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {v: 2, g: 3, x: 1, m: 1, b: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -118039.\nAnswer: -4\/118039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 32 = 2*t, t = 4*m + 39 - 8. What is the remainder when 109 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16003 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 18*f = 45*f + 120. Let z(m) = 13*m**2 + m + 6. Give z(f).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-136)\/(-204)*52\/(-10)*5\/(-113) and 97\/6?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and 0.7.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - b = 1, 5 = 5*z - 2*b + b. Factor z*y - 9*y - y**2 + 9*y.\nAnswer: -y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) - ((-100)\/(-8) - -7). Let r(w) = -221*w + 2. Is r(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 7509.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002003522 rounded to seven dps?\nAnswer: -0.0002004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 9. Let g be q(-6). Suppose 0 = 4*x + 3*f - 31, -g*f + 2 = -2*x - 5. Calculate the highest common factor of 36 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.1, -5, -4, -45, 3 in increasing order.\nAnswer: -45, -5, -4, -2\/9, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**3\/k*k))*k**(-1\/2)*k)\/((k**(-2\/11)\/k)\/k*k)**5 assuming k is positive.\nAnswer: k**(207\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/(-3*(-2)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + 1. Let v(i) = -i**3 + 7*i**2 + 2*i + 8. Let o be v(7). Suppose 5*z - 5 = 3*r + o, 9 = 2*z - 3*r. Let l = z + -2. Give c(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -4 + (-9 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7 = 8. Suppose 2 = 2*r - 4. Suppose 0*v = -3*v + r. Which is the third smallest value? (a) v (b) 4\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -429?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 155*p**4 + 9*p**2 + 9*p. Suppose 0 = -2*u + 11*u + 27. Let a(h) = h**4 - h. Let y(s) = u*a(s) - t(s). Find the third derivative of y(b) wrt b.\nAnswer: -3792*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Let v(o) be the third derivative of o**5\/60 - 5*o**4\/24 + o**3\/3 - 7*o**2. Let f be v(5). Solve n - 5 = f*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20969, -41933, -62895, -83855?\n\"Answer: k**2 - 20967*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g + 0*g)*(-7 + 9 + 5)*(7 - 5 + 16)*(2 - 7 + 0).\nAnswer: -1260*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183355.7ml to litres.\nAnswer: 183.3557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-1))\/4 - 3. Let g be (-4)\/d + (-36)\/16. Let f = 169\/165 - 14\/15. What is the smallest value in f, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11589 plus -0.1?\nAnswer: -11589.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + 2*sqrt(275) + ((2*sqrt(99)*2)\/(sqrt(27)\/sqrt(12) - sqrt(9)))**2.\nAnswer: 10*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - c**2 + 2*c + 1. Suppose 5*d - 13 = 12. Suppose d*p - 11 + 1 = 0. Is n(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32\/158551 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 347112*o**5 - 521*o**2 - o + 59?\nAnswer: 20826720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(1584) + 3 + sqrt(1584)*1*-6)*4 + -5)*-1)**2.\nAnswer: -7200*sqrt(11) + 633825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14917572 - 2922572. What is j rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -26\/5 (c) -66\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6898 + 13934 + 3*m - 6944 + (-4 + 3 - 1)*(4*m + 3*m - 3*m) - 3*m + 3*m + 4*m.\nAnswer: -m + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, -5, -0.3, -2\/15, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730828.\nAnswer: 2, 7, 43, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7778006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -d. Suppose -2*b + 2 + 6 = 0. Find the second derivative of 3*a**d - 2*a + b - 4 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 584, -3, 54 in descending order.\nAnswer: 584, 54, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22353.6 - -22354. Suppose 4*o = 0, -7*j + 4*j = o - 6. Which is the fourth biggest value? (a) 3\/8 (b) 3\/2 (c) v (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 30*g**2. Let c(m) = m. Let s(b) = -2*b. Let t(x) = -3*c(x) - 2*s(x). Determine r(t(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 645*k**2 + 5304*k + 10704.\nAnswer: -3*(k - 223)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c - 9 = 5*r - 29*c, -165 = -3*r + 45*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -1\/6*u**4 - 2\/3*u**2 + 0 + 5\/9*u**3 + 5*u. Factor i(a).\nAnswer: -2*(a - 1)*(3*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-36)*4 + 120\/135. Which is the second biggest value? (a) 0.1 (b) u (c) -4 (d) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 267.\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -5117079\nAnswer: -511707.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 1220.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 2*b - 11*b to q*b + g and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4244320 divided by 848864\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**5\/25 + 2*r**3\/15 + 16*r. Factor h(x).\nAnswer: -4*x*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -1 - (33 - -355). Let s = d + 388. Let b(i) = i**2 + 4*i - 4. Give b(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10632 is divided by 242?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6156)\/90)\/(-38)*30\/(-3375).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/23 (b) -4 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 - 19 = 0. Let u be (-5 + 7)*d\/2. Let c = 9 - u. Calculate the greatest common factor of 8 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245 divided by 3788\nAnswer: 245\/3788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 - 108. Solve -7 = 4*u - i, i + i = -5*u + o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.7 + 21. Let l be (-52)\/8 + (-1)\/(-2). Let j = l + 9. Which is the closest to 2? (a) j (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -307, -319, -339, -367?\n\"Answer: -4*r**2 - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43506 and 391554.\nAnswer: 391554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*r + 222 = 8*q + 719*r, 4*q - 5*r - 141 = 0 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40812 is divided by 13166?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007624956752 to 7 dps.\nAnswer: 0.0007625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -424, -407, -372, -313, -224?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*z + 2. Suppose 4*k = -z*a + 31, -k - 3*k - 41 = -5*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 69?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 + 7*n + 10. Let y(z) = -2*z**2 + 7*z + 9. Let q(c) = -3*h(c) + 4*y(c). Calculate q(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1372 or -15.69?\nAnswer: -1372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 4:59 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9256 - -9265. Let a(j) = 98*j**2 + 1. Let z be a(-1). What is the highest common divisor of n and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 5, n: 1, r: 2, y: 1, q: 3}. Give prob of picking 2 h, 1 r, and 1 n.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202453.\nAnswer: 17, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.13858s to milliseconds.\nAnswer: 61138.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 2*d + 4. Calculate the least common multiple of 2 and c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 198 = 18*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9993757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -24*y + 12. Let a(s) = 1. Suppose -4*u = -4*g + 68, 3*u + 27 = -2*g + 3*g. Let k(j) = g*a(j) - t(j). Let q(l) = l**2. What is k(q(r))?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134594 is divided by 162.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/11858 and 93\/3489640.\nAnswer: 24427480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - 6 + 2326*d - 3*d**3 - 2320*d + 3*d**3 - 16*d**4 + d**2 to the form s + x*d**3 + q*d**4 + k*d**2 + u*d and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4518.791 + 4519. Which is the smallest value? (a) o (b) -7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321.519269 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3233.\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 433 + 1233. What is the least common multiple of g and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973.4238 nanoseconds to hours.\nAnswer: 0.0000000002703955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54782482?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1072 and -63\/160.\nAnswer: 10720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -7*l**4\/12 + l**3\/6 - l**2. Let x(u) = -47*u - 156. Let b(r) = -55*r - 182. Let m(z) = 6*b(z) - 7*x(z). Give j(m(d)).\nAnswer: 14*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/8 - 71445*p\/8 - 17861\/2.\nAnswer: -(p + 1)*(p + 71444)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -49. Let o(j) = j**3 - 3*j**2 - 3*j + 7. Let v(y) = -2*y**3 + 4*y**2 + 4*y - 6. Let g(x) = r*o(x) + 3*v(x). Differentiate g(w) wrt w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*b - 2*b + 3*v, 0 = -3*b + v + 79. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -t - 2*t, -t = 4*a + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (5 + -13) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*k - 10 - 2, -4*k = r - 9. Let y be (-27)\/k*(32 + -2). Which is greater: y or -406?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 70, -2 in increasing order.\nAnswer: -2, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*u = -12 - 33, u - 45 = -2*p. Suppose d + q = p, 26*d + 94 = 31*d - q. What is the remainder when 141 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42462 and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96641967*p + 310015815.\nAnswer: 96641967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214.03 - 211.03. Which is the second biggest value? (a) 7\/2 (b) l (c) 100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/3 + 175*o**3 + 11856*o**2 - 3212352*o.\nAnswer: o*(o - 99)*(o + 312)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - (-4 - -4)) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 581276 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + 11102?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Suppose -4*z - 6 = -2*l, g*z + 8 = -0*z + 5*l. What is the tens digit of -5 + (-3 + 0)\/z - -35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*i**2 + 4 + (-i - 2*i + i)*(0*i - i - i) - 4*i**2 + 6*i**2 - i**2 + (15 - 16 + 20)*(-117*i + 9*i**2 + 117*i).\nAnswer: 178*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - 22*o**5 + 368*o**3 - 368*o**3 + (o - o - 2*o)*(-3*o**2 - 4 + 4)*(2 - 2*o**2 - 2) + 2*o**5 - 4 + 4.\nAnswer: -32*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 12:07 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**2. Let q(r) = -16029300*r**2. What is q(a(f))?\nAnswer: -144263700*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2272 and 20377.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 602553 divided by -3?\nAnswer: -200851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 6. Let f(g) = -g. Let w(k) = -3*f(k) + n(k). Let m be w(11). Solve x + 0 + m = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w. Let s = 1 - 2. What is the least common multiple of t(s) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194379, 194373, 194367?\nAnswer: 194361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a + 7. Let b(f) = -1. Determine -24*b(u) - 3*l(u).\nAnswer: 18*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 7. Give m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (8 + (-11 - -6) - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/4 + 66*h - 4095.\nAnswer: 3*(h - 42)*(h + 130)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*h**2*p - 121*a**2*h**2 - 11*a**2*p + 8*a**2 + a*p - 21*h**2*p + 5*h - 1 wrt h?\nAnswer: -2*a**2*p - 242*a**2 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 52 (c) -1361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -243*r + 21440. Calculate b(79).\nAnswer: 2243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2. Let n be ((-188)\/47)\/(-2 + 0). Let l(o) = 10*o + 14*o + n*o - 27*o. What is q(l(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/4 (c) 389 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*(sqrt(156)\/(sqrt(12) - sqrt(48)) - -2*(1*sqrt(13) - sqrt(13))**2)*-2.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69363842 is divided by 7134?\nAnswer: 7094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-1467*y**5 - y**3 + 26*y**2 + 1479*y**5 - 29*y**2).\nAnswer: 24*y**5 - 2*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 46*w + 260. Let a be b(-5). Let z(m) = -3*m - 45. Let g be z(-16). Solve -5 = -g*s + 4, -a*s = -5*v - 30 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 721986?\nAnswer: 23103552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/22, 4, -1\/2?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15\/11 (b) 1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2071798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -266829, -266824, -266821, -266820, -266821?\n\"Answer: -s**2 + 8*s - 266836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4998173*h + 4122391 with respect to h.\nAnswer: -4998173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 - 66. Suppose -5*i + 659 = 4*l, -5*i - q = -l + 90. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - 2*v. Let y(x) = 5*x**2 - 1. Let h be y(1). Let b(l) = 0*l**2 + h*l**2 - 3*l**2 - l. Let s(d) = d - 5. Let o be s(3). Give o*b(q) + j(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.066346 + 0.0343.\nAnswer: 0.100646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 2. Let t be c(2). Suppose -d = t - 3. Let n = 16 + d. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 3. Let h = 13 - y. Let b be ((1 - -7)\/(-1))\/((-713)\/1426). Calculate the highest common divisor of b and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 4*q - 3. Let p be o(-4). Suppose 5*u = 2*k + 25 + p, 17 = 2*u + k. Solve 0 = -4*j - 0 - u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -63943?\nAnswer: 63936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)\/((-50)\/25). Suppose -5*i + 2*m - 4 = r, -2*m + 7*m - 10 = -2*i. Determine w so that i + 0*w + 1\/3*w**5 - 1\/3*w**3 - 1\/3*w**2 + 1\/3*w**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 6.1. Which is the closest to 0? (a) 5 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 137*x**3 - 4*x**2 + 18*x - 40. Is 32 a factor of b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 719 - 716. Let o = -7 - -28. Calculate the greatest common factor of v and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**3 + 15*z**2 + 3*z - 6.\nAnswer: 3*(z + 1)*(z + 2)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16400 and 141561520.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2 = 2*c - 4, 2*q = 1609*c - 1607*c + 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512168 to the power of 1\/2, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1481068 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w - 50. Let h be d(6). Suppose -h*x = 2*x - 2352. Suppose 2*t - x = 4790. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.795532 months in decades?\nAnswer: 0.1482961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/6*486\/(-594). Let r(y) be the first derivative of -y - 1\/16*y**4 - 5\/12*y**x - y**2 - 20. Factor r(f).\nAnswer: -(f + 1)*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287568157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3)*c\/(c*c**(-2)))\/(c**1)**(-8\/5) assuming c is positive.\nAnswer: c**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0872 + 0.1172. Let n = 5.03 - 0.03. Which is the smallest value? (a) n (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2755710?\nAnswer: 2, 3, 5, 67, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**2 + 23*q**2 + 27*q**2 + 2*q.\nAnswer: 34*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -625*x + 206859. Determine t(331).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(405)*5)**2.\nAnswer: 20250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 12)*(n - n + 2*n).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, j: 2}. What is prob of sequence jyyj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 2*l + 0*l)*(34 + 7*l**3 - 34) + 50 + 4*l**4 - 47 - 27*l**4 + 7*l**3 to u*l**4 + g*l**2 + n*l**3 + x*l + q and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29009*v**2 - 2*v + 4349?\nAnswer: 58018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 12*x + 61. Calculate r(-12).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 222 times -0.2\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 + -213 - (-2 + (0 - (-3 - 1)) - 94)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 582871 + 569?\nAnswer: 583440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1265, 1266, 1267, 1268, 1269, 1270?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 389 (c) 4\/5 (d) -2 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - d, 11 = 4*d - 1. Let t(u) = 15 - 7 - 8*u**3 - 7. What is the lowest common multiple of t(b) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/15)\/(-1)*(-80)\/(-32)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96643 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 15*p**2 - 22*p + 27. Let t be u(16). Let b = 67 + t. List the prime factors of (-2 + 12 + b)\/(4\/60).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47414*-0.1675.\nAnswer: 7941.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 = 15. Suppose -80 = -w*j + j. Let t = j - 7. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g*l**4*t + 342*g*l**2*t - 8918*g*t - l*t + t wrt l?\nAnswer: 4*g*l**3*t + 684*g*l*t - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1669 + 1734. Calculate the highest common divisor of j and 2665.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26705450 rounded to the nearest ten thousand?\nAnswer: -26710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 + 3*z + 2. Give v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*u*v**3 - 96709*u*v + 435*v**5 wrt v?\nAnswer: -108*u*v + 8700*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d**3 + 2*d**2 - 19*d + 28. Let h(q) = q**2 - 8*q - 112. Let y be h(-7). Is z(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11350187 and -2079079?\nAnswer: 13429266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 6)*(-1 + l + 1) + (5*l - 5*l + 7*l)*(1 - 1 + 1) + l - l - l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/7, -2\/5, 5 in decreasing order.\nAnswer: 5, 0, -1\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -4*a. Let y be -6*(a - 9\/(-6)). Let f be 2\/(-9) - (-7)\/y. Is f less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.8075371 rounded to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2505118.\nAnswer: 2, 7, 11, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -5*p + 32. Let k = -22 + p. Suppose 4*w + 13 = 5*w - 5*g, 4*w = -2*g + 74. What is the remainder when w is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let t(n) = -3*n - 6. Give -5*a(i) + t(i).\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1112.4, 6, -3\/5, -3\/7, 2\/23 in descending order.\nAnswer: 6, 2\/23, -3\/7, -3\/5, -1112.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 + 11*v**3 + 7*v**3 - 22*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkkggkfktngffff. What is prob of sequence knt?\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**3 + 1\/90*p**5 - 1\/72*p**4 + 0 - 1\/360*p**6 + 0*p - 45*p**2. Factor d(q).\nAnswer: -q*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -885*q + 1992*q - 2 + 2 + 599*q + 1302*q.\nAnswer: 3008*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/((-1)\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4925*j = 138528 + 2059 + 61547 + 9641 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8044*o**3 - 4*o**2 - 28. Let m(y) = -2*y**3 - y**2 - 7. What is 4*m(z) - v(z)?\nAnswer: -8052*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - y - 23 = -35, 3*f = y. Solve 2*h = 5*h - 3*o + 12, -f*o - 12 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = -0*l - 55 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -21 (c) 0.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -470312 + 5168112\/11. Is -485 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, 0.2, 132\/107, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/((-1254)\/308) + -30 + 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 - 93 = 105*n + 434 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 8012*r - 8011.\nAnswer: -(r - 8011)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**5\/160 - 3*u**4\/64 + 7*u**2 + 9. Let m(n) be the second derivative of i(n). Factor m(l).\nAnswer: -3*l*(l + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 9*p - 318. Let y = -55 + p. Let b(i) = 22*i - 4. What is the tens digit of b(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 1. Let u(o) = 6*o**2 + 17*o + 6. Let v(n) = 10*f(n) - 2*u(n). Factor v(j).\nAnswer: -2*(j + 1)*(j + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2 + (-9)\/1. Let z(c) = -c**3 - 8*c**2 + c + 11. Let u be z(w). Suppose -5*b + 3*q + 53 = -20, -3*b + u*q = -45. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68780 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 10*w + 3*w - 16*w.\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 579.111 milliseconds?\nAnswer: 0.00965185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-20))\/(4\/(-10)). Let o(c) = -y*c - c + 9*c. Suppose q + 6 - 7 = 0. What is o(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s + s + 4*s + (-27*s - 35 + 35)*(2 - 1 + 2).\nAnswer: -79*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7 = 5. Suppose 0*u + f*u = 20. Solve -u*g + 0 = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 2*r**2\/3 + 4*r\/3.\nAnswer: -2*r*(r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + 61. Which is smaller: o or 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 15*b + 10. What is the biggest value in 5, 0.2, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 6*c + 10*c)*(-4*c + 11*c + 7*c)*(c**2 - 4*c**2 + c**2).\nAnswer: -532*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*u - 349 - 554. Calculate the highest common factor of 387 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243 and 27.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 6 = -22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 561 and 596343?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.8, -0.1, -112, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) 1 (c) 4\/3 (d) -3 (e) 3.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -31\/2566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11448\/(-50))\/((-37)\/74). Let k = -458 + z. Are 2 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l + 4. Suppose 2*i = 7*i. Suppose 3 = z - i. What is h(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -17, 22, 13, -3, -16 in decreasing order.\nAnswer: 22, 13, -2, -3, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116567 is divided by 7863?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28144303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-3 + 2) - 0) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 11. What is the remainder when 20 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228674769 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73636, -148803, -223970, -299137, -374304?\n\"Answer: -75167*y + 1531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 13. Let l be (20\/(-30))\/(1\/i). Let g(k) be the second derivative of -k**3\/6 - k**2 - 2*k. What is g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 9, 5*l + 0*f + 2*f - 9 = 0. Calculate the lowest common multiple of l and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815 + 1517 - 702 + 28*a**2.\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -1\/22, 208, -5, -2 in decreasing order.\nAnswer: 208, -1\/22, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.53 (c) -1\/80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + a + 646 = -k, -5*k + 3*a + 638 = 0. Calculate the common denominator of (-202)\/(-10)*k\/(-208) and (53\/(-60))\/(3\/(-9)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3325*p**2*y**3 - p**2*y - 9*p**2 - 25*p*y**2 - 2*p*y + y**3 - 4473 wrt p.\nAnswer: -6650*y**3 - 2*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2898*h - 12716. What is v(5)?\nAnswer: 1774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*o = -324*o - 5*j + 76, -5*j + 22 = o. Suppose -4*x + 20 = 2*n, -x + 20 = 4*n + 3*x. Put o, -2, -3, n in increasing order.\nAnswer: o, -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 14*u**2 - 15*u - 17. Calculate the remainder when 15 is divided by a(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 15\/2*f**2 + 0*f - 14 + 0*f**3 + 1\/270*f**5 + 1\/54*f**4. Let b(u) be the second derivative of t(u). Factor b(s).\nAnswer: 2*s*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 12*p**3 + 14*p**3 - 4 - 3*p**3)*(-20 + 20 + 22*p).\nAnswer: -22*p**4 + 66*p**2 - 88*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 13 = -o - o, -3*z = -9. What is the derivative of -15*h**2 + 5*h**3 + 28*h**2 + 13 - 13*h**o wrt h?\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 10, 7, -2, -95.\nAnswer: -95, -5, -2, 3, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15169.\nAnswer: 7, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4\/10*(172 + 5 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/2, -1\/25, 2\/13?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/12 - 85*k**4\/24 - 225*k**3 - 2*k**2 + k + 1935. Suppose l(v) = 0. What is v?\nAnswer: -10, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 21*b - 6. Let v be c(6). Let y be (-4)\/6 + 292\/6. Calculate the highest common factor of y and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 18*g**2 - 72*g + 74. What is t(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**2\/7 + 1224660*q\/7 - 187474014450\/7 = 0?\nAnswer: 306165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.4. Let x = -1.3 + 0.8. Let j = -2 - -2.3. Which is the closest to 1? (a) f (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3900 divide 243150500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -6*y + 380. Suppose 0 = -2*m + 4*m - y. What is m rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/2)\/g*g**(3\/16)\/g*(g**(-3\/11)\/g)\/(g**(1\/4)\/g))**(-2\/127) assuming g is positive.\nAnswer: g**(-29\/11176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**3\/3 - h**2\/2 + 3*h + 5. Let t(p) = p**3 - 4*p**2 + 3. Let z be t(4). What is the smallest common multiple of 9 and x(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 2*r - 3. Let o be i(-4). Suppose m = 4*m + 21. Let c(a) = -2*a - 4. Let b be c(m). Calculate the greatest common factor of o and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45887*a**4*v + 5*a**4 - a*v - 3*a + 1423*v - 4 wrt a?\nAnswer: 550644*a**2*v + 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4288 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1117 + 24*h + 23*h - 71*h - 2339 + 22*h + 1175.\nAnswer: -2*h - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/(-12))\/(2\/(-209541)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 12:43 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4032 and -103\/7776.\nAnswer: 108864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 + ((-18 - -35) + -9 - (0 - 25)) - 9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86 + -57592?\nAnswer: -57658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(1558\/57 - 25)*(8\/4 + 5).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35609225 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382950 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424863 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(((-248)\/32 - -3) + 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518, -384, -166, 136, 522?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjjy. What is prob of sequence jyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7164705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Let i(q) be the first derivative of -23*q**3\/3 - 63. What is i(j(y))?\nAnswer: -92*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -454, 164, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -20*b**2 + 544*b - 108 = 0.\nAnswer: 1\/5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 smaller than -60870\/1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021364 take away 15053007?\nAnswer: -15053007.021364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185340 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36751467 is divided by 1213?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -837.3 plus 28096719381?\nAnswer: 28096718543.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/(2\/(-9)). Let x be v\/2 - (-17)\/(-14). Let o(k) = k**3 - 4*k**2 + k - 4. Let z be o(4). Is z greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18557294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 308 + -309. Let j be (-65)\/(-20) - (0 - (-2 - 1)). What is the nearest to -1\/13 in j, 4, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -2835.1.\nAnswer: -2836.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 155 + -104. Let c be j*((-95)\/(-15) + -5). What is the highest common divisor of 51 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-51.7\nAnswer: -103.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/10)\/(3\/46). Let h = 23 + f. Solve h*c + c = 2*j - 7, 2*c - 22 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 375*c + 14. Is z(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 6:28 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/(-7) - 41\/(-13). Let x = -7.04 + 2.04. Let n be 2*(-6)\/(-28) - 133\/196. Which is the fourth biggest value? (a) n (b) 5 (c) v (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2334 + 11?\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 968*c**2 + 101314*c - 389640.\nAnswer: -2*(c - 85)*(c - 4)*(c + 573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -11 - 3 - -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-16) + (-4 + 32)\/(-7)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1313767, -2627536, -3941305?\nAnswer: -5255074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010010100 + -11?\nAnswer: -111010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113012 + -13?\nAnswer: -2113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-227432841.\nAnswer: -682298523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 351000 = -6*y. Round y to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:46 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49373504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 38, -33, 4, -208 in decreasing order.\nAnswer: 38, 4, -5, -33, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) + 52\/12. Suppose 0 = -g*m + 10 + 6. Which is the nearest to m? (a) 0.3 (b) 2\/3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000 times 0.907429\nAnswer: -907.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 102229.06*16\nAnswer: 1635664.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:55 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*l + 8, 3*k - 2*l - 8 = 2*l. Let y(q) = -q**3 - 8*q**2 + q + 6. Let h be y(-8). Suppose 4 = -3*w + 16. What is the smallest value in w, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 2*m**2 + 3*m + 2. Let g be t(-1). Solve -14 = -4*i - 3*y, 3*y = 2*i - g*i - 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 - p - 4. Let k be o(2). Suppose -5*n + 11 - 51 = -2*f, k = f + n. Let c = 21 - f. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 3. Give p(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 248*p**2 + 37*p + 32. Is q(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((((y*y**6)\/y)\/y)\/y)*y**1)\/(y**1)**0)\/(y**(-1\/4)*y**2)**(-2\/59) assuming y is positive.\nAnswer: y**(-229\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -460483\nAnswer: 1381449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + y + 4. Let x(v) = -1. Let f(g) = l(g) + 2*x(g). Let o be f(2). Solve o*k + 5*c + 17 = 2*k, 0 = -k + 3*c + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-18))\/(-5) + 28\/45. What is the second smallest value in -3\/5, -2, 0.2, u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13147 - -13144. Put 1\/3, -2\/9, -2.5, f in descending order.\nAnswer: 1\/3, -2\/9, -2.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196441452260 - 3?\nAnswer: -196441452263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-10)*(-3555)\/158 + -12. Solve 0 = -3*d - 15, 3*d = 18*z - b*z - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -10. Let q = 17 + k. Solve q*c + 16 = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108\/(3408\/424 + -8).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 j when four letters picked without replacement from uuugguguguugjugo?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + t + 6 + 4 = 0, 3*t - 3 = q. Suppose q*f + 0*f + 6 = 0. List the prime factors of 1 + f - (-7 + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 2 = 4*w - 8*o, 4*w = 4*o - 12. Solve 0 = -2*l + w*x - 8, -5*l = -2*l + 5*x + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 0*h + h + 0*h - h**2 + 3 + h**3. Suppose l + 2 = u - 0*l, -3*l - 6 = -5*u. Let o be w(u). Solve j - 20 = -o*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 - (-39 + 53).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anaqanqna. What is prob of picking 1 n and 2 a?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 - -128. Solve -3*b - 6 = q - 2, -5*q = b + d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 0 + 2)*6 - 2. Find the common denominator of 89\/26 and 162\/(-4)*2\/z.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (0 + -5 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) 3 (c) 0.7 (d) -2\/2997 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**4*t)*t**(-2\/7)\/t)\/(((t**(-7)\/t)\/t)\/t*t*t**5))\/(t*t\/((t\/(t*(t*t**0)\/t))\/t*t)*t**(-1\/3)*t*(t**1\/t)**(-12)) assuming t is positive.\nAnswer: t**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 92? (a) -101 (b) 1 (c) 0.4 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:22 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 12. Calculate t(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1478600 to the nearest ten thousand.\nAnswer: 1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3 - 2\/3*m**5 - 2\/3*m + 4\/3*m**4 - 8\/3*m**2 + 4\/3*m**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 19*f - 66. Let m(s) = 2*s**2 - 8*s - 6. Let p be m(4). Let y be o(p). Solve -3*c + 5*g + 1 + 6 = 0, -4*g - y = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118)\/(-29) - (-82)\/(-1189))\/(3 + 213\/(-75)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.48 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 = 5*a + 426. Calculate the remainder when (((-33383)\/(-14))\/19)\/(1\/a) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 1, -28, -93, -206, -379, -624, -953?\n\"Answer: -2*b**3 + 9*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 38. Let m = j - -41. Let k = m + 2. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -55 + (-16 - -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*f**3 + (3*f**2 + 2*f - 2*f)*(-2*f + 2*f - 2*f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - y = 5, -y - 15 = 4*y. Solve t*x = -6 + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379687369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 44\/9, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14121261 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/43267 (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 7:43 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 25, 138, 349, 688, 1185, 1870, 2773?\nAnswer: 3924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(98)*2 + 1) - (0 + 1*sqrt(98) + -1))**2.\nAnswer: 490*sqrt(2) + 4827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385\/(-371)*112\/24?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-45)\/(-21))\/((-4)\/(-14)). Let v be (-399)\/(-77) - w\/22. Solve -11 = -a - 0*a + v*t, -2*t - 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 4, 12\/11, 3, 10\/3?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-49)\/28)*(-1)\/(-1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 18*y**2 + 30*y - 3. What is the tens digit of i(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.594036268 + 153.594058868. Let c = -153 + w. What is c rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**3\/r*r**(-8)*((r**(-6)\/r*r)\/r*r)\/r*r**2 assuming r is positive.\nAnswer: r**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 4\/(-8)*-50. Calculate the highest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s + 3*s**4 - 14*s - 2 - 6*s**3 - 2*s**4 + 7*s**2 + 9*s to m*s**3 + l + z*s + a*s**2 + f*s**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 42 + (0 - -3) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292479539 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 108147, 108149, 108151, 108153, 108155, 108157?\n\"Answer: 2*y + 108145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f**2 - 12*f. Let q(k) = 0*k**2 + 191*k - 4*k**2 + 3*k**2 - 189*k. Let x(p) = -2*h(p) - 12*q(p). Let y(i) = i - 21. Determine x(y(c)).\nAnswer: -4*c**2 + 168*c - 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(16\/5)\/(((o\/(o**(-37)*o))\/o)\/o*o*o) assuming o is positive.\nAnswer: o**(-169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + n = 884, 3*n - 432 = -5*z + 4*z. Let u = -440 + z. Solve 0 + 12 = -u*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1527 divide 14384706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3, -2\/9, -69.1, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 - 8 - c**3 to g*c + l*c**3 + y*c**2 + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - 17*m - 7. Let w be t(4). Solve 0 = 5*b + w*l - 15, -2*b - 4*l = -l - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 918279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 12.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g - 3. Let x(h) = 3*h - 2. Let r(c) = -6*l(c) + 11*x(c). List the prime factors of r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 5. Let u be (-6)\/21 + 5 + 198\/(-42) - 5. Let g(i) = -1 + 4 + 0 - 4. What is u*g(h) - k(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101387929 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302722519 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*(-53 + 23). Suppose 0*q + v = 5*j + 3*q, 4*j - 5*q = 45. Let u(m) = m**2 - 6*m - 1. Give u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/6712380 and 41\/12?\nAnswer: 6712380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 - -118. Suppose -78 = y*a - 117. Solve -3*x - 2*m + 3*m = a, 4*x + 15 = -m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -48. Suppose -76 = -m + 2*d, 4*d + d = 4*m - 295. What is the highest common divisor of m and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/33 and -203\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 4*i**2 + 9. Suppose -40 = -5*g - 5*g. What is the remainder when 26 is divided by d(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62306\/13 - -4789. Let r be 12\/6 - 573\/(-390). Let n = c + r. Calculate the common denominator of 36\/17 and n.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u + 30. Let q be g(16). Let x = -146 + q. Suppose x = 4*p + 5*k - 2*k, -3*k = -4*p + 68. Solve 6*v - p = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**1\/y)\/y)\/y*y**5\/y)\/(y\/y**(-6)*y\/(y*y*y**6)) assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(-1)\/(-12) + (-2)\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(-16)\/s*s)))\/(s*s*s*s*s\/(s**(16\/9)\/s))*(s\/(s*s**(-46)))\/s**(-7) assuming s is positive.\nAnswer: s**(304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**3\/2 - 875*t**2 + 12035*t\/2 - 5145 = 0.\nAnswer: 1, 6, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (117 - -69497)\/(2*1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.27 - -0.270226. Round t to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -46, -53, -60, -67?\n\"Answer: -7*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4370\/21 - (120\/(-63) + 2). Which is greater: t or 206?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q + 174. Determine j(12).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 - 11. Let p(u) = -4*u**2 + 7*u - 6. Let q(b) = b**2 - 2*b + 2. Let z(s) = -2*p(s) - 7*q(s). Determine 4*r(k) - 22*z(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f - 2*f)*(-16 - 4*f + 20 - 13).\nAnswer: 16*f**2 + 36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 9110 (b) -2 (c) 4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftfhuoc. Give prob of picking 1 t, 1 u, 1 f, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -v + 6*v + 19, -v - 20 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016309579 rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -36. Let t = 0.6 + 1.4. Let p = t + i. Sort -2, p, 0.2 in ascending order.\nAnswer: -2, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6330142350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*z**2 - 301*z**2 - 248*z**2.\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -166*((-3)\/10 + (-8)\/(-10)). Let o = -94 - n. Let p = o - -21. Solve -u = u - p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.189*-0.2\nAnswer: -0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 + 153. Let s be (m\/(-162))\/((-1)\/(-9)*-2). What is the closest to -1 in 1, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 55428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:33 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 39?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 3:55 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5352)\/(-5798) - (-288)\/26\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1802, -1799, -1796, -1793, -1790?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 57 + 83 = 4*a, 2 = 3*a - 2*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 660649632?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(1\/3)*w)\/w*w**(2\/41)*w)\/((w\/(w**(2\/13)\/w))\/(w\/((w*w**(-1\/17))\/w))) assuming w is positive.\nAnswer: w**(70534\/27183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o - 2. Let a(u) = 352*u - 55. Let p(t) = -2*a(t) + 55*c(t). Give p(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*r + 3*r - 2, 4*r + 20 = 4*s. Let y = s - 1. Factor t + 0*t**2 - y - 2*t**3 + 2*t**2 + t.\nAnswer: -2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:10 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*f = 6*f, -3*r + 2*f + 7 = 0. What is the greatest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -102 - 4?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/83 in -6, 0.278, 10, -4, 3?\nAnswer: 0.278","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2795672 and -43\/2795672?\nAnswer: 2795672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiyzwwuwwwuwwwzw. Give prob of sequence zyi.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/33)*v*v\/v**(-7\/5) assuming v is positive.\nAnswer: v**(566\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c + 3. Let k(n) be the second derivative of 9*n**3\/2 - 11*n**2\/2 + 13*n. Let b(w) = -6*k(w) - 22*l(w). Let o(h) = 2*h**2. Give o(b(t)).\nAnswer: 128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000024301671 rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.93105km to millimeters.\nAnswer: 14931050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1573))**2 - (sqrt(13) + sqrt(26)\/sqrt(32)).\nAnswer: -93*sqrt(13)\/4 + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 c, and 1 b when four letters picked without replacement from {d: 3, b: 3, c: 13}?\nAnswer: 117\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -232.83 and -67.\nAnswer: 15599.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -593 + 1a?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1086, -831, -576, -321, -66, 189?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*m)\/m*(m**(5\/6)\/m)\/m*(m\/m**(-5)*m)**(6\/17) assuming m is positive.\nAnswer: m**(-275\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 18. Let b(p) = 3*p + 29. Let w be b(-13). Let k be -2 - 3\/o*w. Solve 4*d - k = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y**4 + 0*y + 10*y**2 + 1\/15*y**5 + 1\/24*y**6 + 0*y**3 + 0. Find the third derivative of q(u) wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 12*n**3 - 3*n**2 - 676 + 672 + 9*n - 14*n**3 - n.\nAnswer: (n - 2)*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(1*sqrt(6)) + (sqrt(18) - (sqrt(288) - sqrt(18))))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 2.7177\nAnswer: -0.244593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1021308522 to the nearest integer?\nAnswer: 31958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11836147629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30289877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 71 = 4*i, i - 5*w + 2*w = 29. Calculate the greatest common factor of i and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 53, 103, 171, 257?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75201254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 12266162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -148*h**2*t - h**2 - 15*h*t**4 - h + 3217 wrt t?\nAnswer: -148*h**2 - 60*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54045002 - -154?\nAnswer: -54044404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 22*n**2 + 24*n - 42. Let b be l(23). Let i = 22 + b. What is the greatest common factor of i and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -1420, -3 in descending order.\nAnswer: 7, 4, -3, -1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Suppose 2*y = -2*q + 2, 3*y + 3 = -5*q - 0. Suppose -2*d + 0 = -y. Solve 5*b + 21 = -l*x, -x = d*x - 4*b - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-105)\/14*(46\/(-25) + 2). Let q = 1 - 0. Suppose -3 + q = x. Is i <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 11. Solve 0 = 2*b - 2*m + 10, -4*m = -b - a - 7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79 + 6*n**2 - 7*n**2 + 82 - 14*n**2 - 85 + 85 + 2*n**2 + 2*n - 2*n + (2*n + 5*n - 5*n)*(n + 2*n - 2*n) - 2*n**2 + 0 + 0 - n**2 + 0*n**2 + 2*n**2.\nAnswer: -12*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.8. Let u = -17\/115 + 8\/23. Let y = -120\/949 - 2\/73. Which is the nearest to h? (a) -0.5 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1775*v - 1774*v = 3*g + 6, 0 = -10*v - 2*g + 28 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1354 - 2332. Let h = n - -553. Let x = -424.791 - h. Round x to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 31*o**2 - 73*o + 18. Calculate the least common multiple of 16 and r(-38).\nAnswer: 51600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*((-21)\/6 - -3). Suppose 3*g = m*o - 1, 5*o + g - 19 = 3*g. Suppose 2*s - 18 = -4*c - 3*s, 5*s - 14 = -2*c. Put 4, o, c in decreasing order.\nAnswer: o, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -55*b + 27. Let v(w) = w**2. Calculate o(v(i)).\nAnswer: -55*i**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.597411391 to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 132 = 3*w, 5*v + 4*w + 160 = 2*v. Let f = -30 - v. Calculate the remainder when 142 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293 - -544. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11211257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b = -77*b - 27 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103054 is divided by 2061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -727956 divided by 15.\nAnswer: -242652\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -683, -1370, -2057, -2744, -3431, -4118?\nAnswer: -4805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 311 + 84. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -40. Let m be (s\/6)\/(8\/12). Solve 3 = -5*x - m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.5, -2.3, 4, -2\/5, -21.051?\nAnswer: -21.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (0\/2 - -5). Let j(s) = s**3 - s**2 - 1. Let k(y) = 4*y**3 - 13*y**2 + 9*y - 1. Let o(m) = u*j(m) + k(m). Factor o(t).\nAnswer: 3*t*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(2*q**3 - 4*q**3 - 6*q**3) to the form b + c*q**2 + z*q**3 + h*q and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -2\/19, -1, 2432\/7, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3130792.\nAnswer: 2, 7, 37, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + 100021?\nAnswer: 22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13.7 * 98\nAnswer: -1342.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106610 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 120\/24013?\nAnswer: 120\/24013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/4 + 13*b**3\/6 + 13*b**2\/2 + 39*b. Let z be r(12). Let f = 468 + z. What are the prime factors of f?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (15 + (18 - (-15 - -60))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14683 or 14684?\nAnswer: 14684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277962687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (0 - -1))*6. Let l(i) = -i**3 - 6*i**2 + 7*i - 7. Let n be l(-7). What is the remainder when 11 is divided by (n + 8)*f\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/384 and -38\/15.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 3. Let g be w(-7). Calculate the common denominator of -62\/5 and g*22\/32*-1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*z - 11, 10 = 2*m - 0*m + 4*z. Suppose m*t = t + 8. Find the third derivative of 0*w**2 - t*w**6 + 7*w**2 + w**6 - 2*w**2 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 6*a - 5. Let z be n(4). Suppose 5*h - z*j = 425, -4*j = -5*j. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21439*c*s*t*u + 139*c*s*u - 146*c*t*u**2 - 2*c*t + 2*s**2*t*u + 11*s**2*u**2 + s**2*u - 2*s*t - 7474*t*u**2 - t wrt u.\nAnswer: -292*c*t + 22*s**2 - 14948*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a0c (base 14) in base 12?\nAnswer: -5aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 6*d**2 - 4*d - 8. Determine n(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3184 divide 1249289167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 23 + 3 + 0 - 23*l. Calculate the smallest common multiple of 2 and x(25).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23488657 to the nearest one hundred thousand.\nAnswer: 23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -14) + -138 + 120 + (-10 - -6) + 151.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 101, 193, 295, 413, 553, 721, 923?\n\"Answer: o**3 - o**2 + 88*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(2*m + 7*m - 3*m) - 12*m + 10*m - 73*m.\nAnswer: -81*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2645 - -2665. What is the nearest to d in -4, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w - 27. Let r(y) = -3*y - 9. Determine -2*h(m) + 7*r(m).\nAnswer: -m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -143, -116, -79, -26, 49, 152?\n\"Answer: v**3 - v**2 + 23*v - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 + 4. Let h = -27 + 23. Let z(v) = -1. Calculate h*z(p) - s(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 5*h**3\/6 - 17*h**2\/2 + 5*h. What are the prime factors of q(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4832 + 464 = -16*x. What is the smallest common multiple of x and 3?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**4\/3 - 60*j**3 + 810*j**2 - 4860*j + 10935 = 0. Calculate j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 2.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*h**2 - 138*h**2 + 4 - 13*h**2.\nAnswer: 154*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfmt when four letters picked without replacement from tfmmmmmfmtfff?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 1\/4, -0.3, -4\/9, 0.2 in descending order.\nAnswer: 1\/4, 0.2, -0.3, -4\/9, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*o = 33 - 61, 12*o = 5*r - 19 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -15. Let r be 1 + (4 - (-2 + 4)). Suppose -p - l = r*p. Round p to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i**2 - 51786*i + 10*i**2 + 51786*i.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 2 = 2. Suppose 16*x - 15*x - 252 = k. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(99) + 1 + sqrt(99) + 4 + (sqrt(99) + 4)*-2))**2 + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 1 = 47*x - 51*x, 0 = 3*o + 2*x - 27 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 11*f**4 - 15*f**4 + 0*f**4 + 3*f**4 - 2*f**4 - 4*f**4 + f**4 + 2*f**4 - 2 + 2 - 2*f**4 + (-f + f - f)*(f**3 - 3*f**3 + 3*f**3).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -6\/5, 8 in ascending order.\nAnswer: -6\/5, -2\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 2*o - 45. Let i be o\/6*12\/16*10. Sort -6, i, 5, 3.\nAnswer: -6, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a*a**(-1\/9))\/a*a*a*a*a**(-37)\/a*a assuming a is positive.\nAnswer: a**(-298\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25162 times 3539\nAnswer: 89048318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3795*s = -3744*s - 153 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/576751123 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*m - 163. Let r = -37 - m. Let k(i) = 1. Let c(p) = p**2 + 6. Let j(x) = -2*c(x) + 11*k(x). Determine j(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930 a factor of 749485210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3631 - 3331. Solve -u*z = -322*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 14 = -2 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + w - 27, w + 13 = -6169*j + 6174*j + 76 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 15806577?\nAnswer: -1\/15806577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -40. Let o = -10 - w. Solve 5*x + 1 = -o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1.8, 1.01, -1\/278.\nAnswer: -0.5, -1\/278, 1.01, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8739 is divided by 485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(sqrt(10)\/sqrt(2) - sqrt(5))*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3147 (base 16) to base 7.\nAnswer: -51531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*((-2)\/(-2) - -1). Is (-1160)\/(-12) - 2\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9343*d - 18657*d + 9314*d + d**2 - 22.\nAnswer: d**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1317846090 to the nearest integer?\nAnswer: 36302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15801, -60845, -135919, -241023, -376157?\n\"Answer: -15015*o**2 + o - 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -6*o + o**4 - 2\/5*o**5 + 2 + 8\/3*o**3 - 2*o**2. Determine g, given that i(g) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 40\/6 + (-4)\/(-12). Let l = j + -1. Solve l*x - x = -20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*v - 2*v + 4*w, 5*w = 0. Let r be 6\/5*(-10)\/(-4). Suppose r*b + 2*b = 560. What is the highest common divisor of b and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (1 + -7)) + 2 + -8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(99) - (sqrt(99) + 2*sqrt(99))) + sqrt(99))\/(sqrt(9)*-1*5) + (-1*(-1 + sqrt(11)*-1) + (sqrt(11) - (sqrt(176) + -1)) + -2)**2.\nAnswer: -7*sqrt(11)\/5 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*h - 259. What is the derivative of -9*j - h*j - 17*j - 53*j - 284 wrt j?\nAnswer: -125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4\/7 + 108*o**3\/7 + 1164*o**2\/7 + 3456*o\/7 + 3072\/7 = 0.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -695?\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4.02. Let d = 0.03 - t. Let l be 3\/9 - (-56)\/12. What is the third smallest value in l, d, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q + 80*q = 0. Put -2, 384, -4, q in descending order.\nAnswer: 384, q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8740.991 - -8745. Let y = x - 0.009. Which is the nearest to -2\/5? (a) -1 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312779 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 2:10 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 4655654.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102237 * -0.06\nAnswer: 6134.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + 1354*w + 6717. Calculate h(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1909 is divided by 71?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 6043 = -12*x - 2*j, 3*j = -5*x + 30201. Let a = x - 48371\/8. What is the common denominator of a and -8\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, -67, -151, -235, -307?\n\"Answer: 2*s**3 - 18*s**2 - 32*s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -140, -329, -624, -1079, -1748, -2685, -3944, -5579?\n\"Answer: -9*f**3 + f**2 - 129*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4934 + -5420. Is 0 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + 0.17. Let h = 0.08 + 0.12. Let u = h - q. Put 2, u, -5 in decreasing order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*v + 300*v - 2734 = 1169 + 5651 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 83 (base 11) to base 5\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 78, 154, 256, 390, 562, 778, 1044?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*s**3 - 33*s**3 + 72*s**3 + 1223 - 2460 + 1237.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s - 5*s + 6*s - 3 + 2*s + 3 + (0 - 3 + 1)*(4*s - 6*s + 0*s) - 3*s - s + 3*s + (s + 3*s - 3*s)*(-6 + 5 + 3) + 5*s + s - 4*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 3*s - 4571 = -34*q, -5705 = -5*q - 2*s. What is the greatest common divisor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45 (b) -1\/28 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + 10. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {s: 3, i: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5280 a factor of 312935040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 + k**2 + k. Let g be t(-1). Suppose 3*w = 3*b - 5*b + 18, -g*w + 2*b = -46. Solve 2*x = 10, -3*o + 35 = -w*o + 5*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuukukkuuuuuuuu. What is prob of sequence kuku?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.374 * 5.4\nAnswer: -12.8196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 4550 - 28070 = 0. Which is smaller: f or -492?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2321 and 6330.\nAnswer: 69630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 + (-95)\/(-3))*(12 - 3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 16*c**2 + 6*c + 36. Let l be i(-16). Let s = l - -62. Suppose m = 5*j - 198, -4*j + 30 + 126 = -s*m. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10)\/((5\/2)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 14 = -2*v, -2*v + 0*v + a = -9. Let g(s) be the first derivative of -s + 1\/2*s**v + 3. What is the derivative of g(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13238, -3, -2, 4, 2, 5, -4 in increasing order.\nAnswer: -4, -3, -2, 2, 4, 5, 13238","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/(10\/5760*16)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30277 or 272482\/9?\nAnswer: 30277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*y - 12. What is the remainder when (1 + 3)*68\/16 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-74 + (6 - (-6)\/(-2))). Suppose -3*v + 231 = -r. Let s = v + -54. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p**2 - 21*p**2 - 14*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/3 - 1)*3. Suppose 0*k = -b*k + 110. Suppose -k = -4*m - 2. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 290 and 61364.\nAnswer: 306820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/237 and 37\/38947?\nAnswer: 116841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a310 (base 15) to base 2\nAnswer: 1000011010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2 + 119*o - 604. What is q(5)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19068244 times -2?\nAnswer: -38136488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -167 (b) -2455 (c) -1.4 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 2)\/(1\/(-1)). What is the closest to g in 3, 6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538\/11 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((4 - (-19)\/(-4))\/1). Suppose -l*g + 1596 = 5*h + 442, -h = 3*g - 222. What are the prime factors of h?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (968\/(-1452))\/((6 + -2 - 5)\/(-141))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 25033255?\nAnswer: -25033256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 461 - 107564?\nAnswer: -107103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 540, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.126 and 2.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22042 (base 5) to base 6\nAnswer: -11014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11017276 and 11496288.\nAnswer: 264414624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -1.8?\nAnswer: 2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/1*(((-8)\/(-6))\/(-4))\/(12950\/2775).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2 + 1176*f - 115248 = 0?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 913317112 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w + 1. Let o = 5 + -3. Let d be z(o). Let y(g) = -4*g. Is y(d) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1407 - -0.0037. Let h = f + -0.1443169. What is h rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + 1.95. Let o = -2.5 - -0.5. Let u = o - 1. What is the nearest to g in -2\/5, u, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2121 + -2118. Solve 0 = 4*d - 3*l + 5, v*d - 10 = 2*d + 3*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22626 and 0.2.\nAnswer: 4525.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 15*j**2 + 5 + 3*j**2 - 31*j**2 in the form g*j + t*j**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -383, -366, -347, -326, -303, -278?\n\"Answer: x**2 + 14*x - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = 3*s, 0 = 5*f - 2*f + 6. Let o be 5\/(15\/6) + -1. What is the units digit of -3 + o\/(s\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -0.4. Let t = 31 + -43. Let i = 16 + t. Which is the biggest value? (a) i (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/203 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.463836.\nAnswer: -0.1391508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*u + 12, -3*u + 18 = -g - 2*g. Let h be 1*1*12*3. What is the common denominator of -2 + u\/h*16 and -18\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 1:57 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1577509)\/(-2) - 12\/(-8). Let i = m + -530793. Suppose 4*f = -i - 42037. Round f to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*g - 13 = 0, -5*b = -24*g + 22*g - 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 + 0*d**3 - d**3 - 2*d**2 in the form h + y*d**3 + j*d**2 + m*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146139\/10 + -14602. What is the common denominator of l and -99\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*s**5 - 23553*s**4 + 2187543*s**3 - 58992507*s**2 + 12322740*s = 0. What is s?\nAnswer: 0, 4\/19, 59, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1046\/23 + 45\/46. What is the common denominator of j and 13\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -25529724*f - 19621. Let m(i) = -6506*i - 5. Give -19621*m(p) + 5*y(p).\nAnswer: 5606*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739662?\nAnswer: 2, 607, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-30) + 2440\/400?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4004952.2 and -4.\nAnswer: -4004956.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*i - 15, k - 25 = -4*i - 0. Let m(h) = 2*h - 3. Suppose a = -3*a + 4*b + 112, 2*b - 126 = -5*a. What is the remainder when a is divided by m(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 966 and (-456)\/(-90)*9*(-70)\/(-28)?\nAnswer: 18354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.938 + 17. Let h = 1145.948 + -1146. Let m = h + r. What is the third smallest value in m, 0.2, 1, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 11 + 1 = 0. Suppose -8*q = -s*q - 3155. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 2.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, o: 1, k: 9, t: 2}. Give prob of sequence gt.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:57 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25631531 or -179420713\/7?\nAnswer: -25631531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/18725 and -39\/52430.\nAnswer: 262150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*i - 101*i - 36*i = 20336 for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12223118 to three decimal places.\nAnswer: 0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*g**2 - 3260142*g + 3260142*g.\nAnswer: 153*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2)\/(-2)*6. Let r(v) = -14*v + 2. Let u(z) = 16 - 15 - 3 + 22*z. Let p(h) = 8*r(h) + 5*u(h). What is p(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*r + 19, 0 = -0*r - 5*r + 3*k + 22. Let w be ((-10)\/r)\/((-2)\/3). Is 3 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373*r*v**5 + 1146*r*v**2 - 2*r - 5*v**5 wrt v.\nAnswer: 22380*r*v**2 - 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(1 + t - 1) + 12 + 33*t - 32*t + 59.\nAnswer: 3*t + 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:36 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 6. Let q(f) = -f + 8. Let d be q(17). Let m(h) = 0 + 2 - 6 + 17 - 7*h. Calculate d*u(o) - 4*m(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 3*l + 3. Let c be p(3). Let m be 2*(4 + (-12)\/4). Suppose -5*z + 140025 = m*v, v - 2*z - 70005 = -c*z. Round v to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(11)*2)*-6.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 0. Let w be -2 + 0 + 2*(855 + k). What is w rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -0.2, -2, 2\/19, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -37 * -0.3\nAnswer: 11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -780 greater than -780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/8 + 0 + 12390\/(-120). Let u = -101 - r. Solve -q = u*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a - 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnaa when four letters picked without replacement from aanaaaaaannnaanaaaa?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2320732\/17671005 - -3\/178495. Let s = -2273\/858 - -134\/143. What is the common denominator of d and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:42 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158740*f**3*m**2 + 3*f**3*m*r**2 + 13*f**3*r**2 - 21*f**2*m**2*r**2 + 994*r**2 wrt m.\nAnswer: 317480*f**3 - 42*f**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31296491 and 14927.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -870923837 to the nearest 1000000.\nAnswer: -871000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 57202 (base 11) to base 15\nAnswer: 197cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -13*x - 24. Let o be -4*(-6)\/x + -63598. Round o to the nearest 1000.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13601 - -13601. Solve -4*t + 18 = 3*w, 3*w = -m*t - 3*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j - 1056 = 4*s, 2*s = 5*j - 522. Let v = s - -374. What is the third derivative of v*i**2 + 6*i**3 - 3*i - 97*i**2 + 3*i wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 - -85.9457. Let q = x - 2.9457. Let g = -0.12 + 0.1. Is g > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 q when four letters picked without replacement from {c: 3, q: 5, u: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9434 = 12*b + 9314. What is the biggest value in b, -0.06, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14111923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60*(730 - (5 - 0)). Let t be (3\/((-6)\/760))\/((-3)\/z). What is t rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 0*l**2 + 0*l**2)*(60*l - 44*l + 79*l)*(l + l - l).\nAnswer: -190*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 99317.1 and 10122.521?\nAnswer: 89194.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 - -33*6\/18. Let x(t) = 82*t - 45*t - 37*t + 2*t**v. Let q(k) = -27*k - 36. Let h(z) = 4*z + 5. Let r(j) = -36*h(j) - 5*q(j). Calculate r(x(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*l**4 - 173*l**3 - 84*l**4 - 50*l**3 + 451*l**2 - 1225*l**2 wrt l.\nAnswer: -72*l - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 - 5468764*r**2 - 3738422460962*r = 0. What is r?\nAnswer: -1367191, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16302, -16290, -16260, -16206, -16122, -16002?\n\"Answer: c**3 + 3*c**2 - 4*c - 16302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 13*h - 202 = 3*b - 123, 112 = -3*h - 5*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 6. Let t = d - -18.5. Sort t, -4, -1, -1\/2 in descending order.\nAnswer: t, -1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (-4 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:22 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 0.2 (c) -0.046 (d) 0.7 (e) 2.3 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 22 + 22 - q. Let u(k) = -2*k**2 + 4. Calculate g(u(w)).\nAnswer: 4*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11062055*v - 9648 = -11062189*v for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 1 + 3, -4*a = -3*n - 68. Suppose -2 + a = z. Suppose 4*q - 4*v = 204, -q + 4*v = 3 - 39. What is the lowest common multiple of z and q?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -5, -2, 2, 1638 in ascending order.\nAnswer: -5, -2, 1, 2, 3, 1638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -54. What is the greatest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24 and 37\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 195\/60 + (-6)\/(-8). Solve z = n*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 4, 6887, -41.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282862145 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61535948 to the nearest integer?\nAnswer: 7844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 864\/126 + (-1459852)\/212646?\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 11191672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 91*h**2 - 8*h + 2. Let u(z) = -61*z**2 + 5*z - 1. Determine 5*r(j) + 8*u(j).\nAnswer: -33*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480463 is divided by 24022?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - v - 2 = -3*r, -5*v = 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-25)*f)*f\/(f*f**(-21)*f)*f assuming f is positive.\nAnswer: f**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/5075 and 23\/4057725.\nAnswer: 117674025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*0.2\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 680, 1017, 1354, 1691, 2028?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 26*v - 47. What is the remainder when z(11) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1.70212.\nAnswer: -0.510636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + (-16 + -2 + 21 + 9 + -23 - -15)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 1\/5, 8554, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6849561041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2096, 5, -6, 4, 46, 0 in descending order.\nAnswer: 46, 5, 4, 0, -6, -2096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -3\/13 (b) -4 (c) -0.5 (d) -2.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 not equal to -7667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010010011001100 + -101?\nAnswer: 101010010011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 1. Suppose -f = 3*i + w, 3*f + 59 = -f + i. Let u(g) = -g**3 - 14*g**2 + 1. Let p be u(f). Are p and 2\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1781 + 0.5969. Let p = d - 0.44. What is p rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2\/11 (c) -5 (d) -27 (e) -3 (f) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 1568 = -d + 14*b, 3*d = 4*b + 4696. Calculate the lowest common multiple of 360 and d.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4360030 by -872006.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 l when four letters picked without replacement from {l: 13, j: 3}?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4848.1 - -4848. What is the nearest to -0.32 in 2\/7, 1, 12, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0, 2, 3885?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.055, -1\/3, 0.4, -1\/205, 0.01?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*x - 9 = 118*x. Is 2\/17881 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14352771 a multiple of 1007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 0 + 1\/15*s**4 + 0*s**3 - 2\/5*s**2 - 4*s. Solve g(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:40 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from sagargarsrssg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 6 = -3*o - 4*m, 3*o - 4*m - 22 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8493 and 41344?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*s**3 + 24*s**3 - 104*s**3 + 32*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/7*((-410)\/(-90) + -5). Which is smaller: -3 or k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -34, 4, 5, 1, 80, -1.\nAnswer: -34, -3, -1, 1, 4, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.155, 1, 11?\nAnswer: 4.155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(550)*5)\/sqrt(2))*-5.\nAnswer: -125*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 8:40 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 516 + -502. Let p = k + -11. Solve 3*n + 2*n + 18 = w, 0 = p*n - w + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5 + t**2 + 3 + 5*t**2 + 11*t - 3. What is the tens digit of u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015052 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109461, -218913, -328365, -437817, -547269?\nAnswer: -656721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + j**2 + j - 1. Let b(q) = 3*q**3 - q**2 - q + 1. What is -b(k) - 2*o(k)?\nAnswer: -k**3 - k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -44800 divided by 5600?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4372 (base 8) in base 12?\nAnswer: -13b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -3 + (30 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.32 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121 greater than 2121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*n*t**2 + 2918*n*t + 1240545*t**2 - 23713 wrt t?\nAnswer: -174*n + 2481090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1456 and 13\/112.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 140740000 rounded to the nearest one million?\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(-3)\/6*5. Suppose -5*i + 165 = -g. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -174.8 + 160. Let q = m + 12.8. Which is the third biggest value? (a) 0.22 (b) q (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 - 111342 + 111342.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(3\/3)*28872\/(-144) is divided by 171.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 0 - 2)*(-4*j - j + 6*j) + 4 - 4 + 2*j - 38*j + 60*j - 117*j as z + n*j and give n.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/5185747 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**5\/150 - v**4\/15 + 4*v**3\/15 - 8*v**2\/15 + 3*v - 68. Let u(b) = 0. Calculate b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 25*b**2 - 53*b + 33. Calculate n(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40*13568.339\nAnswer: -542733.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2 - 0. Suppose 2*g = -3*l + 57, 2*l = 3*g + o*g + 57. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*m**3 - 2*m**2 + 60 wrt m?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, g: 6}. Give prob of sequence ccc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 29*r**2 - 11971*r**5 + 11970*r**5 + 0*r**2 + (-5*r + 2*r + 0*r)*(0*r**4 - 3*r**4 + r**4).\nAnswer: 5*r**5 - r**3 + 29*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 71248.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 452, 442, 386, 254, 16, -358, -898?\n\"Answer: -5*t**3 + 7*t**2 + 4*t + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138733207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/7 - -11\/21. Which is the closest to -1\/2? (a) -3\/5 (b) -1.7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-30 + 3) - (3 - 1). Calculate the greatest common divisor of f and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 593, 1182, 1767, 2348, 2925, 3498?\n\"Answer: -2*w**2 + 595*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/2373 and 131\/11693682.\nAnswer: 1321386066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*q**2 + 28*q**2 + 31*q**2 - 4*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122736 millennia in centuries?\nAnswer: 1.22736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177985, 178011, 178037, 178063?\nAnswer: 178089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by 9\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 50, 1\/9 in decreasing order.\nAnswer: 50, 0.2, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 b when three letters picked without replacement from {n: 1, b: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = a + 13, -2*i = 5*a - a + 10. Which is bigger: -6 or i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**3\/3 - 15*y**2\/2 - 16*y - 2. Does 10 divide o(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -380*g**2*p - 5*g*p - 3*g + 20328*p with respect to g.\nAnswer: -760*g*p - 5*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 39\/52*28\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.5 + 4. Let u = j + -1. Let x be -1*(-1)\/(-2)*0. Which is the smallest value? (a) 2\/5 (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 18\/1 - (16\/4 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2539264879 minus 3077?\nAnswer: -2539267956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3037*l**2 + 10*l. Let i(m) = -189813*m**2 + 624*m. What is -5*i(b) + 312*u(b)?\nAnswer: 1521*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine fifths of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20923722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1621590?\nAnswer: 11351130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5374 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c21 (base 16) to base 10.\nAnswer: 35873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1692777949 - -14.5.\nAnswer: 1692777963.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-20) + (-58)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 6*q**2. Let v be x(6). Let g be (430\/(-387))\/(-4 + 102\/27). Sort g, 6, v.\nAnswer: v, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*d*g**3*n**2 - 16*d*g**3*n + 14354*d*g*n**2 - 2*g wrt g.\nAnswer: 360*d*g*n**2 - 96*d*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 15. Suppose k*g = 2*g + 6. Let m(z) = 1 - g*z + 0 - 2. Calculate m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3993488 times -0.5?\nAnswer: 1996744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 24 = 9*d. Suppose 109 = a - 2*g, 9*a - 4*a + d*g = 573. What is a rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u. Suppose -2*z = 2*w - 6, u*z - 33 = -3*z + 3*w. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122\/(31720\/(-156))*((-110)\/(-3))\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqffxqqfqjfqqfx. What is prob of sequence zq?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 12*q**2 - 13*q - 22. Let v(d) = -d**3 - d**2 + d. Let b(y) = u(y) - v(y). Is 18 a factor of b(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/(f\/(f\/f**(-7))*f)*f))\/f)\/(f*f\/(f**6*f)))\/((f\/((f*(f*f*f**(-2\/7)*f)\/f)\/f))\/f)**(-4\/7) assuming f is positive.\nAnswer: f**(-146\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 3651*w - 32940.\nAnswer: (w - 3660)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 13764238*o + 2 - 2 + 13764662*o.\nAnswer: 424*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54014858753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -483858301*c**2. Let j(p) = 3*p**2. Calculate b(j(m)).\nAnswer: -4354724709*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*j - 8*j**2 + 75*j**4 - j**3 - 111*j + 14*j**2 wrt j?\nAnswer: 1800*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 62\/22 - -1. Let m = 1\/444 - 139\/111. Sort v, -1, m in descending order.\nAnswer: v, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1026008.34 hours?\nAnswer: 6107.1925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -12. Which is the nearest to 0? (a) v (b) -1.8 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 26. Suppose 6 + y = -w. Let c be (w\/8)\/((-1)\/48). What is the highest common divisor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2380 and 42\/18505.\nAnswer: 8808380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9871 - 9880 - 9880 + 39500 - 9869 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/336*112\/(-406).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)*s**6*s*s*s\/(s\/(s\/(s\/(s*s*s**(-1\/3))*s)*s))*s**(-6))\/(s**(-5\/7)*s*s**0*s*s**(-1\/12)*s*(s\/(s\/s**0))\/s*s) assuming s is positive.\nAnswer: s**(395\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1692*a**2 - 56*a. Let y(l) = -31*l + 1. Give y(n(k)).\nAnswer: -52452*k**2 + 1736*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2264 and -2\/9905?\nAnswer: 79240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 251415.39 months in years?\nAnswer: 20951.2825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22860089*p**3*s + p**2*s + 21*p**2 + 3840*p*s - 7*p - s wrt p.\nAnswer: -137160534*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10466, -21016, -31566, -42116?\nAnswer: -52666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45998 = -2*i - x, -2*i = 3*i + 2*x + 114996. What is i rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.16 + -0.04. Let z = g - -1.13. Let q = 0.07000121 + z. What is q rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 464134800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 828422833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154553*q**2 + 1693597*q?\nAnswer: 309106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -70*x + 2. Calculate the remainder when b(-3) is divided by 6\/13 + 2080\/169 + 70\/(-91).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.03, -6\/251, 0.67, 1?\nAnswer: -6\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/20 + s**3\/3 - 8*s**2. Find the first derivative of u(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 2. What is the second biggest value in v, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151*g**3*y**3 - 3*g**3*y**2 + g**3 + 33*g**2*y**2 wrt y.\nAnswer: -906*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62026*a**2*n**2*x**2 - 15*a**2*n**2*x - 3*a**2*n**2 - a**2*n - 48*a*n**2 + 5*a*x + 2*a + 1778*n**2*x**2 - 15*n*x wrt x?\nAnswer: 124052*a**2*n**2 + 3556*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1010 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**3 + 131*i**3 - 51*i**3 - 50*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1)\/(-1) + 13\/13. Find the second derivative of -744 - 10*s - 4*s**3 + 55*s + 744 + 11*s**b wrt s.\nAnswer: -24*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5139.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121 + -104. Calculate the remainder when 27 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13a101 + 6?\nAnswer: -13a0b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -34. What is the closest to -2\/9 in z, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:51 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 1 - 1 + (0*r + 2*r - r)*(1 - 4 + 0) + 69*r - 114*r - 122*r.\nAnswer: -168*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m + 9 = 0, 0 = -3*d + 4*m + 9. Let r be (2 - 3) + (-5)\/d. Solve f = -3*w + 9, r*f - w + 8 = -2*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*a + 24 = 114*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 210689 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0*v + 0*v**3 + 2\/21*v**7 - 20*v**2 + 1\/20*v**5 + 0 + 0*v**4 + 0*v**6. Find the third derivative of g(x) wrt x.\nAnswer: 480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 - 46*p**2\/3 + 222*p - 918.\nAnswer: 2*(p - 51)*(p - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7841 divided by 266\nAnswer: -7841\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 <= 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -28*d**2 - 132*d - 3722. Let y(o) = 235*o**2 + 1055*o + 29770. Let z(p) = 25*w(p) + 3*y(p). Determine s, given that z(s) = 0.\nAnswer: -17, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j + 6\/5*j**5 - 1\/3*j**3 - 28 + 0*j**4 + 43\/2*j**2. Find the second derivative of c(l) wrt l.\nAnswer: 72*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11730 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/60 - 37*j**4\/24 + 27*j**3\/2 - j**2 + 59*j. Is i(-34) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 5 = 3*z - w, 4*z - 2*w - 7 - 1 = y. Let p be 1 + ((-3)\/(-4 + 1))\/z. Solve 5*h - 5*d - 30 = 0, 0 = 2*h + 2*d + 10 - p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211210 + 122305?\nAnswer: -44501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3366288 and 1.5.\nAnswer: 5049432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 603081151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2830, -2, -23, -3 in increasing order.\nAnswer: -2830, -23, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 6*x**2 - 2*x**2 - 3*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a year in months?\nAnswer: 522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d**3 - 542*d**2 + 926*d + 60 = 0. Calculate d.\nAnswer: -1\/16, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*k**3 + 0 + 14*k**5 + 172\/3*k - 1822\/3*k**4 + 314*k**2 = 0. Calculate k.\nAnswer: -1\/3, -2\/7, 0, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*d + 5*p - 16, -2*p = 3*d - 14. Suppose 2*a = -5*c + 4*a - 30, -5*a = -d*c - 33. Suppose -6*g = -3*g. Sort g, c, 3.\nAnswer: c, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 391368459763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 8*w**2 - 3*w - 4. Let c(n) = 17*n**3 - 15*n**3 + 0 + 3 + 3*n - 7*n**2. Let v(f) = 5*c(f) + 4*l(f). Let u be (4\/(-6))\/((-1)\/3). Give v(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 236*a + 726.\nAnswer: -2*(a - 121)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 - 84 = -11*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m + 0*m - m - 3*m. Let o = -74 - -136. Let j(x) = 62 + x - o. What is c(j(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -249.1358 + -0.1642. Let v = n + 318.64. Let p = v - 70. Round p to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1.203, -3, 1, -0.3, -4\/7 in decreasing order.\nAnswer: 4, 1.203, 1, -0.3, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144816.\nAnswer: 2, 3, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 447817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137117058 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/351 and -83\/819.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -8276.\nAnswer: 1\/4138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20296 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 10*t - 7. Suppose 4*z + 30 = -z. What is the remainder when 49 is divided by b(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 8:50 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 41*n + 10. Let v(i) = -41*i - 12. Let b(d) = -6*m(d) - 5*v(d). Let p(a) = 2*a. Calculate b(p(x)).\nAnswer: -82*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 42 + -39 + 13.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -54. Let x = -1225 - -1229. Solve -x*r = -n - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 821215.8 months?\nAnswer: 684.3465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 1 - 2*l + 4 + (-14*l - 16*l + 15*l)*(4 - 1 - 2).\nAnswer: -17*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 95.6368 and -0.05716945.\nAnswer: 95.57963055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 18. Let x be (-8)\/3*18\/(-12). Let q(z) = -4*z + 18. Let c(o) = x*q(o) - 5*f(o). Let s be c(-22). Put s, 1, -5 in descending order.\nAnswer: s, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/43)*(t\/(t*t\/((t**24\/t*t)\/t)))\/t*(t*t\/t**9)\/(t\/(((t**(2\/23)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(9930\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(425))*6 + 2 - ((sqrt(425)*-2 + sqrt(425) + 1)**2 + (sqrt(425) - -1*(sqrt(425) - (1 + sqrt(425))))**2).\nAnswer: -856 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36139\/7 + -5149. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77221 + -24110. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3797798689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 147 - -9 - 1?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 15. Let i be 1*-2 - -3 - -9644. Suppose -b*l - i = 10355. Round l to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.110273 + 4.11. What is j rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (-1*sqrt(27) + 4))**2.\nAnswer: -48*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 250 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.44 - -0.17. Let i = x + -2.73. Which is the third biggest value? (a) -2\/13 (b) i (c) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 - 28*m - 35*m - 48*m + 126*m + 2 - 32*m.\nAnswer: 10*m**2 - 17*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 3*x**2 + 47*x + 500. Let j be m(-7). Put j, -12, -3, -4, 1 in descending order.\nAnswer: 1, -3, -4, -12, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 90 + 110. Let i = j + 63. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 less than 34803?\nAnswer: 34847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2. Sort 0, 4, x in decreasing order.\nAnswer: 4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-18)\/(-14) - 3828\/(-11781)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21636000 and 2250.\nAnswer: 21636000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 31152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - 15. Let p = a - 2. What is the remainder when 17 is divided by (-6)\/p + 2 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 0*w + 7070. Round w to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13. Suppose 6*v + v - 63 = w. Suppose k + 8 = 4*l - 3, -3*l + v = -k. Solve 0*c + l = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 1643035.9427?\nAnswer: 1643039.9427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 4967220?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(18\/(-537)) - (-1)\/2. What are the prime factors of (-446)\/(-10) + (-54)\/d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -8, -3, -9 in decreasing order.\nAnswer: 27, -3, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)*i)**6*(i**0\/i)\/i**5*(i\/i**3)\/i*i*i**(-2)*i*i*i\/i**(1\/9)*i*(i\/(i**(-3)\/i*i))\/i assuming i is positive.\nAnswer: i**(74\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38891063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 4*j**3 - 4*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -93. Let o be (p\/(-18) - -3)*-2. Factor -2\/9 + o*w**2 + 0*w.\nAnswer: 2*(w - 1)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 567\/4*h + 69\/2*h**2 - 73\/4*h**3 + 3\/2*h**4 - 49\/2 = 0. Calculate h.\nAnswer: -2, 1\/6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 6. Let s(g) = -g**3 - 4*g**2 - 4. Let a be s(-4). Calculate v(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 - -2) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-8)\/1).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27254 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(204\/3536).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/21 - ((-18391)\/2310 + 8).\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 42*m - m**3 + 35*m + 34*m - 112*m. Suppose -3*h + 10 - 1 = 0. Let r(c) = 0*c**3 + 0*c**3 - c - 2*c**h. Calculate 2*q(v) - 2*r(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/30 - 37*a**2. Let n(v) = -4*v - 29. Let k(t) = -t - 10. Let u(o) = -8*k(o) + 3*n(o). Determine f(u(c)).\nAnswer: 32*c**2 + 112*c + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -4*s + 14, 8*s - 3*s + 2*g = 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbb when three letters picked without replacement from xxxobbxbbrbbubbxu?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - 0.05. Which is smaller: h or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(600) + (sqrt(600) + (sqrt(600) - sqrt(600)*4))*3))\/(sqrt(120)\/((sqrt(60)*1)\/sqrt(6))))**2 + 2.\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7189627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 599*f + 56. Let c(k) = -599*k - 47. Calculate -6*c(r) - 5*g(r).\nAnswer: 599*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 1 - 13*i**2 + 63*i**2 - 4*i**2 to a + d*i**2 + m*i and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + -1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 828832213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 293743 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86\/9 or -735?\nAnswer: -86\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12135300 rounded to the nearest 100000?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**3\/6 + k**2\/2 + 7*k + 2. Let x(s) = -2*s**2 - 3*s + 2. What is -6*n(y) + 2*x(y)?\nAnswer: -4*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 13*y - 9*y. Let k = 5 - y. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2) + 0)\/(342000\/(-30400))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l = -49*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 + -81 + -137 + -236?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 389845 in -3\/2, 0.09, -3, -0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6755515717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312a32 (base 16) to base 10.\nAnswer: 3222066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2 + 1153010*k + 332358015025 = 0 for k.\nAnswer: -576505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/16*2*569. List the prime factors of p\/5 - 13\/(-65).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -83*b + 28*b - 30*b. Let y(g) = g. Calculate c(y(v)).\nAnswer: -85*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171465324 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 9*z - 20. Solve 3*o - 5*n + z - 21 = 0, 2*o - 6 = 2*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 - 5*d. Let y = 2 - 10. Let x = -6 - y. Let u(o) = 137 + o**x - 137 - o. What is -5*u(s) + z(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -5*m - 5*k + 397, 0 = -5*m + 4*k + 275. Suppose -2 - 1 = 3*j, -2*q + 195 = 5*j. Let v = q - m. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 123 = 291. Let a = -22 + h. Sort -5, a, -4, 6 in descending order.\nAnswer: 6, a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x. Suppose -3*m - m - 64 = x. What are the prime factors of m\/(-20)*50\/4?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -21*c**3 - 2*c - 23. Let u(h) = -h**3 - h - 1. Let t(i) = a(i) - 2*u(i). What is the first derivative of t(k) wrt k?\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7961887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*t - 254*t + 5*t**2 + 116*t + 3*t**2 as n*t**2 + x*t + g and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, 2, 5, -0.138.\nAnswer: -0.138, 0.29, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.276 - -1.276. What is the closest to v in -1\/14, -2\/11, -4\/7?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 12) in base 10?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3217 or -3551?\nAnswer: -3217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-1*5 + 5.\nAnswer: -15*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7492744\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 177307*a - 21276846. Calculate j(120).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60452 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1089\/5 or 219?\nAnswer: 1089\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 4*n**2 + 2*n. Suppose 6 = q - 3*q. Let b be a(q). Sort b, -3\/4, -1\/4 in decreasing order.\nAnswer: b, -1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52 less than 0.209?\nAnswer: -0.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = s - 27, -2*s - 46 = -2*k. Solve -4*h = 18*n - 15*n + 26, -5*n - k = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 2, o: 1, s: 1}. What is prob of sequence osw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -19. What is the highest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 331227.1 nanograms?\nAnswer: 0.0000003312271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/(-2193)*(-30)\/24*(-4)\/10?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126*y - 550*y - 11556 = -1034*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*n + 15 - 12*n - 3*n)*(36*n**2 + 695*n**2 - 53*n**2).\nAnswer: -1356*n**3 + 10170*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2845, 6, -336, 0 in descending order.\nAnswer: 6, 0, -336, -2845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - i - 9, 3*q - 5 = q + i. Suppose q = p + 2*t, p + 0*t + t = 3. Solve -v + 1 + p = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 4, 319*h - 29 = -z + 316*h - 10 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11\/3 (b) -3\/14771 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(21)\/sqrt(3)*5*5.\nAnswer: 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4 + 10 - 6 + 6*o. Let y be q(2). Let g be y\/30 - 3\/(-5). Put -4, g, 0.4, -3 in increasing order.\nAnswer: -4, -3, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 1. Let r(h) = 4*h + 7. Let x(k) = -3*a(k) + r(k). Let m be x(-3). Solve -m - 3 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -477779*c**3\/6 - 11*c**2\/2 - c. Suppose -58 = 5*n - 13. Let l be p(n). Round l to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/240 and 115\/532?\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 510564667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/n*n**12)**(-42) assuming n is positive.\nAnswer: n**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5171 take away 0?\nAnswer: 5171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28430.\nAnswer: 2, 5, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1982 - 3945\/2. Let c(r) be the first derivative of -o*r**2 - 19*r + 6. Differentiate c(d) with respect to d.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 1\/10 (c) -11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + sqrt(4))*-2 + sqrt(4))\/(sqrt(2) - sqrt(242)*-2).\nAnswer: -9*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10383\/4 + -51907\/20. Factor -6\/5*x - d*x**4 + 6\/5*x**3 + 2\/5*x**2 + 0.\nAnswer: -2*x*(x - 3)*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(4 + sqrt(19) + 2).\nAnswer: -36 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 18\/787 (b) 90 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 945 and 4536.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkmm when four letters picked without replacement from {f: 4, k: 13, m: 3}.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 + 76*n + 78 = 0.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (101 - 92) + -6 + -2. Let z = 6 + -8. Which is the third smallest value? (a) -1\/3 (b) f (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5418 - -6254. Calculate the remainder when m is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgdddkaozkadkod. Give prob of picking 1 o and 2 a.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {h: 2, s: 11, g: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = -24*f. Let h = 1.1 + -0.1. Which is the smallest value? (a) h (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.46 + -4.54. What is the nearest to 0 in -0.5, -3, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2701619, 2701640, 2701661, 2701682, 2701703?\nAnswer: 2701724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:30 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + o**3 + o**3 + (-5*o + 2*o + 4*o)*(2*o**2 + 0 + 0))*(3 + 4 - 5 + (0 - 1 - 1)*(-1 + 23 + 3) + 5 - 3 - 4).\nAnswer: -250*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.9 - 31.62. Let p = d + 4.82. Which is the closest to -1? (a) 3 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 962340.5 milligrams to kilograms.\nAnswer: 0.9623405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48220 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16332909*f**3 + 1429299?\nAnswer: 48998727*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366774066 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + q)*(5 + 0 - 3) + 2 - 3*q - 2 + (-9 + 31 - 137)*(0*q + 0*q - q) - 4 - 3 + 13*q + 7.\nAnswer: 121*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5770250 and 10?\nAnswer: 5770250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 - 1 = 0, 5*j - 197 = -k. Calculate the remainder when k + 3*(-2)\/(-6) is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/6 - (-4)\/6. Let s(j) = -4*j**3 - 6*j**2 + 3. Let v(b) = -2169301483*b + b**3 + b**2 + 2169301483*b. Determine t*v(q) + s(q).\nAnswer: 2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:41 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 4*i**2 + i**3)*(-18*i**2 + 7*i**2 - 92*i + 13*i**2).\nAnswer: 2*i**5 - 92*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + -0.31. Let x = f + 0.2. Let h = -43.7 - -44. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1263*p + 97. What are the prime factors of m(-2)?\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 40*k**2 - 39*k - 75. Let b be q(41). Let s(h) = -h**2 - 2*h - 1. Let v(w) = -4*w**2 - 7*w - 3. Calculate b*s(y) - 2*v(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 948 + -1868. List the prime factors of (2776\/(-10))\/(23\/(c\/16)).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1358510000 to the nearest 1000000.\nAnswer: -1359000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7869607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.432 - -0.832. Suppose 1 = y + 4. Put -1\/6, a, y in ascending order.\nAnswer: y, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.2 + 12.1. Let u = 3 - 3.8. What is the second smallest value in z, u, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4122497 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302 + -306. Let y be 45\/10*-2*d\/12. Let m be 1 - 3 - 3*-1. Sort y, m, 2, -12 in descending order.\nAnswer: y, 2, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1015, 2126, 3975, 6556, 9863, 13890, 18631?\nAnswer: 24080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -80, -33, 30?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f + 2*w + 18 - 68, -6 = 2*f - 2*w. Put f, -0.4, 0, 3, 5 in ascending order.\nAnswer: -0.4, 0, 3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 - 1\/2*o**4 + 2*o**2 + 1\/2*o**3 = 0. Calculate o.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4) + 0 + -11549 + 11558?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110732 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7488) - (-2 + sqrt(7488) + -1*sqrt(7488)))*-2*-4)**2.\nAnswer: 6144*sqrt(13) + 479488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2183\/420 + -111\/28. Find the common denominator of 51\/245 and p.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*s - 10 = 5*t - 92*s, 4*s + 20 = 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 - 10*t**2\/7 + 4*t.\nAnswer: -2*t*(t - 2)*(t + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, -6, -4 in decreasing order.\nAnswer: 7, 4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 772366616 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -1 (c) -20723059\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -60 + 711. Is -93 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 11*t - 6. Let b be j(10). Let r = 1433.4 + -1433. What is the second smallest value in r, -1\/4, b, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/15 - 35368*f**3\/15.\nAnswer: 2*f**3*(f - 17684)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 129108.03451 to the nearest one thousand.\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 - -0.5. Let n = 0.6 + -1. Let w = n - o. Is w > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -19.54. Let l = n - -20. Which is the biggest value? (a) 4 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2823 - -2944) + -101 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syyvmsyscksmkmm. Give prob of picking 1 k, 1 m, and 1 c.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3319021 divided by 3319021.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n**(2\/7)*n)))\/n)\/n*n*n)**(8\/11)\/(((n\/(n*n**4\/n))\/n)\/n**(-5))*((n\/n**(-3\/2))\/(n\/(n*n**2\/n)))**5 assuming n is positive.\nAnswer: n**(2573\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**3 - 4*i**2 + 2*i - 7. List the prime factors of q(5).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 - 122\/(-6). Suppose j = 4*p, 4*p = b + 3*b + 532. Round b to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 30 = -6. Let u = -25 - s. What is the remainder when 30 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 21.89. Let v = j + 0.41. Let w be ((-6)\/10)\/((-4)\/5). Which is the third smallest value? (a) w (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393839431?\nAnswer: 277, 337, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - m + 0*m + 2*m. Let v(s) = 15*s. What is v(p(c))?\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 18*i**2 + 41*i - 54. Let q be p(-15). Solve -5*v = 3*g + 7, 4*v + 5*g + q - 3 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-1 + 0))\/(10\/(-180)). Suppose 0 = -5*j + 7*j - o. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 y, and 2 j when four letters picked without replacement from {j: 6, g: 4, y: 7}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-two fifths of a meter?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 - 3*w)*(116*w + 189 - 115*w - 483*w**2 + 482*w**2).\nAnswer: 3*w**3 - 4*w**2 - 566*w + 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/12 + 7*x**3\/6 - 3*x**2\/2 - 6*x. What is v(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99761 (base 11) in base 6?\nAnswer: 3033422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084160778 rounded to 3 dps?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 6*m**2 + 4*m + 7. Let p be t(5). Put p, 0.2, -1, -0.4 in descending order.\nAnswer: p, 0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8320 + 14966. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 761?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3, 4*h = 2*d - 7*d - 17. Suppose 0 = -0*g - 2*g. Let f(x) = g*x + 8 + 3*x - x. What is f(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 9:23 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/60 - 41*o**4\/16 + 61*o**3\/12 - 268*o**2 - 2*o. Suppose s(r) = 0. What is r?\nAnswer: 1\/2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(39)\/sqrt(3) - ((sqrt(13) + 1 + -5)**2 - sqrt(13)).\nAnswer: -27 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/2490885397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 151 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3744272799?\nAnswer: 3, 6553, 63487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/(-494) + 84\/76. Let v = 187\/4 - 47. Which is the nearest to -1\/4? (a) 0.4 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 10 + (-17 - -7) - -29?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u\/u**(-3\/7)*u)))**(3\/5))**(-22) assuming u is positive.\nAnswer: u**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 151*r**2 + 3*r + 182. What is the tens digit of f(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/(-132)*(-544)\/(-40).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10*(-51)\/340)\/(3\/6014). What is the highest common factor of p and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/11 - 6*v**4\/11 + 4*v**3\/11.\nAnswer: 2*v**3*(v - 2)*(v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65*-95.\nAnswer: 6175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 7*g - 5. Solve 3*l - l - g*i = -5, 2*l + 5*i = 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 12*h + 1785. Give r(-148).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - 7. Let b = -95 - o. Calculate the greatest common divisor of 105 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 131.\nAnswer: -52.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 16 = -12*p. Solve -h - 5*t + 20 = 2*h, 3*h + 4*t - p = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 664500504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285396 is divided by 76?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/112)\/(20\/(-70))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 311\nAnswer: 3.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 11:32 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 16, 5*d + 25 = 3*s - 7. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*d**5 + 5790*d**4 + 210*d**3 + d**2 - 2*d - 2795208?\nAnswer: 420*d**2 + 138960*d + 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j + 15. Let r = j + -13. Find the third derivative of -17*o**r + 7*o**2 - 3*o**4 + 12*o**2 wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) 2 (b) 2\/11 (c) -2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + t - 1 - 8)*(-5 + 2 - 48).\nAnswer: -51*t + 306","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + -4*((sqrt(147) + -3 + sqrt(147))*-4 - (sqrt(147) + -3)*-4)))**2.\nAnswer: -10080*sqrt(3) + 338913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 s when three letters picked without replacement from {s: 2, e: 5, q: 6}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 610832 divided by 4.\nAnswer: 152708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73*u**3 - 440*u**2 + 499*u + 14.\nAnswer: -(u - 1)*(u + 7)*(73*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 7:02 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 5\/4, 1, -12, -0.22, 2\/4371?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-25)*j*j*j**(-2\/91))\/(j\/j**36*(j*j\/(j\/(j\/j**29)))\/j) assuming j is positive.\nAnswer: j**(3820\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4608366427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 3*y + 6*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(117))*6 + sqrt(117) + 1 - ((sqrt(1053) + 2 - sqrt(13)) + (-2*sqrt(26))\/sqrt(2)))**2.\nAnswer: 150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20887 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 647 + -3857\/6. Let r = -6278 + 138025\/22. Calculate the common denominator of a and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*d - 578 = 70 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -23. Let q = r + 18. Let u be (4\/q)\/(3\/54). What is the greatest common divisor of u and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -14*((-11)\/44)\/((-4)\/(-76360)).\nAnswer: 5, 7, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/8)\/(1\/(-12)). Solve x - 4 = a*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*r - 11, 0*r = -4*r + 3*c + 8. Let f be r\/5 + 42\/10. Let h = f - 6. What is the biggest value in h, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - t + 8. Let g(k) = 149*k + 1197. Let o be g(-8). Put o, t, -6 in decreasing order.\nAnswer: o, t, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1128 and 164356368?\nAnswer: 164356368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1255396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-3)*(-24)\/(-20). Let i(s) = -3*s**3 + 3*s - 3. Determine i(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-2)*34\/(-45). Let n = 26\/5 - x. Which is the second biggest value? (a) 5 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -34*s - 38. List the prime factors of x(-6).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -83. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151319 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -409 less than or equal to -958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Let d(i) = -i + 9. Let g be d(6). Differentiate o + c**3 + g*c**3 + 2*c**3 wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 501693 and 114276?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -3\/2 (b) -1\/22 (c) 1 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50\/7? (a) 0.1 (b) -9 (c) -0.1072 (d) -2\/3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -i + 5*p, -101*i + 99*i - 10 = -3*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v + 9*v - v)*(5*v**2 + 29 - 29 + (-3*v + 5 - 5)*(-v + 0*v + 8*v)).\nAnswer: -288*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 4*v + 8*v. Let b(d) be the first derivative of -3*d**2 - 28. Determine w(b(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9986.43 nanoseconds to seconds.\nAnswer: 0.00000998643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*k - 1. Let p = k - -7. Let q(u) = -2*u + 3. What is q(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28110680 and 1040?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/5 + k**4\/12 - k**3\/3 + 3*k**2\/2 - 5*k. Let n(a) = -a + 1. Determine f(x) - 3*n(x).\nAnswer: -4*x**3 + x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) -649 (c) -3\/4 (d) 36 (e) 3 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 + 24930*n**3 + 310727519*n**2 - 621529830*n + 621554761\/2.\nAnswer: (n - 1)**2*(n + 24931)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let a(s) be the third derivative of -155*s**2 + 0 + 0*s**3 + 83\/24*s**4 + 0*s. Calculate a(t(y)).\nAnswer: 249*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -118*n - 832. Determine u(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ohcfhahhaccchcchahh.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {y: 2, h: 10}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9569 to 2 decimal places.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 1. Suppose -128 = -k*n + 187. Suppose l - n = -3*d, 2*l - 5*d - 194 = -46. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/63*19023\/746?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2738*q**2 - 1 - 2740*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/35421 and 79\/144.\nAnswer: 1700208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1792292.\nAnswer: 1\/1792292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -562 - -559. Put 0, 1294, n in ascending order.\nAnswer: n, 0, 1294","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -12*j**3 + 0 - 132\/5*j**2 + 0*j + 3\/5*j**4 = 0.\nAnswer: -2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2050, -9221, -21174, -37909, -59426, -85725?\n\"Answer: -2391*i**2 + 2*i + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*m\/(m*m**(-2\/3))*(m**(1\/7)\/m)\/m**(-2\/9))\/((m**1)**(-2\/29)*m**(-1\/2)*m**1*m) assuming m is positive.\nAnswer: m**(-27037\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyycqycccyqyzydyz. Give prob of sequence yq.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/(x*x**(-1\/9)))\/(x**(-2\/17)*x**3)*(x\/x**(-4\/3)*x\/(x\/(x*x**(1\/4)))*x)\/(((x**0*x)\/x)\/x)**22 assuming x is positive.\nAnswer: x**(16409\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00101814 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -113?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 14) to base 2\nAnswer: -1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4b - 115?\nAnswer: -b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - ((2 - -1) + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**5 - y**4 + y**3 + y. Let w(h) = -155*h**5 - h**4 + h**3 + 793*h**2 + 2*h. Let p(t) = -c(t) + w(t). What is the third derivative of p(d) wrt d?\nAnswer: -9360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 15, 6, 2\/87?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38729.14 and 44.8?\nAnswer: 38684.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43157057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101463 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 158 - 159. Let d be 144\/(-126) + 0 + o. Suppose -z + 2*z + 2 = 0. Is z at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(-1 + sqrt(162) + -1 - sqrt(162)) + (sqrt(40)\/sqrt(5) + (-1*sqrt(32) - sqrt(2)))*-3)**2.\nAnswer: -1836 - 1296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62122079159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -68765 divided by -1?\nAnswer: 68765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**5\/40 - 7*w**4\/16 + 2*w**3 + w**2 - 270. Suppose a(t) = 0. What is t?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*m**2 + 32*m**2 + 37*m**2 + (2*m + 2*m - 3*m)*(-20 + 5*m + 18 + 0*m) to n*m + u*m**2 + x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 10. Let s be m(5). Suppose a = -4*h + 15, h + 5*a = a + s. Suppose 15 = 6*g - h*g. Solve 8 + 7 = -4*u + t, -g*t - 21 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 9:28 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-42)\/(-28) + 2666\/4.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4 + 1. Suppose z*h - 19 = 16. Suppose 4*p = v - 8, 0 = 2*v + 17*p - 18*p - 9. Solve -v*n = -h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3754771064?\nAnswer: 2, 11, 61, 103, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10302 divided by -2?\nAnswer: 5151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 4, -458, -2, -3 in ascending order.\nAnswer: -458, -3, -2, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 + -5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3022898?\nAnswer: 2, 1511449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**(2\/23)\/(s**(5\/6)\/(s*s*s**(-1\/7)))*(s**(-3)*s**(5\/4))\/((s*(s*s**(-1)\/s)\/s*s)\/s*s**(-5)\/s) assuming s is positive.\nAnswer: s**(12163\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4 - 3228*y**3 - 329964*y**2 + 5991292*y - 14916720 = 0 for y.\nAnswer: -683, -140, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g**2 + 17*g - 18. Calculate y(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = 0. Let o = 2 - b. Differentiate -4*z**2 + z**2 - z**o - 5 + 3*z**2 with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -31358.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 33 = -9*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 10. Suppose 0 = -y - v*y - 4*q + 100, 5*q = -10. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 86.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99c (base 13) to base 9.\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -j, -2 + 1 = -2*j + o. Let d = j - 2. Suppose -2*r + 2 = -4*u, 5*r - 17 = u - 3*u. Which is the third biggest value? (a) r (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 times -3009511\nAnswer: -9931386.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.11 + 0.11. Put p, -2, 0.4 in descending order.\nAnswer: 0.4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 31*s + 12. Let p be 1\/((-3)\/90)*(-4)\/10. What are the prime factors of j(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*o**5 - 121*o**5 + 0*o**5 + (16*o + 10 - 10)*(0*o**4 + 3*o**4 - 2*o**4).\nAnswer: -133*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3359652 divided by -447?\nAnswer: 7516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4175 (base 10) to base 6.\nAnswer: 31155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*u - 404*u - 384*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1859?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x**2*y**2 + 20*x**2 - x - y**2 - 766*y wrt x.\nAnswer: 8*y**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22013\/10 + -2206. What is the common denominator of c and 1\/((-40)\/122) - 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 14 = 3*v - 41, 2*v - 10 = 0. Suppose 6*h = p*h. Round h to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.128, -0.1, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75076 - 0.5809.\nAnswer: 75075.4191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 97645 and -210?\nAnswer: 97855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 13*p + 49 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -424a0441 + -1?\nAnswer: -424a0442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-22)\/(o*o*o\/(o\/(o**(2\/5)*o)))**(-3)*((o\/(o**(5\/3)\/o*o))\/o**1)\/(o**(-2)\/o)**(17\/5) assuming o is positive.\nAnswer: o**(281\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -0.144 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 23. Let u(j) = -134*j + 3. Determine u(a(h)).\nAnswer: -134*h - 3079","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 263447931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 6 = -4*l - x, -3*l + 6 = -3*x. Suppose -2*s - 37 = -6*s - r, -4*r + l = -2*s. Calculate the least common multiple of (2 + -1)*(-40)\/(-2) and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-82)\/30*(1\/(-5))\/(-1). Let f = o + -3\/25. Let q = -213 - -221. What is the closest to 1 in 4\/7, f, q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 657 and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 10*c - 19. Let y be l(6). Suppose p + 3*p - 426 = -2*r, -y*r + 2*p = -1029. What is the highest common factor of r and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.6 - 41. Let b = p + 7.4. Let m = 0.7 + -0.4. What is the closest to b in m, -0.04, 1\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 5*h, 0*w + h = 4*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54.031 - -54. Let b = w - -6.711. Let f = 7 - b. What is f rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*b = 12, -s + 8*b - 5*b + 8 = 0. Let d = -0.0675 + 35.9675. Let p = 35.7 - d. What is the fourth biggest value in 2, s, -1\/11, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/5 + 27883*w**3\/5 + 194657917*w**2\/5 + 4077032529*w\/5 + 10479929094\/5 = 0. Calculate w.\nAnswer: -13931, -18, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12)\/(1\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + a = 20, -10*a = -5*i - 14*a - 65 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52905, -105802, -158695, -211584, -264469, -317350?\n\"Answer: 2*z**2 - 52903*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*i - 139 = -232*i + 14*o, -4*i + 26 = -3*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-9)*(2 + (-7)\/2). Let f(v) = 61*v**2 + 6*v - 7. List the prime factors of f(m).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 40*y**2 + 14*y - 456.\nAnswer: 2*(y - 3)*(y + 4)*(y + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 262*j + 2285. Let y be v(-9). Which is the nearest to 0.3? (a) y (b) -0.5 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*z - 43, -d - 2*z + 19 = -5*z. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1680096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -744 take away -0.1?\nAnswer: -743.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 7)*(3 + 1 - 6)*(3*t**4 - 3*t**4 - 2*t**5).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265073, 269057, 273041, 277025, 281009?\nAnswer: 284993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:01 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**3 - 44*y**3 + 6*y**3 + 10*y**3.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 421*r + 4132. What is x(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083630111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133782 is divided by 33294.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, n: 7, t: 1, q: 1, e: 1, j: 4}. What is prob of picking 1 t and 1 d?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*m - 16638 = 156*m + 598*m + 13650 for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177921 and 39978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 - 3*b**2 + 54*b**3 - 1211 + 1206 - 51*b**3. Let w(x) = -x**3 + 1. What is -h(y) - 5*w(y)?\nAnswer: 2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 998 - 990. Solve 8*u = -d*u + 48 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/6)\/(26\/8). Suppose -2*s = -10, c - 10 = -4*s + 12. Let u be c\/8*(-5)\/10. What is the third biggest value in l, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11848.02 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, k: 4, i: 6}. What is prob of sequence ook?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 11*k + 24 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91690 by -724.\nAnswer: -45845\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*b**2 + 22*b - 24.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 4*r - 1. Let b be x(-5). Let k be (5\/3)\/((-3)\/(-9)). Suppose k*a = b*a + 22. Solve g - 2*h + a = -3*g, 0 = -g + 5*h - 19 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13767*i + 13553*i = 0. Suppose 2*o - 14 = 2*f - 32, f + 5*o = -15. Solve -x + f*g + 16 = -2*x, -4*x + 2*g + 24 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 253, 172, 171, 250, 409, 648, 967?\n\"Answer: 40*x**2 - 201*x + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 633640?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*p + 2973, -4*p - 3*o + 2372 = -7*o. List the prime factors of p.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209 - 105. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*h - 19*h - 80. Suppose h*j + 33 = 9*j. Sort 112, -4, j.\nAnswer: -4, j, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 14*h**2 + 6*h + 35. What is the units digit of z(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 7*c + 9. Suppose 5*r = 4*r. Suppose -2*a - 27 = -5*a. Suppose r = -2*x - a - 3. What is h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2) + 3 + -3.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b - 9. Let d(v) = -v. Determine d(g(w)).\nAnswer: -13*w + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 274568*j**5 + 259*j**2*s**3 - 4939737*j*s**3 + j*s**2 wrt j.\nAnswer: 5491360*j**3 + 518*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*t = -154, 12*p - 7*p - t - 373 = 0. What is the remainder when 146 is divided by p?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 10*i**2 - 14*i - 26. What is o(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129116602*k**6 + 2*k**4 + 3801*k**2 - 4*k - 7 wrt k?\nAnswer: 15493992240*k**3 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73662 and 21486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -19. Suppose w*h - 3*p = h + 79, 5*h = -5*p + 55. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14307.2 + 14307. Which is the third biggest value? (a) 2\/11 (b) n (c) 1\/7 (d) -2 (e) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3\/2 - 159*l**2 - 4387*l\/2 + 903.\nAnswer: -(l + 21)*(l + 43)*(5*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 33 + 10*d**2 - 9*d**2 - 30 - 6*d. Let h(i) = -i**2 + 4*i + 1. Let q be h(2). Determine c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402897519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1068704610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22788, 90854, 204298, 363120, 567320, 816898, 1111854?\n\"Answer: 22689*s**2 - s + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -427941063 divided by -15849669\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/19 - 72*j\/19 = 0. Calculate j.\nAnswer: -6, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104 + 106. Let n(j) be the first derivative of j - b + 1\/3*j**3 - j**2. Factor n(s).\nAnswer: (s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - w = 16, i + 4*w + 5 = 2*w. Let a be (-7)\/(((-12)\/(-3))\/(-4)). Suppose -9 = 4*y - a*y. Is y >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.09, 0.3, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-30 - -5 - (-4 - 6)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5337\/11 + 485. Are 2\/5 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1002 and 93186.\nAnswer: 93186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 3*h**2 + 3*h - 1. Let t be i(-4). Let b(j) = j + 3. Let p be b(12). Let u = p + -9. Solve u = t*z - 3*s, -4 = -3*z - 4*s - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -91d343 + 2c?\nAnswer: -91d315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Calculate the remainder when 9 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5912219 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**3 - 6*p**2 - 3*p - 3. Let c be v(-5). Suppose -39 = -3*s + c. Suppose -s = -2*g - 2*g. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 4, -5*v = -4*o - 8 - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2114125 and 20.\nAnswer: 8456500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43001420 (base 6) in base 9?\nAnswer: -2330453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 = -7*f + 8*f. Is 2\/(-2) + f + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -291, -399, -505, -609, -711, -811?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3182072694 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - 95 - g + 4*g**3 - 8*g**3 + 97 + 2*g**2 to v*g**2 + i + n*g**3 + h*g and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/17)*q*q*q**(-2)\/q*((q**(1\/4)\/q)\/q)**(2\/139))**(-48) assuming q is positive.\nAnswer: q**(22872\/2363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3387\/20334*9 + 5 + (-130)\/20. Is 0 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8993 and 91\/102.\nAnswer: 53958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) + 3*(sqrt(70) - -1*sqrt(70))))\/(sqrt(700)*2))\/((sqrt(160)*3)\/(-3*sqrt(200))).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 707*k**2 - 174*k - 4. Let o(b) = -b. Determine o(c(v)).\nAnswer: -707*v**2 + 174*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 5*u = -10*a - 31, 0*u = -13*a - 3*u - 172 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -57856 to the nearest 1000.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 161. Is -59 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 372 and 563022.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1826442918*p**3 - 1826442915*p**3 + 3652885852*p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.2 (b) 7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/40*-40*(-432)\/(-384).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 703*d**6\/5 - 1864*d**3\/3 - 822*d. Find the second derivative of c(v) wrt v.\nAnswer: 50616*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goijpzjzi. What is prob of sequence gj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 7482*h + 8509344. Calculate g(-914).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3958164186 and 1527.\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3634*(-3)\/214 + 607 + -556?\nAnswer: 6\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 29 + 14 = 0. Solve 0*h - 3*h + 3 = -3*z, -z - x*h + 17 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213\/(-12) + 24\/32.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 14) to base 5\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 1. Let x(n) = -8*n - 11. Let a(b) = -6*h(b) + x(b). Calculate a(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -13*h - 2475. What is f(-160)?\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z**2 + 2285*z + 15900 = 0. Calculate z.\nAnswer: -20\/3, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/16 + (-171)\/36?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i\/i**(6\/13))**(-1\/11)*(((i\/(i*i*i**4*i))\/i)\/((i**(-3)\/i)\/i))**(-2\/55) assuming i is positive.\nAnswer: i**(342\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -0.7 (b) -0.1 (c) -558 (d) -1\/6 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16614054 (base 7) to base 12.\nAnswer: 6697a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 1032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**4\/5 + 7641*n**3\/5 + 146772*n**2\/5 - 1309596*n\/5 + 2401776\/5 = 0?\nAnswer: -26, 3, 4, 2566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = t + 8, -5*a + 3*t + 23 = 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2343*y**2 + y + 1768?\nAnswer: 4686*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -2*w**3 - 18\/35*w**7 + 0*w - 11\/2*w**4 + 0 - 97\/20*w**5 - 93*w**2 + 33\/10*w**6. Factor m(t).\nAnswer: -3*(t - 2)**2*(6*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f - 78. Let b be v(14). Let s(k) = 51*k - 1. List the prime factors of s(b).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.468 times -19.8?\nAnswer: -68.6664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f - 2*s - 22909, 3*s = -12. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3*(-10)\/15. Suppose -5*f + 10 = -p*s, 5*s = 4*f + 3 + 6. Let g be 2\/4*2\/f*0. Solve g = -4*h + 8 + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6795516 <= -6795518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114980456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 9689*n + 1957626.\nAnswer: -(n - 198)*(n + 9887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let j = -58 - -58. Let o(q) be the third derivative of j + 0*q**3 + 0*q + 1\/12*q**4 - 2*q**2. Calculate o(d(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 7*o**2 + 9*o + 12. Is 7 a factor of x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 - 2*v - 37. Let f(i) = 37*i + 45 - 7 - 35*i - 7*i**2. Let j(c) = -3*f(c) - 2*m(c). Differentiate j(b) wrt b.\nAnswer: 10*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 55 = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 3*x**2 + x - 2. Let r be -2 + ((-40)\/(-9) - (-252)\/(-567)). What is b(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -302 + 314. Solve -6*p + 6 = 4*a - 5*p, 2*a = 4*p + d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 32 = 4*t + 16, -4*q + 34 = -t. Let r(x) = 2*x**3 + 141*x**2 - 1175*x - 161. Calculate the remainder when r(-78) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69125 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.3 and 23556398?\nAnswer: 23556399.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 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: Is 1268208841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 0 + 2\/13*u**3 - 4\/13*u - 2\/13*u**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -14)*(-2 - 2). Let i be (6 + -1)*o\/(-10). What is the greatest common factor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - -1 - (-42 + 38))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 - 5*q**2 + 6 - 6*q - 2*q. Let w be u(5). Let z = 16 + w. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.9 (b) -4 (c) -6\/7 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020259 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 223? (a) 3 (b) -2 (c) -16854 (d) 4\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 179018*b + 9129914. Calculate y(-51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2009*t**2 + 574*t + 287. Let p(x) = 3*x**2 - 2*x - 1. Let o(y) = -287*p(y) - v(y). Let b(z) = 2*z. What is b(o(n))?\nAnswer: 2296*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6 = -2*t. Let i = 6 - 5. Solve -i + 3 = t*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**6\/30 - z**3\/3 + z**2 - 2*z. Let q(g) be the first derivative of o(g). Differentiate q(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:16 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1873112, 5.\nAnswer: -1873112, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2679481562?\nAnswer: 2, 47, 269, 105967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (36679\/10236)\/(5\/(-180)*3)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 8*g**3\/3 - 1. Let u(b) be the first derivative of -b**2 - 109208. Calculate u(m(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.9 - -3.3. Let x = p - -2.2. Let i = 0 + -0.1. What is the nearest to -1\/3 in i, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = 4*v, 2*v + m = -5 - 2. Let t(s) = s**2 + 5*s. Let a(g) = -g**2 - 4*g. Let r(l) = -6*a(l) - 4*t(l). Calculate r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 14*v**2 + 14*v - 8. Let n be l(13). Let g = -61 - -86. Suppose -4*a - a = -2*i - 4, 4*a = -5*i - 10. Solve -n*d + 10*d + g = a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 530312 + 1023?\nAnswer: 531335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8052, 8047, 8034, 8007, 7960, 7887, 7782?\nAnswer: 7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 738568691 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99.2 - 42.3. Let y = 57 - l. Which is the closest to -2\/7? (a) 73 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 99*x - 1. Let s = 6 + 0. Let c be (-6)\/(-9) + 2\/s. Let w be p(c). Calculate the greatest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6340*l**2 - 6377*l**2 + 25402*l**2 - 6349*l**2 - 6334*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 472113793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/147, 0, 0.9 in descending order.\nAnswer: 0.9, 0, -1\/147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/85 - (-70)\/17)*(-772)\/(-14668)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26823 (base 10) to base 16.\nAnswer: -68c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrx when three letters picked without replacement from {v: 8, x: 2, r: 4, g: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)\/((x**(8\/5)*x)\/x)*(x**(2\/3)\/x)\/((((x**1*x)\/x)\/x)\/x))**(-11))**(1\/3) assuming x is positive.\nAnswer: x**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, -30 in descending order.\nAnswer: 3, 2, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 3*c = 10*t + 2275 - 2250, 0 = 26*t - c + 342 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 147 - 8*j**2 - 13*j**2 + 21*j**2.\nAnswer: 4*j**3 - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-3\/10)*t*t**(-3)\/t assuming t is positive.\nAnswer: t**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 2*l + 2*l)*(-529 - 75 - l + 51 - 1246).\nAnswer: l**3 + 1799*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 8453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -110001?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 3*r - 21, 6*d - 4*r + 32 = 11*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -170.029625 to one dp.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4488 = -2*o, -5*o = 61*a - 59*a - 2268. List the prime factors of a.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 6*y + 7. Let i = -1401 - -1403. Give a(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 3*o - 3*o)*(1 - 1 - 5*o + 3*o**3).\nAnswer: 6*o**5 - 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + ((sqrt(76) - -1*sqrt(76)*3) + sqrt(76))\/((sqrt(28)*-2)\/sqrt(7))*3*-2).\nAnswer: -30*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - 3. What are the prime factors of 2\/4*-6 - q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 11*j**2 - 11*j + 11. Let f be n(10). Let p = f - -2. Put -1, -5, p in decreasing order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d + 212. What is the tens digit of v(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.1 + -8.09999789. What is f rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 5*z**2 + 3*z + 4. Let v be m(-4). Suppose 8 = -v*a + 10*a. Solve -a*y + y = 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = v + 19, v - 48*p = -50*p - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 322 by 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -54*q**2 + 6*q - 12. Let b(r) = -1672*r**2 + 187*r - 374. Give 6*b(u) - 187*f(u).\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*o = -6*o + 220 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 578 = r + 588, -2*r + 2 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 - -95. Suppose -2 - t = 5*c. Let i(z) = -9*z - 11. What are the prime factors of i(c)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -912278000 to the nearest 1000000.\nAnswer: -912000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 34*q**3 - 9*q**2 + 4*q + 8. Let p(l) = 68*l**3 - 15*l**2 + 6*l + 16. What is -5*k(x) + 3*p(x)?\nAnswer: 34*x**3 - 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 38118*l - 3 - 38118*l + 6620*l**2 + 3*l**2 - 3*l**2 + 2*l**2 + (-l - l + 0*l)*(6*l - l - 3*l) as h + u*l**2 + z*l and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -1 - 95\/(-38).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1301\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -545*o + 622*o - 3850 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {u: 1, j: 2, f: 4, g: 3, a: 2}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16396647?\nAnswer: 3, 5465549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 12:28 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*10447403\nAnswer: 6268441.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 10.27225?\nAnswer: 41.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*o = 12, -5*x - o - 6 = -9*x. Find the second derivative of 16*i**5 - 3 + 17*i**3 + 3 + 139*i - i**x - 17*i**3 wrt i.\nAnswer: 320*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + b + 1. Let l be j(0). Let w = 3\/4 - l. Is w at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2267.3722 - 2267. Round b to two decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -1)*(-18)\/(18\/1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 + -671\/4. Which is the smallest value? (a) u (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.856 + -0.044. Let r = 0.9 + y. Let n = 4.8 + r. What is the smallest value in n, 2, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from agwxggngnagaawggag?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 0.1563?\nAnswer: -0.009378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6837072?\nAnswer: 2, 3, 11, 23, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6))**(-1\/75) assuming p is positive.\nAnswer: p**(1\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -222 - -222.5862. What is i rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(783\/(-1209)) + 1. Let z = -17\/3 + f. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 1, z: 6, e: 3}. Give prob of picking 1 e and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*o + k + 30, 0 = -o + 5*k + 21. Let l(q) = q**2 - 7*q - 2. Let h(x) = -2*x**2 + 14*x + 3. Let n(a) = -3*h(a) - 5*l(a). Determine n(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:16 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + u**2 + u + 5. Calculate d(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 3*q**3)*((-4 - 1 + 8)*(5*q - q + 3*q) + 0*q + 3*q - 5*q) to the form j*q**4 + c*q + v + i*q**2 + h*q**3 and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 2. Let t(k) = k**3 + 13*k**2 + 27*k - 24. Let m be (-12)\/6 - (9 - 1). Let l be t(m). Let u(p) = 2*p - 4. Determine l*u(i) + 13*q(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/((-4)\/48).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 111006 = -v + 79944, -3*f = 3*v - 572922. Round v to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1, 4\/21113, 0.1, 74?\nAnswer: 4\/21113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0*x - 1\/3*x**3 + 0 - x**2 + 1\/12*x**4. Let d = 0 + 4. Determine v(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 2*t**2 - 7*t + 4*t**2 - 13*t - 3*t**2 + 8 - 4*t**4 + 2*t**3 as y*t**4 + w*t + d*t**3 + g*t**2 + l and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.15, 20, 3\/5, -178\/5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 43*v = 112. Let n(g) be the first derivative of 3*g**2 + v + 1\/3*g**3 + 0*g. Give n(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.7, 3\/4, 2, -19?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-27)\/15 + 2). Let m(d) = -d + 1 - 112*d**2 + 117*d**2 - d**3 + 3 + 3. Let v be m(f). Solve 2*g = v*u + u - 2, 2*g + 2 = -3*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4932 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19504297?\nAnswer: 19504297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 - -1480.\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32715 - -687065\/21. Which is the third biggest value? (a) -0.7 (b) 4 (c) -0.3 (d) 3\/5 (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 25699 - 25523 = 0 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/20 - 7*f**4\/12 - 7*f**3\/6 - 3*f**2\/2 + f. Let r be d(-6). Factor -g**3 + 4*g + 7*g**2 - 7*g**4 - g**r - 2*g.\nAnswer: -g*(g - 1)*(g + 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 4)*44\/33. Let o be (-10 + -30 - -4)*1\/w. Solve -f + o = 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104271432 by -337448.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*p + 2*p + 5, -5*p + x + 16 = 0. Suppose 62*g = -20*g - 134*g. Solve 5*v = -o + 25, -p*v + g*v = -12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.6, 0.5, 9763 in increasing order.\nAnswer: -5.6, 0.5, 9763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 2\/11, -34, 5593?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 92\/(-782) - 6640\/(-85).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 27507\nAnswer: 1\/27507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s**4 - 118075*s**3 - 419*s**2 - 57*s + 54 wrt s?\nAnswer: 144*s - 708450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.18 - -0.68. Let u = 2.6 - x. Round u to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*(-15)\/(-540))\/(30\/(-36)*2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -476.6 - -476.53. What is the nearest to -2 in -0.5, n, -0.2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3676 - 3658. Which is the nearest to u? (a) 5 (b) -3 (c) -0.13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 52. Is 3*-3*(-1588)\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3022 is divided by 430.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 299.1228 decades?\nAnswer: 2.991228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -11. Let a = 57 + -61.2. Let n = a - d. What is the third smallest value in -3, n, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/359 (b) -2\/553 (c) -5 (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 365633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 490 + -467. Calculate the remainder when 61 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2 - 9*a - 15. What is i(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 4. Suppose -k = -5*j + 6, -3*k + 2*k + 3*j = 0. Let w be h(k). Let l = w - 15. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*i + 40, 4*f + 24 = -5*i - 54. Let c be 14\/(-77) - 26\/f. What is the second derivative of n**2 - 9*n + 1 + 2*n - c wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - 155. Let l = -215.99 - f. Let z = -5.56 + l. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1018 (b) 0.5 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 56, 125, 234, 395, 620, 921?\n\"Answer: 2*k**3 + 2*k**2 + 21*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 46, 52, 24, -56, -206, -444?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q**2 - 30*q + 81. Let b(r) = -9*r**2 - 25*r + 80. Let y(h) = 6*b(h) - 5*n(h). Find the first derivative of y(o) wrt o.\nAnswer: -28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 11235?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1. Let c(l) be the first derivative of l**2 - 2*l - 3. Let j(y) = c(y) - 2*h(y). Let m(q) = 0*q + 3*q - q. Give m(j(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**10*r)\/r)\/(r\/(r\/(r**(4\/23)*r))) assuming r is positive.\nAnswer: r**(203\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271407436 is divided by 1346?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1944)*1)\/(sqrt(144)\/(-2*sqrt(108))).\nAnswer: 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g**3 + g**2 - g + 5. Let i = 13 + -17. Let c(x) = 5*x**3 + x**2 + 3. Let z(l) = i*s(l) + 7*c(l). Is z(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8488 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {b: 3, k: 1, f: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgetttmmttyyttgtyyt. What is prob of sequence eg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3*g)\/(g**(-3)\/g))**(-38)\/(g**(-1\/4)\/(g*(g**(-2\/7)*g)\/g)*(g**0\/g)**(1\/3)) assuming g is positive.\nAnswer: g**(-25427\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-385)\/(-1275) + (-4)\/10. Is 0 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 145\/3, 0.2, -17\/11, 5 in decreasing order.\nAnswer: 145\/3, 5, 0.2, -17\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b - 40. Let y be -1*2\/(14\/(-49)). Let t = b + y. What is the remainder when 54 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l**2 + l. Let a(d) = -133*d**3 + 28*d**2 - 28*d. Give 3*a(w) + 84*g(w).\nAnswer: -315*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 0 + 2 - 19\/1425. Let f = a + -14\/75. Let j be (0 - 31\/(-33)) + -1. What is the second smallest value in -5, j, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213021322 (base 4) to base 14.\nAnswer: -42638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -55. Factor -19*f**4 + 2 - r*f + 12*f**2 + 21*f**4 - 8*f**3 + 3*f.\nAnswer: 2*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48a (base 13) to base 12\nAnswer: 55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - 0.4. Let k(x) = -x**3 - 15*x**2 - 3. Suppose a + 3*a + 60 = 0. Let z be k(a). Sort z, n, 3 in descending order.\nAnswer: 3, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r = 26390 + 18010. Let c = r + 2855. Is 55 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 8*c**2 + c - 130. What is the remainder when 523 is divided by b(11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80955395*c**4 + 29486913?\nAnswer: -323821580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 1, k: 1, p: 2}. What is prob of picking 1 g and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2 = -4*p, 0 = 4*k - 3*p + 2 - 3. Let d be (3\/k)\/(4\/(-88)). Suppose 5*t + d - 233 = 0. Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0986+-417451953\nAnswer: -417451952.9014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 1 e when three letters picked without replacement from {e: 1, y: 1, w: 1, u: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1074*g**5 - 1170*g**3 - 3943756*g**2 + 2 wrt g.\nAnswer: -64440*g**2 - 7020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**3 + 2*g**2 - 2357*g + 9431. Determine l(4).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 2, -3*a - 3*y = 36. Let d be ((-9)\/6)\/(6\/(-256)). Let g = d + a. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3239985 or 22679894\/7?\nAnswer: 22679894\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u + 1. Let o(w) be the third derivative of w**5\/60 + w**4\/8 - 11*w**3\/6 + w**2. Let f be o(-5). Determine t(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*l**3 - 57*l + 63*l**3 + 58*l - 16207 to the form y + z*l**3 + d*l + w*l**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -64 + (113 - (66 - -29))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 77178.33mm?\nAnswer: 77178330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q. Which is bigger: q or -1\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, -0.22, -24 in decreasing order.\nAnswer: 2\/31, -0.22, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11504\/(-96) + (-1)\/6. Let z = 114 + i. Is -6 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.61362m to centimeters.\nAnswer: 6961.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -11103211?\nAnswer: -11103221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 45 + n - 36 - 2*n. Let w be q(7). Let l = -2 - 1. Sort w, l, 4 in decreasing order.\nAnswer: 4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364, 726, 1088, 1450, 1812, 2174?\nAnswer: 2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7\/2)\/(b**(2\/9)*b))**(7\/4)\/(b**(-4)*b**4*b*b*b\/((b\/b**(-5\/4))\/b*b)*b*b**(-2\/3)) assuming b is positive.\nAnswer: b**(-673\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 5 + -3 + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5\/4)*f**(-15\/2) assuming f is positive.\nAnswer: f**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -c - k + 145, 0 = -2*c - 4*k + 246. Suppose 145 = 5*g + 4*m, -5*m + c = 3*g + g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 times 17?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14840 and 9740605?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203 + 207. Solve v*x + 5*c = 3*c - 6, 5*c = 3*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -102330301?\nAnswer: 102330313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q. Let x(y) = 40*y**2 - 44 + 14 + 18 + 12. What is x(d(t))?\nAnswer: 5760*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - h = -20, -4*y + 7*y - h = 30. Solve -8 = 3*g - y*m + 5*m, g + m = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/7 + 2948*l**2\/7 - 1322925*l\/7 - 1357853634\/7 = 0.\nAnswer: -466, 1707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1759*o**2 + 884*o**2 + 881*o**2.\nAnswer: 6*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53608554 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l*o**4 + l*o**3 - 12*l*o + 10*l - 28*o**2 wrt o.\nAnswer: -24*l*o**2 + 6*l*o - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - x**2 + 2*x + 69. Let z be a(0). Let p = z - 60. What is the derivative of 39*c**4 + 3651 - 3636 - p*c**4 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2543.48019 milliseconds in days?\nAnswer: 0.000029438428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 49) + 80 - (4 + -3 + 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) + (sqrt(500)*2)**2 + sqrt(5)).\nAnswer: 4*sqrt(5) + 4000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 769*b**2 + 375*b + 3850. Calculate j(385).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -6 + (3 + -2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 44 + (-25 - -3) + -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -8. Let g = -1.00023 - v. Round g to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/10))**(2\/41)\/((j*j\/((j*j*j*j\/(j\/(j*(j*j\/(j**(-3)\/j))\/j*j))*j*j*j*j)\/j))\/(j*j**(-3\/8))) assuming j is positive.\nAnswer: j**(19153\/1640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1211098 and 2068318.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -0.9. Let d = -0.1 + n. Let p = 108 - 544\/5. Which is the closest to 1\/3? (a) p (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/10, 2\/7, -3, 93?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 4. Let z be h(0). Suppose -3*k - 4 = -z*k. Suppose 5*c = -3*o + 53, 36 = k*c - 5*o + 1. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g. Let j(q) = 1 + 1237*q - 1244*q - 6. Suppose -13 = 4*u + 5*s, 5*u = -2*s - 6 - 6. Let y(h) = -1. Let t(p) = u*y(p) + j(p). Give k(t(m)).\nAnswer: -14*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*q**5 - 1056*q**4 + 14768*q**3 + 21120*q**2 + 7200*q.\nAnswer: 2*q*(q - 30)**2*(3*q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5206 and 9?\nAnswer: 46854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 190*p + 253. Let b(t) = -4*t**2 - 384*t + 507. Let g(n) = -3*b(n) + 5*v(n). What is the derivative of g(r) wrt r?\nAnswer: 4*r + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/7, -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 12 = -5*p, 0 = -7*p + 4*p + 3*k + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 87.5. Let g = 1 - 0. What is the closest to -0.2 in g, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((74\/(-333))\/(4\/3)*3)\/((-45)\/(-1)).\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 251846.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3322675*r = -3322625*r + 4750 for r.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 23 = -147. Suppose 180 + k = 2*f. Let i = 1087\/9 - f. Which is the third smallest value? (a) -3 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/39)\/(-5*3\/12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:08 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11599 is divided by 96.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -6\/2600936575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w = 124. Let m be (-6)\/w*12\/(-9). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 7*v + 10. Suppose 2*j - 10 = 4*j. Let w be y(j). Suppose 6*d - 479 - 55 = w. List the prime factors of d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, -5, -1\/2, -3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4859*g - 253*g + 2 + 1505*g - 2891*g.\nAnswer: -6498*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**2\/2 - 840. Let x(q) = -2726*q. Give d(x(o)).\nAnswer: 2726*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323 (base 12) to base 3.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 1:39 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (444\/592)\/(1\/(168\/834) + -5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*v + 3 + 14*v - 4*v.\nAnswer: -25*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 1467 + 3860. Suppose h = m + 4*y + y, 726 = m - 2*y. Suppose -51*g + m = -47*g. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 5. Let t(j) = 2*j - 5. Let n(p) = 7*t(p) - 6*z(p). Let q be n(4). Let r = q + -107\/4. Is r <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 475 in -3, -1.6, 0.0609?\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(4) - sqrt(9))*-3 + sqrt(9))\/(sqrt(3) + -1*sqrt(363) + sqrt(3)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -451 - -672?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304321?\nAnswer: 163, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27681250 and 55362500?\nAnswer: 55362500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381261 and 3006?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**3 + 28*a**3 + 4 - 4.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 848 and 1802?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 + 2. Let u be (-20*6\/(-4))\/(36\/24). Suppose 3*r - 11 = u*l - 21*l, 4*r - 40 = 5*l. Which is the closest to 1\/4? (a) o (b) r (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32400807?\nAnswer: 3, 10800269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h**3 - 7503*h**2 + 12480*h = 0. Calculate h.\nAnswer: 0, 5\/3, 832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1038994186 plus -3?\nAnswer: -4.1038994186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 25*f**2 - 23*f + 30. Let j(l) = -15*l - 39. Let v be j(-1). Let x be d(v). Solve -12 = -2*p - x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 9*t**2 + 84*t + 32. Let g be i(-9). Put -3, g, -5, 10, 3 in descending order.\nAnswer: 10, g, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/2205*28*(-126)\/(-99)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(24 - 58776\/2448). Let r(q) = -4*q**2 + q + 5. Let h be r(-5). Is h at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*a + 21 = 0, -4*a + a + 39 = -3*w. Let i be ((-9 - -5) + 10)*3\/(-2). Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309709 = 4*t + 156681. What are the prime factors of t?\nAnswer: 67, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (36 - (24 + -16 + 21)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.01 - -20. Is 1 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-5)\/((-50)\/(-130))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 5, r: 4}. What is prob of sequence wkwr?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-3)*(-2 + 120\/105) + -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/60 + s**3\/6 + 2*s**2. Let p(r) = -6*r**2 - 8. Let v(o) = p(o) + 8*w(o). Let y(x) = 5*x. Calculate v(y(a)).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n. Let z(f) be the first derivative of -4*f**3\/3 - 24. What is v(z(s))?\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -384 + 2351\/6. Calculate the common denominator of 105\/33 + 14 + -20 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v + 1\/24*v**4 + 0 - 1\/2*v**3 - v**2. Suppose 167 = 24*h + 6 + 17. Calculate j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*l = 74*l + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/9 + 0 + 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/18 - (-2)\/3. Let b(j) = -j**2 + 7*j - 6. Let n be 1*(12\/2 - 0). Let h be b(n). Solve 5*g + i - 7 = h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273*(-369)\/1599 + -51\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70054064)\/494 + (-8)\/52. What is y rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*2*sqrt(104) - (sqrt(104) + sqrt(104) + (sqrt(104) - (sqrt(104) - 4*sqrt(104)*-1)))))\/((-2*sqrt(16)*-1 + sqrt(16))\/(sqrt(32)*-4)).\nAnswer: 64*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 6. Suppose -3*v - n + 3*n - 15 = 0, -4*v = -3*n + 19. Let c(q) = -4*q + 11. What is v*g(l) - 4*c(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.40108cm in millimeters?\nAnswer: 574.0108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*q + 44, 3*q = g - 26 + 14. Let t = 187 - 182. Solve 3*j + 4*h = j - g, -40 = t*j + 5*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*f, -2*l - 4894890 + 4894903 = 7*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2261 (base 9) to base 10\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*z + 24, -1 = 4*g - 2*z - 15. Differentiate -a + 0 - 2*a + g*a + 2 wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from pghpnpphppkhppgpphhg?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 160619647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 120, 313, 666, 1233, 2068, 3225?\nAnswer: 4758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -45298505 divided by 35\nAnswer: -1294243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*z + 64270 - 64270 - 439*z as a*z + d and give a.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-203 - 3\/(-1)) + (0 - 0). Let y = f - -579. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uks when three letters picked without replacement from essiussk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**(-1)*t*t**4*t)\/((t*t\/((t\/(t*t\/(t\/(t**(-1)*t))*t))\/t))\/t*t)**(-1\/13) assuming t is positive.\nAnswer: t**(134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y - 11039 = -61523. What are the prime factors of y?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 11. Find the common denominator of -2\/3 and 1 + (-13)\/w - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -32, 0, 3, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in 0.5, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 0)\/((-2)\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -69. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*z - 36, 46 = 5*d + 2*z - 25. Suppose -d = -3*u - 0. Let x = 14 - 10. Sort x, 3, u in descending order.\nAnswer: u, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 0 + -5*sqrt(19)*2.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from {q: 2, c: 3, v: 13, t: 2}.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(44)\/sqrt(4)) + (((1 + sqrt(11))*4)**2 - sqrt(11) - -2*(1 + sqrt(11))) + 1 + sqrt(33)\/sqrt(27) + 2 + -2.\nAnswer: 103*sqrt(11)\/3 + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 10*p - 3. Let z be u(-10). Let w(i) = 2*i**2 + 3*i - 2. Let y be w(z). Let c = y - 4. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*p = -144, 0*p = 2*b + 5*p - 44. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3 - 4 + l + 5. Let p(o) = -2*o + 3. Suppose 4*d + 3*i + 0*i - 15 = 0, -4 = -4*i. Let s(b) = d*r(b) + 2*p(b). What is s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/4 of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40673*b*k**2 - 3413786*b + 24*k**2 wrt k.\nAnswer: -81346*b*k + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - -3. Let w = 5.06 - 5.04. Which is the closest to w? (a) l (b) 1\/2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 2, n: 4, o: 8}. What is prob of picking 1 o and 1 n?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 195581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281*t - 280*t + 38*t**2 - 277*t + 838*t + 2 to x*t**2 + k + r*t and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4\/2 - l**2\/2 + 5*l. Find the first derivative of q(d) wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 204 = 5*a. Let g = a + 99. Let t = g - 0. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 3. Let t(q) = q + 5. Let x(v) = -10*g(v) + 6*t(v). Let l(r) = 2*r**2. Give l(x(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20221212 - 1112?\nAnswer: 20220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.03 - -4. Let f = y + -0.05. Let v = f + 0.08. What is the closest to v in 0, -1\/4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1150 - 1149. Let z be ((-4)\/(-6))\/(6\/45). Suppose 0*y - 2*y = 2*q - 16, z*y + 30 = 5*q. What is the lowest common multiple of q and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, -31, -46, -41, -10, 53, 154, 299?\n\"Answer: c**3 + c**2 - 39*c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + 5*b**4 + 5*b**4 + (0*b**2 + b**2 + 0*b**2)*(-2*b**2 + 4 - 4) - 3*b + 3*b - b**4 - 34*b + 34*b + b**4.\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**3 + 504856*v**2 + 15928459120*v - 95588930400 = 0.\nAnswer: -63110, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*i + z, -3*i = -4*z - 4 - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 12*s**2 + s + 17. Suppose -5 - 7 = g. Let k be d(g). Suppose 0 = -k*c + 6*c. Which is bigger: c or -1\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6)*(-12)\/2. Let m be 1 - n - (-31 + 4). Let j = m - -5. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1108 divide 187021536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p**0*p))**(-5\/8))**(-2\/117)\/((p**(-1))**(-7\/4)\/(p**(-3)*p*p**(-1\/3))) assuming p is positive.\nAnswer: p**(-1901\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -18. Let y = 83 + -28. Suppose -y*t - 5 = -54*t. Which is the second smallest value? (a) i (b) 2\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c. Let q(p) = 17*p**2 - 8. Let g(l) = 611*l**2 - 286. Let z(m) = 4*g(m) - 143*q(m). Calculate z(u(b)).\nAnswer: 117*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18343170 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (64\/20 - 3)*5. Calculate the highest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4800? (a) -3 (b) -0.3 (c) -5 (d) 0.2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 384*w**3 - 4*w + 11700?\nAnswer: 1152*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02363 + 0.34493. Let y = c + -0.0603. Round y to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 3, x: 2, z: 1, i: 1, u: 3}. What is prob of picking 1 z, 1 u, 1 f, and 1 a?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/60 - 2*i**4\/3 + 4*i**3 + 11*i**2. Let m be y(14). Sort -1, m, 4 in decreasing order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h - 3 = m, 4*m = -h + 22. Solve 0 = -k + 5*d - 2*d + m, -5*d - 6 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i + 826 = 25*i - 104*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -0.248.\nAnswer: 0.00992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 2 + 2 + 2 + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 10:03 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 31201020 (base 4) to base 9\nAnswer: 83850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1732 + -1739. Which is the second biggest value? (a) 0.1 (b) 1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/165 in 181\/9, -3\/8, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 117040, -2, -83?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -15 (b) 0 (c) -1247 (d) 0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.176 - 0.102.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*2*((sqrt(325) + sqrt(325) + -1*sqrt(325))**2 + 1).\nAnswer: -3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -67*u**2. Let m(s) = -444482*s. What is m(g(l))?\nAnswer: 29780294*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/100)\/((2\/(-12))\/((-41)\/(-1107))).\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*q + 2*q. Suppose -3 = -4*o + 5. Let j be (7 + (2\/2 - (-20)\/(-2)))*-2. Solve o*a - j = 2*m, 18 = -q*m - a + 2*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -140 - -142. What is the nearest to 24 in -4, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1018 = -264*f + 231 - 269. Let w(c) = -5*c**2 - 17*c - 3. Calculate w(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1\/6 (c) 382\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(85) + 3*sqrt(85)*-2 + (sqrt(85) - (sqrt(85) + 1*(1*sqrt(85) - sqrt(85))))))\/((5*sqrt(5) - sqrt(5))*1 - sqrt(720)*1).\nAnswer: 15*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j - k, 2*j - 5*j = 3*k - 12. Suppose 2*b - 1 = b - 2*n, -3*b = -3*n - 39. Calculate the remainder when b is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5937 + 1503 = 5*b. Suppose 0 = t + 3*t - 4*w - b, 0 = 2*t + 2*w - 764. What are the prime factors of t?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 1 - (-1 + (-15 - -5)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88.54793 - 88.49. Let c = -722.64207 - j. What is c rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6748.488us?\nAnswer: 0.006748488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010202011001 - -102101?\nAnswer: -2010201201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 15 = 17. Suppose 8*j = 4*j + b. Solve -j*k + k = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222022 (base 3) to base 14.\nAnswer: -b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4667 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 smaller: 143 or 152?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 27*g + 18 = 0. Solve -p = -3, -2*w - g = w - p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-99)\/22)\/(-9))\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 5*r, -3*r - 46 = -w. Suppose w = -0*b + 2*b. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13)*-4)**2*1.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 3*x. Suppose 0 = -x*i + i. Suppose i = -9*y + 4*y - 15, 0 = -5*g - 3*y - 4. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a*a*a**0*a))\/(a**0\/a*a*a*a))**(-26) assuming a is positive.\nAnswer: a**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5456\/2180 - (-96)\/(-80). Is 0 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(40)\/sqrt(4)*-1))\/(2*(sqrt(128) + -2*sqrt(128))).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 110317068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5438 divided by 105.\nAnswer: 5438\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Let h = -4.98 + k. Let r = h - 5.02. What is the smallest value in 0.3, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -590216 and 2041719.18.\nAnswer: 1451503.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 + -88. Let l be (-2)\/5 + 2\/(-20). Which is the biggest value? (a) o (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7500 + 7514. Let h(y) = 3*y**2 - 3*y + 6. What is the remainder when h(6) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 20. Let w = 3 - n. Let t = -10 + w. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 31 + 15 = 0. Suppose 0 = 2*p - p + 3*v, -p - v = -c. Suppose -2*l = 3*l - 10. Solve 4*h + l*d - 32 = -2*d, 0 = 3*h - 3*d - p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from vwvvvwwvvvv.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11700 and 1287.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 1. Let r(y) = 6*y + 13. Let g(m) = 2*r(m) + 18*w(m). Let q(c) = -4*c**3 + 36*c**2 + 6. Let p be q(9). What is g(p)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1 - 49 = t, -8 = -2*o. Suppose -u - 4*u - 100 = 0. Let c = u - t. Calculate the lowest common multiple of 2 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/314083952 and 43\/12558.\nAnswer: 942251856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/((-5)\/(365\/6)) and 14\/(-21)*(-8)\/(128\/(-996))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 19*k - 12. Let r be i(2). Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33368 = 2*u - 3*i, i = -75*u + 73*u + 33360. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0 in decreasing order.\nAnswer: 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27600 = -4020*g + 125160 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228261926 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*s - 105*s = -59735. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36074576, 36074583, 36074596, 36074615?\n\"Answer: 3*k**2 - 2*k + 36074575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(66)\/sqrt(11)) - (sqrt(5) - (-2 + 3*sqrt(5)) - sqrt(5) - sqrt(5)))**2.\nAnswer: -20*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 482 and 7953?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78) + sqrt(78) + sqrt(78) + (sqrt(78) + 2*sqrt(78))*1 + sqrt(78) + sqrt(78) + -2*-1*sqrt(78))\/(sqrt(864) + 3*3*sqrt(864)) + 1.\nAnswer: 11*sqrt(13)\/120 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 36. Let v(i) = o + i + 0*i - 3 + 0*i. Calculate v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, j: 2, i: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0.4 (b) 0.23 (c) -0.01 (d) -5 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -778 divided by 2?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 472*s + 3921. Let y be g(4). What is y rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.542 take away 0.5?\nAnswer: -45.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 25877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 848 - 228 = 0. Let b = r + -8. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30213\/4088 + -9\/4088. Let m = f + 29\/4. Suppose -13 = d + 2*p, 0*p = 4*d - p + 16. Which is the third smallest value? (a) d (b) m (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107.9145 - 0.7955. What is y rounded to 0 dps?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 4*d - 6*d)*(-3 + 3 + d**2)*(1 - 3*d - 1).\nAnswer: 15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + b**2 + 393*b - 397*b to the form c*b**2 + o*b + r and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, -1\/8, 1\/3, -1\/3, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2\/69, -2\/17 in increasing order.\nAnswer: -2\/17, -2\/69, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 276472.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33805*b**3 + 159*b**2 + 2480179*b wrt b.\nAnswer: 202830*b + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15455 (base 6) in base 9?\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ttpfjpfj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - 46 = 0. Let s = 44 - 79. Let g = s + 51. Calculate the remainder when p is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 126\/(-161) + (-6)\/(-3). Let d = x + -58\/161. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 804848?\nAnswer: 804842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -295911\nAnswer: -1\/4697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164 + 163.9999511. What is k rounded to six dps?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 13) in base 11?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*350285.\nAnswer: -70057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221*d**2*x**3 + 510*d**2 - 2*d*x**3 - 2*d*x**2 + 13*d*x - 132*x**3 - x**2 wrt x.\nAnswer: -1326*d**2 - 12*d - 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.146417321 at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -2\/29, 10, -4 in ascending order.\nAnswer: -4, -2\/29, 10, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y**5\/7 + 36*y**4 + 1012*y**3\/7 + 156*y**2 + 324*y\/7 = 0. What is y?\nAnswer: -27, -3, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 186 + -66. Let v = q - 95. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 24 = 109. Suppose 0 = 3*j - y - 2*y - 21, 3*y + k = j. Let l(i) = i**j - i**2 + 2*i**2. Let w(a) = a**2. Calculate w(l(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8247 = 38*d + 119*d - 4026 + 969 for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3980 is divided by 990.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttottotooto. What is prob of sequence ot?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1 + (-8)\/(-10)). Suppose z*f - 65 - 105 = 0. Suppose 0 = 4*m + 20, -i - 5*m = -4*i + f. Solve -5 = -i*s + 2*d, 8 - 17 = -s - 3*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + -3 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-129)\/(-215) - (-8481)\/(-14560) and -59\/22?\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26195914*j**4 + 56891*j**2 + 249*j wrt j.\nAnswer: 628701936*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 35 + 31. Let a = -397 + 17070\/43. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1892 and 22519530?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03074 * -0.5\nAnswer: 0.01537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177086, -708329, -1593734, -2833301, -4427030?\nAnswer: -6374921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104485, -417939, -940363, -1671757, -2612121, -3761455?\nAnswer: -5119759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvaawvv. Give prob of picking 1 w and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d**2 - 2 + 9*d**2 + 0*d**3 + 3*d - d. Calculate p(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7458*w = -7575*w + 438 + 1083 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 21*s**2 + 93*s - 162. What is r(-7)?\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 24 = -4*o + 4*d, -5*o + 24 = 4*d. Suppose 0 = -o*y + 3*y + 35. Let x = y - 4. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2. Suppose 0*y + 3*y - 9 = 2*d, 5*d - 2*y = -6. Let z(h) = 4*h - 2*h + d*h. Calculate s(z(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**2 + 13*w - 2. Let j be p(-2). Let b(l) = l**2 - 3*l + 1. Suppose 3*g = -2*g + 20. Let d be b(g). Put d, -1, j in descending order.\nAnswer: d, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 23*w + 86. Let m(k) = -23*k - 84. What is 6*m(r) + 5*n(r)?\nAnswer: -23*r - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 18*h + 238. Let v(c) = 2*c**2 + 35*c + 473. Let g(r) = 9*l(r) - 4*v(r). What is the hundreds digit of g(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -2 + (0 - 0). Let b(x) = 2*x + 1 - 2*x**2 + 5*x**2 - x**3 + 2 + 0*x**u. Give b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*m - m + 21, 0 = 2*q - 2. Is (-4)\/m + (-282)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 4*u**2 - 3*u)*(-514536 + 514536 - 762*u) to the form v*u**2 + m*u + p*u**3 + x and give p.\nAnswer: 3048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -58 (b) 0.1 (c) -1\/3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6 - 19. Suppose -29*w + 1764 = -j*w. Find the second derivative of w*b**3 - 13*b + 2*b**2 - 438*b**3 - 2*b**2 wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, 1\/2, 0.11, -2, 183, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 3*n + n)*(-224 - 232 + 443) + (4*n - n - 4*n)*(-1 + 0 + 4).\nAnswer: 49*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 6*y - 10. Let n(h) = -h**2 - 13*h - 21. Let c(s) = 6*n(s) - 13*r(s). Let a(t) = 57*t**2 + 33. Let u = -22444 - -22411. Give u*c(f) + 4*a(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - y - 35 = y, u + 5*y - 23 = 0. Let n be (-18)\/(-15)*(-520)\/(-12). What is the greatest common factor of n and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 214*o**2 - 553*o + 25519. What is d(216)?\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**3\/5 - 4873514*s**2 + 48735126*s\/5 + 73102698\/5 = 0.\nAnswer: -1, 3, 12183783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 - -2) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - 8*u - 29. Let s(x) = 2*x**2 + 4*x + 14. Let v(p) = -3*b(p) - 5*s(p). What is the tens digit of v(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 15, 92, 5.\nAnswer: -4, 1, 5, 15, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1572 + -420. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2776957 is divided by 594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 390*d - 5656.\nAnswer: (d - 14)*(d + 404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.725 + 6.7231789. What is d rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104308949?\nAnswer: 104308949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -81, -307, -753, -1491?\nAnswer: -2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250249905 to the power of 1\/2, to the nearest integer?\nAnswer: 35359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20804330*b**4*d**3 + b**4*i - b**2*d**3 - 2*b**2*d*i - 13*b**2*i - 2*b*d**2*i + 2*d**3 - 9813*d**2 - 5*d*i wrt b.\nAnswer: -499303920*b*d**3 + 24*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 53*b - 1. Calculate y(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:29 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3752, 15120, 34064, 60554, 94560, 136052, 185000, 241374?\nAnswer: 305144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 155 = -5*y, 18 = 2*o + 28. Solve 12*h + 2*m = 16*h + 24, 4*m - y = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.08, 1, -4, 0, -2\/83?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f - 18 - 6*f - 11 - 158 - 7*f**2 as p*f**2 + g*f + s and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (2 - (19 - ((1 - 1) + 4)))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44 and 38\/8101.\nAnswer: 8101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60805706 to the nearest integer?\nAnswer: 7798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(33)\/sqrt(3)*3)**2 - ((0 + sqrt(396))**2 + -1)) + 4 + (-3 + sqrt(11)*-1)**2 + (1*(-1*sqrt(66) - sqrt(66)) + sqrt(66))\/sqrt(6).\nAnswer: 5*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/6))**(-4\/21)\/(((f**(9\/5)\/f)\/f)\/(f**(-4)*f)) assuming f is positive.\nAnswer: f**(-892\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j - 1. Let l be y(3). Suppose 5*w = -12 + l. Solve 2 = -2*i - 4*m - w, -2*i + 5*m = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-838)\/(-8)*((-574)\/(-13) + 6\/(-39)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -929908 divided by -4\nAnswer: 232477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/365 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) 4 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -277 + 284 - 2*a**4 - 2*a**3 + a**4 + (2*a + 6*a - 5*a)*(5*a - a - 3*a)*(-2*a**2 - 3*a**2 + 4*a**2).\nAnswer: -4*a**4 - 2*a**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*x - 151*x = 9*x + 162*x - 7157 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*b + 3*x, -4*x + 0 = -5*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10999?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*22\/11*(-37)\/(-518)*-14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 85126.7059.\nAnswer: 85125.7059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v - 1. Let t(k) = 29*k - 2. Let n(x) = 17*r(x) - 6*t(x). Is n(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.2*-0.17\nAnswer: 2.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -34142, -34804, -35492, -36218, -36994, -37832, -38744?\n\"Answer: -2*i**3 - i**2 - 645*i - 33494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89 - -657?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 470 + -2353\/5. Which is the closest to 0? (a) 0 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 258825 = -6*o. List the prime factors of o.\nAnswer: 3, 5, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592709598 to the power of 1\/2, to the nearest integer?\nAnswer: 24346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -434*l - 4 + 5 + 329*l - 4 + 2*l + 4 - 2*l + l + 2*l + 1 - 1 + l + l + 0 + 0 + (-1 - 2 + 4)*(-2 + l + 2) + 0*l + 6*l - 4*l.\nAnswer: -97*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l**2 + 7*l - 37. Let j(f) = -8*f**2 + 5*f - 38. Let a(n) = -6*j(n) + 7*s(n). Calculate the remainder when 48 is divided by a(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*-4 + sqrt(684))*5 - sqrt(684))**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-166)\/1655269*-49?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54453, -218756, -492601, -875994, -1368941, -1971448?\n\"Answer: -y**3 - 54765*y**2 - y + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -776842*u**4 + 4*u**3 - 2*u - u**3 + 776840*u**4 + 29*u**2 + 10*u**3 in the form v*u**2 + s + h*u**4 + o*u + b*u**3 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 396 = 4*h, 0 = 4*b - 9*b + 2*h + 481. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + ((sqrt(396) - 5*sqrt(396)*-2)**2 - sqrt(396)) + sqrt(396) + (-1*sqrt(396) - sqrt(396))*-6.\nAnswer: 78*sqrt(11) + 47916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(1*1\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 350.535 to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 110.4. Let w = -9 + v. Let z = -1 - -0.5. Which is the closest to -1? (a) w (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + -1.4. Let j = n - -1. Which is the biggest value? (a) j (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -90 - 180. Calculate the remainder when (2 - 3)*j + -1 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 450. Suppose 2 = i, -4*b + 9*b - y = -5*i. Let w = b - 46. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48756559 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.0223?\nAnswer: 0.0446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-9)\/(-2))\/3)\/((-18)\/(-24)). Suppose -4*k = 4*w + w - 548, v*k - 274 = -w. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 - 134.1. Let t = -4 + 6. Suppose -t*b + b - 1 = 0. What is the nearest to b in v, -1\/4, -2\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 - 9420072*z**2\/5 - 2218449564162*z - 13310629560540.\nAnswer: -2*(z + 6)*(z + 2355015)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518 divided by -14.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*c - 13, 2*y - 15 = -5*c + 10. Suppose 3*b + y*u = -10, -u - 6 + 1 = 0. Solve -1 = 5*p + 3*v + b, 4*p = 3*v - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = -1. Let g = -14 - -30. Let i = g + j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6239\/590 - 53\/5. Let n = 275\/1534 + z. Sort 2, -5, n in decreasing order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -4*n**3 - 16*n**2 - 50*n - 16. Let o(b) be the first derivative of g(b). What is the derivative of o(f) wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 200 = 18*d. Let b = 37 + d. Is -11 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqnn when four letters picked without replacement from {q: 2, n: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 94690.94s in microseconds?\nAnswer: 94690940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a + 2. Let t(j) = 5*j - 3. Let m(n) = 3*b(n) + 2*t(n). Let u(z) = 5*z. Determine m(u(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 13*t - 11*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 818783009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = -4*i + 125*q - 425, 262*i + 16 = 259*i - 4*q for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 16928*b**2 - 2*b - 8466*b**2 - 2 - 8460*b**2. Determine j(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(272) + -6*sqrt(272)*-4 - sqrt(272)) + sqrt(272) + sqrt(272) + sqrt(272))**2 + 3 + (-4*sqrt(1088) - sqrt(1088)) + 5 + -5.\nAnswer: 824*sqrt(17) + 198307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*j - 250 = 124*j + 281 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4900 and 325276?\nAnswer: 56923300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/17448 and -143\/1033794.\nAnswer: 4135176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -161\/2, 0, -6248?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(35) - sqrt(140)\/sqrt(4)))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - 1243985?\nAnswer: -1243958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455560053?\nAnswer: 3, 13, 463, 25229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18692?\nAnswer: 2, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222762750 and 42431000?\nAnswer: 891051000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378*t + 25 = -1383*t, 5*t = 17*h - 229 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = -c + 456. What are the prime factors of ((-3)\/c)\/((28\/(-152))\/7)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58700848 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 13*g**2 + 7*g**2)*(-g + 4*g**2 + g) - 3*g**4 - 2*g**4 + 3*g**4.\nAnswer: -38*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 3}. Give prob of sequence dc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 6:03 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(0*f - 2*f - 3*f)*(-2 - 2 + 2)*(4 - 5 + 3).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 4, -0.3, 2\/15, -200?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-100)\/(-15)*12\/(-10). What is the units digit of 74 + u\/4 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4 + 43*y**3 - 175*y**2 - 3675*y = 0?\nAnswer: -7, 0, 15, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -2, -4 in increasing order.\nAnswer: -156, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 55\/3*k**4 + 2*k + 5*k**2 - 49\/3*k**3 - 43\/5*k**5 - 2 + 1\/3*k**7 + 13\/15*k**6. Determine h, given that q(h) = 0.\nAnswer: -5, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20324?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 1)*(-5*p**4 + 2*p**5 + 5*p**4 + (-2*p - p + 2*p)*(p**4 - 4*p**4 - p**4) - 27*p**5 - 46*p**5 + 56*p**5).\nAnswer: -44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1282 (b) 1\/3 (c) -2\/1151 (d) -5 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/175*-5*((-45)\/6 + 10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 1 - 14 - 4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -3\/14158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 4*s**2 - 39*s + 113. Calculate q(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163486599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 95*z**2 + 550*z - 43556. What is w(96)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:06 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9683\/656 - 864\/41. Calculate the common denominator of ((-545)\/(-90))\/(2\/(-3)) and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1487 = -4*l - q, -4*l = 4*q + 44 + 1452. Let d = -170 - l. Is d\/(-6)*2\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by -51.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2998 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6631 (base 8) in base 15?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -13. Suppose 0*o = -3*o - 3*a + 1332, -8 = c*a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 9 - 2 - -1. Suppose 0 = 2*b + o*w + 1 - 80, 4*b - 5*w = 103. Is 433206\/102 - (2 + b\/(-17)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*u + 2816 = -32920, u - 53590 = -3*w. Is 185 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19766, 1, -165 in increasing order.\nAnswer: -19766, -165, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -215, 10 in ascending order.\nAnswer: -215, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 + 153 = 0. Let r = -33 - v. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + 1)*(-102)\/4. Let t = -150 - h. Put -12, t, -1, 1\/3 in decreasing order.\nAnswer: t, 1\/3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2 - 2. Let x(r) = 77*r - 1003. Let t be x(13). Determine q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.229350966 to four decimal places.\nAnswer: -0.2294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -473039309, -473039308, -473039307, -473039306, -473039305, -473039304?\n\"Answer: l - 473039310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 55*u - 1234. Let p(x) = -21*x + 617. Give -2*n(w) - 5*p(w).\nAnswer: -5*w - 617","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -765 - -1205. Is a a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1634 = 24*w + 194. Suppose 13*y - 17*y = -4*g - 36, 5*g + w = 2*y. Put -2, 4, g in decreasing order.\nAnswer: 4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133513231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 990, 3906, 8760, 15546, 24258?\nAnswer: 34890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4, -3*v + 8 = -5*v - 4*k. Let l be v - 1 - -2 - -2. Suppose 0*n - 5*n - 5 = -5*z, -2*n + 13 = l*z. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140576.94s in minutes?\nAnswer: 2342.949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 12 - 63 = 0. Let h be (-1 + (-24)\/3)\/m. Which is smaller: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = r + 3*r + 37, -4*r + t = 17. Let y be (-2)\/6 + (-13)\/r. Suppose -5 = -4*a + 2*q + 13, 0 = a + y*q - 27. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5070698646 to the power of 1\/2, to the nearest integer?\nAnswer: 71209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -42*w - 30. Let t be (1 - 35\/15) + (-10)\/(-30). Let q be v(t). Solve 2*a + 16 = 4*p, -3*a + 6*a = -q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -23*l + 6*l. Let q(g) = 2*g**2 - 5. Let n(r) = r**2 - 2. Give l*q(f) - 15*n(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26884?\nAnswer: 2, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -16*r + 106. What is the remainder when 2\/(-6) + (-194)\/(-6) is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4617456 and 1254?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 204. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5*p - 4 = 11, -l - p - 7 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -821, -3971, -9217, -16559, -25997, -37531?\n\"Answer: -1048*k**2 - 6*k + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sllljullslyussssusl. What is prob of picking 2 l?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.053, -1\/4075, -31, -2 in ascending order.\nAnswer: -31, -2, -1\/4075, 0.053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208\/9150433 or 0?\nAnswer: -208\/9150433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 141155*j - 282290.\nAnswer: -5*(j - 28229)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 4*z + 4. Let a(n) = n. Calculate -2*a(p) - d(p).\nAnswer: -p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79223 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19856850 divided by 599?\nAnswer: -33150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2627*j**3*r**2 + 301*j**2*r**2 wrt j?\nAnswer: -15762*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -10*t - 4. Let s be k(-3). Suppose -3*c - 6 = 2*f + 2, 3*f - 5*c = s. Suppose -f*u = -5*u + 6. What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 divided by 6?\nAnswer: 461\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 419, 858, 1307, 1772, 2259, 2774, 3323, 3912?\n\"Answer: l**3 - l**2 + 435*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90366?\nAnswer: 2, 3, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25339?\nAnswer: 25339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 2*v**2 + 8*v - 4. Determine m(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*u - 2. What is the remainder when 39 is divided by (2\/(-3))\/(u\/90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpmuqjumuzjm. What is prob of sequence jj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31148.24 + 4723.41.\nAnswer: 35871.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Let r be z(2). Let s be 4\/8*(0 + 0). Solve s = -5*k + r*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {o: 10, v: 5, w: 1, n: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4705 + 4708. Solve 3*x - b = -a*b + 15, -5*b = 5*x - 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162690 and 4794?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -53\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*s**3 - 4200*s + 60*s**2 + 98000 = 0. What is s?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 70*d + 184 = -992 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**4 + 120*b**3 = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/8 - 180813*g**2\/4 + 29638203*g\/8 - 151869945\/2.\nAnswer: 3*(g - 120460)*(g - 41)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + i = 132, -3*i + 78 = -2*v + i. What is the nearest to 0.5 in v, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 18423*c - 997750. What is o(54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/35 - (-56)\/(-98)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -261586.133 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 2. Calculate a(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 968. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*o + 983*o + 1342*o - 84996 = 418*o for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 578192911 to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5657709.\nAnswer: 3, 401, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*o + 30. Let n(y) = 0*y - 6*y + 10 + 2*y - 1. Let a(u) = 6*u - 14. Let c(h) = h**3 - 2*h**2 - 1. Let s be c(3). What is o*a(l) + s*n(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*s + 912735 = -22*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 - 8*h**2 - 2 + 5*h**3 + 18*h**2 - 3*h**3 - 5*h**4 - h**3 to the form q + c*h**2 + u*h**4 + j*h**3 + l*h and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2537592989 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -62.2, -5\/3 in ascending order.\nAnswer: -62.2, -5\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 402*n - 398*n - 536. Let o(v) = -v**3 + 2 - 7*v**3 + 4*v**3. What is the remainder when n is divided by o(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 261, 312, 383, 474, 585, 716?\nAnswer: 867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*k*r - 121*j**3*p**3 + 2*j**2*k*p**2*r - 2*j**2*p**3 - 2*j*k*p**3*r - 4*k*p**2*r wrt j.\nAnswer: 6*k*r - 726*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 850 + -826. Solve 5*p - 11*p = y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449 = -3*k + 12*j - 7*j, -5*j = 2*k + 341. Let t = 405 - k. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 39140323 and -62.491.\nAnswer: 39140260.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(9\/(-669)) - 2. Let l be (-5)\/6*12\/g. Let m(o) = -o**2 - 1052*o. Let a be m(0). Is a bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2801*n + 2797*n = 2657914, l + 5*n = 1328922. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/4828 and -93\/578?\nAnswer: 82076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35742 (base 9) to base 5.\nAnswer: -1231213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((6 - 0) + (-6 - 351\/143))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 7*f - 15*f - 115.\nAnswer: -f - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1258 - 21.8742. Sort -3\/2, p, -0.3, 1\/5 in increasing order.\nAnswer: p, -3\/2, -0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 190.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - 15. Let f = y + 40. Sort f, -2\/5, 0.2, 7 in descending order.\nAnswer: 7, f, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -5*g + 3*n + 285, 2*g + n = 119. Let y = g + -48. What is the remainder when 165 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -163864 and 1781?\nAnswer: -291841784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o. Let i(v) = -83*v**2 + 31*v**2 + 23*v**2 + 33*v**2. Give k(i(x)).\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002727523516 rounded to 5 decimal places?\nAnswer: -0.00273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 53921209?\nAnswer: 161763627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42975 is divided by 5312.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*q**3 + c*q**2 + c - 105733*q**3 + 170267*q**2 wrt q?\nAnswer: -6*c - 634398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 112\/20 - (-21)\/(-35). Solve 0 = p*f - 8*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166 + -161 - ((-2 - (-1 - 2)) + -9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31470 (base 13) to base 5\nAnswer: -10314042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92684778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)**(-10\/9))**34*(v**0*v\/((v\/(v*v**(-2)*v))\/v))**(-29) assuming v is positive.\nAnswer: v**(-941\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58240, -58209, -58120, -57943, -57648, -57205, -56584?\nAnswer: -55755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3443 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1260)\/480*(-28)\/3)\/(-5 - 55\/(-10))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 960, 3857, 8672, 15399, 24032, 34565?\nAnswer: 46992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -2, 1.5, -1.79, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -69*z + 42. Let c be h(-3). Let q = c + -253. Let b(i) = -5*i**3 + 4*i**2 - 4*i - 3. Let u(g) = -11*g**3 + 9*g**2 - 9*g - 6. Give q*u(w) + 9*b(w).\nAnswer: -w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -919?\nAnswer: 2\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7573123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -420.79 rounded to the nearest integer?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 281, -19, 3, 5.\nAnswer: -19, -2, 3, 5, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - 25*k**2 - 6*k - 254. Determine b(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -14. Let n = 2.9 + d. Put 3, n, 4 in increasing order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + q**4 - 10*q**5 + (1 - 3 + 0)*(17 - 17 + 2*q**3 + 3*q**5).\nAnswer: -16*q**5 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/(-144) - (12454\/(-9) - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.86 and -0.078.\nAnswer: -0.53508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(80) + 2 - sqrt(80)*3*5)**2*3.\nAnswer: 672*sqrt(5) + 47052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 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: In base 4, what is -1230 - -2?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g + 1. Let h(p) = -22*p + 4. Let i(d) = 2*h(d) - 7*n(d). Let u(v) = -9*v - 2. Let s = -68 - -64. Calculate s*u(a) - 7*i(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1859806349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, 1\/5, 4, 3, 276 in increasing order.\nAnswer: -1, 1\/5, 3, 4, 24, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*o**3 + 1884762 - 1884762 + 32*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000225146 to 7 dps.\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 49*o**3 - 2*o**2 + 3*o - 5. What is the tens digit of l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 18 + -7 + -29?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 917 - 410. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3872106566.\nAnswer: 2, 1936053283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/8050512 and 11\/48.\nAnswer: 8050512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 172*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155 divided by -37075.\nAnswer: -31\/7415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**4 + 237*d**3 + 14387*d**2 + 40131*d - 54756 = 0.\nAnswer: -117, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/11 + 25440*i\/11 - 80899200\/11 = 0.\nAnswer: 6360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325525121 and 33027.\nAnswer: 11009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 14*j + 2*j**2 + 2*j**2 - 3*j**2 - 3 - 12*j. Let t be v(6). Suppose -u - 4*u = -t. Calculate the remainder when 15 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 2*b**3 - 13*b**2\/2 - b - 12. What is the tens digit of m(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -25*h - 375. What is the remainder when 79 is divided by s(-17)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpdplollpppdpopppp. What is prob of picking 2 p?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -523126.\nAnswer: -15\/523126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-20)\/5)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/10*2*-4. Differentiate 13*p**3 + 10 - v*p**3 - 8*p**3 with respect to p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 8*m + 92. What is the thousands digit of r(29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*h + 14 = -76*h + p, 0 = 3*h + 3*p + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -3. Let p(x) = 2*x + 5. Let f(t) = 8 - 2 - 2*t - 11. Let h(b) = s*f(b) - 3*p(b). Differentiate h(r) with respect to r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1155)\/(-13) + 2\/13. Let a = w - 53. Let f be (2\/4)\/(18\/a). Which is bigger: 1\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/15*(-10)\/8)\/(-2). Which is bigger: b or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/1187999?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -7, 3.\nAnswer: -7, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 3\/20*g**5 + g + 1\/12*g**4 + 0 + 0*g**3 + 0*g**2. What is the third derivative of m(u) wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-812)\/(-70)*30*30\/(-180)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5*l - 4*l + 4 - 37388*l**2 + 5 - 4.\nAnswer: -37388*l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101\/68 - -21\/17. What is the nearest to -1\/4 in 0, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 8 = -16. Let t be (4\/(-2))\/(3\/u). Let l(k) = 4*k**2 - 5*k**2 - 5*k**2 + t*k**2 - 1 - k. Calculate l(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 w when four letters picked without replacement from jwjjjjjwjjjwjjj?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-5)*(182 + -7))\/(-2). Suppose 0 = 2*v + 2*v - 336. Let o = v - w. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2. Let o be ((-4)\/(-12))\/(2\/12). Let x be q(o). Solve -2*p = -5*p + x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -16*t**2. Let d(u) = -115000*u**2 + 3*u + 1. What is d(n(o))?\nAnswer: -29440000*o**4 - 48*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42379\/6 + 7080. What is the common denominator of 2 - (2 - (-275)\/(-40)) and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -3.2. Let z = 29 - 8. Let g = -20 + z. Sort y, -2\/11, g in decreasing order.\nAnswer: y, g, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 21*v**2 + 3306*v + 57215. Give t(-17).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811769481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 6*k - 44. Let o be f(11). Suppose -15*i = -o*i - 792. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -23*d**3 - d**2 - 4*d - 3. List the prime factors of a(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -197?\nAnswer: 78.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.036 - -42.036. Let z = 62 - l. Let x = 3 + -2.8. What is the second biggest value in x, z, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 0.4, 334?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -125, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 + 4*f - 12. Let z be a(3). Let s = 71 + z. Calculate the greatest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 + 2*o + 1. Let a be d(-1). Let f be 68\/(-12) - 2\/a. Let p = f - -32. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11281, 8541, 5801, 3061, 321?\n\"Answer: -2740*w + 14021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -40.7896769 times -0.5\nAnswer: 20.39483845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 20*b - 4. Let u be d(-14). What is the units digit of (1 - 2)*10\/(u\/(-648))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.048471 - -707.041529. Let a = 707 - m. Sort 0.5, 0, a, -2\/3.\nAnswer: -2\/3, a, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16 + 17 - 34. Let a(q) = -4*q**2 + 1. Let c be 6\/21 - (-24)\/14. Let k(d) = c*p(d) - a(d). What is the derivative of k(u) wrt u?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*w + 5*s, 6*s + 2 = 2*w + 2*s. What is the derivative of -33 - 20*d**4 - 7 + w wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + (sqrt(5) + 1)*4)**2)*-5.\nAnswer: -390 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + n - 1. Let h be s(1). Let j = 384 + -186. Suppose 29*t - 7*t = j. Calculate the highest common divisor of h and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 46?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11bc7 (base 13) in base 7?\nAnswer: -164366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4178.024um in meters?\nAnswer: 0.004178024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 9. Suppose 5*n = -3*y - 3, -2*n + 4*y + 3 + 1 = k. Suppose n = j - 58 - 5. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*r + 7*h - 60, 2*r = 5*h + 26. What is the units digit of (-627)\/(-27) - 4\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 13\/2, -56.3, 3 in increasing order.\nAnswer: -56.3, -2, 3, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4536109 is divided by 428?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*2\/(-6) - 2. Suppose -11*m + 7*m + 28 = x. Sort 0, m, 3 in descending order.\nAnswer: m, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*y**2 - 200\/9 + 4*y**3 - 412\/9*y = 0. What is y?\nAnswer: -50\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 47 = 17. Suppose 0 = 3*p + x + 6, -6 = -p + 4*p - 2*x. What is the least common multiple of j and (6\/9)\/(p\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 13*j**4\/12 - j**3 + 660*j. Let m(h) = -h**2. Give m(z(y)).\nAnswer: -169*y**4 + 156*y**3 - 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 6 = -21*k + 9*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/27 (b) -0.4 (c) 10\/13 (d) 3656 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60107 + 57716 = 46*s - 28319. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 112*q - 384. What is the remainder when c(19) is divided by 299?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3109777 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = s. Let h = 3 + s. Suppose -6 = -2*f - h. Solve 0 = -4*c - 4*r + 8, r - 7 = -f*c - 0*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -3\/11, -5, 0.1, -14, 8122?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943384 is divided by 471333.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, -9, 4.\nAnswer: -9, -4, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*f - 4*f + 4*u, 5*f - 2 = 4*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(300)*-3*6 - sqrt(300))*3)**2.\nAnswer: 2280*sqrt(3) + 974704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.7093 microseconds to seconds.\nAnswer: 0.0003517093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 1545214?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from {k: 2, j: 2, o: 2, s: 2, c: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.77 - -160.82. Let o = q + -111. What is o rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 10 = -4*g - 5*t, 3*g + 86*t + 178 = 40*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -27*v**2. Let p(g) = g**3 - g**2 + g - 7. Let b be p(2). Calculate y(b).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (9 + (-154)\/(-56) + -12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k - 10. Calculate i(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.1*-0.781.\nAnswer: 14.1361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*t**4 + 5\/3*t + 1\/2*t**2 - t**3 + 0.\nAnswer: t*(t - 5)*(t - 2)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -44. What are the prime factors of n\/9 + (91 - 1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:51 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ysysttulaataytyaytla. Give prob of picking 1 l and 3 a.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5 + 14*c - 4)*(-62 - 30*c**4 + 62).\nAnswer: -330*c**5 - 30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -15*x - 48. List the prime factors of 14451\/45 - x - 2\/15.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69760 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29989303571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**3 - 1006*d**2 + 2*d - 12. Calculate c(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -7*x**2\/2 + 3. Let g be a(-1). Solve -c + g = s + 3, -s - 4*c + 19 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/12*(10 + -1). Is -13 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*p + 12*p = 85*p - 777 - 279. Determine f, given that -72\/5*f**3 - 6\/5*f**5 + 78\/5*f + 8*f**p - 36\/5 - 4\/5*f**2 = 0.\nAnswer: -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-31)\/(-4) + 4\/16. Let d be w\/12*51\/(-2). Let f = d - -27. Solve -2*r + 3*s + 9 = -4*r, -2*s - f = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10891*j - 3628*j - 3629*j - 3633*j. Let v(q) = 35*q + 0*q - 3*q. Give x(v(w)).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.21644 years in decades?\nAnswer: 7.121644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7286*0.06006.\nAnswer: -0.223939716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 25*k - 197. Let i be c(7). Is i < 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12100*c**3 - 1399751320*c**2 + 101800144*c - 1850912 = 0.\nAnswer: -115682, 2\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z\/(z*z**(-1\/4)))\/z)*z)**(-29)*z**7*(z*z**(-4)*z*z)\/z)\/((z*z**(-1)*z)**18*((z\/(z**(1\/3)*z))\/z)**38) assuming z is positive.\nAnswer: z**(-157\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 21 + -24 + 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.074435 to 2 decimal places.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/3 + 2775518*d**3\/3 + d**2 - 8326556*d\/3 + 5551036\/3 = 0. Calculate d.\nAnswer: -2, 1, 2775518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.917527 millilitres in litres?\nAnswer: 0.000917527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.109517 to three decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 3 + 11 = -2*a + 15 - 2, 4*z - 4 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67991203.16 + -67991576.1600079. Let f = -373 - z. Round f to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 3. Let t be w(1). Let f(h) = -h + 8. Let y be f(t). Suppose 38 = 5*c + 2*u, y*c - c = -3*u + 21. Solve -5*j = -4*d - c, 5 = d - 6*d + 5*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(110)\/(-2*sqrt(396)))\/((sqrt(80)\/sqrt(4))\/sqrt(4)*-5))**2.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2228390 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -7. Let r = d - -4. Let f = -1.6 - r. Which is the third biggest value? (a) 1 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -41*p**3 + 14*p**2 + 42. What is the units digit of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6037 or 6036?\nAnswer: 6036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1780640, -3561282, -5341924, -7122566, -8903208, -10683850?\nAnswer: -12464492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 5:58 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 520515*g - 520515*g + 1040954*g.\nAnswer: -76*g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = m - 23. Suppose 3*i = 42 + 6. Suppose 0 = -4*d + m + i. What is the greatest common factor of 72 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 - 164 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6030925.\nAnswer: 5, 317, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 97 + 188. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h - 4*r, -4*r + 15 = 2*h + 3*h. Let t = 1 + h. Suppose -2*o = -2*n + 10, -n = 2*o - 0*o + t. Sort o, -4, 0.\nAnswer: -4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i - 1. Let r be o(-3). Let g = 182 + -129. Let n = g + r. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -4604?\nAnswer: 4607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 11 = 3*r, 3*v = 3*r - v - 2. Let -3*i + 12 - 4*i**2 + i**r - 6 = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1014*-412.\nAnswer: 41.7768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 28 + 2*i - 29 - 5*i. Let s(m) = 2*m + 1. Determine -4*r(p) - 5*s(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 225580*i - 68750?\nAnswer: 225580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00484 to four dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -856*v - 2158. What are the prime factors of h(-5)?\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014550 is divided by 1145?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0*q**5 + 40*q + 0*q**6 - 1 + 0*q**2 + 13*q**3 + 0*q**7 + 15\/7*q**8 - 1\/12*q**4. Find the third derivative of b(m) wrt m.\nAnswer: 14400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1372, 1\/2, -0.3, 0.2, -5 in increasing order.\nAnswer: -1372, -5, -0.3, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n*n**21))\/n*n*n)\/n)\/(n\/n**15) assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/18 + (-125)\/(-10). Solve -o*i + 60 = 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -38063155?\nAnswer: -38063155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) 2 (c) -4\/7 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(12\/13))\/(o*o**34) assuming o is positive.\nAnswer: o**(-454\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*r**2 - 6*r**2 + 12*r**2)*(-223*r**2 + 109*r**2 + 182*r**2).\nAnswer: 5236*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y. Let g(m) be the third derivative of 3*m**5\/40 + 16*m**3\/3 + 41*m**2. Let x(j) be the first derivative of g(j). Determine x(r(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o - 9. Suppose -3*f - 3*m + 27 = 0, -2*m = -4*f + 2*m + 20. Is h(f) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.017 - -153.883. Let z = k + -156. Which is the fourth smallest value? (a) 1\/5 (b) z (c) -4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -10.637964\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-471)\/(-628))\/(3\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -11, 5, 41, 103, 197?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8394798.6 seconds?\nAnswer: 2331.8885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 - 4*l + 14. Let c = -65 + 59. Let r be p(c). Calculate the greatest common divisor of r and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -14*d**3 - 21*d**2 - 33*d - 50. Let h(b) = 5*b**3 + 7*b**2 + 11*b + 17. Let t(k) = 17*h(k) + 6*w(k). Is 8 a factor of t(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-1 + 3)**2.\nAnswer: -18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -730 - -734. Solve 4*r - 5*v = -2 - 0, -f*v = -8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (23\/46)\/(10\/8). Put v, 3, 44.7 in decreasing order.\nAnswer: 44.7, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 20 = 2*x. Suppose -7 = 2*s + x*i, -3*s + 21 = -0*s - 3*i. What is the smallest value in 2, 7\/2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**4 + 2943*l**3 + 116676*l**2 + 988284*l - 4094640 = 0.\nAnswer: -940, -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 3:33 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1508, 2617, 3726, 4835?\nAnswer: 5944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -53*c + 5. Let k(p) = p**2 + 104*p - 9. Determine -3*k(t) - 5*u(t).\nAnswer: -3*t**2 - 47*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a - 16 = 0. Let x be 1 + (4\/(-10))\/((-90)\/(-225)). Suppose 2*h + 4 = -x*h - 2*s, 4*h - a*s = 8. Solve 3*l - 12 = -h*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 104877.4\nAnswer: -104877.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*z = -112*z. Solve -13*l - 27*l = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -21. Let f = a + -1. Factor -33\/5*i - 48\/5*i**f - 6\/5 - 21\/5*i**3.\nAnswer: -3*(i + 1)**2*(7*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, b: 14}. Give prob of picking 1 p and 1 b.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(1100))*-2)**2.\nAnswer: -2880*sqrt(11) + 158544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.1785568 nanograms?\nAnswer: 0.0001785568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/60 - p**4\/2 - 23*p**3\/6 - 15*p**2 - 2. Differentiate v(u) with respect to u.\nAnswer: -6*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 28 = 27*r - 22*r, -5*r + 25 = 0. Let h = 2.12 + -0.12. Let g = 0.2 + -0.1. Which is the nearest to m? (a) h (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, 2, 20, 40, 62?\n\"Answer: a**2 + 13*a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 12 = -4*y, -4*r - 3*y = 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29265979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757cc (base 13) to base 2.\nAnswer: 110011110100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, v: 2, i: 2, a: 1, x: 7}. Give prob of sequence axxb.\nAnswer: 49\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22333 divided by -7?\nAnswer: -22333\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -1112?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -22, -3, -622 in increasing order.\nAnswer: -622, -22, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/(-10))\/(30\/(-75)). Let c be (-11 + 9)\/(0 - b)*198. Calculate the highest common divisor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.4 + 4.2. Let g = j - -3.3. Which is the closest to g? (a) 2\/21 (b) 1 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 23 - 43 - 5*q + 43. Let x(z) = 3*z + 8. Let i be -2 + -1 + 2 + 12. Calculate i*x(v) + 4*r(v).\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + 3*m**5 + m**5 + (-m**3 + 0*m**3 - m**3)*(0*m + 2*m**2 + 0*m) + (-4*m**2 - 2*m**2 + 5*m**2)*(-m**3 - m**3 + m**3).\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 10*s**2 - 40*s - 23. What are the prime factors of k(8)?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - 1 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - q**2 + 404*q**3 - 410*q**3 + 4*q**2.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 4*w**2 + w + 2. Let p be v(-2). Find the common denominator of (124\/15)\/((-6)\/(-15)) and (p\/12)\/((-10)\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 0.1. Let m = y + 2. Let a = m + 4. Put 2, a, -2 in decreasing order.\nAnswer: a, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106872*n + 12144 = -107056*n for n.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**4 - 2\/5*p**5 - 18\/5*p**3 - 14\/5*p**2 + 0 - 4\/5*p = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -357 and -451.\nAnswer: 161007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231990079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*n - 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etatiaaiabitbtee. Give prob of picking 2 i and 1 a.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 12 = -6*i + 5*i, -2*i + 4*l + 16 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90563927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + a - 1. Let p(g) = -2*g**2 + g - 2. Give -6*p(l) + 7*x(l).\nAnswer: -2*l**2 + l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (750\/350)\/((-3)\/(-7)). Is 125 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -1, 15415, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 323097.209 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:58 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**8\/1120 + n**7\/168 - n**6\/120 - n**4\/24 + 13*n**2. Let l(f) be the second derivative of s(f). Factor l(q).\nAnswer: -3*q*(q - 2)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 3*p - 1. Let i(z) = -z**2. Let s(o) = 2*i(o) - x(o). Let j be (1\/(-3))\/(2\/(-18)). Give s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99919*p**4 + 5032*p**2 - 3.\nAnswer: -2398056*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggvggggggggvgggg. What is prob of sequence gg?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 - -8. Let i = s + -91. What is the lowest common multiple of 27 and i?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.698*-4.\nAnswer: 2.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.307 - 6.593. Let t = 7.3 + f. Which is greater: 26 or t?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -2614?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2160))\/(5*2*sqrt(12)).\nAnswer: 9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -5*i**4\/24 - i**3\/2 + 3*i**2\/2 - i. Let x(u) be the first derivative of j(u). Differentiate x(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 4:09 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(10\/12*2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 - 1 - (9 - (-22 + -6))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -294 greater than or equal to -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2151 is divided by 1071.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6709 divided by -43\nAnswer: 6709\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 8*l - 10. Let f be g(-5). Suppose 36 = f*z - 2*z. Differentiate -64*i + 64*i + 11 + z*i**3 with respect to i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:55 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 177 - 161 = 0. Suppose -x*w - 9 + 61 = -u, -2*w - 5*u + 4 = 0. Solve 0 = 5*s - s - w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9)*(19 - 1). Let s be (u\/(-21))\/(15\/7). Let n = -7 + 6.6. Which is the smallest value? (a) s (b) 11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 27 + (5 - 2 - (2 + -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567018598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 s when three letters picked without replacement from {s: 5, v: 3, b: 4}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38*(-2)\/(-36) + 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -81*o - 2. Let i(m) = -73974*m. Calculate i(z(r)).\nAnswer: 5991894*r + 147948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -1131?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 13, z: 6}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -84*m**4 + 78836*m**3 + 19189628*m**2 - 10095828*m - 5494536 = 0.\nAnswer: -201, -1\/3, 6\/7, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -24, -41, -58?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrbzzrjbzz. Give prob of picking 1 j and 1 z.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = y + 3 - 41, -2*m + 2*y = -20. Let a(h) = h**2 + 3*h + 1. Let s be a(-2). Let i = s + m. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-6)*3\/2. Let o = -95 - -94. Let p be (r + -2 + 0)*o. Solve p = -2*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.1, -294, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-78)\/18).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -12*j + 8*j. Let m(x) = 3*x**3 + 54*x**2 - 11*x - 25. Is 7 a factor of m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77)*-6)\/(4*-1*sqrt(7) + sqrt(7)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**6\/6 - 3*x**4\/16 - x**3\/12 - 8. Determine n so that d(n) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 - (-3*50\/(-54) - 2) and -23\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 72024342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5444 by 2.\nAnswer: 2722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45114662?\nAnswer: 2, 29, 777839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 86994712 divided by -34?\nAnswer: -2558668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 23*r**2 - 40*r + 45. Let m be (-41)\/2 - 2*5\/20. Let c be y(m). Solve k + c*k = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t - 1. Let j = -20 - -14. Let x(u) = -6*u**2 + 3*u**2 - 2*u**2 + 8*u + 7. Give j*c(h) - x(h).\nAnswer: -h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -871, 6 in increasing order.\nAnswer: -871, -5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(245) + sqrt(245))**2*-1 + -2 - (sqrt(40)\/sqrt(2)*-3)\/(-2*sqrt(100)).\nAnswer: -983 - 283*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -22, 3, -2\/11, -4\/7, -2\/25, -1\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 262563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-8)\/5 + 2). Let g be -1 - -2 - p*-1. Let s = 157694 + -157640. What is the greatest common divisor of g and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108 * -0.4.\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -482885.536 plus 0.577?\nAnswer: -482884.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 - 2*r + 1. Let g be k(-2). Let i = g + 7. What is the least common multiple of i\/(2\/(-5 + 1)) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 221 + -107. Let z = 117 - p. Solve -l = -5*u - 13, 5*l = -3*u + 2*l + z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 - 1868*s**2 + 5*s - 6. Let m(l) = -l**3 - 2*l**2 - l + 1. Determine -6*m(n) - o(n).\nAnswer: 2*n**3 + 1880*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 134\/11, 157, 12, 2.7?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -17. Suppose -3*u + 5 = -2*x + 3, -4 = -o*u + 4*x. Suppose 2*j = -u*j + 26. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 6*z**2 + 3*z**2)*(117*z**2 + 15*z**2 - 202*z**2 - 332*z**2).\nAnswer: -1608*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h + 6. Factor -3*s**h - 4*s**3 + 3*s**3 - 3*s - 3*s**4 - 9*s**2 - 5*s**3.\nAnswer: -3*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 560?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*1*-3*4\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2. Let t(s) = 7*s**2 + 8*s**2 + 22*s**2. What is o(t(i))?\nAnswer: 2738*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 - -104. Let q(r) = r**3 - 8*r + 2. Let o be q(h). Let t = -8 + 3. Put 2, t, o in ascending order.\nAnswer: t, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 6*l**2 + 6*l + 5. Let w be c(7). Is (w\/10)\/((-32)\/549280) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.197434 + 0.1?\nAnswer: -0.097434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-58 + (-4 + 10 - 1) - -10)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 17500206*p - 35000404.\nAnswer: -2*(p - 8750101)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 3*d - 3*d)*(-145 - 146 + 244).\nAnswer: -47*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 9*m. Suppose -5*o = -5*a - 25, -5*o - 17 + 2 = 5*a. Give v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 1. Let q = -58 + 57. Let v(o) = -35*o - 1. Let x(i) = q*v(i) + 2*y(i). Differentiate x(n) with respect to n.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 4:17 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-64)\/10*25\/10. Suppose 0 = -9*h + t*h + 490. What is h rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -18. Sort -0.02, k, 3.\nAnswer: k, -0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-14698795.\nAnswer: 73493975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1147 by 1.\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2414 (b) -33 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 10, -29, -94, -191?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3 + 33. Suppose -2*t + 224 = 28. Suppose t = -5*r + 448. What is the remainder when r is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.04 - 0.04. Let n = -0.10131 + -0.29869. Which is the smallest value? (a) 0.5 (b) h (c) n (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/6)*z*(z\/(z*z**(-10))*z)\/z)\/(z**5\/((z**11\/z)\/z)))**(-29))**(-26) assuming z is positive.\nAnswer: z**(33553\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from vdvvrdv?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20142197*b**5 + 2*b**4 + 27*b**2 - 14656.\nAnswer: 1208531820*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 12, 3*o + 41 = -2*f + 9. Let n = o - -11. What is the least common multiple of n and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s**3 + 6*s**2 - 9*s + 12. Let h be t(-6). Calculate the greatest common factor of h and 3419.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9168289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1468 - -3591. Calculate the least common multiple of i and 3.\nAnswer: 6369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 + (-296)\/(-36). Let t = 6 - i. Which is the third smallest value? (a) t (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -48\/259?\nAnswer: -48\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 40*y**2 + 10*y**2 + 16*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1716813*t + 2. Let w(l) = 3433626*l - 5. Let x(u) = -13*v(u) - 6*w(u). Let j be x(8). Let a = j + -8134508. Round a to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(8\/13)\/(g**(3\/17)\/g)*(g\/(g*g*g*g\/((g*g**(-6))\/g)*g))\/g**37)**(-12\/11) assuming g is positive.\nAnswer: g**(120828\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*q + 137*q - 2296 = 0. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.02. Let u(y) = -4*y - 61. Let p be u(-16). Let j be (-9)\/((-135)\/(-50)) + p. Which is the smallest value? (a) 0 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1 - -2)*1. Let i(m) be the first derivative of -m**4\/4 - m**3\/3 + 19*m + 139. List the prime factors of i(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c = 37*c + 14469000. What is c rounded to the nearest ten thousand?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -580*m + 607*m - 1138455. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201210312 (base 4) to base 13.\nAnswer: -4a79c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.1 + 18.01. Let g = s + -0.41. Which is smaller: -0.3 or g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-4) + 2)*1843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 20 = -3*h, -90 + 16 = 3*t - 17*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 231, 926, 2357, 4788?\nAnswer: 8483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 + 1. Calculate b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + -8?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3476819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c**2*g**3*s - 5582*c**2*g + 6*c*g**3*s - c*g**2 + c*g*s + 20751*g**3*s wrt g.\nAnswer: -36*c**2*s + 36*c*s + 124506*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 24*t**2 + 18*t**2 - 61*t + 32 - 3*t - 11*t**3 + 0*t**3.\nAnswer: (t - 4)**2*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/12)\/(4\/6). Let l be (-2)\/c - 3*-2. What is the nearest to -0.2 in 0.5, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 3*h**2 + 13*h - 6. Let s be o(-6). Suppose -s = -3*k - 3*k. Solve 0 = k*f + 3 + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 10 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 44, 0, -5\/3, 8 in ascending order.\nAnswer: -5\/3, 0, 4, 8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2365 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -211*f + 168. Let d(z) = -69*z + 56. Let i(s) = 17*d(s) - 6*v(s). Differentiate i(o) wrt o.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 - -0.2. Let c = b - 3. Let q be (1\/20)\/((360\/(-64))\/(-15)). What is the second smallest value in -8\/5, c, q?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*m - 782*m - 1 + 4*m + 12*m + 2*m**2.\nAnswer: 2*m**2 - 1291*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c - 6. Let d(h) = 17*h - 11. Let t(k) = -6*d(k) + 11*v(k). Let q be t(-4). Let s = -7 + q. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 769413.2mm?\nAnswer: 0.7694132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 t when three letters picked without replacement from {t: 4, o: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8902 + -0.1098. Let i = 992\/11 + -90. Let u = 0.5 + -2.5. What is the nearest to u in 0, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -9?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1429567 is divided by 58?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111 is divided by 390?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 26645*u**2 - 35484475*u - 35511125.\nAnswer: -5*(u - 2665)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 166351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 19. Let j = l - 22. Let r = j + 7. Solve 5 = 5*t - r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397, -1603, -3621, -6451?\nAnswer: -10093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10399.2 - -10399. Which is the closest to 1.9? (a) 5 (b) -2 (c) m (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 217?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 22314, -2, -2\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131\/66 - 13\/6. What is the second biggest value in p, -12, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from rxrrrkkrrkkrxk.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 466 - 465.919. Let z = -0.009 - m. Which is the closest to -0.1? (a) z (b) 3 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3149 - -4757. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - (-30 + 22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 + 1300\/7. What is the closest to m in -0.5, 5, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((49\/28)\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (8 - (3 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 34532?\nAnswer: -34551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3\/7 - 804*z**2\/7 - 3492*z + 30268 = 0. What is z?\nAnswer: -161, -47, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 17*h + 8835 = -13*h, 0 = 4*i - 4*h - 7068. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2 + 5\/(-10). Let y(h) = -z - 5*h + 5*h - 3*h**3 + 0 - 2*h**2. What is the units digit of y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (73 - 16 - -4).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/61586 and 53\/56.\nAnswer: 246344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g**2 - 37*g**2 + 18*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -k - 62 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -12, 5*i - y = -0*y + 909. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21 - -9.21. Let u = p + -15.6. Round u to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 671 - 671.0000005741. What is p rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llulbbllulblblulll. Give prob of sequence lu.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -240636 - 601?\nAnswer: -241540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, -68.\nAnswer: -68, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2530 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -4*i + q, -5*i + 5*q + 5 = 0. Let v(x) = -x**2 - x - 1. Let w be v(i). Let y be 0 - (2 + w*6). Are y and 4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 4*a**2 - 4*a - 7. Let h be f(-5). Is h - 3\/(-2)*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -21 (c) 3 (d) 29 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 22*g**2 - 24*g + 60. Let j(l) = 40*l - 4019. Let c be j(101). What is x(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-1 + 4) + 2. Suppose -4*k = l, g + k + 1 = -g. Suppose 33 = 2*t + 31. Solve t = -g*b - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16520\/(-177))\/70)\/(5\/((-50)\/24))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let f(c) = -166*c. Suppose 8*q = 31*q - 1909. Let b(t) = q*v(t) - f(t). Let r(m) = -2*m. What is r(b(k))?\nAnswer: -498*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*l + 27 - 75 = 0, -2*l = -j + 3. Suppose 12*b = j*b + 96. Calculate the highest common divisor of b and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*6\/(-90))\/(1131\/(-290)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26734329 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 40, 7\/4, 0?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 13 - -6) + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -231145 (base 7) in base 4?\nAnswer: -22010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 7 (c) -32 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13330 bigger than -13328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -2\/17, 2\/13, 92, 0.3 in decreasing order.\nAnswer: 92, 0.3, 2\/13, -2\/17, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 23*k**3 + k**2 - 1505*k + 7499. Determine n(5).\nAnswer: 2874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447434 is divided by 1034?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**4 - 2387*c**3 + 32176*c**2 - 94087*c - 89670 = 0.\nAnswer: -610, -3\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -483, -238, 179, 774, 1553?\nAnswer: 2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*n + 75*n - 151 = -35*n - 1949 for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.3 + 29. Which is the smallest value? (a) x (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5 = 1. Let v be (-28)\/(-8) - i\/(-4). Suppose -5\/2*w**2 + 0 + 1\/2*w**5 + 1\/2*w**4 - 3\/2*w**v - w = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.98403707 to one dp.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1, 3, 54, -2\/3 in ascending order.\nAnswer: -2\/3, 2\/7, 1, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/9)\/(4 - (-11)\/(-3)) + (-2074)\/(-3111)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 25*c - 3. Let v(l) = 3*l + 4. Let r be v(-2). Let h(j) = -249*j + 30. Let g(z) = r*h(z) - 21*w(z). Is g(-5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 19 + 31 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3429376 and 226304?\nAnswer: 44581888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 362894 and 17738?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (8 + (8 - 18) - -8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -p - 2*p. Is 55 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 3)*(-3*h + 3*h - h) - h + h - 2*h + (-4 + 1 + 2)*(-2 + 1 + 4)*(4*h - 3*h + 2*h) in the form u*h + y and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10. Suppose 2*x = -4, -r*i + 5*x + 32 = -22. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 1. Let f(v) = -2*v - 529. Let l(a) = -f(a) - 3*z(a). Let s be l(0). Suppose -4*k + s = 2*y, -k + 5*y = -0*y - 126. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4213861ml?\nAnswer: 0.0004213861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*a - 10, -a + 12 = 3*j + 2. Suppose 0 = 2*z - j + 9. Suppose 3*f - 7*f - 4 = 0. Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**6 - 38*k**2 - 3*k**6 + 28*k**2 wrt k?\nAnswer: -1080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i - 1482*i**3 + 22*i**5 + 1482*i**3 wrt i?\nAnswer: 440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-4*((-150)\/8 - -17). Solve 7*s + 14 = d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 31275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = g - 2*g. Let c be (-4)\/(-2 + 20\/8). Let x = c + g. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*c + 3*c = -41, 0 = 4*g - 2*c - 58. Solve -1 + 3 = 5*s - 4*q, 2*q + g = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67.7 and 9.\nAnswer: -609.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*h - 2*h - 167, 2*i - 102 = h. Let g = -21 + i. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ippxpxpipppiipip. What is prob of picking 1 p, 1 i, and 1 x?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -610 (base 8) to base 15.\nAnswer: -1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430385 at most as big as 1430621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13529, -13528, -13527, -13526?\nAnswer: -13525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 9 = 0. Let y = -21\/2 + 85\/8. Which is the second smallest value? (a) 0.3 (b) p (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -306 - -547. List the prime factors of y.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56054 + -0.178.\nAnswer: 56053.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 5*i + 2. Let x = -7 - -8. Let a(o) = o - x - 4*o**2 + 3*o**2 - 5*o + 2*o. Calculate -9*a(q) - 4*p(q).\nAnswer: q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067757 is divided by 234.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 2*f - 16 = 0, i - 2*f - 1 = 0. Solve 15 = i*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*p - 98 = 0, 0 = 4*f + 3*p - 58 - 389. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23 + 701168.\nAnswer: 701167.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:41 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.3 - 23.1. Let w = 0.042 - 19.042. Let n = x + w. Are n and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*w + 633 + 650, y - 4*w = 1281. Solve -y*i - 28 = -1280*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w. Let r(u) = -508*u. Give r(p(d)).\nAnswer: 1524*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**12\/p**(-7\/5)*(p*p\/(p**(13\/2)\/p*p)*p*p)**(-31) assuming p is positive.\nAnswer: p**(909\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -139, -260, -355, -412, -419, -364, -235?\n\"Answer: 2*m**3 + m**2 - 138*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 99. Let u be 94\/1 - z*(1 - 4). Suppose -u = 3*x + 4*w - 464, -4*x - 2*w + 506 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 0*r**2 - r**2 + 6*r**2. Let o(l) be the first derivative of l**5\/60 + 3*l**2\/2 + 2. Let n(i) be the second derivative of o(i). What is g(n(f))?\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153\/4 - -38. What is the second smallest value in 0.4, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723265734.\nAnswer: 2, 3, 6701, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/4 + 2017*m**4\/4 + 8079*m**3\/4 + 10103*m**2\/4 + 2021*m\/2 = 0. Calculate m.\nAnswer: -2, -1, 0, 2021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714945?\nAnswer: 3, 5, 7, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from zzzttkztotztzktuttzy?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 - 52. Suppose 6*c + 3*h + 210 = 10*c, 4*h + 154 = 3*c. Calculate the remainder when c is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y + 3*y + 4*y - 15*y - 190*y**2 + 3*y to x + h*y + w*y**2 and give w.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7)**(-1\/11) assuming d is positive.\nAnswer: d**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1385509436 divided by -2.\nAnswer: 692754718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238 by 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*q - 927 + 657 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 111000\/5 - 1 - 1. Suppose -5650 = 12*t - g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-1)\/(-3) + 2. Let x be (-2)\/(-8) - 9\/(-12). Let t = v + x. Solve 0*h + 4*h = -t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + 0.49.\nAnswer: 14.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 4, 1, 1\/3 in descending order.\nAnswer: 4, 1, 1\/3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 255230, 510322, 765414, 1020506, 1275598, 1530690?\n\"Answer: 255092*s + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1582, 1592, 1614, 1654, 1718?\nAnswer: 1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174.5 + 88.2. Let n = j - -86. What is the nearest to -0.3 in n, -1, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5530756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.06 and 4\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 5. Let g be x(7). Let c be (g - 2) + 2 - 0. Suppose 2*t = k + t - 9, -t + 3 = c*k. Solve 0 = k*q + 2*h, -12 = 4*h + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**4 + 3*f**3 + f**2. Let k(u) = 2*u**3. Let c be 16\/12*(-9)\/6. Let i(w) = c*a(w) + 3*k(w). Factor i(x).\nAnswer: 2*x**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeewwsx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by -326480?\nAnswer: 3\/9328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -56262720?\nAnswer: 56262718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 - 2*z + 1. Let r = -36 + 33. Let l(y) = -5*y**2 - 3*y + 2. Let c(m) = r*v(m) + 2*l(m). Suppose 12 = 3*f - 3, -f + 6 = -d. Calculate c(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214\/469 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*6*(-11)\/33?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/7 + 5478*t**3\/7 - 455820*t**2 + 575453064*t\/7 + 1163712960\/7 = 0. What is t?\nAnswer: -2, 360, 734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + 17*d**2 - 5*d**3 - 9*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 64*g + 525. List the prime factors of x(44).\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/(-1))\/(2 + -3). Let f = 25 - r. Let i be f\/15 - (-180002)\/6. What is i rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 693?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -1957*f**5\/60 + 5420*f**2. Let v(q) = -6*q. Determine s(v(g)).\nAnswer: -70452*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517 is divided by 99.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00161559783 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = 2*i, 0*z = 2*z + 5*i + 2. Is ((-3)\/z)\/((-1)\/(-106)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -86d?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 962, 983, 1016, 1067, 1142?\nAnswer: 1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:01 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.747, 3, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 4. Suppose 5*p + 0 = -f. Let b = -2 - -2. Which is bigger: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9548 (b) -4 (c) 61.286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 481*g + 4. Let z(q) = -3*q**2 - 482*q + 6. What is -4*s(x) + 3*z(x)?\nAnswer: -x**2 + 478*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60 and 0.296473.\nAnswer: -17.78838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 4 (b) 3 (c) 2.4 (d) 3\/2 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -14. Suppose -4*s - z = -2*s. Let f(n) = -8*n**2 + 32. Let t(o) = 1. Let q(d) = f(d) - 32*t(d). Let w(i) = i**2. Give s*q(x) - 21*w(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 25.7 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5022\/781 - 108\/71. What is the common denominator of l and (-188)\/8 + 1\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x + 114 = 4*v + 42*x, 0 = -4*x - 20. Find the second derivative of -3 + v*t**4 - 131*t**4 + t - 8*t + 4*t**4 + 1 wrt t.\nAnswer: -1212*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447*b - 438*b + 228*b**2 - 451*b + 1785*b - 449*b.\nAnswer: 228*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40.139842 - -0.140082. Let i = -1.09 - -41.09. Let u = i + w. Round u to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.324243mm to kilometers.\nAnswer: 0.000001324243","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3355647022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 - 3*c + 3*c)*(-48 - 72 + 19)*(-2 + 3 - 4).\nAnswer: -606*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in centuries?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*b + 864, 0 = -63*b + 66*b + 2*y + 654. Suppose 0 = -2*s + 3*t - 457, -4*s + 3*t = 467 + 432. Is b greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3 - 9. Let j(o) = o**2 + 0*o**t + 3*o**2 - 2*o + o**3 - 6 + 7*o. Let q(z) = z**2 + z - 1. Determine j(c) - 6*q(c).\nAnswer: c**3 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-8 - -13)) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*s = -1, 3*s = -8*k + 3*k - 2. Let m be (1 + -18)\/(1*k). Suppose 3*o = 20 + 388. What is the highest common divisor of o and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 38, -2 in ascending order.\nAnswer: -2, 1, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1427186 * 0.088.\nAnswer: 0.0125592368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 459.1?\nAnswer: -137.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6.3. Let t be -2*2 - 132\/(-30). Put t, s, 2 in decreasing order.\nAnswer: 2, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -822 + 1210. What are the prime factors of g?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68 + -27653?\nAnswer: -276bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 9*k + 75. Let v be o(14). Round v to the nearest ten.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/3, 2\/7, -2\/53, 1.\nAnswer: -2\/53, 2\/7, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 - 14*r**2 - 14*r - 5. Let p be c(8). Solve 2*y = 3*d + p, y - 2*d - 10 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 65*w**2 + 5*w + 3. Let h be c(-1). What are the prime factors of (h\/9)\/(2 - (-134)\/(-68))?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 4. Suppose -h*m = -5*m. Determine b, given that m + 3*b**2 + 21\/5*b**3 - 6\/5*b = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/44 - 167\/(-11). Let a be (50\/h)\/(6\/9). Solve a + 1 = -4*q + 5*v, -q + 9 = 4*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 410, 891, 1564?\nAnswer: 2429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.83 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k - 2. Let v(y) = y**3 - 10*y**2 - 11*y + 3. Let m be v(11). Let l be t(m). Solve -g = g + l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15\/2*m + 9\/2 - 1\/2*m**3 + 7\/2*m**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*g + 272, y = 3*y - g + 107. Let m(b) = -b**2 - 5*b - 4. Let w be m(-5). Is (w\/12)\/(2\/y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*d**3 - 2343*d**2 - 3726*d + 1728.\nAnswer: -3*(d + 2)*(d + 96)*(8*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (sqrt(17) + 0)*-1 + ((sqrt(612)\/(sqrt(96)\/sqrt(8)))\/sqrt(3))**2 + -3.\nAnswer: -sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7) + 0 - 3225\/(-5418)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 31. Suppose b*p - 2*w + 42 = 3*p, -w = 4*p - 56. Let x(h) = -16*h**3 - 2*h**2 - 2*h. Let o be x(-1). Is p <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 - -0.8. Let i = w + -4. Let l = -0.1 + i. Which is bigger: l or -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5387556 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -60757, -60821, -60907, -61015?\n\"Answer: -11*c**2 - 31*c - 60715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*v + 3*w = 6*v - 450, -15*w + 11*w = -12 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*b**2 + 2*b - 1 + 1628*b**2 + 1 in the form m*b + n*b**2 + p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0204 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + (-49)\/(18 + -11))*2\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 9, -1, -25, 15.\nAnswer: -35, -25, -1, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2262 or 24874\/11?\nAnswer: 24874\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -10*g + 2865. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 3)\/((-34)\/(-187)). Let s = 23\/2 - m. Find b such that s*b - 1\/4*b**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*56\/1302*(-6)\/(-24)*-13?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1201210 + -101333?\nAnswer: 1033211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112672?\nAnswer: 2, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.736 and 37603846.245?\nAnswer: 37603836.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -7. Let j(d) = -5*d - 51. Let y be j(-9). List the prime factors of -5 - y - (-59)\/q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -3*r**2\/2 + 366. Let i(t) = -205*t. What is i(v(x))?\nAnswer: 615*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in -12, 39, -30\/17, 4\/7, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 2*q**2 - q. Let u(s) = 21*s**3 + 14*s**2 - 14*s. Calculate -u(j) - 7*y(j).\nAnswer: -14*j**3 + 21*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 678*m**4*s**3 - 357476*m**3*s + 3*m*s**3 + 238*m + 105*s**3 - 5*s**2 wrt m.\nAnswer: 8136*m**2*s**3 - 2144856*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z*z*(z**(-1\/17)\/z)\/z)**37 assuming z is positive.\nAnswer: z**(481\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/45 + -59\/630. Let p = -509.3 + 509. What is the smallest value in 2, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222021 (base 3) to base 13.\nAnswer: ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 57392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14988?\nAnswer: 2, 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13493\/2506 - -123\/179. Find the common denominator of 20\/9 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:40 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*z + 50*z - 905. Suppose -3*i - z = -571. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -652 + -85b?\nAnswer: -ead","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/((-54)\/(-46000))*270. Round y to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179972 - 117899. What are the prime factors of n?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24310.04 centimeters to nanometers.\nAnswer: 243100400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.3 (c) -2\/199 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*979.\nAnswer: -293.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + -63. Let q = 169 + t. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 577?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-8) + -2 + 12\/2. Sort -3, -1, 0, s in descending order.\nAnswer: s, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-437)\/1368)\/23*20?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027 - 2480090.\nAnswer: -2480090.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -828 + 0?\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31288.5 plus -0.238?\nAnswer: -31288.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*l + 130 = 0, 0 = -z - 2*l + 6*l - 130. Calculate the common denominator of 139\/6 and (126\/(-135))\/((-8)\/z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d + 23 - 22 + 0*d. Let n(k) = k**2 - 2*k - 6. Let y(j) = -2*b(j) - n(j). Let c be y(0). Solve 2*m - c*m = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -35. What is the second derivative of 83*o - 77*o - a*o**3 + o**3 wrt o?\nAnswer: -66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 5 - 1 - 4*g**3 + 0*g**3 to h*g**3 + y + j*g + f*g**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -732631, -732635, -732639?\nAnswer: -732643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 25 = 2*b, 8 + 32 = -5*b + 3*o. Sort b, -20, -3.\nAnswer: -20, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fak when three letters picked without replacement from kahhghakpaakagafkkp?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-92))\/((-5)\/(((-2457)\/(-21))\/((-3)\/(-8))))?\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c = 83 - 185 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 40*m**2. Let b be y(40). Solve b = 2*c + d - 1, 2*d + 16 = 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x - 16 = -31*x. Suppose -k - x*f = -7*f - 22, 5*k - 2 = -2*f. Let i(n) = -12 + 0 + n**3 + 5*n**2 - 10*n + 4*n**2 - k*n**2. What is i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2 + 8. Let r(p) = -2 + 2*p**2 + l*p - 3*p - 3*p**2 + 3*p**2. Determine r(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 8:20 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/2)\/(-2 - (-8)\/16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07165598 and -0.4.\nAnswer: 0.028662392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -784 (base 13) to base 11\nAnswer: -a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/7 + 11682*q\/7 + 809258\/7.\nAnswer: 2*(q + 71)*(2*q + 5699)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(208)*-2)**2)*5 - (1 + sqrt(208)*2)*6.\nAnswer: -48*sqrt(13) + 4179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8108, -16047, -23852, -31523?\nAnswer: -39060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/10*30\/(-9). Let g = 1.15 - 0.15. Let d = g + -0.5. Which is the second biggest value? (a) -3 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4637, -4603, -4569?\nAnswer: -4535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -150*u + 134*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24438\/11 - -2220. What is the closest to r in -5, 0.1, -3, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x = -124*x + 41712. Solve x + 24 = -83*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 74*n**2 + 243*n - 117. What is v(40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14896\/(-108) + (-126)\/1701. Which is smaller: -140 or j?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j + 12 - 2*j + 9*j + j**2 - 2*j. Let v be z(-8). Suppose -g + 4*w + v = 0, -7*g - w = -3*g + 18. Is -4 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -875*b*y**2 + 255*y**2 wrt b?\nAnswer: -875*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 277901 + -1096839\/4. Let a = -3716 + r. Suppose 2*o - 2*f + 181 = -3*o, 2*f = -3*o - 99. Calculate the common denominator of a and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g - 3. Solve -4*t + 3*t = -g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150172 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33062386 to the power of 1\/2, to the nearest integer?\nAnswer: 5750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y**4 + 0*y**3 + 1\/30*y**5 + 0 + 9*y**2 + 0*y. Let k(o) = -3*o**2. Calculate q(k(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4 - 5. Suppose 3*h = t - 0*t + 33, 2*t + 18 = 2*h. Let x be h\/8 - 1\/2. Sort 0, x, o.\nAnswer: 0, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1.7, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/2 - 1\/(-2). Suppose 4*h = f*h + 6. Let x = h + 6. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*q**1)\/((q\/(q**(-1\/2)*q)*q)\/q)**43*((q*(q\/q**(-8))\/q*q)\/(q\/q**(2\/25)))**22 assuming q is positive.\nAnswer: q**(9113\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -1\/2*g**3 - 7\/24*g**4 - g**2 - 1\/120*g**5 + 0*g + 0. Let v(x) be the first derivative of a(x). Determine v(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6215*g**3 - 12382*g**3 + 6272*g**3.\nAnswer: 105*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3944, 7595, 11240, 14879, 18512, 22139?\n\"Answer: -3*a**2 + 3660*a + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiik when four letters picked without replacement from {u: 1, z: 2, p: 3, k: 3, i: 3, h: 1}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 42 = -i - 63, 5*i + 5 = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 4*d**2 + 4*d - 2. What is the lowest common multiple of k(4) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/(-2) + (-14)\/(-7) - (-222 - 37653)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Suppose -3 - 1 = 2*c, r*a = 5*c + 67. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 9. Let n be f(8). Suppose 0 = -5*w + 4*w. Differentiate n + w + 3 - 1 - k**2 wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000694048202 to six dps.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79551574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2235 and -0.02?\nAnswer: -44.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + 2*sqrt(7)))**2*2.\nAnswer: -160*sqrt(7) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**5\/2 - 23*n**4\/2 - 15*n**3\/2 + 23*n**2\/2 + 5*n = 0.\nAnswer: -1, -2\/5, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 2*a. Let o(c) = 2*c + 2. Let w be o(1). Let g(q) = -q**2 + 3*q. Let h(t) = w*g(t) + 6*s(t). Let d(r) = -r. What is d(h(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/4 - 1\/4. Let n(l) = 2*l - 2. Let p(q) be the third derivative of q**4\/24 - q**3\/3 - 23817*q**2. Determine i*n(j) - 2*p(j).\nAnswer: 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 172 = -c, -3*c = -3*y + 167 - 29. Let l = 1951 - 1935. What is the lowest common multiple of l and y?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(21))\/(sqrt(224)\/sqrt(8)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 12*p**2 - 16*p - 51. Let t be l(-5). Calculate the common denominator of ((-309)\/t)\/((-120)\/(-14)) and -123\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.696\nAnswer: 2.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101111000 (base 2) to base 11.\nAnswer: -1904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 16*h + 5*a - 6243 = 0, -h = 2*a - 1560. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/77 - 0)*(-308)\/132 - 324\/1661?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r**2 + 222*r - 12. Let m be x(-13). Which is smaller: -0.09 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0231 - -7.8231. Let l = 9.8 - p. Let t = -3 + 3.4. What is the nearest to l in t, 0.1, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1202 - 9615\/8. Which is the third biggest value? (a) h (b) -0.1844 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 478 and 933773?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 25677021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at least 2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8285 + 8632.7. What is w rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, -4, -5 in descending order.\nAnswer: 9, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4258*o - 4253*o = 20, 5*n + 2*o = 3*n - 48 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 50. Let w(q) = q**2 - 2*q - 11. Let h be w(k). Let j be 8\/h - (-7 + -2). Which is the third biggest value? (a) j (b) -0.3 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 3232.\nAnswer: 106656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -2*s**6\/105 + 6*s**5\/35 - 3*s**4\/7 + 8*s**3\/21 - 293*s. Factor a(z).\nAnswer: -4*z*(z - 4)*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -3. Let p = -20 + y. Let g = p + -12. Sort g, -6, 0.5 in descending order.\nAnswer: 0.5, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 509361300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -821 divided by -62\nAnswer: 821\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from yimyomeoj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 20*q**2 - 45*q + 24. Let m be a(22). Solve -m*i = 2*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 18. Calculate n(-17).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/10)\/(6\/(-15)). Suppose 0*n + 28 = m*n. Let w be -3 + -1 - (-4 - n). What is the greatest common factor of 49 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89291506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2, -17.\nAnswer: -17, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.992 and 165.\nAnswer: 167.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 - 3.41. Let k = m - 0.8. Let p = 0.69438 - 17.69438. Sort 1, k, p, 2\/3 in decreasing order.\nAnswer: 1, 2\/3, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 1:05 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 30 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**(-4\/7)\/q)\/q*q**(1\/2)*q**1*q\/(q**4\/q) assuming q is positive.\nAnswer: q**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6439 and 1096.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.1105.\nAnswer: 0.0442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006792471378 to 5 decimal places.\nAnswer: 0.00679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m\/(m**(-9\/2)\/m)*m)\/m*m)*m*m**(4\/17))\/(m**15\/m*m)**(-25) assuming m is positive.\nAnswer: m**(12605\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2803? (a) 86 (b) 4 (c) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -20197, 144 in ascending order.\nAnswer: -20197, -1, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -63809 and -0.06298125.\nAnswer: -63809.06298125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2 - 140*y - 141 = 0.\nAnswer: -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 143 in 5, 1\/2, -0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -985*r**2 - 54*r - 11. Let n be z(-24). Let t be n\/(-100) - (-6)\/(-8). What is t rounded to the nearest one hundred?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61180982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(27\/(-285)*(-1390)\/(-1668)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 414611389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2133*a - 4 = -2134*a - 4*z, 3*a = -3*z + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59579815.\nAnswer: 5, 17, 113, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate y**2 - 141*y + 147 wrt y.\nAnswer: 2*y - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125.8375mg to tonnes.\nAnswer: 0.0000001258375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -175) + -5 + 0. Let o = -175 + c. Put o, 22, 3, -5 in decreasing order.\nAnswer: 22, 3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose 0 = t + 4*n - 29, -2*t - 2*t - g*n = -102. Let u = t + 69. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4182*a**4 - 5*a**3 + 44*a**2 + 42857663*a wrt a?\nAnswer: -50184*a**2 - 30*a + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnb when three letters picked without replacement from bllbnnvlbl?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c**3 - 48*c**2 + 48*c**2)*(-c - 3 + 3 + (-1 - 3 + 2)*(3*c + c - 7*c)).\nAnswer: 60*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -354507.\nAnswer: 2481549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15 and ((315\/(-10))\/7)\/((-3)\/29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -19*k**6\/3 - 14*k**3 + 48. Find the third derivative of z(m) wrt m.\nAnswer: -2280*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 m, and 1 t when four letters picked without replacement from {s: 2, x: 1, y: 2, m: 8, t: 2, u: 2}.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/84 and -29\/34.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/((-9)\/(18\/(-28))). Let d = -0.255 + 2.255. Let p = 7 + -7.3. What is the third smallest value in i, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, -0.5, 0.055958, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -49?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 915091 - -1532.44778\nAnswer: 916623.44778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3377114.\nAnswer: 2, 13, 193, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 2, 3*s + 25*g - 6*g = -38 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 522.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(525))\/(sqrt(28)*-3) + ((sqrt(363) + -1)*5 - sqrt(363) - (sqrt(363) - (5*(sqrt(363) + 0 + sqrt(363) + sqrt(363)))**2)).\nAnswer: 193*sqrt(3)\/6 + 81670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 20 = 0, 28*u + 26*u = 47*u - 3*n + 138 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 divided by 100931?\nAnswer: 426\/100931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17910151 to the nearest integer?\nAnswer: 4232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3078 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n + 30*n - 156. Suppose -13 - n = -b. What are the prime factors of b?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94162 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 4 - 59)*(2*o**2 - o**2 + 2*o**2).\nAnswer: -285*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*t + 15, -3*t = 3*j - 3 - 27. Suppose 1 - 4 = h + 3*m, -2*m = 4. Let i(y) = 0 + h - j. Let o(w) = -w - 9. Calculate -9*i(s) + 2*o(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14216.\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:47 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5 = 5*w, -1 = -2*q - w + 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*b**6\/b*b*b)*b\/(((b\/(b\/(b**3*b)))\/b)\/b*b)*b*(b**(1\/4))**42)**(-13) assuming b is positive.\nAnswer: b**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*q**5 - 7*q**3 + q**2 - 8*q + 1568?\nAnswer: -1460*q**3 - 42*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.41 + -1.4159. Round c to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:03 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**11*k*k*k**(-2\/23)\/k assuming k is positive.\nAnswer: k**(274\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6560352?\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 254 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttte. Give prob of sequence tte.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 2*d**2 + 3. Let x be z(0). Suppose 4*p = x*p - 5*w + 45, 0 = 3*p - 4*w - 40. Solve -2*u = 3*u - p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 3.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*u - 1632 = -294*u. Calculate the greatest common factor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 3 in ascending order.\nAnswer: -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 7*r. Let n(j) = -j. Let y(h) = 21*n(h) + 3*o(h). Let t(x) = -4*x + 2*x + 3*x + x. Calculate t(y(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946\/4*20\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + 2*v**3)*(v + v + 0*v)*(2*v - 4*v - v).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -35. Suppose -5*o - 27 = -z. Let q be (o - -4)\/((-1)\/35). What is the greatest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46515932 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000171277 rounded to seven dps?\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 950 = 5*a, 5*a - 2*a + 36 = o + a - 28 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 2*a**2 + 2*a - 1. Let v be o(3). Let i(r) = -3*r - 4. Let l be i(v). Suppose t = 2*s - l, 6*s - 2*s = -t + 16. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5233856 divided by -32\nAnswer: 163558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -18. Suppose 0 = u*w - 10*w. Suppose -4*b = 4*l - 26 + 2, w = -4*b + 3*l - 4. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -z - z. Let p = z - -93. Let v = 28 + -11. What is the remainder when p is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x - 56 = 32*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3510 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*t, -3*a - t = -4*a - 3. Find the common denominator of (1 + -83)*a\/(-8) and -23\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*c = 125*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -384 divided by -24\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 79*t**2 + 705*t - 75. Calculate i(22).\nAnswer: -1505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 224 - -260. Let v = t + -470. Calculate the greatest common factor of v and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z + 10*z - 29*z + 14*z. Let k(a) = 5*a. Let x(f) = 6*k(f) - 11*o(f). Let j(q) = q - 4*q + 6*q. Determine x(j(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - -6)\/((-12)\/12)*-27. What is the greatest common divisor of j and 16263?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:45 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -7 - (-1)\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 39 (c) 120\/7 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c - 8. Let v be h(4). Let r be 6*(v\/6)\/(-2). Let p be 1\/r + 12600007\/28. What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 1019, 3429, 8133, 15899, 27495?\nAnswer: 43689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -5238214.\nAnswer: -5238214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7*(-8)\/2716). Is 11 a factor of (-2 + 1)*(2 - 4) - u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 - 117. What is h rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 p when three letters picked without replacement from {v: 3, p: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1071 = r, 5*r - 933 = -4*o + 495. What are the prime factors of o?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*r - 12, 0 = -0*j + 5*j + 3*r - 4. Let l(y) = -6 + y**3 + j*y - 3*y + 8*y**2 + y. Is l(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3004 - -4396. Suppose -9*g = -15*g + k. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 127*y + 128*y + 81*y + 124*y - 461*y.\nAnswer: -y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 139434609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -2, 5, 21, -6 in decreasing order.\nAnswer: 21, 9, 5, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1792231647\/1375636 - -432646\/331. Let v = u + 1\/1039. Which is greater: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4692 divided by 6\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 9 - 6. Suppose -v + 5*v = -5*q + 15, -4*q + 4*v = -48. Suppose q = y*n - 3. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, x: 1, o: 1, f: 1}. What is prob of picking 1 w and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -24*u + 16. Let v(y) = -y + 1. Let z(p) = l(p) - 20*v(p). Let f(i) = -5*i - 4. Give -3*f(o) + 4*z(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8+-0.1393525\nAnswer: 7.8606475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from yyyydyyydydy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 - 7*x**4 + 3*x**3 + 55*x**2 - 50*x.\nAnswer: -x*(x - 2)*(x - 1)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -21*i**2 + 7*i - 4. Let a(s) = 5*s**2 - 2*s + 1. Let v(j) = 9*a(j) + 2*p(j). Let d be v(1). Solve 3*n + 4*r = 28, 3*n - 4 = -d*r + 2*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/9 - 43\/((-4644)\/19632) is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -3*j - 8*g - 21, 377*g + 6 = 379*g for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 10*s + 5*b + 15, -5*s - 8*b = 24 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -4*((sqrt(78) + sqrt(78) + (sqrt(78) - (sqrt(78) + sqrt(78)*2 + sqrt(78) + sqrt(78))) + sqrt(78))\/sqrt(6) + 2) + 2)*-4)**2.\nAnswer: -1152*sqrt(13) + 4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*v = 2303, -2*r - v = 2*v + 923. Let s = r - -328. What is the remainder when 2\/11 + (-636)\/s is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 2. Let d(i) = 19*i + 131. Let r be d(-5). Suppose 4*g = -w + 7*g - 4, 0 = -5*w + g + r. What is the greatest common factor of w and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 6*x**2 + 7*x + 16. Let d be r(-5). Let v be ((-1)\/d - 0)*(-15)\/5. Determine h, given that v*h**2 + 1\/2*h**3 + 0 + 0*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9221 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0 - 1\/3*s**3 + 0*s**2 + s. Let o(m) be the second derivative of -m**4\/12 - 4*m. Determine o(l(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 140879441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 654*t**2 + 5*t + 3. What are the prime factors of i(2)?\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -466, -677, -1030, -1525, -2162, -2941, -3862?\n\"Answer: -71*p**2 + 2*p - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 2. Suppose 4*v - 15 = -v. Suppose -v = -4*l + 5. Calculate the least common multiple of l and i(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 659.49.\nAnswer: -661.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - (4 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**5\/20 + 5*p**4\/6 + 4*p**3\/3 - 7*p**2\/2 + 6*p. Let d be a(-9). Suppose -d*g - 4 = -30. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*j + 90113, 2*u + 4007 = 4*j + 49031. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjzjzzzzj. What is prob of picking 2 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63103492.\nAnswer: 2, 89, 177257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 3:41 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31046222 (base 9) in base 10?\nAnswer: -14911148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:10 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(147)*-1 + sqrt(147))*-3 - ((sqrt(36)*-2)\/sqrt(12) + (sqrt(300) + 1 - sqrt(300))))*-2*5)**2.\nAnswer: -3600*sqrt(3) + 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2093 - 1056. Suppose 0 = 4*j + 794 - 8502. Let i = j - p. Round i to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 8, 17, 26, 35?\n\"Answer: 9*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2075147, 4150292, 6225437, 8300582, 10375727, 12450872?\n\"Answer: 2075145*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**6\/40 - g**4\/24 + 3*g**2. Let y be k(-1). Solve -t + 4*p - 16 = 0, -y*p + 12 = 2*t - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147486 is divided by 48766?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, u: 2, n: 15}. What is prob of picking 1 u and 3 n?\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24965*j**3 - 369*j**2 + 10*j.\nAnswer: -149790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 11*r + 16. Let o be d(-10). Let u be (-5)\/(-8) - 8\/64. Is u >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - (-4 + 3)) + -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 1. Let q be r(-3). Let m = -5 + q. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*o**2 - 18*o**2 - 9*o**4 + 4*o**2 + (1 - 1 + 4*o**2)*(3*o - o**2 - 3*o)*(-3 + 2 - 2).\nAnswer: 3*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78200678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 1. Suppose 17*v - 12 = 13*v. Suppose v*j - 7 = 2*r, 3*j - 1 - 1 = r. Let l(z) = 7. Give j*i(g) - l(g).\nAnswer: g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/244*(-3)\/(-207). Let r = -37182\/7015 + f. Find the common denominator of -41\/8 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/5 - 6810*w**2 + 144737856*w\/5 + 1596239128\/5 = 0. What is w?\nAnswer: -11, 8518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -71, 10, 1, 4 in increasing order.\nAnswer: -71, 0, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/2 - 21\/14. Let t(x) = 28*x + 7. Let d(z) = -6*z - 1. Let l(g) = -4*d(g) - t(g). What is l(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/144)\/(12\/8)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895337 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176.155 + -0.155. Let z = o + -179. Which is the nearest to -3? (a) -0.5 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + g - 79 = 0, i + 0*g = 5*g - 11. Let u be i\/16*(1 - 1). Is -2\/1073 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -241, -0.1 in ascending order.\nAnswer: -241, -0.1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 24 - 36*m**2 + 900*m**3 - 109*m - 899*m**3 + 13*m**2. Let j be l(27). What is the nearest to -1 in j, 1\/8, 9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -20.9. Let c = 5699 + -5696. Put o, -1\/3, c in ascending order.\nAnswer: -1\/3, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 28 + 3*c**2 + 0*c**2 as q + r*c + w*c**2 and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 4*y**2 - 7*y - 25. Let n be k(-4). Solve -4*u - 18 = n*a, -4*u = -6*u + 5*a + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -17*h - 17. Let c be 2\/(-10) + 258\/15. Let m = c + -26. Let r(l) = 2 + 0*l + 2 + 4*l. Give m*r(u) - 2*q(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39\/154 - 9\/77. Which is the closest to 1\/3? (a) 3\/14 (b) -4 (c) 1\/2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f - f + 1 + 4*f - 2*f**2 with respect to f.\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {v: 4, e: 1, b: 3, r: 4, m: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 38. Let q be w(9). Suppose a + 4*n - 33 = 0, a + 2*n - 10 = q. What is the greatest common factor of 90 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 0.008, -0.772, 0.43 in ascending order.\nAnswer: -0.772, 0.008, 0.43, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117*f**2 + 117*f**2 + 24*f**3 + f**3 + 1 - 1 + (-5*f + 5*f - f**3)*(-2 + 4 - 4) + 2*f**3 - 4*f**3 + 3*f**3 + (0 + 5 - 3)*(2*f**3 + f**2 - f**2).\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37333 and 7067?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949051?\nAnswer: 949051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 161362765.368?\nAnswer: -161362764.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22651867171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 142059*o + 1278555. Determine w(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1021*m - 374*m - 358*m - 428*m.\nAnswer: -139*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)\/sqrt(4))\/sqrt(7) - sqrt(7)) + (sqrt(7)*-1*3)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52026300 rounded to the nearest 100000?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6384 - -108408\/17. Let b = 821\/85 + s. Suppose 3*c + 1 = -2. Which is bigger: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4, 5*y - 5*h - 98 = 407. Let g be -398*6\/4*(-34)\/y. Suppose g = -v + 828. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 165a - -2?\nAnswer: 165c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1738\/77 - 3\/(-7))*19.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*n**2 + 60 + 52 + 58*n**2 - 111 to p*n + d*n**2 + y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**3\/3 - r**2 + 4*r. Let v = 5 + -10. Is a(v) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090806324 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 754986096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560 by 280.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 358052*j. Let d(n) = -5*n. Give y(d(k)).\nAnswer: -1790260*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*2\/(-8)*2. Let n = r - 1. Suppose -w + n = 2. Is w > 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -446 + 795. Let w = 347 - q. Sort w, -1\/6, 0.06, 1.\nAnswer: w, -1\/6, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 457657, 915336, 1373033, 1830748, 2288481, 2746232, 3204001?\n\"Answer: 9*h**2 + 457652*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8528823 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 820, -1, 0.3, 4\/5, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 9600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l. Let f(k) = -7*k**2. Determine f(q(x)).\nAnswer: -1575*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142725 - 142725.1. Let z = -0.4 + 2.4. Which is the nearest to z? (a) 0.06 (b) -4 (c) p (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**4 - 8*i**3 + 21*i**2 - 9*i. Let v(p) = -7*p**4 + 31*p**3 - 85*p**2 + 33*p. Let z(y) = -22*k(y) - 6*v(y). Factor z(q).\nAnswer: -2*q**2*(q - 3)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4833, -1, 3 in descending order.\nAnswer: 3, -1, -4833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2339 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.013009 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 53 = 57 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 145 = 5*j - 52, j = 3*b - 162. What is the remainder when 367 is divided by b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3069235467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23837 + 33201. What is the ten thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 30*d**2 + 13*d + 7. What is the units digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 8. Let t = -55 - -55. Solve -2*q + q + z = t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/(7\/21). Are l and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-70))\/(144\/(-112)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264819183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 17*z - 6137 = -4*o, -5*o = 4*z - 7620. List the prime factors of o.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 36*h - 16. Let i be u(-36). Let b(q) = q**2 - 8*q - 7. Let o be b(i). Calculate the greatest common factor of o and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 9.0769?\nAnswer: 10.0769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, i: 11}. What is prob of picking 2 g and 2 i?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d + d)*(3*d - 3*d + d) + 3 - 3 - 102314*d**2 + 99315*d**2 to q + t*d + n*d**2 and give n.\nAnswer: -2998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h + 42. Let l(f) = -7*f - 43. Let t(m) = 5*l(m) + 4*s(m). Let q be t(-17). Solve 2*u**2 - q*u**2 - 2*u - 6 + 2 + 4*u**2 = 0 for u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69183596.\nAnswer: 2, 787, 21977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngppbpgpnbn. Give prob of sequence nn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 4, -0.056?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1107085, -1106824, -1106563?\nAnswer: -1106302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (32 - 22 - -3) - 53\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*r, 12*k - r - 7 = 10*k. Suppose -1871 = -2*t - 4*q + 1685, -5*q = k*t - 7118. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-20) - (-5 - (-84)\/35)) + 0. Let t = -22 - -1. Sort -4, r, 2, t.\nAnswer: t, -4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - 169*x**5 - 22*x**5 + (-3*x - 3*x + 5*x)*(-24*x**4 + 36*x**4 + 97*x**4).\nAnswer: -300*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 2*n - 2. Suppose -36 = 5*r - r. Let j be ((-2)\/(-4))\/(r\/36). Let p(x) = -14*x + 8 + 4*x - 5*x**2 + 2. Determine j*p(t) - 11*y(t).\nAnswer: -t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 11*u + 36. Let z be s(-6). Let l(q) = q**2 - 3*q - 22. Calculate l(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -2*i**5\/35 - i**4\/7 + 8*i**3\/21 + 8*i**2\/7 + 1. Factor m(q).\nAnswer: -2*q*(q - 2)*(q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.852967 to two dps.\nAnswer: 15.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2780+-1.1\nAnswer: 2778.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11874 = -j - q, -2*j + 2*q = -15818 - 7934. Let o be (-2)\/7 - j\/(-35). Let r = o + -116. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c - 5. Solve -a - 5 + c = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 761903.\nAnswer: -3\/761903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -93*0.069027\nAnswer: -6.419511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226*v**6 - v**5 + 4*v**2 + 2*v + 1?\nAnswer: -27120*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 2)*(4 - 4 - 5*d) + (-5 + 1 + 3)*(0*d + 3*d - 7*d) + 42 - 32*d - 42 - d - 3*d - d in the form p + z*d and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 237214 - 5c?\nAnswer: 237185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5\/5 + 156*l**4\/5 + 1096*l**3\/5 - 2088*l**2\/5 - 1372*l - 3828\/5 = 0.\nAnswer: -29, -11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43254, -43320, -43378, -43428?\nAnswer: -43470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/10 and 11 + -9 + 97\/(-96).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2657199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/19? (a) -6886 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297814 is divided by 297661?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 939073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 1)*(-3 + k**3 + 3) + (2*k + k**2 - 2*k)*(-3*k - 2*k + 2*k) to the form p*k + f*k**2 + q*k**3 + u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (30 + -15 + -20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(11*(-3)\/9873). Let s = i + -299. What is the nearest to -2 in 1\/4, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.59071 and 781.84.\nAnswer: 789.43071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/2 + 2\/(-30). What is the closest to b in 0.3, 0.03, 5\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of -24*(-15)\/(-6)*64\/(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(0*z**2 + 9*z**2 + z**2 - 2) - 2*z**2 - z**2 + 5*z**2.\nAnswer: -18*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 - -0.07. Let n = -0.1306 + 3.1306. Which is the third biggest value? (a) n (b) -2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = -2. Let j = -6 - -13. Let s(o) = -4 + j*o + 3 + 0 - o. Determine s(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 88074*u + 5624448.\nAnswer: 3*(u + 64)*(u + 29294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 - 4 - n**3 - n**2 + 31*n + n**2 - 35*n. Let d(y) = -y**3 + 5*y**2 - 4*y - 4. Let z(o) = 5*d(o) - 4*h(o). Determine z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 6*u = -1672. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 11 + -23.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3 = a, 2*h + 120 = a + 119 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/8)\/((-25)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)*v)\/(v*(((v*(v**27\/v*v)\/v*v)\/v)\/v)\/v))\/(v**(22\/3)*v**(-2\/83)\/v) assuming v is positive.\nAnswer: v**(-8543\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 3 - 2*x**2 + (1 - 1 - 2*x)*(0*x + 4*x - x).\nAnswer: -8*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v - 12. Let o be y(-12). Let x = 106 + o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -142129.1634132?\nAnswer: 142129.1634132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 2\/(-13) - (0 - (-123)\/(-39))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, g: 1, m: 1, o: 2}. Give prob of sequence vg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 2. Let s be 1 + (-2 - -3) + -2. Let a be c(s). Suppose b - 6 = -a*m - 0, -5*m = 4*b - 9. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + sqrt(5)*-2 - sqrt(5) - sqrt(35)\/(2*sqrt(7)).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 + -79.5. Let d = -2.2 - -0.2. Let h = -0.16 - -8.16. What is the closest to d in h, 4\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, 2\/9, 0, 0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -396356, -396359, -396362, -396365, -396368?\n\"Answer: -3*i - 396353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (190\/1045)\/(1\/66). Suppose -t = -0*t. Solve 4*w + v + 4 + 9 = t, 5*w + x = 3*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1049263 to the nearest one hundred.\nAnswer: -1049300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(112)\/sqrt(4))**2 + sqrt(7) + sqrt(7) + sqrt(700) + -1 + sqrt(700).\nAnswer: -1 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 + 0*v - 38210*v**4 + v - 3*v**5 + 38212*v**4 - 2*v**5 + 3*v**3 - 3*v**3 + (-4*v**3 + 4*v**3 + v**3)*(0*v + 2*v**2 + 0*v) + 1 - 1 - v**5.\nAnswer: -4*v**5 + 2*v**4 + v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -3, -4, 11663 in decreasing order.\nAnswer: 11663, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*c + 276*c + 306*c + 61 - 876*c.\nAnswer: 7*c + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 261*a + 6176. Is 60 a factor of x(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237059.\nAnswer: 37, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v, 5*f - 14 = -v - 4. Let m(x) = -5*x**3 - 5*x**2 + 4*x**3 - 7*x + 13*x**f. Let k be m(7). Solve k = 5*q + 4*n + 7, 3*q + 0 = 3*n - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175 - 140. Suppose -4*f = -c - 67, -5*c + m + 14 = 4*f. Solve 8 - f = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/945 and -89\/23520.\nAnswer: 211680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**5\/4 - c**4\/12 + c**3\/3 - c**2\/2 - 42*c. Calculate m(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 3*i + 15 = 5*p, 4*i = 5*p - 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120754*p**2 + 7*p + 3905679 wrt p?\nAnswer: -241508*p + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*q + 24 = 56, j = q + 5. Let x = -7 + -2. Let p = -7 - x. Solve 4*b - j = 2*w, b = -p*w - b + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3676690742 rounded to 3 decimal places?\nAnswer: -0.368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b2 (base 14) to base 10\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1344) + sqrt(525)*-4)\/(4*sqrt(77)\/(sqrt(11)*-1)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, e: 1, i: 5, k: 4, l: 4}. Give prob of picking 1 k and 3 i.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104)*-4 + sqrt(104) + 5*(sqrt(104)*-2 + sqrt(104)) + sqrt(104))*6)\/(-6*-6*(sqrt(8) + sqrt(8) + sqrt(96)\/(5*sqrt(12)))).\nAnswer: -35*sqrt(13)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 39*l**3 + l**2 + 2*l + 1. Let u(z) = z**3 + z**2 + z. What is n(g) - 2*u(g)?\nAnswer: 37*g**3 - g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62949\/14 or -4497?\nAnswer: -4497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -565, -618, -671, -724?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2 - sqrt(63))\/(-6*(sqrt(36) + sqrt(9)))*-4.\nAnswer: 14*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 + -105. Let n = o - 39. Suppose w - n = -8. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.292045175*5.\nAnswer: 1.460225875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**3 + 4*j**2 - 5*j + 4. Let n be f(3). Let i = n - -242. Suppose i = 3*a + 21. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 35*z = 5. Suppose -6 = 4*l - 7*l. Let p be 1\/(-1) + l + -1. Solve p = f - 3*s - 14, -z*f - s + 2*s = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + -1*sqrt(245) + (sqrt(245) - -1*sqrt(245))**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1820, 7472, 17098, 30866, 48944, 71500, 98702?\nAnswer: 130718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 341569*a - 244951?\nAnswer: 341569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144315 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 7*y + 8. Let c be f(-6). Suppose 483 = 4*b + x, -c*b + 6*x + 239 = 9*x. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 9. Determine w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.5 rounded to the nearest integer?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/15, -1\/6, -5, 0.2, -0.03788?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.11 (b) -4\/5 (c) 0.1 (d) -1\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 359.55 - 357. Let h = 28.69 - x. Round h to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:51 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - s + 1. Let j(i) = i**2 + i - 1. Let q(o) = -j(o) - v(o). Let t(f) = 16*f**2. Give t(q(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.587 rounded to the nearest integer?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1653*u + 38*u**5 - 1653*u + (7*u - 2*u - 3*u)*(2*u**4 + 0 + 0) - u**5 + 0 + 0.\nAnswer: 41*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -1\/77 (b) 1081 (c) 22 (d) 5 (e) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 353 + -329. Let l = -8 + -14. Let i = r + l. Which is the closest to -1? (a) 3\/2 (b) 6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 3*k**2 + 3*k**2 + (k - 2 + 2)*(-k + 2*k - 2*k) + 17*k**2 - 13*k**2 - 7*k**2)*(-6 - 2*k**2 + 6) + (0*k - k**2 + 0*k)*(-3 + k**2 + 3).\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 + ((-7)\/((-672)\/3366))\/((-6)\/8)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -30*o**3 - 3*o**2 + 3*o + 9. Let l(b) = 45*b**3 + 4*b**2 - 4*b - 13. Calculate 7*k(q) + 5*l(q).\nAnswer: 15*q**3 - q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 10. Let s be y(-5). Solve -3*g + g = s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 15. Suppose -n - t*i - 25 = 0, -n - i - 5 = 3*n. Suppose n = 2*g - 22 - 48. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**2\/2 - 9. Let q(x) = -3*x. Calculate j(q(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1, 39.\nAnswer: -2, -1, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a week in hours?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:25 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4 and -115\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4 + 4*j**5 + 867*j**4 - 25*j**4 + 50176*j**3 + 52*j**4 = 0. What is j?\nAnswer: -112, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32530 by -10.\nAnswer: 3253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 8*a**2 - 4*a - 30. What is o(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 6*h - 50231*h**2 - 6*h.\nAnswer: -h**3 - 50231*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2892\/5*(-100)\/(-60) is divided by 231.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 985 and 1985563?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3*t)*(-50*t**2 + 8*t**2 - 11*t**2) + (7*t - 2*t - 2*t)*(3*t**2 + 3*t**2 - 3*t**2) as q*t**2 + a*t**3 + i + d*t and give a.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 1999 - 236. Suppose -6*a - k = -a. Let w = 197 + a. What is w rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 + 24*p - 17. Let r(x) = 3*x**2 - 12*x + 9. Let j(g) = 4*c(g) + 9*r(g). Let f be j(-9). Let i = -19 + f. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t - t + 2*t + 1 - 1 + (4*t - t - t)*(5 - 2 - 1) + 0*t + 2*t - 3*t)*(-1 + 0 - 1)*(66 - 66 + 33*t).\nAnswer: -264*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (8 + -1 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424204 + -44?\nAnswer: 424110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196136837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 5*c + 24. Let b be o(4). Let x(v) = v**3 + 11*v**2 - 13*v + 4. Calculate x(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*x**2 + 3*x**2 - 10*x**2 + 0*x**2 - x**2 - x**2 + (x**2 - 2 + 2)*(0 + 2 - 1))*(3*x - 5*x + 4*x) in the form z*x**3 + r + p*x**2 + b*x and give z.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3239\/8 + -405. What is the smallest value in 0.2, q, -196, 5, 1\/13?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*o + 6489 + 27086 + 12217. Calculate the least common multiple of o and 10.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -17*a - 149. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -16, -33, -54?\n\"Answer: -2*n**2 - 7*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 3. Let b be r(6). Let x = b + 30. Solve -x*n + 2 = -13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.16084 seconds to milliseconds.\nAnswer: 57160.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + v**3 - 6)*(14 - 10 - 2*v + 3*v).\nAnswer: v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l. Let o(j) be the second derivative of 0 + 1\/3*j**3 - 27*j + 0*j**2. Give p(o(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43649.0442 + 58.\nAnswer: -43591.0442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10953571 and -18?\nAnswer: -197164278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4845 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: Suppose -2*g + 7 = 5. Calculate the lowest common multiple of 10 and 1 + ((-16)\/(-4) - g).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85527283, 85527281, 85527279?\nAnswer: 85527277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, o: 1, u: 3, i: 2}. What is prob of picking 2 i and 1 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -266858?\nAnswer: 2\/133429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36544 + -1?\nAnswer: 36543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 1)*(-4*l**2 + 0*l**2 + 3*l**2) + 13*l**2 + l - l as z + n*l**2 + y*l and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-15) + 26\/6. Let i(u) be the third derivative of u**4\/4 - u**3\/6 - u**2. Is i(k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/8)\/l**(9\/4))**(1\/79) assuming l is positive.\nAnswer: l**(-21\/632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102194546.\nAnswer: 2, 3061, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 0.26406?\nAnswer: 0.06406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b + 2850 = -19*b. Let a = 499 - b. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 27*o**2 + 312*o - 8484. Give l(29).\nAnswer: -1118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*f**4 - 6*f**3 - 4*f**2 - 109*f + 1532128 wrt f?\nAnswer: 132*f**3 - 18*f**2 - 8*f - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -44*b + 55. Let h(n) = 6 - 5 - 302*n + 301*n. Calculate g(s) - 55*h(s).\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/474 and (5\/(9450\/(-1743)))\/((-4)\/(-6)).\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 847*j**6 - 46*j**4 + 619*j**3 + 45*j**2 - 50996?\nAnswer: 101640*j**3 - 1104*j + 3714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**3 + 7. Suppose 4*b - 2 - 18 = 2*l, -2*l = -3*b + 15. Let p(o) = -4*o**3 + 5. Give b*d(r) - 7*p(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66864237 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3225, -3205, -3183, -3159, -3133?\n\"Answer: q**2 + 17*q - 3243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -946010*b**2 - 561461?\nAnswer: -1892020*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -4)*(-14)\/(-4). Let q(c) = 4*c + 3. Let z(w) = 11*w + 10. Let d(y) = -8*q(y) + 3*z(y). Let b be d(i). What is the closest to -0.1 in b, -4, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 13 - 8*z + 7*z + 6 as k + a*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 35*z**2 + 2*z - 41. Let g be m(6). Suppose 5*f - g = -4*r + 110, 5*r - 1080 = -4*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d + x, 20 = 3*d - 4*d - 5*x. Suppose d = -4*z + 30 - 10. Find the third derivative of -q**z + 4*q**6 - 5*q**2 - 2*q**2 + q**5 wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, -17, -50, -91, -140?\n\"Answer: -4*r**2 - 13*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256 - 252. Suppose -76 = -4*i + 3*x, -i - 78 = -k*i - 3*x. What is the remainder when 109 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 1 + (2 + 4 - 18 - -21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, k: 4, i: 1, e: 3}. Give prob of sequence vevk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11060+482633.27\nAnswer: 493693.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*(-2)\/(-8)*-1. Let l(d) = -2 + 3*d - 5*d + 5*d. What are the prime factors of l(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1688511 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 20 = 2*b. Is (-1 + (-38)\/b)*2 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(22\/7)*w)\/w*w\/w**14)\/((w**(-17)*w)\/(w**(-2)*w)) assuming w is positive.\nAnswer: w**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-475)\/190)\/(150\/12). Let y be (-3)\/14*4\/3. Which is the nearest to 0.2? (a) -22 (b) -0.1 (c) y (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + 83. Suppose 170*i = j*i + 39007728. Let b = 6003864 + i. What is b rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*(351\/30)\/(-39)*-5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1044141, 1044158, 1044193, 1044252, 1044341, 1044466, 1044633, 1044848?\n\"Answer: x**3 + 3*x**2 + x + 1044136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 21*z - 107. Let g be r(-25). Let t be (2\/(-1) + 0)*1. Let s be (g - -8) + (t - -1). Solve s = 3*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9)*9\/(-3). What are the prime factors of y*(-5)\/(-5)*-1 - -241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -67*w + 5703. What is s(71)?\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = 10*n - 15*n. Let x = 52 + 90. Let l = x + n. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 2. Let k(b) = -13*b - 578. Calculate -k(p) - 4*q(p).\nAnswer: p + 586","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16160.52 rounded to 0 decimal places?\nAnswer: 16161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - (-2 + 14 - -1)) + 19?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w = 12*w + 33 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n - 4 + 4 + (-3 - 3 + 4)*(1 - 1 + 2*n) + 12*n - 8*n - 5*n to j*n + z and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9426 - -9428. Let c(j) = j**2 + 6*j + 2. Let l be c(-8). Put b, -4, l in ascending order.\nAnswer: -4, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 + -16 - 29) + -7 + 1 + -5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 6:30 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1159761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccgg when four letters picked without replacement from ggcgggggggggcggggc.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 10 - 10)*(-c + 9*c - 2*c)*((3 + 2*c - 3)*(4 - 1 - 1) - c + 2*c + 0*c + 2*c - 2*c - c + 17 - 16*c - 17).\nAnswer: -288*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -832.76 + 830. Let k = 591.86 + -598. Let j = d - k. What is j rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6\/5)*(n\/(n**7\/n)*n)\/n*(n**3*n)**(2\/7) assuming n is positive.\nAnswer: n**(-177\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 56375 - -214\nAnswer: 56589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317571977 divided by -251.\nAnswer: 1265227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20425998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1279226.4 and 5.\nAnswer: 6396132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.2 times 249799?\nAnswer: 7793728.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.26 - -0.36. Let x = -1.9 + 2. Is x greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 3*z**4 + 4 + (4*z - z**2 - 4*z)*(0 - z**2 + 0).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*9\/(-54)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.07, 3, 0.12 in ascending order.\nAnswer: 0.07, 0.12, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77614 is divided by 25871.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 3*r + 2. Let k = -2 - 0. Let s be ((-3)\/k + -1)*-20. Let d(v) = 2*v**2 - 7*v + 5. Give s*h(f) + 4*d(f).\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 9\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7725101 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -62676475.2 rounded to the nearest one hundred thousand?\nAnswer: -62700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, 103, 1122, 3131, 6466, 11463?\nAnswer: 18458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/19))\/(d**27\/d) assuming d is positive.\nAnswer: d**(-479\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/3)*x*x)**15)**(-27)\/(((x\/x**(2\/21))\/x*x*x*x)\/((x*x*x**(6\/11))\/x))**(-26\/3) assuming x is positive.\nAnswer: x**(-927386\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-81))\/(((-78)\/(-4))\/(-3))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/15 + 1\/(10\/(-6)). Suppose -b*m - 21 = -5*q + 69, m - 93 = -4*q. Calculate the greatest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8)*(2\/8)\/((-429)\/(-44))\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:34 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-17850)\/(-735) - 180\/140\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3873, -4, 5, -5.\nAnswer: -5, -4, 5, 3873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005853 rounded to six dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -71. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 2:19 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 13 = 3*m + v, -5*m = 5*v + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 h when three letters picked without replacement from hwwh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from wqqwqqqqqqwqwqwqqq.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45305*k**2 + 45295*k**2 - 90615*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 2546496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100416 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 222\/20*2493\/6. Suppose 0 = t + t - 9216. Let r = t - m. Find the common denominator of r and 47\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1473, -1470, -1467, -1464?\n\"Answer: 3*a - 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-33)))\/j**(3\/14))\/(j*j\/(j*j\/(j*(j\/(j*j*j*j**(-4\/9)*j))\/j))*(j\/j**(-13\/3))\/j) assuming j is positive.\nAnswer: j**(3907\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2 (c) 5 (d) 14390\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3 - 92*d**2 + 104*d + 192 = 0. Calculate d.\nAnswer: -24, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*k = 56, -4 = 2*u + k - 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3810, 1\/248, -7?\nAnswer: 1\/248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 1. Let c(v) = v**2 - 10*v + 23. Let b be c(4). Let m(h) = -2*h**2 + 7*h - 9. Give b*m(k) + 6*s(k).\nAnswer: 2*k**2 - k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**3\/3 - 9*w**2\/2 - 5. What is the remainder when z(-8) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -7. What is the least common multiple of (36\/15)\/(p\/(-20)) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**3\/3 + 8*h**2 - 5*h - 234. Calculate n(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1827389.7 months to millennia.\nAnswer: 152.282475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)*2*-1)\/(sqrt(288)\/sqrt(24))*3.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13618726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**2*o*x**4 - 2*l**2*o - 16*l*x**4 - 3*l*x - 2*o - 10*x wrt x?\nAnswer: -36*l**2*o*x**2 - 192*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109153?\nAnswer: 11, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -17. Let a(x) = -22*x**2 + 2*x - 1. Let y be a(1). Let z = y + 31. What is the highest common divisor of z and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 35*y - 7425. Let i be -3*1\/((-3)\/5). Suppose 0*g + i*g = y. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -0.103, -2\/5, 0 in decreasing order.\nAnswer: 0, -0.103, -2\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 13*z + 2 + 2 in the form w*z + c and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177c (base 16) to base 10.\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 + 86 = -130*x - 974 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 9 = -20 - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1038 and 866581566?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r - 151960 + 42121 = 0. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -26 - 10) + (-6 - -7) + -21?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - o**2 + 3*o - 4. Let f be (2*8\/24)\/((-1)\/(-3)). Suppose -5*p - f*r + 36 = 0, 2 = -r - 0*r. Calculate the remainder when p is divided by g(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {s: 7, v: 2, k: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*k = -2*y - 6, -4*y - k = 0. Suppose 8 + 2 = b. Suppose 4*q - b*q - 18 = 0. Sort 5, y, q in increasing order.\nAnswer: q, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)*h)**(-8\/3) assuming h is positive.\nAnswer: h**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10.16 and 45.891?\nAnswer: 56.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 1024*c - 15125. Give x(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 500*n - 25 + 1 - 93*n + 474*n. Is y(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2768268 to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-6) - 2\/(-6). Suppose -n = j + 4. List the prime factors of (-16)\/j*27\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - r**2 + r - 2. Let j be g(-2). Suppose 11 = 2*s + 31. Let b be 170\/50 + 4\/s. Solve j = -b*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47916, 48078, 48348, 48726?\nAnswer: 49212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (51*(-1)\/(-5))\/(3\/15). Suppose -2 = -3*f - 11, -3*h = -4*f - u. Factor 0*g**2 + g**2 - h*g**2 + g - 4*g.\nAnswer: -3*g*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6943 - 6943 + 12544*v - 12544*v - 4*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -12 - 28. Suppose 108 = g*l - 4*l. Let h = l + 59. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-162)\/(-16) - (-10)\/(-40) and 22\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 27 = -9. Let s = 32 + j. Suppose h = -2*h + l + s, l - 34 = -5*h. Solve -h*z + 6 = -3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*d = -679*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + c**2 - 3*c**2)*(4 - 4 - c + (-3 + 3 + 1)*(3*c - 3*c - 2*c)).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + 12. Suppose 0 = 3*y - 3, -6*i + y = -2*i - x. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 17. Let v = u + -6. Suppose -5*o = -0*g + v*g - 15, 3*o - 19 = -5*g. Let x(y) = y**2 - 5*y + 2. Determine x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 823608598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5*p = 40, 0 = -104*a + 94*a + p + 44 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53, -88, -123?\n\"Answer: -35*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2126, 1881, 1464, 869, 90, -879?\n\"Answer: -l**3 - 80*l**2 + 2*l + 2205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192434 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 483550.3 centuries in decades?\nAnswer: 4835503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**5\/60 - c**4\/12 + 5*c**3\/3 + 96*c**2. Is z(-7) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/5 - 202841*l**2\/5 + 81135*l + 608517\/5 = 0. What is l?\nAnswer: -1, 3, 202839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -28. Suppose -5*o = -2*d - 350, 0 = 5*o - 5*d - 168 - 182. Calculate the remainder when o is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121968 by 21.\nAnswer: -5808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -858*q**2. Let w(g) = -1611*g. Give k(w(o)).\nAnswer: -2226785418*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -153 - -152. Let p = 581\/11 + -53. What is the nearest to h in p, -2\/3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111001 (base 2) to base 11.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8118536873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*t + (3 - 3 - 2)*(t - 4*t + 4*t) - 2*t + 3 - 3 + 9 - 9 - 13*t - 4 + 5*t + 4 to the form q + z*t and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Let u be (-4 + 2)\/((-2)\/3). Let b = u - -1. Calculate the least common multiple of b and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1279?\nAnswer: 5\/1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12 - (2 + 12376\/(-3120)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*y + 360 = 1177 + 539 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + l)*(l + 4*l - 2*l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 29*a - 25. What is v(-14)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6382460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(125) + 1)**2 + -1.\nAnswer: -379 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -37145.\nAnswer: 7\/37145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -5)*(-1198)\/(-10). Let k = f + -121. Let l = 16\/73 + -4574\/219. Calculate the common denominator of l and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 - f. Let g(s) = 6*s**2 - 9*s. Determine g(o) - 4*p(o).\nAnswer: -4*o**3 + 2*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*sqrt(2448) + -4.\nAnswer: -1 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*w - 21586 - 8444 = 105*w + 365*w for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (29 - 36) + -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -368, 0, 5 in decreasing order.\nAnswer: 5, 0, -78, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 406.9 - 723.8. Let r = z - -288. Round r to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39119921?\nAnswer: 39119921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 44515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 + 195. Let y = d - -63. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*y - 4 = 0, -4*y - 153 + 121 = -184*a + 187*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14619541.9999945 - -14619520. Let w = 22 + y. What is w rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*v, 2*v = -a - 2*a. Let q = a + 14. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0.5 (b) -3 (c) -2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u + y - 66, -4*u + y = -60. Calculate the greatest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 98*a**2\/3 + 1336*a\/3 - 4480\/3.\nAnswer: 2*(a - 28)*(a - 16)*(a - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) -1.52 (b) 6 (c) 2\/15 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 803, 571, 339?\n\"Answer: -232*c + 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 9196.\nAnswer: 45980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = -9. Does 7 divide h\/((-12)\/9) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hshsusuhhwpusuhh. What is prob of sequence sp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 670514632?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78731.7m in micrometers?\nAnswer: 78731700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0 - 9*b - b**2 - 6 + 0*b. Let n be t(-8). Suppose -3*c - n*g - 8 = 0, -5*c + 0*g - 12 = 3*g. Solve c = -2*z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-36) - (-35)\/36.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*((s\/(s**(3\/2)*s))\/s)\/s))*s*s\/(s*s**0)*s*s*s*s)**(-2\/23)*((s*s**3*s)\/s**2)**10 assuming s is positive.\nAnswer: s**(685\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(9*9\/81*(-85)\/(-5)). Find o such that 38\/17*o**3 - m*o - 16\/17*o**2 - 14\/17*o**4 + 0 = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -196162, -392323, -588484?\n\"Answer: -196161*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664, -1333, -2002, -2671?\nAnswer: -3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 9214*h - 9215*h = 4, 4 = -2*w - 5*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pwppwwpppppppp?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/12)\/(2\/(-9)). Let b(m) be the first derivative of 0*m**2 + 0*m**i + 0*m**4 + m - 1\/5*m**5 - 1. Differentiate b(s) with respect to s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12920 - 12916. Put -16, -120, v in descending order.\nAnswer: v, -16, -120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m, k + 3*m - 43 = -k. Suppose w = z + 3*z - k, -4*z - 2*w = -2. Calculate the remainder when 7 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*h*v*w**3 - 4085*h*v*w - 9*h*w**4 - 14*h*w**2 + 73*v*w wrt w?\nAnswer: -150*h*v*w - 108*h*w**2 - 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/4 + 21*k**2\/2 + 147*k - 1. Factor x(z).\nAnswer: 3*(z + 14)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*v = -4*v + 14, -2*a + 9 = v. Let x be (a + 0 + -2)\/3. Let s be x\/((1 - 0) + 1). Put s, 4, -5 in decreasing order.\nAnswer: 4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 14*s**2 - 12*s + 16. Let o be w(-13). Suppose r + 6*v - v + 23 = 0, 0 = 3*r + o*v + 9. Solve r*y - 6 = 0, 0*t = -2*t - 5*y + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -22431.\nAnswer: -22431.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146*a**3*o*q**2 - 109*a**3*o*q + 3*a**2*o*q + 3*a**2 - 3*a*o*q**2 + 39*a*o*q wrt a.\nAnswer: 876*o*q**2 - 654*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83.869 - 83.989989. Let d = 0.121 + s. Round d to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 + 9 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6643350 (base 8) to base 3\nAnswer: -10100211011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(133) + -2*sqrt(133)*-6))\/((sqrt(700)*-2 + sqrt(700))*-2).\nAnswer: 13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 12*t + 12*t + t**2)*(-23 + 5*t**2 + 23) as l*t**2 + q*t**3 + j + f*t + k*t**4 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150.89 + -140.89. Is j greater than or equal to 1207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -353, -508, -661, -812?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*f - 2544 + 504 = 63*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 = -13. Suppose -z*s = -0*s. Which is the closest to s? (a) 1 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, w: 1, t: 1}. What is prob of sequence owo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0*r**4 + 0*r**7 + 0*r - 1\/168*r**8 + 1\/30*r**5 + 0*r**3 + r**2 + 0 + 0*r**6. Find the third derivative of j(w) wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118861.969 rounded to the nearest ten?\nAnswer: -118860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*i = -21. Suppose 0 = -r + i. Solve o + 5*z + 10 = -0, -r*o + 5*z = 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48654673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g - 1833 = -3*u - 66*g, 1216 = 2*u + 4*g. Calculate the lowest common multiple of u and 671.\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1. Let x(d) be the second derivative of 5*d**4\/12 + 2*d**2 - 2*d. Let m(y) = 4*f(y) - x(y). Let s(k) = 2*k. What is m(s(i))?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-18)\/45)\/((-2)\/90)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1473*w - 94544 = 1530 - 9167 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(((-60)\/(-10))\/(-30)*(-5)\/1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17001 is divided by 694.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 42 = -707. Let j = 110 + g. Calculate the highest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -162, -373, -680, -1089, -1606?\nAnswer: -2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**3 - 2*a**2 + 20*a - 77. What is the units digit of r(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**5\/240 + a**4\/24 + 5*a**3\/24 - 85*a**2 + 161. Let v(q) be the second derivative of u(q). Factor v(d).\nAnswer: -(d - 5)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 1 + 3)*(-11 + 3 + 7 - 28*c) to g + a*c and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377327557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9525 and 4445?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.19 + -0.01. Let m = v + -2.2. What is m rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127900511?\nAnswer: 9181, 13931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 7, x: 1, t: 5, s: 1}. What is prob of picking 1 o and 1 s?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 12*q**3. Let m be w(1). Let g = -153 + 189. Calculate the greatest common factor of g and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1296)\/60)\/(-3 - 11077\/(-3685)). Which is the second smallest value? (a) -2\/3 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*c + 6*j + 12, -3*c - 2*j - 11 = 0. Is c < -9\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from clxmxlem.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 + 24*p**2 + 28*p**2 + 2195*p**3 - 73*p**2.\nAnswer: 2195*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4 + 5. Suppose v*n + 4*y - 10 = 0, y + 5 = -3*n + 3. Let d be (6\/(-5))\/(46\/(-20) - n). What is the highest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.87, 0, 3, -109, 139.5, -3 in descending order.\nAnswer: 139.5, 3, 0, -3, -3.87, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - 434\/35)\/((-6)\/(-100)). Let r = w + 360. Solve 0*d - 5*d = -r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 15, -2*f + 33 = -3*u. Suppose 3*d + 0 = f. What is the greatest common factor of 16 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = -3*i + 394. Solve i*o + 6 = t - 13, -3*o - 4*t = 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 24 = -6*q. Suppose 0 = -4*t + 53 + 15. Solve 2*c = 3*c + q*d, -4*c + 5*d + t = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/830970 and -7\/38.\nAnswer: 15788430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 4) + 1 - (1 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 443599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 10*v + 7. Let z(o) = -168*o - 120. Give 104*l(s) + 6*z(s).\nAnswer: 32*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -9*p + 66. What is the lowest common multiple of 9\/(-6) - ((-7557)\/2)\/p and 6?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*a - 717 + 721 - 12*a + 152*a as s + r*a and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 4:27 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38708 and 290.\nAnswer: 5612660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -141489234 divided by -5240342\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 5. Let q(r) = r + 2. Let t(f) = 3*h(f) + 8*q(f). Let b(d) = -d + 1. Give -4*b(s) + 2*t(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -3, -0.31, -4, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(-2*sqrt(13)*1 + -3 + sqrt(26)\/sqrt(2)) + (-4 + (sqrt(13) - sqrt(39)\/sqrt(3)) + 1 + (2*sqrt(13) + sqrt(13))*4 + 3)**2.\nAnswer: -6*sqrt(13) + 1854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 + 44*i - 4*i.\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -803, -807, -811, -815, -819, -823?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 12 = 2*n + 2*n, 3*n - 7 = 4*s. Suppose -4*h + 2*v = 7*v + 9, -3*h + n*v = -37. Solve 0 = 4*j - 4*b - 11 - 13, -h = 4*b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*-1*6 - (4 + (sqrt(77)*-2)\/sqrt(7))) + ((sqrt(528)\/sqrt(192))\/sqrt(4) - (-1*sqrt(99) + -4)))**2.\nAnswer: 8019\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j + 883 = 0. Suppose -4*s - 3*x = -0*s - j, -4*s = 5*x - 877. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 + -74. Let k = -30 + m. What is the second derivative of k*w**2 - 2*w - 3*w - 18*w**2 wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from hhglllglhhlhll.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -826 divided by -2?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 39.8, -4, 3, 2, -4\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -3*t - 3*r + 25, 44*r = -4*t - 24 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 9. Let v(a) = -1508*a + 1498. Let s(t) = v(t) - 3*w(t). What is the derivative of s(u) wrt u?\nAnswer: -1514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1397\/45 + 1462\/45. Determine w, given that -11\/9*w**2 - 2\/9 - g*w = 0.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*n**2 - 159*n**2 + 4 - 4 to i + j*n + b*n**2 and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.63397705 rounded to three dps?\nAnswer: -63.634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 9. Suppose 0 = r*m - q - 10, -4*m - 14 = 4*q - 58. Let k(x) = -3*x + 9. Let f be k(1). Solve 3*h - m = u, -2*u + 4*u + 4*h - f = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2.4 (b) 2\/5 (c) 0.6 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83.94 * -0.4.\nAnswer: -33.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 + 14*l + 7. What is the tens digit of g(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*d - 17. Suppose -d*q + 0*f - 7 = -f, -2*f = -q - 4. List the prime factors of 37 + -1 + (q - 0).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = -5*b. Let f be (-53)\/(b + (2 - -1)). Suppose -7*h + 6*h = -f. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(10\/9)\/(o\/(o*o**(1\/7))) assuming o is positive.\nAnswer: o**(79\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 2, -230\/1109, -3, -9.\nAnswer: -9, -3, -2.1, -230\/1109, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -466, -946, -1442, -1960, -2506, -3086, -3706, -4372?\n\"Answer: -m**3 - 2*m**2 - 467*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-15)*(t**(-23)*t)\/t*t\/((t**(-2\/27)*t*t)\/t)*t**(-1\/28))**23 assuming t is positive.\nAnswer: t**(-660077\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**4\/4 + 36*r**3 - 2797*r**2\/2 + 7314*r - 23805\/4 = 0.\nAnswer: 1, 5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = -48*k - 64. Solve k = 3*z - 5*a - 0*a, 5*z - 19 = -a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 916274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 2*m**2 + m. Let g be h(-1). Let r be g + 55 + 2 + -1. Calculate the remainder when 10 is divided by 4\/(-18) - r\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*r + 5*o, -3*r - o = -6*o - 30. Solve -a + 6*a = r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3474 - 2017. List the prime factors of x.\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.16 + -166.16. Let f = 162.4 + b. Sort f, 1, 5, 16\/9.\nAnswer: f, 1, 16\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -21. What is the remainder when 43 is divided by (-4)\/n + 206\/14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -32*b**2 - 7*b - 6. Let v be o(-4). Let h be v\/(-25) - (-2)\/5. Suppose 4*p + h = 208. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuvvddddudvdnudnd. Give prob of sequence undn.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-3\/4)\/c*c)**(-9\/11))**(-2))**(-27))**(-50) assuming c is positive.\nAnswer: c**(6075\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1716 and 44148?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2624\/192)\/41)\/(1*1\/25).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7824671*n**2 - 3810264*n.\nAnswer: -15649342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36917749483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(2665\/(-10)). Let t = i - 25069\/3198. What is the common denominator of (-2)\/(-3) - 83\/30 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18, -925, -3462, -8391, -16510, -28617, -45510?\n\"Answer: -133*h**3 + h**2 - 15*h + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217656 is divided by 54401.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45aad + 11c?\nAnswer: 45bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 165*t**4\/2 - 435*t**3\/2 - 84*t**2 - 5*t. Differentiate x(y) wrt y.\nAnswer: 1980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1932375 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 9440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**2 + 6*o + 2. Let s(n) = -8*n**2 - 7*n - 2. Give -6*s(i) - 7*z(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250010?\nAnswer: 2, 5, 23, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*l**3 - 3*l + 9*l**3 - 10*l**3)*(2 + 0 - 4) + 5*l**3 - 6*l**3 + 8*l**3 + l - l + l**3.\nAnswer: 4*l**3 + 6*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*x = -3210*x + 5092 - 45495 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/23, 0.7, -705?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.17 and -1203.5.\nAnswer: 204.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -18150.\nAnswer: -3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 265*a**2 - 304*a + 10564. What is x(264)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373727?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314628 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -819 - -855. Suppose 7*u = a*u - 58. Solve -o - 15 = 5*s, 3*s + 0*s + 9 = u*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7140 and 6405?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11.9 (b) 5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -297*k**3 - 5940*k**2 + 11*k + 223. Determine u(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*b**2 + 447*b**2 + 1147*b**2 + 1080*b**2.\nAnswer: 2522*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82806 (base 12) to base 14.\nAnswer: 461ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r + 48. Let v be n(-8). Suppose v = -2*p + 10*p - 144. Let k(f) = 9*f - 7. What is the remainder when k(6) is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -6279737?\nAnswer: -188392.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + r**3 - r**3 + 432*r - 4*r**3.\nAnswer: -2*r**3 + 432*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 917*v**3 + 198375*v**2 - 5466897*v + 18634644.\nAnswer: (v - 21)*(v - 4)*(v + 471)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 5. Let a be b(0). Do -13\/3 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -79.05. Let z = m + 14.95. Put 1, z, 2, 1\/4 in decreasing order.\nAnswer: z, 2, 1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 67. Determine n(-12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/45*5\/1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129761433 and 5043?\nAnswer: 5043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 36*w**2 + 89*w + 99. What is the tens digit of u(-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)*(-2 - 0). Suppose x*o - 3*o = -5. Solve -o*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 8*k - 3. Let p be (5 - 1)\/((-98)\/(-147)). Let y(r) = 4*r**2 - 15*r + 5. Give p*y(w) + 11*l(w).\nAnswer: 2*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 3*t)*(1 - 3 + 1)*(0 - 136 - 103) to the form i*t + f and give i.\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 460, 454, 446, 436, 424, 410?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -621.02 times -27?\nAnswer: 16767.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/15*(3\/3)\/2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - (-2272)\/64)\/(1\/(-1)*-25).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247.9813 - 248. Round u to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -r + 13 - 19, -4*r + 36 = -4*g for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 3. Let n = -4 - -11. Does 9 divide z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.800008 - -12.8. Round u to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 4. Let l be z(3). Is 207 + (-2)\/5*l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*o**2 - 2*o**2 - 4*o**2)*(1 - 4 + 2) - 5 + 5 + 5*o**2 + 2*o**2 + 2*o**2 - 3*o**2.\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15352080 divided by 2558680\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 181*g**2*k**2 + 157743*g**2*k - 151*k**2 + 77025*k + 1 wrt g?\nAnswer: 362*g*k**2 + 315486*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - -9 - 74\/18. Let j = -3 + 3. What is the nearest to j in c, -3\/5, -1\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/38 - 107\/266. Let q = 0.3 + -0.2. Let i(c) = -c**2 - 111*c - 2970. Let z be i(-66). What is the closest to q in j, z, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6684 divided by -147.\nAnswer: 2228\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 16*b**2 + 206*b + 355. Determine j(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 197*r - 5070. Let c be w(29). Solve 644*n = c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78? (a) -1 (b) 1\/5 (c) -1\/9 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 705\/5326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2614, 5237, 7852, 10453, 13034, 15589, 18112, 20597?\n\"Answer: -o**3 + 2*o**2 + 2624*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/(-56)*-20)\/((-6)\/32). Which is smaller: -83 or z?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 30015.3ml?\nAnswer: 30.0153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, -49 in descending order.\nAnswer: -4, -11, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 55121.3 to the nearest 100.\nAnswer: 55100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2334022?\nAnswer: 2, 1167011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8282 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6881256.\nAnswer: 2, 3, 31, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3, -2\/7, -17\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 238410700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3547\/7 + 507. Which is the third smallest value? (a) -0.2 (b) k (c) -1\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -30. Let y = u + 13.1. Let g = y + -0.10088. Round g to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5035 + -1?\nAnswer: 5034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110100 - 121100?\nAnswer: 10212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -36*z**2 + 2*z. Let w(x) = -18*x**2 + x. Determine 4*h(j) - 9*w(j).\nAnswer: 18*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 252, 500, 750, 1002, 1256, 1512?\n\"Answer: m**2 + 245*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 8 = 2 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250 is divided by 207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/((-2)\/8). Suppose 4*j - 4 = 0, -3*j + 15 = 5*a + d*j. Solve 6 = -5*l - i - 2, -2*l + a*i = 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 5*b**2 - 2*b**2 + 0*b**2. Let r(z) = 8*z**2 + 4. Calculate r(i(y)).\nAnswer: 8*y**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**3\/2 + 2*n**2 - n + 76. Suppose -6 - 6 = 4*y. What is q(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3. Let r(n) = -n. Let i(b) = -q(b) - 3*r(b). Is i(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1393246 by -1.\nAnswer: -1393246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1207513 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 + (0 + 147 - -1) - (-3383 + 3391).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*j**6 + 253*j**2 - 64*j**6 + 151*j + 157*j - 308*j wrt j?\nAnswer: -23640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/6 + 1433*u\/6 - 239 = 0?\nAnswer: -1434, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z + 117 + 91 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (4009\/(-2))\/(27\/(-54)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/18)\/((-2 + 1)\/(-2270001)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550855 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 398 or 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/3 + 2 + (-16)\/2. Is 1609 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -22 + (-69 - -29)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3108 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -513, 4\/3, -2\/15, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397*o - 100 = 387*o. Let j(c) = 2*c. Let d be j(1). Let u be -2*d*-2 - -1. Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-460)\/(-15))\/(-92)*90\/1\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1 = -11. Suppose 0 = 2*u + 2 - 6. Suppose -a + 4*h + 0*h - h**2 - h**u = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7490447 micrograms to kilograms.\nAnswer: 0.0000000007490447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -22*n**2 - 667384*n + 242688 = 0.\nAnswer: -30336, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223 plus 0.8?\nAnswer: 2223.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j + 57 = -18*t + 32*j, 3*j - 6 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p + 40. Let c be ((-255)\/(-30))\/(3\/6). Suppose -154 = -c*z + 118. Calculate the greatest common factor of z and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8*m + 79. Let r be z(12). What is the remainder when 64 is divided by r - -18 - (0 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1.885037ns?\nAnswer: 0.000001885037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 5738793 and 5738792 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 0*g + 5*g)*(g - 1 + 1) + 12711*g**2 + 779977 - 389987 - 389990 in the form j + h*g**2 + x*g and give h.\nAnswer: 12713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + z = 2734 + 411, 2*z = -3*m + 1887. Suppose -m = 5*d - 3004. Is d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m*p**2*v**2 + m*p**2 - 2*m*p + 33*m*v - 68*m - 11*p**2 + v**3 wrt v.\nAnswer: -2*m*p**2*v + 33*m + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*h - 218, -4*d + 5*d - 42 = -2*h. Suppose -2*y = p - d, -3*y + 2*p = y - 104. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -294c - 8a16?\nAnswer: -b665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 1. Let s be o(-1). Let l = 39 - 27. What is the remainder when (s\/(-3))\/((-2)\/(-69)) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) -4 (c) 2 (d) 2\/9 (e) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/5 - (3 + -1). Let q be 9\/4 - (-3)\/a. Suppose -q = -j + 1. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653, -2652, -5993, -10676, -16701, -24068?\nAnswer: -32777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*m**2 - 57570537*m + 10467370.\nAnswer: (m - 5233685)*(11*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34971 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43278 + 3895157\/90. Calculate the common denominator of 37\/12 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*n**2 + 107*n**2 - 2*n - 72*n**2.\nAnswer: -19*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*k = 50*k + 220. Suppose 4*z - 38 = 82. What is the least common multiple of k and z?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - 2322\/4. Let u be ((-12)\/(-24))\/(2\/n). Let p = u - -257. Calculate the highest common divisor of p and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 3, m: 6, w: 1}. Give prob of picking 3 g.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1236 + 1284 = 420*s. Suppose 0 = -3*w + 85 - 19. What is the highest common divisor of w and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-8)\/g)*g)\/((g\/((g\/(g\/(g\/(g\/(g*g**(-1\/8)*g*g)))))\/g))\/g*g))\/(g**(-2\/5))**(1\/35))**32 assuming g is positive.\nAnswer: g**(60964\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 18*a - 5. What is the tens digit of c(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s**2 - 10*s - 8. Let u be b(6). Sort -1, 0, u, -2 in ascending order.\nAnswer: -2, -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9806361*s*u*y + s*u - 25937548*s + 5*u*y wrt y.\nAnswer: 9806361*s*u + 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose -t = -v - 1. Solve -3*d + 1 = 2*n, v*n - d + 5 = d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95345 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -38*k + 226. Let v be g(6). Sort 4, 1, 34, v in decreasing order.\nAnswer: 34, 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3474*y + 1007. Let h(k) = -k. Calculate h(p(v)).\nAnswer: -3474*v - 1007","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(-99))\/(123\/6). Let f = 5.98 - 5.98. What is the second smallest value in k, f, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*s - 97*s = -5*o + 37, -4*s + 1 = -3*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*y + 152*y - 45 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y**2 + y**2 - 2*y**2 - 9 - 2*y**2 - 11*y**3 - 2*y. Let g(b) = -6*b**3 + 4*b**2 - b - 5. Determine 7*g(k) - 4*w(k).\nAnswer: 2*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11501 - 20?\nAnswer: -11521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474439685, 948879370, 1423319055, 1897758740, 2372198425?\nAnswer: 2846638110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 - 13*b**2 + 156*b - 1397. Give u(9).\nAnswer: 1141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 3*g**2 - 37 + 29 + 37 + 25. Let i(s) = -6*s. What is i(o(q))?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35653 and 99899?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46422546 and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 356515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 308237 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 18*v + 17. Let g be a(13). Suppose -18*k + g + 380 = 0. Calculate the highest common factor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 + 10*r**2 - 3909*r + 2. Let t(k) = -k**3 + 4*k**2 + 1. Give h(u) - 2*t(u).\nAnswer: -u**3 + 2*u**2 - 3909*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 120535543, 120535535, 120535527, 120535519?\n\"Answer: -8*b + 120535551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 2*f**6\/45 + f**5\/18 - 7*f**4\/72 - f**3\/18 - 9*f**2\/2 + 5. Let w(l) be the second derivative of z(l). Solve w(v) = 0.\nAnswer: -1, -1\/8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**21*d)\/d**7 assuming d is positive.\nAnswer: d**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107103 is divided by 994.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, 1, 2829, 3, -1?\nAnswer: 2829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -7*t - 8. Suppose 105 + 111 = t*r. Calculate the highest common divisor of r and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247002?\nAnswer: 2, 3, 7, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -27019 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -33*x + 4. Let t be r(-3). Suppose -t*z = -97*z + 30. Which is the third biggest value? (a) z (b) -0.11 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 26?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in -1\/2, 0, 0.6, 7, -116?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (27 + (-111 - -8) - (-18 - -1)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 682 + -622. Suppose 13*l = -7*l + s. Solve -n - 37 = 3*n + 5*q, l*q + 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41755675.\nAnswer: 5, 13, 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108\/26 + (-2)\/13. Suppose 0 = y*k - 108 - 116. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, and 1 u when three letters picked without replacement from {h: 2, d: 2, u: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4148 (base 15) in base 7?\nAnswer: 55133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47, 92, 137, 182?\n\"Answer: 45*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/2 of a century in months?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 23*h - 10. Calculate j(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 7*l - 84 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 446\/75071 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/2 - 41\/6. Let s = -178.3 - -186. Let b = 8 - s. What is the nearest to x in -4, 1\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 5:53 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 10. Let o be k(4). Suppose o*x - 5 - 1 = 0. What is the nearest to 0.2 in 5, -5\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:29 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 49963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 2d?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3877 + -0.08\nAnswer: 0.3077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 16*z - 2088\/5.\nAnswer: 2*(z - 18)*(z + 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 + 10*g - 1. Let b be p(5). Let n = 54 + b. Solve -5*w = -n*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 11:31 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 440\/(-110)*(1\/1 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1915 = -4*j - 4*a + 1979, 78 = -44*j + 2*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*i + 16, -i - 3*i = 0. Suppose 4*r + y*u - 20 = 0, -5*r - u + 16 + 29 = 0. Solve -r = t + t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6164 (base 9) to base 16\nAnswer: 11a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (3 + -17)) + -14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -21*l**2 - 9. Let g(w) = 5*w**2 + 2. Determine -26*g(d) - 6*i(d).\nAnswer: -4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13)\/3 + 4)*-12. Suppose 2*q + k + 0*k - 15 = 0, 2*k = i*q - 42. Find the second derivative of 0*h**5 - h - 7*h + q*h**5 wrt h.\nAnswer: 180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*o - 15*o + o**2 - 1 + 2421*o**4 - 2418*o**4 + 2*o**3 as b + n*o + m*o**4 + h*o**3 + i*o**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4223024 (base 6) to base 16.\nAnswer: -32278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdzzoohud. Give prob of sequence ddzh.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 183 + 36 - 11*a + 50 + 50.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3328)\/(-2704))\/(-1 - 1)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2596863229?\nAnswer: 59, 821, 53611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 2*r + 1 - 3*r)*(-7*r**4 + 5*r**4 + 7*r**4 + (3*r**2 - 3*r**2 + 2*r**3)*(-2*r - r + 4*r) - 2 + 2 + 2*r**4).\nAnswer: 36*r**5 + 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 947372 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1614, -3, 1 in increasing order.\nAnswer: -1614, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -14936\nAnswer: 19\/14936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -8, -383758 in ascending order.\nAnswer: -383758, -8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-3915)\/11) + 61\/671. Let m = u + -351. Solve 0 = -m*z + 4 - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 32 - 32. Solve 0*t + 2*t = a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-110) + 4353\/(-5247). Let a = 1\/53 - n. Factor -2\/3*y**2 + 8\/3 + 8\/3*y - a*y**3.\nAnswer: -2*(y - 2)*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 665998429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1526\/(-28)*(-13)\/(-3900) and 83\/700.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2672408 is divided by 890749.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + q + 5. Let j be r(0). Let v = 86 - 89. Let b be v\/(18\/(-15)) + (-5)\/10. Solve -b*s = -j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -106, -158, -210?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -2, -8.\nAnswer: -24, -8, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 150, 5.3, 2\/5, 2, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)\/z**3*(z**(-2\/7))**(3\/20)*((z\/z**1)\/z)**49\/(z\/(z\/(z\/((z*z*(z**(-1)*z)\/z*z)\/z)))*z*z**(-5)) assuming z is positive.\nAnswer: z**(-3433\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.37 - 0.07. Let p = 2.9 - 3. Let s = -0.2 - p. Which is the third biggest value? (a) 2 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1729781100 - 1729780986.78999952. Let k = a + -113.22. Let f = -0.01 - k. Round f to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*d + l + 12, 0 = d - 2*l - 6. Calculate the lowest common multiple of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 299, 1035, 2261, 3977, 6183, 8879?\n\"Answer: 245*q**2 + q + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) - (-25)\/20. Suppose -3*l + 2 = -i. Suppose 1 + l = -2*w. Which is bigger: w or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -261072253 + -3?\nAnswer: -261072256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 11 + (11 + -9 + 97 - -20)\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46744067005.3 - -18.\nAnswer: 46744067023.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 998.87 + -1005. Let n = t + 1.13. What is the nearest to 1 in n, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1. Let w(t) = 2*t**2 - t - 7. Let r(j) = -7*j - 85. Let s be r(-12). Calculate s*w(o) + 6*i(o).\nAnswer: -2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*r + 50 = -4*k, 4*r + 1 = 5*r for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**3 - 2*r**2 - 3*r + 2. Let g(f) = 5*f - 3. Let d be g(1). What are the prime factors of n(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2041*r - 204. Let q(d) = -680*d + 67. Let a(v) = 6*f(v) + 17*q(v). Is a(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - -20) + 32\/(-4). Solve -f = -d*i, 15*i - 17*i - 16 = -5*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 48858806, 48858814, 48858822, 48858830, 48858838?\n\"Answer: 8*l + 48858798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 4 + 4)*((-g + 2*g - 2*g)*(4 - 3 - 3) - 15*g - 2*g - 41*g + 2 + 2*g - 2).\nAnswer: 54*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a1 (base 16) to base 15.\nAnswer: -13dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 22*m**2 + 7*m - 11. Let c be v(-11). Let h = c - 9913\/8. Find the common denominator of h and 123\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8012 and 178.2.\nAnswer: -7833.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 35\/2, 5, -3\/47?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*k - 5*k. Let g(i) = 2*i**3 - 5*i**2 + 4*i - 2. Let t be g(k). Suppose 3*h + t = 5*r, 4*h + 3*r - 23 = -0*h. Solve 0 = -0*z + h*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a5 + -82?\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - ((-4)\/4 - 0). Suppose -4*n - t + k = 0, n + 5*t - 10 = -n. Let q(z) = z**3 - z**2 + 22. What is the tens digit of q(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 2*o + 2*o + 11 + 2*o. Let a be v(0). Let w = 958 - 957. What is the highest common divisor of w and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -2 (c) -112 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -257272788 - 14904?\nAnswer: -257287692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1727 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.942 rounded to zero decimal places?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 4, t: 6}. Give prob of sequence tdt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*30\/120 - (-3)\/(165\/40)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-22) + 206\/(-2266).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0*(-6)\/42)\/1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11810)\/3543*3\/1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c (base 13) to base 6.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**35)**3 assuming u is positive.\nAnswer: u**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -34*c - 202. Let o be (-2 - -4)*-2 + (-68)\/34. Let i be d(o). Suppose 2\/5*x**4 - 4\/5*x**i - 4\/5*x**5 + 8\/5*x**3 - 4\/5*x + 2\/5 = 0. Calculate x.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) + 970\/(-35). Let r = 34 + v. What is the highest common factor of 12 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25320, -50628, -75948, -101286, -126648, -152040, -177468?\nAnswer: -202938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 - 3*k**2 + k - 2. Calculate q(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + (-213)\/(-3) + 4. Calculate the greatest common divisor of f and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 3*b**2 - 129*b + 132. Let n be x(0). What is the highest common divisor of n and 720?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1152)*2)\/sqrt(3))\/(((3*sqrt(48))\/sqrt(4))\/sqrt(6)))**2.\nAnswer: 256\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 175\/3. Put -0.4, h, 0.5, 9\/11 in descending order.\nAnswer: 9\/11, 0.5, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466811 is divided by 559.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -2 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.9 - -2. Let y = -349 + 1742\/5. What is the nearest to 0 in c, y, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -203*k + 1447. Give p(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1\/29, -1\/7.\nAnswer: -1\/7, -1\/29, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y. Let d(i) = -31 - i**3 + 18 + 16 + 8*i**2 + 2*i. Let r be d(8). Let z(q) = -4*q**2 - 46*q + 27*q + r*q. Calculate s(z(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/10)\/(8\/(-40)). Solve -9 = -4*w - c, -5*w + 2*c + j = 6*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 10709 + 899 - 7*n + 1828.\nAnswer: -2*n + 13436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = t, 7 + 3 = 3*c - 2*t. Suppose 3*u - 2*q - 2*q - 19 = c, 5*u + 4*q = 21. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298670082 - 2210.19\nAnswer: 298667871.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 + 27 + 2*u)*(-u**2 - 7*u**2 + u**2) to x*u**3 + a*u**2 + r*u + f and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6929 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 3 (c) -4299 (d) 0.2 (e) -1 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*t**2 - 60*t**2 - 29*t**2 - 3*t + t**4 as p*t**4 + c*t + x*t**2 + m + k*t**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 27. Suppose 0 = d - 14 - m. Let i = d + -40. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 5405*l - 966150.\nAnswer: -5*(l - 855)*(l - 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 177173487 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 - -854. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 16 = -2*b, -2*b = 4*f + 16. Let n be (-33)\/(-42) + 1\/f. Determine j so that -2\/7*j**3 + 0*j + 0 + 4\/7*j**4 - n*j**5 + 0*j**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -9) + 3 - 17 - -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3840) + (-1*sqrt(660))\/sqrt(11))*-3)\/((sqrt(144) - (sqrt(144) - 6*sqrt(144)*2))\/(sqrt(72)\/sqrt(54))).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 16. Let b = 12 + s. Suppose 3*g = 5*p - 29 + 10, b*p = -2*g - 2. Solve -3*t + r = -0*t + 17, 2*t = -p*r + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 655163 + -3?\nAnswer: 655160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1127499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**3 + 2*g - 2. Let k be l(1). Let u be 2\/6*(k - -15). Suppose 9 = 4*r - 3*c - 8, 0 = -3*r + 5*c + 21. Solve -25 = -u*n - r*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 520 = -3*t, -4*t - 6*k - 652 = -11*k. Let h be (102\/(-119))\/(-4*(-4)\/t). Solve 4*b - 3*j = -17, 0*b - j + h = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 2.3.\nAnswer: 2.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 274, -84, -596, -1268, -2106, -3116?\nAnswer: -4304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9489 - 8208. What is the remainder when i is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-78)\/9*(-279)\/6 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -14959*o + 343. Let y(p) = 935*p - 21. Let z(x) = 3*f(x) + 49*y(x). Let j(k) = k**2. What is z(j(q))?\nAnswer: 938*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -0.3 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-6\/7)*k)\/k*k*k**(-7)\/k)\/(k**(2\/3)*k)**(-31\/4)*(k**(5\/3)\/(k*(k*k**5\/k)\/k*k))**(-1\/20) assuming k is positive.\nAnswer: k**(839\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 5*p - 4*p + 0*p + p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 20. Suppose o*k + r = -2*r - 94, 3*r = -4*k - 74. Let h = -5 - k. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 894 + -891. Solve -3*z = -10 - 5, -a*z + 19 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1798\/6*7068\/36518.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/1*(-447)\/(-596)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1367256*o + 1693. Is v(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -198282403*g - 412256590.\nAnswer: -198282403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 200, 291, 374?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4970*t**2\/11 - 7262*t\/11 = 0. What is t?\nAnswer: 0, 3631\/2485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1126*m**2*t**2 + 2*m**2 + 275*t wrt t.\nAnswer: 2252*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/84236136 and -109\/4008.\nAnswer: 84236136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*120\/80.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 27*h + 4. Let a be r(-27). Solve -5*g - 40 = -5*j, 0 = -a*j + 2*j + 5*g + 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.363 + 0.3629506. Round b to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-124 + 126 + (-9 + -5 - -5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*h + 8 = 3*p, 0 = p - 5*h. Suppose 310 = p*s - s + v, -2*v = 4*s - 312. Let n = s + 2. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0 (c) 1 (d) 2\/103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Suppose t = 2*t - g. Suppose 3*p + 3 = -2*r + 3*r, -6 = -t*r - 5*p. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9963095mm in centimeters?\nAnswer: 0.09963095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1230 and 6054240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {q: 1, v: 1, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13688*o + 13698*o = -105 - 15 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or 8553?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -9. Suppose 4*u - 3*u = o - 18, u = -m*o + 120. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3422 (base 8) to base 3.\nAnswer: -2111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10482*k - 1683 = 10578*k + 2061 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 9*z - 6. Let a be p(10). Suppose -4*w - 12 = 2*i, 0 = -i - a*w - 0*w - 16. Suppose 2*v = -3*v + 40. Is v >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 3*h + 423 - 4*h - 6*h in the form f + n*h and give f.\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1824 by -1824.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 110, 104, 94?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 + -175. Calculate the remainder when 186 is divided by (-1)\/z - 2\/((-48)\/584).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 39. Let z(n) = 2*n**2. What is z(o(m))?\nAnswer: 18*m**2 - 468*m + 3042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 28*d - 1108. Determine g(-50).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18607 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c**2 + 21*c. Let d(m) be the second derivative of -m**3\/3 - 565*m. Determine d(b(n)).\nAnswer: -28*n**2 - 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 38*m - 40*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {o: 10, i: 2, h: 4, m: 3}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and -0.6450617465.\nAnswer: 0.2549382535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Suppose -x*s = -2*s - 10. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -13*o - 1. Suppose l = -5*p + 9, -5*p - 8*l + 4*l = -6. Let h(a) be the second derivative of -1\/2*a**3 + 0*a**p + 0 - 3*a. What is 9*h(c) - 2*z(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -0.4576\nAnswer: 0.027456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 827091 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 2 - 35*h**4 + 0*h**3 + 33*h**4 in the form d + i*h**4 + t*h**3 + p*h**2 + l*h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7340 + 7327. Which is the nearest to -0.1? (a) 3 (b) -2\/3 (c) h (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o - 87*o**3 - 36 + 34 + 5*o to k*o**2 + g*o**3 + q + c*o and give g.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-88*c + 193 - 193)*(0 - 3 + 0 + (-1 + 0 + 0)*(2 + 3 - 3))*(21 + 13 - 16)*(3 - 3 - 1)*(1 + 1 + 0) in the form a*c + b and give a.\nAnswer: -15840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 474255449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 192312689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11357 is divided by 3785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/(-5))\/(4\/130). Let a be (-7)\/(1 - 128\/126). Let r = a + f. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) -0.5 (c) -2 (d) 9\/32 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9. Let j(f) = f - 1. Give -5*j(z) - s(z).\nAnswer: -5*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 2. Let u(a) = -9*a - 5. Let m(l) = 5*d(l) + 2*u(l). Let j(x) = -5*x**2 + 5*x**2 - 7*x**2. Determine m(j(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 - 1 - 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/39713254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1224 + 50?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2022 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z + 115*z = 580 + 932 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119447300?\nAnswer: 2, 5, 7, 19, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.252 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskssksbkykih. What is prob of picking 1 b and 1 k?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 84282 (base 11) to base 16\nAnswer: 1dfa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 209 + 126 + 83 + r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45761824 is divided by 50.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -v - 18, 0 = v. Let y(c) = 54 + 66*c**3 - 67*c**3 + 5*c**2 - 46 + 6*c. What is y(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 35*u + 6. Let b(j) = -12*j - 2. Calculate 8*b(y) + 3*r(y).\nAnswer: 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 1. Suppose 0*l = l - 5. Is y(l) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0*m**4 + 1\/2*m**6 - 1\/3*m**3 + 0*m**5 + 0*m**2 + 0 + 15*m. What is the second derivative of v(a) wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-228)*(2 + (-132)\/118). Let i = 9391\/2478 - l. What is the common denominator of i and 34\/9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -3 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277, -312, -367, -448, -561, -712, -907?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22638*t**4 + 72393.\nAnswer: -90552*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*sqrt(19)*3 + -3 + 1*-6*sqrt(1539)*-4.\nAnswer: -3 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - x**2 - 3*x. Suppose f = 3*n + 8, 8*f - 3*f - n - 12 = 0. Let y(i) = 380*i**f + 15*i - 18*i - 2*i**3 - 382*i**2. What is 4*v(u) - 3*y(u)?\nAnswer: -2*u**3 + 2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from igigigirri.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w**2 - 4*w - 5. Let g(n) = -20*n**2 + 6*n + 8. What is 5*g(r) + 8*k(r)?\nAnswer: 4*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6895 - -6904. Let h = 247539 - 1350. Suppose -h - 617811 = z*t. What is t rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.254 - 168.046. Which is the biggest value? (a) 5 (b) 3\/5 (c) r (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(60) + sqrt(15))\/sqrt(5) + 5).\nAnswer: -3*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -2*b**7\/21 + 4*b**6\/15 + 2*b**5\/5 - 4*b**4\/3 - 2*b**3\/3 + 4*b**2 + 93*b - 2. Suppose n(q) = 0. Calculate q.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 166, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnmt when four letters picked without replacement from {d: 7, k: 7, n: 2, t: 1, m: 1}?\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + -2*sqrt(85))*-2*3)\/(sqrt(20)\/sqrt(4)*-5 - 4*sqrt(10)\/sqrt(2)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(204)*-4 - sqrt(204)) + -1*(2*sqrt(204) - sqrt(204)))*-6)\/(5*6*1*sqrt(1452)))**2.\nAnswer: 68\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1905 = 953*x - 34*x + 5575 - 68919 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.17+-7.7\nAnswer: -7.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20094 + -20087. Let n(m) be the third derivative of 0*m + 5\/8*m**4 - 1\/112*m**8 + 21*m**2 + 2\/35*m**h - 1\/10*m**6 - m**3 - 1\/10*m**5 + 0. Factor n(r).\nAnswer: -3*(r - 2)*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2208 is divided by 2065?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b. Let h be t(-2). Suppose -2*a - 4*m + 14 = 0, a - 4*m - 3 = -h. Let l(z) = -5 + 5*z**2 + 16 - 17 + 3*z - 2*z - z**3. Determine l(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/16*864\/162. Solve -z*a + 22*r = 21*r + 1, 4*r + 8 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 272*l**2 + 64*l + 64. Let v(c) = 13*c**2 + 3*c + 3. Calculate 64*v(k) - 3*x(k).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -358.\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -380, 1, -3, 2, -21 in ascending order.\nAnswer: -380, -21, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 2, -3*w + 12 = 4*x. Suppose x*z - 3*z = 0. Let q be 19\/15 + (-4)\/6. Which is the closest to z? (a) q (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3645.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.056, 0.2, -1060?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Suppose z*f + 5*f = -115. What is f rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-2))\/(234\/(-156)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71 and -0.4?\nAnswer: 28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -2 + 13 + -16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 254650 < 1018603\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*q**2 - 8*q + 605.\nAnswer: -60*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8030004?\nAnswer: 2, 3, 669167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17852 is divided by 63.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -66.1. Let b = c - -2.6. Let w = b + 10. What is w rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -33*t + 3. Let o be l(3). Let y = -64 - o. What is the common denominator of ((-182)\/(-12))\/(y\/24) and 67\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6069.082 + -6069. What is the second smallest value in 4, -33, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z + 5*r - 2841, 4*r = 20. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -101. Let q = n + 40. Suppose -v = t - q, 4*v + 91 + 145 = 5*t. What is the common denominator of t and 79\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06164 + 0.06164. Which is the third smallest value? (a) -2 (b) k (c) 2 (d) -575\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 52. Let v = -34 + o. Let d be (68\/6)\/(4\/v). Which is bigger: d or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11548899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1678013 (base 12) in base 3?\nAnswer: -22201122002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 4 + 426216 - -6*(-25)\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21, -80, -179, -318?\n\"Answer: -20*v**2 + v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.79 + -0.8. Let v = -0.088 - k. What is v rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*1932553\/(-140) - (-4)\/(-5). Suppose 28 = 3*c + 25. Calculate the common denominator of -28\/5 and c + (-38)\/34 - s\/2754.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 26*t - 36. Calculate w(-19).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -3*c - 13, -25*v = 2*c - 22*v + 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6569, -6534, -6499, -6464?\nAnswer: -6429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 77. Suppose 0 = 5*g + t - j - 1, 3*g + 3*t = 12. Suppose g*p - 202 = p. What is the remainder when p is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 26*g - 116. Calculate j(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 1400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*n + 23, -2*n = -m - 4*n - 8. What is the lowest common multiple of (-2 - 2)\/(m\/10) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*q + 17 = -16 + 372. Let i(l) = -5*l. Let n be 1*(1*-3 - -2). Let m be i(n). Sort q, 0, m, -1.\nAnswer: -1, 0, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**2. Let m(j) = 3 - 4 + 1 - 6*j. Determine b(m(n)).\nAnswer: -288*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137*m**2 + 42*m wrt m?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 smaller than -459\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -70+0.0137\nAnswer: -69.9863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 8 = 10*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + 0.3. Let t be 600\/375*1\/(-8)*-3. Which is the nearest to 22? (a) t (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -4. Suppose -4*l - 5*d + 1 = 3, -3*l - 5*d - 4 = 0. Calculate the smallest common multiple of (-1 - -6) + m + l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -15 - -26 - (1 + -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166171677*r*x**3 + 2*r*x**2 + 7731533*x wrt x.\nAnswer: -997030062*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g**2. Let l(i) = -69*i + 22*i + 22*i + 24*i. Determine d(l(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8693 = 2663*u - 1959. Factor -26*k**2 - 186\/5*k**3 + 18\/5*k**u + 0 - 22\/5*k.\nAnswer: 2*k*(k - 11)*(3*k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/549790 and 70\/3793551?\nAnswer: 37935510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 285 - 281. Solve 0 = -4*y - 5*k - p - 6, 18 = -4*y - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -252 (c) 144 (d) -0.2 (e) 550\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2206465854?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + b**2 - 3*b + b**2 + 10*b. Let r be z(4). Let s = 2 + -2.1. Is s <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-25578)*-182*(-3)\/78?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-3))\/(464\/(-696)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1152 and 69632.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 6*p - 294. Let g(k) = 4*k**2 + 7*k - 292. Suppose 19*z + 21 = -17. Let q(h) = z*g(h) + 3*a(h). What is the first derivative of q(y) wrt y?\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4 - 2*a**2 + 4. Let b(m) be the first derivative of m**4\/6 + m**2\/2 - 4. Let c(d) be the second derivative of b(d). Determine c(g(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 129 = -5*f - 0*s, -36 = -f + 4*s. Suppose f = j - 69. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {k: 7, q: 6, j: 4, c: 1}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8139307666 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029747998 to 7 decimal places.\nAnswer: 0.0002975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 12 - 33, -3*y = -2*c - 122. Solve y*a + 125 = -91 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11780 divided by 28.\nAnswer: 2945\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 135*v + 2618. Determine i(-33).\nAnswer: -1837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143558743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 4*o - 4. Let h be n(5). Let j be (-4)\/(h - -1) - -17. Suppose 2*v + 0 + 6 = 4*w, 5*v = 4*w + j. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4) + 1364\/(-258) + (-154)\/3311 + 6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*h**3 + 92*h**3 + 2*h**2 + 5*h**3 + 140*h**3 + 36*h**3.\nAnswer: 233*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxuxnxmnxxini. What is prob of sequence ui?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 27 + 13. Suppose 10*u - 6 = i*u. Solve -3*d + u = -14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 91\/85 - -9\/17. Let u(t) = t + 1. Let h be u(5). Find the common denominator of 134\/(-48) - (-4)\/h and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269757887?\nAnswer: 7, 17, 109, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*c + v, -4*c - 2*v - 12 - 14 = 0. Is 2 a factor of 1 + c\/(-8)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*o - 2*q - 172, 0 = 4*q. Let f = -84 + o. Suppose -2*u = -4*m + 4 - 0, -f*u = -2*m + 2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/540 - 11*q**4\/108 - 154*q**2. Factor f(c).\nAnswer: c*(c - 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 1951176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 52 + -22 + -17\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 7:02 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*q + 48504 = 23*q. What is the least common multiple of q and 306?\nAnswer: 14382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 2)*31 + -2. Let a = p + 383. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55477233?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 87 = 5*c + 4*z, -5*c - 2*z + 91 = 0. Suppose 2*n + 2 - 4 = 0. Suppose -c = -4*u + n. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 345, 4, 0.039, 1\/12, 1\/6?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 185*l + 22*l - 2364768. Is l a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20740)\/2562)\/((-150)\/1260)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q*q**6*q\/q**8*q\/(q**(5\/3)*q*q*q)*q*q**5 assuming q is positive.\nAnswer: q**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 61. Suppose -f = -4*q - 3*s, 3*q - 2*s + 66 = 7*q. Suppose 2*c = 4*j - 30, 0*j + 3*c = -2*j + q. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27404 is divided by 261.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -4, 3, 1\/3, -32124?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -2*a**6\/15 + 3*a**5\/5 - 8*a**3\/3 - a + 11. Let z(b) be the first derivative of s(b). Suppose z(h) = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f - 670. Let j be 0*(-5)\/(-10) + f. Suppose -76 = -3*h + j. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 4*l**2 - 6*l. What is the units digit of v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 3*p - 3. Let q be k(3). Let m be q\/2 - (-1 + -1). Suppose b = -3*w - 5, 3*w - 2*b + 12 = -2*w. What is the third smallest value in 2\/9, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v**2 - 3*v**3 - 27*v**2 + 60*v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1248 and 1326.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.1 + -22. Which is the biggest value? (a) o (b) 1 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0613, -2, 29, 60 in descending order.\nAnswer: 60, 29, -0.0613, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86.9 + 87. Let i be (-2)\/5*18075\/240. Let m = i + 30. Which is bigger: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4198 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1941?\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 2*o**3\/3 - 4. Let n(l) = l + 5. Let u be n(-4). Give s(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -4. Let a(x) = 6 - 6 + 6*x**2 + 8 + x + p*x. Let h(y) = 2*y**2 + 3*y + 3. Suppose 15 + 0 = -5*f. What is f*a(m) + 8*h(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.7 (b) 4 (c) 0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n = 14*n - 12546. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3 - 12*i**2 - 14*i = 0. What is i?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -39, -77, -131, -201, -287?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -19382?\nAnswer: 19382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 100, 65, 6, -77, -184?\n\"Answer: -12*k**2 + k + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -734a + 172?\nAnswer: -7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 126*i**2 - 1295*i - 390415 wrt i?\nAnswer: 252*i - 1295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 146*k - 2. Let x be d(1). Let h = x - 68. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1244, -1243, -1242?\n\"Answer: b - 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/590520 and -23\/67488.\nAnswer: 2362080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -55326 divided by 4041\nAnswer: -18442\/1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t, 4*c - 4*t = 16. Sort c, -3, 17, 2.\nAnswer: -3, 2, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*f**2 - 2084882\/13 - 4084\/13*f = 0 for f.\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -108*k + 99. What is the remainder when 369 is divided by r(-1)?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*((-88)\/165)\/((-45)\/100)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 343313229 and 3759.\nAnswer: 3759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -13*m + 14*m. Let b be (m - -1)*((-28)\/(-3) - 9). Solve -4*s + 2 + b = 0, -3*z - 2*s - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 476815.9ug?\nAnswer: 0.0004768159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**4 - 96992*g**3 + 589224648*g**2 - 15261022656*g + 40482664596 = 0.\nAnswer: 3, 23, 12111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/3 + -39896 + -3. Let d(x) = -310*x**3 + 5*x**2 - 5*x + 13. Let u be d(6). Let v = u - a. What is v rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -41 (c) 3\/7 (d) 137 (e) 2\/591\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5784 - 29*k**2 - 42*k**2 + 71*k**2 + 2*k**3 + 1927*k + 136 with respect to k.\nAnswer: 6*k**2 + 1927","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3, 1, -16 in decreasing order.\nAnswer: 2, 1, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 a when four letters picked without replacement from xjxazazajazzjxj.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 + 42*s**3 + 456*s**2\/5 + 158*s\/5 + 3 = 0. What is s?\nAnswer: -5, -3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.44 - -0.14. Which is the nearest to 0? (a) m (b) 1\/5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {l: 8, o: 1, n: 5, z: 4}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -204, 2, 1\/5, -2\/7, -2.89?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201 + -201. Put n, 38, 1 in ascending order.\nAnswer: n, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.160444t to grams.\nAnswer: 5160444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454690 is divided by 5226?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-1 + (9 - (-2 + 1)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 + 12)\/(-2 + 1). Factor 2\/13*h**2 + 0 + q*h.\nAnswer: 2*h**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 531*x**4 + 26 + 22 - 570*x**4 - 14 with respect to x.\nAnswer: -156*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = g - 266, -6*z + 272 = -2*z - 2*g. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 446192 or 1784769\/4?\nAnswer: 1784769\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10000 + 10005. Solve -4*l = p*n + 27, 9*n - l - 18 = 14*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)*y**(-16))**(-21)*y\/(y*y**(-4\/3))*y**(-6)*y**(-7\/5)\/((y*y**2)\/y) assuming y is positive.\nAnswer: y**(6494\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 204 = 2*v, f = -f - 5*v + 204. Suppose 4*k - f = 3*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/9))\/t**(-2)*(t*(t\/t**9)\/t)\/((t*t\/t**(-5))\/t))\/((t**(7\/4)\/t**4)\/((t\/(t*t**(-1)))\/((t\/t**(1\/11))\/t))) assuming t is positive.\nAnswer: t**(-2945\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268668, 537297, 805930, 1074567, 1343208, 1611853?\nAnswer: 1880502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 3*u + 15*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*p = -0*j + 20, -4*p - 10 = -3*j. Let c(v) = 40*v - 5. Let q(r) = -13*r + 2. Let n(z) = j*c(z) + 17*q(z). Differentiate n(l) with respect to l.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38823557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l - 1338 = -131*l + 294 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42*u + 54 - 54)*(-3*u + 4*u + 2*u)*(-3*u - 2*u + 4*u) to c*u**2 + j*u + l + k*u**3 and give k.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:27 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**2 + 20*g**2 - 10*g**2 + (-2*g + g - g)*(2*g + g - g) + 0*g**2 - 3*g**2 + g**2.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 0*m = -48, -3*p - 441960*m = -441963*m - 42 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 5\/21 (c) 1019 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2\/9*s**6 + 0*s - 8\/15*s**5 - 4\/3*s**4 + 141 + 0*s**2 + 32\/9*s**3. What is l in y(l) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t**3 + 0*t**3 - 4*t**3)*(0 - 1 + 2 + (-7 - 1 + 9)*(-4 - 4 + 6)) to d*t**2 + z*t + p + r*t**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 64*y - 675*y - 661 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - i)*(11*i**3 - 4*i + 4*i).\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and -127\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {g: 10, u: 1, x: 9}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 15) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by 1?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500*r + 2883 = 503*r. Is 962 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443349, -886676, -1329987, -1773288, -2216585, -2659884, -3103191?\nAnswer: -3546512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 47095392375022.\nAnswer: 47095392375015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110100101000000 + 10100?\nAnswer: 101110100101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8694 and 1909?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 168 = 26*d - 20*d, 2*d + 3 = -3*l - 26 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19006, 38024, 57044, 76066, 95090, 114116?\nAnswer: 133144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15341246 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Give d(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 888.4797 kilograms to tonnes.\nAnswer: 0.8884797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 625.245 millennia?\nAnswer: 6252.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogo when three letters picked without replacement from {z: 3, g: 3, o: 3, k: 4, f: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26, 41, 42, 29, 2, -39, -94?\n\"Answer: -7*c**2 + 36*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 98705 (base 15) to base 4\nAnswer: 1312031231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 11 = -5*t, 4*m + 78*t - 77*t - 7 = 0. Sort m, -3, -6 in decreasing order.\nAnswer: m, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 2*q + 0*q + (3 + 2 - 3)*(-3*q - 4*q + 5*q) + (4 - 4 + 2*q)*(-6 - 4 + 6).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -209393*r**3*y**2 - 2*r**3*y - 6*r**3 - 5*r**2 + 37*y**2 + 4659 wrt y?\nAnswer: -418786*r**3*y - 2*r**3 + 74*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Let w(z) = -105*z**2 - 4*z + 4. Let s(r) = 210*r**2 + 9*r - 9. Let o(j) = 4*s(j) + 9*w(j). Determine o(m(d)).\nAnswer: -420*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 3)*(-3 + 0 + 4) - 3 + 6 - 1)*(53*u - 116*u + 36*u).\nAnswer: -108*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/7 + 3910*t**3\/7 + 3909*t**2\/7 = 0 for t.\nAnswer: -3909, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*x - 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvgrrngrvggggrgn. What is prob of picking 1 v and 1 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3678 divided by 2.\nAnswer: -1839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1*sqrt(832) - sqrt(832) - sqrt(832)) + sqrt(832) - ((-4*sqrt(832)*1 - sqrt(832)) + sqrt(832)))\/((6*-1*sqrt(48) + sqrt(48))\/(sqrt(588)*1)))**2.\nAnswer: 10192\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 8*x**4 - 100*x**3 + 200*x**2.\nAnswer: 4*x**2*(x - 5)*(x - 2)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10347, 12973, 17349, 23475, 31351, 40977, 52353?\nAnswer: 65479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -361, -32, -3, -1, 9 in increasing order.\nAnswer: -361, -32, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*h + 8 + 2 + 236*h - 819*h + 302*h.\nAnswer: 3*h + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + -11 + 36 + 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-17))**(-13)\/(k\/(k*k*k**11)*k**17) assuming k is positive.\nAnswer: k**(-239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16253 + -3807?\nAnswer: 12345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2\/7 + 90*y\/7 + 172\/7 = 0.\nAnswer: -43, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10681.\nAnswer: 11, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from mnt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8167833 by -6999.\nAnswer: -1167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 13*m - 89. Suppose -607 = -d - m*j, -24*d = -22*d + j - 1179. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 (base 8) in base 3?\nAnswer: 20021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105754\/46 + 2*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x + 1. Let r(t) = 4*t + 1. Let a(y) = 6*q(y) - 7*r(y). Let b be a(-6). Suppose -w + 306 - 99 = 0. What is the highest common divisor of b and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -663 or -664?\nAnswer: -664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -1 + -1 - 15098. What is j rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3 + i**2 - i. Suppose q + 4*q - 5 = 0. Let j be y(q). Solve -5*t + 11 = -2*z + 40, -j*z + 25 = -3*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 6*o + 56.\nAnswer: -2*(o - 4)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 + 6) - 5 - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = -43*s - s + 936 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c**2 + 12*c**2 + 4*c**2 + 16*c**2 + 27*c**2 - 58*c**2.\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 70 + 31 = 0. Differentiate -25 + 12*n + 2*n**3 - 4*n + 18*n - q wrt n.\nAnswer: 6*n**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 29*l - 122. Calculate r(12).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 53979642?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (((-388)\/6)\/2)\/((-32)\/1152)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m - 313*m - 1875 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171144539 to the nearest integer?\nAnswer: 13082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18086 + 36163 + 37*t - 18083)*(-2*t - 2 - 2*t + 0*t) to y*t**2 + x*t + b and give x.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 507 and 484377.\nAnswer: 81859713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 9*s + 27*s + 10*s)*(s**2 - 7*s**2 + 3*s**2).\nAnswer: 6*s**5 - 138*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*-5)**2 - (sqrt(84) + (sqrt(84) - sqrt(84)*-3) + sqrt(84))\/sqrt(12).\nAnswer: -6*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) -1 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(-5*t + 2 - 2) + 74762*t - 73332*t - 1 + 1 to the form f + b*t and give b.\nAnswer: 1435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308, 310, 314, 320, 328, 338, 350?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 18*f**2 - 26*f + 55. What is z(19)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:42 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**5 - 2*i + 2*i)*(4 - 4 - 3) + (-i**4 + 0*i**4 + 0*i**4)*(i - 2*i + 4*i).\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 141010472.\nAnswer: 1692125664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3751321 divided by -3.\nAnswer: 3751321\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -867, 4 in ascending order.\nAnswer: -867, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 215 + -200. Suppose z*t - 16*t = -713. List the prime factors of t.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 4542.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r - 15*r + 222 = 26*r. Suppose -2\/3*z - z**4 + z**2 + 0 + 1\/3*z**r + 1\/3*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**5\/70 - p**4\/14 - p**3\/7 - p**2\/7 - 9*p + 30. Let a(o) be the first derivative of x(o). Determine b so that a(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 701*o + 1010. What is the tens digit of c(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2403 divided by -5\nAnswer: -2403\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 58. Suppose 5 + b = -4*s. Let c(n) = 5*n**2 + 10*n + 18. Let d be c(s). What is the highest common divisor of d and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/84)\/(490\/(-882)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/4*(-8)\/(-6). Let h be (-1 + -3)\/4 + p. Solve 3 = 5*a + 4*z, 4*a - 7*z = -h*z - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 10*a**2 - 4*a - 1. Calculate x(7).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -31.\nAnswer: -23\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 11. Let w be p(-5). Let r be w*(239 - 3)\/4. Suppose -r*g = -57*g - 152. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiuiittutuusvu. What is prob of sequence uv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-11)\/((-616)\/24)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*s - 600140 = -75*s - 4*n, -300106 = -2*s + 4*n. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -770 (base 10) in base 7?\nAnswer: -2150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-16))\/(((-9)\/(-4))\/(-1))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9453 and 27.\nAnswer: 85077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*r = -2, j + 5*r + 14 = -2*j. Let v = j - -2. Suppose 0 = v*p + 4149915 - 509915. Round p to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 - -17. Let p(b) = b**3 - 114*b**2 + 226*b - 303. Let k be p(112). Is k not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:02 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -13.1. What is the third smallest value in 2, f, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 - 57. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 + -134.3. Put o, -1\/6, 3, -0.297 in ascending order.\nAnswer: o, -0.297, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**3\/7 - 1397456*a**2 + 5980744148880*a\/7 - 47845327132800\/7 = 0?\nAnswer: 8, 1222770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*1)\/(2\/(-48)). Let v(o) = o**2 + 5*o + 8. Let l be v(-6). Let n = u - l. What is the greatest common divisor of n and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -17 + 14\/(-14) - -731 is divided by 57?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2)*-5)**2 + 4 + (-2*sqrt(13))**2.\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22083*m + 44030*m - 22151*m.\nAnswer: -204*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8615 + 301493\/35. Find the common denominator of 0 + -2 + 283\/133 and d.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122020 + -303231?\nAnswer: -1031311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1829.042 years to months.\nAnswer: 21948.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-45)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 497.96 - 505. Let j = 6.04 + c. Is j smaller than 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 603 = 1005. What are the prime factors of (-2*(-2)\/6)\/(4\/h)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 2, m: 14, f: 2}. What is prob of sequence ymy?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17353.915 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*j - 2367 = 297 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + 3\/(-44). Let f = 8799.4 - 8799.56. Which is the nearest to 0? (a) g (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -329.69135 - -0.72135. Let s = z + 340. Let t = s + 1.57. What is t rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 91.68806 centimeters?\nAnswer: 0.9168806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 13 = -3. Suppose 0 = -2*a - 2*a + s. Let o(u) = 4*u**a - u - 3 + 0*u - u - u**3. Give o(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -53*u**4\/24 + 137*u**3\/6 + 26*u**2 - 3. Is j(-20) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152 - -167. Which is greater: 17 or n?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5559*c + 55096 = -9890*c - 99394 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-1 + 0 + -2). Suppose 0 = b*h - h - 6. Suppose -2*u - u = 4*o - 12, -o = -h. Sort u, -5, 4.\nAnswer: -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -5. Suppose -5 = -t*i + 7. Suppose 2 = i*m - 25. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 305, 258, 237, 236, 249, 270, 293?\n\"Answer: -x**3 + 19*x**2 - 97*x + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - -110 - 74 - (-34 + -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.253 - 0.543. Let t = o + 1.35. What is t rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/4 - 7*m**3\/3 + 4*m**2 + 7*m + 1. Let l be h(7). Suppose 4*g - 170 + l = -5*d, 2*d + 109 = 3*g. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 17*v - 973. What is the remainder when v is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 891 and 17820?\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*3\/6*-38. Let s = f - -268. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14938 is divided by 1244.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -5, 3\/8, -5\/433, 1\/3, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 7. Let c be s(-5). Let m = c - 19. Calculate the smallest common multiple of m and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28815)\/5650*2\/3\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 5*c**2 - 3*c**2 + (-3*c**2 + 2*c - 2*c)*(-2 - 2 - 5))*(2*c - c**3 - 2*c).\nAnswer: -26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/27)*o)\/o*o*o*o**(9\/7)*(o*o\/o**21)\/(o*o\/(o*o**(-30))) assuming o is positive.\nAnswer: o**(-8815\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130680 = -415*o + 382*o. Is o a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x**3 + 108*x**2 + 316*x - 1920. Let w(n) = -19*n**3 + 218*n**2 + 632*n - 3840. Let q(c) = 11*k(c) - 6*w(c). Factor q(a).\nAnswer: 4*(a - 32)*(a - 3)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 9 = -9*p. Suppose 6*y - 15 = p*y. Let m = -4 + 6. Solve m*s + y - 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1071 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 17*v**2 - 14*v - 43. Suppose -u + 4 = -14. What is the remainder when k(u) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 280 = 5*m, 2*m - 8*q - 116 = -6*q. What is the biggest value in 2\/3, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4. Let n be (-2)\/3*(-39)\/(-2). Let m = w - n. Solve -2*k = -10, 4*z - 3*k = z - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*i - q, 54*i - 49*i = 3*q + 28. Solve 5*f - 18 = 2*f - i*d, 5*f = -d + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -5. Let w = p + 15. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 27*i**2 - 109*i + 78. Determine o(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let t(i) = i**3 + 6*i**2 + 4*i + 12. Let g be t(-5). Let d(u) = g - 5 - 12 - 17*u. Give c(d(k)).\nAnswer: -289*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11316, 16, -1\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545 - 1099*f**3 + 498*f**3 + 598*f**3.\nAnswer: -3*f**3 - 545","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuuliy. Give prob of picking 1 i, 1 u, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -31. Let x = -1.4 + 1.3. Which is the third smallest value? (a) p (b) -8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 18185*m + 36446*m - 18075*m.\nAnswer: 186*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25027579417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534.824ug in nanograms?\nAnswer: 5534824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6952 and 790.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 48, 179, -694 in decreasing order.\nAnswer: 179, 48, 1, -694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 5*p - 5*p)*(-4*p**2 - 2*p**2 - 3*p**2) + 2*p**3 - 4*p**3 + 3*p**3.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**3*o*o)\/(o\/o**(-1)))\/(o**(-6)\/o*o*o**(-1\/2)))**(-38) assuming o is positive.\nAnswer: o**(-399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 + 85*r**3\/2 + 79*r**2 + 12*r = 0. What is r?\nAnswer: -12, -2, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64, 140, 218, 298?\n\"Answer: n**2 + 73*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -30. Suppose -a = 3*n - 9. Suppose -j + 49 = -n. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*g + 29*g - 187. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - z + 0*z)*(2 - 2 + 3*z) - 2*z**2 - 7*z**2 - 17*z**2 + (0 + z + 0)*(4*z - 3*z - 3*z) - z**2 - 2*z + 2*z - 3*z**2 + 3*z**2 + z**2.\nAnswer: -31*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.069?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/45)\/(8\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1 - 4 + 1 + 1 + 24*j**2. Suppose 74*s - 24 = 98*s. Determine u(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 453.25 - 452. Let f = -0.85 + i. Put 7, -5, f, 5 in decreasing order.\nAnswer: 7, 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**2 + 7*f**2 + 2*f**3 + 0*f**2 to g + s*f**3 + c*f**2 + a*f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v - 1. Let f(u) = 6*u + 5. Let s = -9 + 1. Let b(d) = 4*d + 3. Let r(z) = s*b(z) + 5*f(z). Give r(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12277 is divided by 105?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1092.29415 to the nearest 10.\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4355 times -3\nAnswer: 13065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t = -3. Let h(v) = 25*v**3 - v**2 + v - 1. Calculate the least common multiple of 14 and h(t).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**6\/360 + l**4\/12 + l**3\/3 + 4. Let j(i) be the third derivative of h(i). What is the derivative of j(u) wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94128 and 4736?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -10371, 5, 11, -6 in decreasing order.\nAnswer: 11, 7, 5, -6, -10371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1071 by -1181.\nAnswer: 1071\/1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 2*q + 10. List the prime factors of o(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*c = -5, 0 = 3*b + 2*b - 4*c. Let n = 6 - -16. Let j be (-417998)\/(-11) - b\/n. Round j to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2. Let j(c) = -137*c + 63*c + 69*c. What is j(k(f))?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*g + 262, r + 15 = 4*g - 23. Is (r\/5)\/((-6)\/15) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtbb when four letters picked without replacement from {h: 7, b: 5, c: 3, t: 2, d: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4344518.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - (7 - 3)) + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -103*l**2 + 19821*l + 11192. What is s(193)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.7834894 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/13 - 12\/91. Let r be (-7)\/(-21) - (-4)\/(-3). What is the nearest to r in 5, -1\/10, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10312325?\nAnswer: 5, 412493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515898 is divided by 363?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:37 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -49*t**3 + 2*t**2 + 3*t + 2. Let h be v(-2). Suppose -h = -m - m. Calculate the greatest common factor of m and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001314 rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 3*j - 4*j + 9*j. Let k(f) = -3*f + 0*f + 7*f. What is k(v(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:02 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -514797.\nAnswer: -13\/514797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 0*m**2 + m**2 + (3 - 2 + 0)*(-18*m**2 + 18*m - 18*m))*(5*m - 4*m - 2*m).\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 134\/10 - ((-8748)\/180 + 49)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1900d5e - -3?\nAnswer: 1900d61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**3\/2 + 3*m**2\/2 - m. Calculate the remainder when q(4) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3488*i - 872*i - 867*i - 877*i - 871*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413944393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176964468 and 5882?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*-48*1. Suppose -2*n - m = -0*n. Let d = n + 39. Solve -i + d*i = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18226 + 31981. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10896251 + -1377117.\nAnswer: 9519134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-30)*(-9506)\/(-49).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by 54\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 10) to base 3.\nAnswer: 22101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1321 + o**2 - 1323 + 2644.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.25 + 0.22. Let c = 0.0228 + i. Round c to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let t = -169 - -174. Let f(m) = 1 + 7 - 4 - t + 8*m. Determine r(f(w)).\nAnswer: 8*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 569910 and 355377?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -59*f**3 - f**2 + 5*f - 67. Determine z(0).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119205886 + 238411980 - 119205970 + y.\nAnswer: y + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*s + 26, 4*a = -6*s + 5*s - 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5433107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4035788 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50122042 (base 6) to base 5.\nAnswer: -330114011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60657\/80 + -11336\/15. What is the common denominator of v and 163\/78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1175636483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1111101000110101101011 (base 2) to base 6\nAnswer: -223510511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a479 (base 14) to base 5.\nAnswer: 1401311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = y - 6. Suppose 3*z - y = -2*z. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-26 - (-13 + 13)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-22) - (-160)\/(-88)*-1. Solve -2*q = -0*q + z*a, 0 = -2*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**2 - 20*l - l**3 - 11*l**2 - 6*l**2 + 19*l**2 - 19. Let s be j(-9). Is s != -11\/102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10103 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: Calculate prob of sequence ct when two letters picked without replacement from {c: 1, t: 4, g: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356\/44 + 3675\/8085?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*g - 12255 + 36*g - 34*g + 12255.\nAnswer: -144*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 241*w**2. Let m(r) = -5073*r**2 - 90*r. Calculate m(i(b)).\nAnswer: -294644913*b**4 - 21690*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.9 + -18. Let x = r + 0.1. Let u = -85923.6 + 85924. Which is the third smallest value? (a) u (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + -40. Let l be (c\/(-27))\/(2\/(-18)). Is 2\/(-2*3\/l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -410 + (3 + -11 - (-4 + 1)). Let q = z + 417. Solve -q = 2*o - 3*b + b, 0 = 3*b - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000394 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*w, 5*w - 23 = -k - 5. Suppose w*h = 5*h - 4. Solve 3*v + 3*t = 6, -2 = -v - 5*t - h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.2 (c) -342 (d) 7\/6 (e) 35 (f) 2\/111\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvzvq. What is prob of picking 1 u and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 8*y**2 + 8*y - 1. Let s be w(7). Suppose s*f = 7*f - 6. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*n - 72, -3*l + 3*n = 19 + 107. Sort l, 4, 0 in ascending order.\nAnswer: l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210.071 - -210. Let b = -34 + 34. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryy when three letters picked without replacement from {y: 4, r: 5, s: 7}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27517?\nAnswer: 7, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566548 is divided by 1551.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47337 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -0.7671626?\nAnswer: 0.053701382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -13)*8 - -4. Suppose c = -30*z + 33*z. Calculate the highest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n - 32. Let l be 93\/5 + 6\/15. Suppose -3*i = -3*k - 21, -l = 2*i - 3*i - 3*k. What is the least common multiple of z(-7) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**4\/24 + g**3\/6 - 7*g**2. Determine t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:39 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/14*380\/19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999008663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12244*-0.2\nAnswer: 2448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-150)\/(-24) - 3. What is the nearest to 1 in -3\/4, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175854213?\nAnswer: 29, 563, 72019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + -2 + 2 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 2*k + 3. Let p(d) be the second derivative of -d**3\/6 - d**2\/2 - 4*d + 9. What is f(j) - 2*p(j)?\nAnswer: -2*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244.79 - 242. Let s = 0.21 + v. What is the third biggest value in s, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + j**2 + 4*j + 7. Let p be i(-5). Let x be (9729\/(-2162))\/(0 - 6\/(-56)). Let a = x - p. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17869628 is divided by 468.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**3 + g**2. Calculate b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w*(w\/(w*w\/(w*(((w**(2\/3)\/w)\/w)\/w)\/w))*w)\/w))*w*w)**(1\/33)*w**(-3)*w*w**(-12)\/w assuming w is positive.\nAnswer: w**(-1483\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 2*j + 7*j - 2)*(-1 - 2*j**2 + 1).\nAnswer: -4*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -55. Calculate the greatest common factor of 20 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123197, -123187, -123175, -123161?\n\"Answer: l**2 + 7*l - 123205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(((v\/(((v*v**(2\/11))\/v)\/v*v))\/v)\/v))*v**4)\/((v*v*v*v**3)\/v*v**2)*(v**0*v)**(4\/11)\/((v*v**(-1\/4)*v)\/v*v*v**(-2\/29)) assuming v is positive.\nAnswer: v**(-7017\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(6\/(-9)))\/(24\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-684)\/660)\/((-11)\/(165\/(-18)))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1690 - 230 = -20*c for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -15*f - 280. Calculate the remainder when o(-47) is divided by 86.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-97)\/((-3)\/((-6)\/(-2))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 700563 and 153024?\nAnswer: 2391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 435 and 2001?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11)\/i*i**(-6))**(-16\/7)\/(((i\/(i*i*i**8))\/i*i)\/(i*i\/i**2)*i**(-1\/5)*i*i*i*i**4\/i*i*i*i*i) assuming i is positive.\nAnswer: i**(1412\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1707 divided by 1\nAnswer: -1707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/60 + 5*d**4\/24 - d**3\/6 - 4*d**2. Let a be h(-7). Let y = 49 - a. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (3 + 0 + sqrt(2736))*4 + 3*(sqrt(2736) - -1*sqrt(2736)*-2))*-2)**2.\nAnswer: 1536*sqrt(19) + 11968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - 286\/33)*18\/(-2). Solve 1043 = -t*j + 1079 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-6) - 195\/30) + 1449.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o + 6. Determine c(7).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000 (base 4) to base 9.\nAnswer: -1438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26773.\nAnswer: 41, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44521, 89021, 133495, 177943, 222365?\nAnswer: 266761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4918 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-35)*5*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3817867?\nAnswer: 31, 107, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a + 2*v - 11 + 99 = 51*a, 3*a - 2*v - 60 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108077?\nAnswer: 23, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -465 - -465.03. Put g, 0.1, 59 in descending order.\nAnswer: 59, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (1 - 4 - 5) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57167.4029 - 57176. What is o rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 21*d - 45*d - 1 + 21*d. Let g(l) = 2*l + 1. Let y(k) = -3*g(k) - 3*t(k). Let c(j) = 14*j. What is c(y(n))?\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173468 is divided by 159.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 c, and 1 l when four letters picked without replacement from {b: 1, c: 3, l: 7, a: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 652\/288 - (-7 - -8) and -67\/99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -103*r**3 - 2*r**2 + r + 22. What is the units digit of v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1914509098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 7, -1, -5, -4.\nAnswer: -5, -4, -1, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21930 + 21825.63. Let k = -2.37 - w. Let l = 101.9999788 - k. What is l rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 + j**3 - 5 - 2*j**3 wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, o: 4, p: 2, k: 2}. Give prob of sequence ook.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-63)*10\/8 + (-107)\/(-114)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 2*y**4\/9 - y**3\/9 + 5*y. Factor m(i).\nAnswer: 2*i*(4*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 2. Let i(m) = 4*m - 1. Determine 4*i(c) - 3*s(c).\nAnswer: 7*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 219 (b) -3 (c) -1 (d) 2\/47 (e) -5\/3 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y = 0. Let a(c) = 0 + 4*c**2 - 18*c + y*c**2 + 0 + 1. What is the units digit of a(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -8) + (-4 - 1) + 1 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4510 and 101680.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:15 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 + 17. Let y(r) = -r**3 + 5*r**2 + 7*r - 6. Let n be y(6). Let x(z) = -8*z**2 + 5*z**2 + n*z**2 + 2*z**2. Calculate x(k(a)).\nAnswer: -16*a**4 - 136*a**2 - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65 - 7?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {z: 3, p: 4, y: 7, w: 1, e: 4}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14*y**2 + 18*y. Let q(s) = 17*s**2 + 20*s. Calculate -6*c(p) + 5*q(p).\nAnswer: p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t**2 - 691*t - 1154. Determine k(88).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 135\/3*-1*(242\/33)\/22\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*u + 63 - 63 - 217 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzz when three letters picked without replacement from hfhfzzhwfwszffrwswzf.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + j = 9, -2*j - 6 = 3*u - 7*j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -165888 divided by 48?\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -47*b**4 + 457*b**3 + 1689. What is the third derivative of c(i) wrt i?\nAnswer: -1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2 + 0 - 0. Suppose -4*k - v*h = -3*h - 21, -33 = -3*k - 5*h. Let a be -1 - (16\/k - 2). Put a, -2\/11, 2\/7 in descending order.\nAnswer: 2\/7, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*p**5*z**3 + 40*p**5 - 516*p**2*z**2 - 3*z**3 wrt p.\nAnswer: 900*p**2*z**3 + 2400*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 - 137*j + 64. Let q(p) = -p**2 + 28*p - 12. Calculate -2*k(t) - 11*q(t).\nAnswer: 3*t**2 - 34*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4661772?\nAnswer: 2, 3, 388481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -367 - -374. Suppose -k*j + 51 = 16. Solve 0 = -5*r + m + 30, -7*m = 3*r - 5*m - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (sqrt(475) + -1) - (4 + sqrt(19)*-2))**2 - (sqrt(228)\/sqrt(300) + sqrt(171)*4).\nAnswer: -121*sqrt(19)\/5 + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 4 = -25*c + d, -26*c - 2*d = -31*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10952 and -20?\nAnswer: -219040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 942104 or -0.1?\nAnswer: 942104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16*u + 12. Let t = 60 + -54. Suppose 0 = -3*y + 5*p - t, 2*y - 6 = -p + 3. What is the tens digit of z(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/6 - (-4)\/12. Suppose 3*l + 5*d = -14, 5*l - n*d = -2*d + 14. What is the third derivative of -z**l + z**4 - 4*z**2 + 3*z**2 wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(6\/(-1)))\/(639\/(-497)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 + 472 = 4*f. Calculate the least common multiple of f and 36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 3*a + 2*a. Suppose -3*p = -5*p + 10. Let w(b) = -5*b**2 - 5*b - 5. Let f(h) = -3*h**2 - 2*h - 2. Let k(v) = p*f(v) - 2*w(v). What is k(z(d))?\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + (1 - 16 - ((-97 - -6) + 79)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -64565*h**2 + 64564*h**2 + 35 + 3*h**3 + 3*h + 3*h**4 - 3*h**3 in the form u*h**4 + d*h + v + k*h**2 + l*h**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxhx when four letters picked without replacement from {n: 1, x: 2, o: 1, w: 2, h: 2, d: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-5))\/(((-4)\/6)\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 11:53 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20676 is divided by 10328?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 11\/1821296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(19) + 6*sqrt(19)*2 + 0 - (4 + sqrt(76) + 3 + sqrt(76)))*5)**2.\nAnswer: -3420*sqrt(19) + 39919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*l + 579 + 762 = 0, 2*y = -5*l + 932. Calculate the least common multiple of y and 123.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-3*(-1)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6074\/5 or -1215?\nAnswer: -1215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*q + 52*q - 38*q in the form i + o*q and give o.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00060923 to five dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - (0 - 0)) + 1. Let k = -7 + m. Suppose -k*a = a - 40. Solve -5*t - 5 = -a*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 at most -188946\/2327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i\/(i\/(i\/i**(2\/3)*i*i*i))))\/i*i*i**3)\/((i\/(i**(-13)*i)*i)\/(i*i**(-20))))**(-4\/21) assuming i is positive.\nAnswer: i**(376\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t + 120. Calculate h(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 46*m - 2 + 47*m.\nAnswer: m - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0 - 1\/15*n**5 - 45*n**2 + 0*n**3 + 1\/12*n**4 - 1\/48*n**6 + 0*n. Determine b, given that i(b) = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15420\/1548 - 10)*(1056\/55 + -18).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2512a59 (base 11) to base 10\nAnswer: -4366954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (13\/3 + -2). Let k = -4983 + 4987. Which is the closest to -1\/3? (a) 2 (b) o (c) k (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62265.81ml in litres?\nAnswer: 62.26581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 1. Let j(t) = 5*t - 3. Let i(v) = d(v) + j(v). Let z(w) = 7*w - 7. Let s = -14084 + 14095. Calculate s*i(p) - 6*z(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 3*v**2 + v**2)*(34*v**2 - 23*v**2 - 15*v**2).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3230*a**3 - 3*a**2 + 4*a - 2. Is c(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (3 - (-7 - -15)) - 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15004 = 16*h - 15132 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2726)\/(-9541))\/((3\/(42\/(-16)))\/((-224)\/5936)).\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50443304139 + 92?\nAnswer: 50443304231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 9*b - 18*b + 9*b. Let i(h) be the second derivative of -h**4\/6 - h. Calculate i(d(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 4*t, -t = -4*b - 5*t + 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 804 = -10*p + 880, 4*a - 29 = -3*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 49*m**2 + 141*m + 4. Let d(k) = -132*k**2 - 424*k - 11. Give 3*d(q) + 8*i(q).\nAnswer: -4*q**2 - 144*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138532 divided by -185.\nAnswer: -138532\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 0*k**3 - 1\/60*k**4 + 0 + 1\/10*k**2 - 6*k. Let b(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*y = 3983, 2*y - 3*y + 6643 = 5*s. What are the prime factors of s?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/30 - o**4\/9 + o**3\/9 - 3*o. Find j such that r(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -2\/11*g**3 - 72\/11*g + 40 + 24\/11*g**2. Factor w(b).\nAnswer: -6*(b - 6)*(b - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-125)\/(-45) - (4 - 1). Let q = 11.1 - 11. Put -1, q, u in descending order.\nAnswer: q, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123800299 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 999, 2802, 5393, 8772, 12939, 17894?\n\"Answer: 394*z**2 + 621*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 12*z + 11. Let h = 33 - 22. Let k be n(h). Let y = k - 49\/2. Sort -0.4, -1\/9, y in increasing order.\nAnswer: y, -0.4, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221 divided by -3?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 230355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70918, 71280, 71644, 72010, 72378, 72748, 73120?\nAnswer: 73494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/13 - 2*l**4\/13 - 14*l**3\/13 + 2*l**2 - 12*l\/13 = 0 for l.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -74, -90, -104?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k - 16 = 0. Suppose 2*n = -u - 4*u - k, 4*n + 16 = -4*u. Solve -15 = -3*i + 3*q, u = -5*i + i + q + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/((-4)\/(1 - 3)). Let b = a + 19\/2. What is the nearest to -0.2 in b, 2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - f**4 + 7*f**4 - 2*f**4 + 6*f**3 - 6*f**3 + (2 - 6 + 2)*(-3*f**4 - 12*f**3 + 12*f**3) + 2*f**4 + 4*f - 4*f - 2*f**4 - 2*f + 2*f.\nAnswer: 11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 718173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/49*3\/12*2. Which is the third smallest value? (a) 0.2 (b) s (c) -12\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*w - 15*w - 26. Suppose -4*y = -w*m - 88 - 586, -5*y - 3*m = -848. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/47 + 122\/329. Let n = 0.1 - 0. Is l >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m + 2. Let r(o) = -o**3 - 9*o**2 + 10*o - 4. Let y be r(-10). Let x(l) = -l - 1. Let w be 30\/(-18) - 10\/(-15). Determine w*v(i) + y*x(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, 32, 46, 74, 122, 196, 302?\n\"Answer: r**3 - 2*r**2 + 5*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 - (-55 - -84) - (-2 + -9).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351172036 by -4.\nAnswer: 87793009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 3, 1, -218.\nAnswer: -218, -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.32 + 0.32. Sort p, -2\/9, -39 in decreasing order.\nAnswer: p, -2\/9, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7160 + 362*g + 192601 - 360*g.\nAnswer: 2*g + 199761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672186.\nAnswer: 2, 3, 112031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5)\/(-30) - 9\/27.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1\/5)*o*o*o**(2\/3)*(o**(2\/5))**(-7\/2))**3 assuming o is positive.\nAnswer: o**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 209568 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 28353*q**3 + 108695*q**3 + 0*q**2.\nAnswer: 137048*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*r + 3 + 11, -5*r + 22 = a. Suppose -i + 95 = 4*i + 5*x, -a*i + 52 = -5*x. Is 23 a factor of i - 0 - (-2 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 7*o**2 + 9*o - 27. What is the remainder when 3306 is divided by d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 128 = 2*b, 5*k = 5*b + 91 - 366. Solve 37*y - 96 = b*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 152 = m + 228, 5*m + 25 = 0. Let j = 106 + b. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61.9, -6, -1\/5, 2\/3 in descending order.\nAnswer: 61.9, 2\/3, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + g**4 - g**5)*(-104 + 940 + 592).\nAnswer: -1428*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11550 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4340 (base 5) in base 6?\nAnswer: -2431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (0 - -15 - (219 + -201)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6060\/(-11110)*((-11)\/(-5))\/1)\/(2\/(-175)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 119. What is the least common multiple of (-1 - (-2)\/4)*-10 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - 2*m + 2*m)*(-24 - 25*m + 24) + 4*m**2 - 6*m**2 - 3*m**2 to v*m**2 + u*m + i and give v.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s = 32*s + 61*s - 6480 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-20) - (-15)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/3 - 1764*j = 0 for j.\nAnswer: 0, 5292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/348 and 17\/18.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q + 0 - 7\/64*q**4 - 12*q**2 + 3\/160*q**5 - 3\/8*q**3. Factor h(x).\nAnswer: 3*(x - 3)*(3*x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53827.3369 to the nearest 1000.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**9\/25200 - 3*v**8\/11200 + v**7\/1400 - v**6\/1200 + v**4\/2 + v. Let d(i) be the third derivative of z(i). Factor d(w).\nAnswer: 3*w*(w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.684835l?\nAnswer: 3684.835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9929 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 + 3*y + 5. Let v = -6 - -10. Let m be w(v). Let c be (3 + -1)\/(m - 0). Is 2 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Let j(y) = -y + 5200. Let k be j(m). What is k rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1650 + -4305. Let z = 1363 - 208. Let f = z + p. What is f rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15480555 or 15480570?\nAnswer: 15480570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7559767 to the nearest integer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*l**4 - 429 - 114*l**4 + 464 - 2*l**2 + 4*l**3 - 2*l as f + z*l + j*l**3 + w*l**4 + x*l**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 2*k + 132. Let n be k\/6 + (-2)\/4. Let m(q) = -419*q**2 - 6*q + 5. Let c be m(n). Round c to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797189 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -95, -141, -187?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*n**2 + 4 - 2*n**2)*(3 - 3 + n).\nAnswer: n**3 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 350141 (base 6) in base 5?\nAnswer: 1423434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56 + (-2 - -1 - -1). Let j(w) = -w**3 + 9*w**2 - 8*w - 10. Let y be j(8). Is 14 a factor of (-15)\/y*t\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 33. Suppose -13*j + 30 = -3*j. Factor -1\/3*g + 1\/3*g**j + 2\/3 - 2\/3*g**p.\nAnswer: (g - 2)*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*n = 8, 0 = -h - 2*n - 1 - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3\/5 + 39936*t**2\/5 + 19823760*t - 2806724032\/5 = 0.\nAnswer: -5006, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140 + -138. Solve k*n = -2*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 5*u + 3. What is the closest to -1 in 3\/2, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1682 divided by -2\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -158*n**3 + 151*n**2 - 2*n - 10. Is 75 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/2 of a century?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6 - 2 + 2 + 4. Let r(g) = g + 17. Let k be (2 + -1 + -7)*-1. Let y(n) = k*r(n) + 51*m(n). Let l(b) = b**2. Give y(l(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-5)\/m**(-1\/4))**(-36))**(-7))**(-2\/13) assuming m is positive.\nAnswer: m**(2394\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 234082331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -80, -19, -2.\nAnswer: -80, -19, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 4740*s**3 - 316107*s**2 + 5233734*s.\nAnswer: s*(s - 33)**2*(s + 4806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**(3\/19))**(1\/43) assuming n is positive.\nAnswer: n**(6\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 40. Give g(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104572 times 0.07?\nAnswer: 7320.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -591320 - 28?\nAnswer: -591348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*a = -10902, -382*a + 21859 = 4*j - 385*a. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + 0*h**4 + 0*h**4 + 0*h**4 - 2*h**4 + h**4 + (4*h - 4*h - 3*h)*(h**2 - h**2 - h**3) - 3*h**4 - 4*h**4 + 6*h**4 + 3*h**4 - 3*h**4 - h**4.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 8 + 8. Let x(p) be the second derivative of 0*p**3 - 5*p - 13*p**2 + 0 + 1\/12*p**4. Calculate x(g(f)).\nAnswer: f**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22)\/44*42 - -78710?\nAnswer: 13, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 - 26*k**4 - 18*k - 83*k**2 - 15*k**4 - 94*k**2 + 175*k**2 as x*k**3 + t*k**4 + y*k**2 + h + s*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522 + 2*m - 271 - 251.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -433814\/49 or -8852?\nAnswer: -8852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.55, 0.24, 0.27, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -309, -542, -931, -1476?\n\"Answer: -78*c**2 + c - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (-2 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - (-1554)\/(-10))\/(128\/(-1280)) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/7518 and -59\/12798142.\nAnswer: 38394426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/6))\/(q*q\/(q*q**9*q)))\/(((q**(5\/3)*q)\/q)\/q**(2\/3)))**9 assuming q is positive.\nAnswer: q**(159\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*f - 12. Suppose 2*o = -3*o + 190. Suppose 6*a = 4*a + o. Solve -f*b = 3*v - a, 2*v = -2*b + b + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 8*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8684867 <= 95533532\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7501003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -137 + 244?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614*y - 1620*y - 36 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u + 13 = 3*f, 0 = 3*u - 3*f - 15. Suppose -u*i + 12*i = 20. Solve -i*z = -z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156667705.\nAnswer: 5, 43, 728687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 7*i - 2. Let f be z(-6). Let h be (-1)\/f + 74\/8. Solve -3*r + h = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from pppkkppkpppppk?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78.8295671589 - 1196527.4703508411. Let w = t + 1196611. Let j = w + -4.7. Round j to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/498 and -125\/18.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9967 and -0.1?\nAnswer: -996.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4883185849 to 5 dps.\nAnswer: 0.48832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**5\/5 + 48*r**4\/5 - 186*r**3\/5 + 48*r**2 - 99*r\/5 = 0.\nAnswer: 0, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 2*a**2 - 5*a + 7. Give k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 2*b + 7. Let w be k(4). Let n be w\/((2 + 0)\/4). Sort -5, 2, -3, n in increasing order.\nAnswer: -5, -3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271 - 278. What is the smallest value in -5, h, 0.8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323753 to the power of 1\/2, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:05 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4833395 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177012 - 176940. Let f(j) = 75*j - 1. Let q be f(1). Is b != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*o + (2*o + 11*o - 25*o + (3*o - 3*o + o)*(-7 - 8 + 12))*(-2 + 2 + 1).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -93400 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -225973, -4, -1 in decreasing order.\nAnswer: 1, -1, -4, -225973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065880 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 121*m - 484. Let c be s(4). Let x(u) be the first derivative of 0*u - 11 - u**3 - 3\/2*u**4 + c*u**2. Find the third derivative of x(h) wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.054? (a) -5 (b) 2\/23 (c) 13\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*j + 4 = 0, 3*y + 6*j + 6 = 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4480 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3\/3 - 15660944*p**2\/15 + 322619774*p\/15 + 8770244 = 0.\nAnswer: -1566115, -2\/5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 less than -0.88?\nAnswer: -304.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) + ((-42)\/9)\/7. Let i(h) = 3*h**2 - h + 68. Let u be i(v). Suppose r = -3*r + u. What is the remainder when r is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 275 and 4.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.061 - 16549239\nAnswer: -16549238.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17 - 1 - 12\/6. Suppose -2*h = -0*h - b. Let u = 6 + h. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110122, -110015, -109908, -109801?\nAnswer: -109694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -0.07*30\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times 560.629?\nAnswer: -12333.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95 - -105. Put -3, -4, a in descending order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 5) + 8 - (2 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 772*n**2 - n + 122 wrt n.\nAnswer: 1544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2186, -2188, -2192, -2198?\nAnswer: -2206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 5. Let j be w(-5). Suppose j*f = -2*d - 5, -35 = -5*d - 2*f - f. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c3 - 2710?\nAnswer: -263c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 + 15*k**2 - 12*k**2 - 6*k**2 wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2132288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990 = 19*r + 1005. What is the units digit of 299 + ((-13)\/7 - (-15)\/r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m - 13. Let z(r) = -9 + 11 - 53 + 20*r + 25*r. Let l(w) = 21*v(w) - 5*z(w). Calculate the remainder when l(13) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00198234 rounded to five dps?\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 409.\nAnswer: 11\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - 11*y**2 + 4*y**4 - 11*y**4 - 2 + 8*y**4 + 2*y**3 to the form w*y + x*y**2 + m + z*y**3 + l*y**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2650.4 + -2703.4. Do -143 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*g - 934 - 586 - 2498 = 0 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19326077.53 rounded to the nearest 100000?\nAnswer: -19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 8. Let l be k(6). Let t = l - 8. Is 8\/(-16) - 214\/t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 365*z - 718. Determine u(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*z**3 + 83*z**3 - 6*z**5 + 2*z)*(-6 - 39 + 7)*(4 - 2 + 0).\nAnswer: 456*z**5 - 152*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2861114\/7 or 408731?\nAnswer: 2861114\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112 or 9104\/81?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}