diff --git "a/data/dm_maths/full_data/10628_11255.jsonl" "b/data/dm_maths/full_data/10628_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10628_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put 4, -5, 20 in descending order.\nAnswer: 20, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/105)\/((-5)\/(-100))*9\/6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:25 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/5)\/((-3)\/15). Suppose 0 = -b*j - 2*j - 4, 4*q + 14 = 2*j. What are the prime factors of (-56)\/(-6) + q\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 4*l**2 + 8 - 13)*(5*l + 11 + 5 - 4*l).\nAnswer: 3*l**3 + 48*l**2 - 5*l - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1171153, -2 in descending order.\nAnswer: 1171153, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-4\/7))*j**(4\/7))\/(j**(-1\/3)*j\/((j**(-5)\/j)\/j)))\/(((j*j**(-6\/5)\/j*j)\/j**(-2\/3))\/((j**3*j*j)\/j**(1\/10))) assuming j is positive.\nAnswer: j**(-439\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*r - 4*r + 6 = 0, -3*z = 2*r - 14. Suppose 30 = -6*d + 16*d. What is the remainder when d is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -35, -0.5, 2 in ascending order.\nAnswer: -35, -0.5, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 490071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9614115 divided by 6.\nAnswer: -3204705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 - x**2 + x - 1. Let u be k(1). Let s = -3 - u. Which is the nearest to -1\/4? (a) 2\/7 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -3*l - l, 0 = 4*l + 12. Let r(t) be the third derivative of -t**5\/60 + 17*t**4\/24 - 8*t**3\/3 - 25*t**2. Is r(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -447.8 - -1282471.\nAnswer: 1282023.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29*-1122788.\nAnswer: 325608.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478812 is divided by 478770.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 60, 57, 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 0 - (41 + (-1 - -2)). Let s = g + 35. Let f = 25 + s. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-4)*37\/(-222)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 101 in 2, 7, 24, 3, 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14394*g**2 + 107*g - 26 wrt g.\nAnswer: 28788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173012 is divided by 1531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -110021022001120?\nAnswer: 110021022001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 26. Let z(n) = 2*n**3 - 3*n**2 + 3*n - 1. Let k be z(o). Suppose 113 = 3*b - 103. Calculate the highest common divisor of b and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 24. Factor -3*u**2 + 12*u - 11*u + v*u**2.\nAnswer: u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1 (b) 7 (c) 6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*k + 20, 0 = -q - 0*k + 3*k + 5. Suppose -q*y + j + 25 + 43 = 0, 0 = 3*y - j - 40. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 156395256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = g + 6 - 12, 16 = 3*g + 2*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 318745879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6376 - 2968. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 - 7*k - 2. Is w(-4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4480540898?\nAnswer: 2, 19, 23, 107, 47911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-1*6 + -4*sqrt(95)*2)\/(-1*(sqrt(5) + sqrt(55)\/(sqrt(11) + (sqrt(11) - sqrt(44)\/sqrt(4))))*2).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6 + 4. Suppose 35 = r + s*k, 6*r - 2*r - k = 104. Solve 3*g - 1 = o, 3*o - r = -3*g - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = v + 4*j, 2*v + 6*j + 1 = 7*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 bigger than -7475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 10*s**3 + 13*s**3 - s**2 + 0*s.\nAnswer: 3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by -6.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-16)\/36) - 4. Let b be 76\/(-15) + 2 + 2. Let y = b - -2\/5. Put 1\/3, h, y in ascending order.\nAnswer: y, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3628906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*i + 20, 4*i - 96 = -3*g - 113 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7792681 is divided by 1948163.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.39299 (b) 0.08 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57157 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000171746 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/788 + 6103\/3152. Find the common denominator of y and -37\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w + 1. Let o(n) = -n - 1. Let t be o(-4). Let z be h(t). Let m = 29 - z. Calculate the remainder when 30 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 0.082782?\nAnswer: -0.00082782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -3, 188?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 291*r**3 + 46*r - 20*r - 32 - 17*r - 12*r to the form j*r**3 + n*r**2 + z*r + w and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 580 and 836185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1244543 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 2*a - 2*a)*(a + a - 3*a)*(6 - 4 - 1)*(-4 + 1 + 1).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 3, f: 5}. What is prob of picking 2 f?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -21*d**3 - 3*d**2 + 18*d + 4. Let n(f) = f**3 - 3*f - 1. Calculate -6*n(i) - r(i).\nAnswer: 15*i**3 + 3*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {i: 1, k: 2, e: 1, a: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10034614?\nAnswer: 2, 283, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let c(u) = -75*u**2. Suppose 2*m - 55 = -3*t, -t - 5 = -0*m - 4*m. Let w(k) = -19*k**2. Let h(a) = t*w(a) - 4*c(a). Give h(b(l)).\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 208 + 112. Suppose -i = -0*c - 4*c. What is the remainder when 31 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*(-6*sqrt(637)*1 - (sqrt(637)*1 + -1))*-6 + -1) + -1)**2.\nAnswer: -346920*sqrt(13) + 112370281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -0.1\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k. Let d(b) = 2*b - 31 + 55 - 20. What is x(d(y))?\nAnswer: -6*y - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -20105706.\nAnswer: 8042282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2395466942 to the nearest integer?\nAnswer: 48944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235673 - 83.050777.\nAnswer: -235756.050777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 14. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-3))\/(4\/24*-1). Find the third derivative of 47*a**6 - 4 + 4 + 5*a**5 - 10*a**m - 42*a**6 wrt a.\nAnswer: 600*a**3 + 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 606 and 3131?\nAnswer: 18786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 32, -24, -2, -3 in descending order.\nAnswer: 32, 5, -2, -3, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -940\/25451?\nAnswer: -940\/25451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (270\/(-90))\/(((-2)\/(-72))\/(4\/6))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1 (c) 2\/5 (d) 165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2. Let s(t) = t**3 - t**2 - 5*t - 2. Let n(h) = -5*i(h) - s(h). What is n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*c**2 + 27*c**2 - 2 + 3 to b + y*c**2 + p*c and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 2*v + 1. Let m be y(-2). Suppose 0 = 5*g + x - 2*x - 6, -26 = -m*g - 4*x. Find the second derivative of -12 + 12 - b + g*b**2 wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -9*x**2\/2 + 110. Let d(v) = 2*v. Calculate d(q(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 42b (base 13) to base 14\nAnswer: 38d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 184120769 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/43 (c) 2164\/545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56.9 + 57.2. What is the second smallest value in 4, -5, 25, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 855 divide 3540900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 655 - 654.8488. Let k = y + -0.0512. Sort -1\/4, -1, -5, k.\nAnswer: -5, -1, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 8:11 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a - 18 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 + 39. Let a(h) = -h**2 - 20*h + 4. Suppose 5*k - 19 + 118 = 2*m, 2*k = -3*m - 51. Let o be a(k). Is o at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, -11, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -25. Let l be z\/(-8) - (-5)\/(-20). Find the third derivative of 19*x**4 + 21*x**2 - 7*x**2 + l*x**2 wrt x.\nAnswer: 456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2580 is divided by 1278?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/20*(-210)\/72. Let l = 709\/48 - 195\/16. Let v = l + f. Is v not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 335, 2123, 3911, 5699, 7487?\n\"Answer: 1788*k - 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9055 - 9053. Let n(d) = 8*d - 12. Give n(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4658291 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80087, 160178, 240269?\n\"Answer: 80091*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 13. Let r(f) = -3*f - 11. Let k be r(-5). Let n(b) be the first derivative of -1 + k*b - 1\/2*b**2. What is -7*n(a) - 2*q(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1291911*a**2*t**2*v**3 - 2*a**2*t**2 + a*t**2*v - 2*a*t + 4*t**2*v**2 + 4399*t*v**2 - 15*v**2 wrt v.\nAnswer: 7751466*a**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -659.2 - 667799873.\nAnswer: -667800532.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiqjjjqijijzvivqqiij.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -653 + 666. What is the second derivative of c*k - 132*k**3 + 132*k**3 - 2 - 18*k**4 - 40*k wrt k?\nAnswer: -216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 3*b - 5 = -c, -26 = 5*c + 2*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/24 in 0.5, -874\/1493, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -257151 smaller than -257146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19282535 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12002112001 + -22000?\nAnswer: -12002211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62592535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-21)\/(-35)) + 15\/((-600)\/(-64)). What is the nearest to 1.98 in -4, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 224 = -14*z - 8*z. Put 5, -1, z in descending order.\nAnswer: z, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5*x)\/x*x*x*x*(x**(-5\/2)\/x)\/x)**(15\/2) assuming x is positive.\nAnswer: x**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 8}. Give prob of picking 3 u.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119472 + -119469. Find j, given that -1\/3*j**5 + 5*j**k - 2*j**4 + 0 - 8\/3*j**2 + 0*j = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (110\/20 - 6)*(-8)\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 16*t**2 - 8*t - 49. Let n be y(-16). Let d = 76 - n. Sort 2, 1, d, -4 in descending order.\nAnswer: 2, 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + j + 1, 3*i + 191*j = 190*j - 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -44*w. Let x(y) = -18*y**2. Determine x(u(l)).\nAnswer: -34848*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38328?\nAnswer: 2, 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*i - 507*i - 302*i - 318*i + 30*i.\nAnswer: -1018*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 641154\nAnswer: -5\/641154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -158, -474, -958, -1694, -2766, -4258, -6254, -8838?\n\"Answer: -14*f**3 - 218*f + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = -0*w. Let a(z) = 9*z**2 - 2*z - 21. Let t(h) = 4*h**2 - h - 10. Let j(q) = -3*a(q) + 7*t(q). Calculate j(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.5, 3.2, 2, 0, 5?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1357*r**2 - 12 + 21 + 16 + 1358*r**2 + 0*r + 24*r. Calculate f(-22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146840.52689 rounded to the nearest one hundred?\nAnswer: -146800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -da72 (base 14) to base 3.\nAnswer: -1220202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*o - 112 = -3*k, 4*o - 314 = -5*k. Let n = -47 + k. Suppose 3*u - 11 - n = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2136 and 12015.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 852726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/12 - 623*a**2\/3 + 4987*a\/12 - 1247\/6 = 0. What is a?\nAnswer: -2494, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 1\/5*l**4 + 88 - 2\/5*l**2 - 6\/5*l**3 + 2\/25*l**5 + 16\/5*l. What is z in x(z) = 0?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 7:31 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1276 - -2?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 57?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = 0, -3*l + 27 = -4*r + 9. Let f(z) = z**3 + 2*z**2 - 2*z + 1. Let j be f(-2). What is t in -j + 6*t + 0*t**l - 2*t**2 + 1 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -49*x + 91. Let o be j(-7). Let y = o + -222. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8550150 is divided by 9427.\nAnswer: 9288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360015 is divided by 68?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.029 (b) 5 (c) -28 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939 is divided by 144.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/5 + 47*c**3\/5 - 142*c**2\/5 + 37*c\/5 + 12 = 0. Calculate c.\nAnswer: -1\/2, 1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170.8 - 79420.3?\nAnswer: -76249.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 27. Suppose b - c*w - 5 = 43, -128 = -3*b + 2*w. Suppose -8*y = -4*y - b. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113231 (base 4) in base 11?\nAnswer: 115a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1805)\/2)\/(-33 - (-67260)\/2040).\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 74\/3*234. Let n = 15298 - z. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -31. Let x = -42 + q. Let t = -24 - x. Which is the second smallest value? (a) t (b) -2\/19 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 43, 46, 49, 52?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/7*u**2 + 0 + 4\/7*u**3 + 20\/7*u.\nAnswer: 4*u*(u - 5)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 45 = 6*m. What is the least common multiple of 11 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89063381*f**4 + 152718*f - 83 wrt f?\nAnswer: -1068760572*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -627*j + 4030. What are the prime factors of f(6)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, p: 4, x: 9}. Give prob of picking 2 p.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*b**3*g**2*i**2 + 2*b**3*g**2*i*p**2 - 2*b**3 + b*g*i*p**2 + 955*b*i**2*p**2 - 28*g*i*p**2 wrt i.\nAnswer: -92*b**3*g**2 + 1910*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499047456.\nAnswer: 2, 59, 191, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let n(l) = -2*l**2. Let w(c) = 9*c**2. Suppose 4*s + 169 - 23 = 5*o, 3*s = -2*o + 40. Let g(h) = o*n(h) + 6*w(h). Calculate k(g(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, -4, -3835, -5 in decreasing order.\nAnswer: 150, -4, -5, -3835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 4:29 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2747083 - 79161*u**3 - 2747083.\nAnswer: -79161*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*c + 640, 2*b - 2*c + 1450 - 146 = 0. List the prime factors of 4\/14 - b\/84.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 8\/((-2)\/(-1)). Let x(s) = 8*s - 11. Let p be x(j). Solve q + 0 = p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 18*p - 6. Let b be k(1). Let x = -41 - -137. What is the highest common divisor of x and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*x - 5*l + 29, -l + 10 = x. Solve 4*k**2 - 2*k**4 - 24*k**3 + 2 + 18*k**5 - 4*k**3 - 4*k**4 + x*k = 0 for k.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*v**2 - 100*v**2 - 86*v**2 + 91*v**2.\nAnswer: -260*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504*c**5 - 654189*c**4 - 649626*c**3 + 221991*c**2 + 264624*c + 46692 = 0. What is c?\nAnswer: -1297, -1, -3\/8, -2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*n**2 - 5*n**2 + 4*n**2)*(2 + 1 - 5)*(-66 - 230 + 78) as z*n + j + g*n**2 and give g.\nAnswer: -3488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906*y + 464*y = 352*y - 22232 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 5315286?\nAnswer: -2\/2657643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -4\/5, 18, 5.1, 0.4, -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 - ((2 - 10) + 19 + -10))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 597690 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3279*s + 231010 = -1907*s + 496*s - 55080 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/n)\/(n\/(n**(2\/11)*n)) assuming n is positive.\nAnswer: n**(-65\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/6)\/(m**(-7)*m)*m\/(m*m*m**(-2\/9))*(m\/m**(-7)*m)\/m)**(1\/10) assuming m is positive.\nAnswer: m**(253\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 68968.79cm in nanometers?\nAnswer: 689687900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 15 - 15 = 0. Which is the closest to 0.7? (a) -3 (b) n (c) 3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i + 17. Let m(q) = -8*q + 16. Let d(n) = 3*b(n) - 4*m(n). Let f be (-15)\/8 + (-4635)\/(-360). What is the tens digit of d(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 5. Calculate the greatest common divisor of 108 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 - (4 - -8) - -8) - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {p: 3, v: 3, d: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -44*i**3 - 14. Let s(r) = -15*r**3 - 5. Let n = 5413 - 5409. Give n*q(w) - 11*s(w).\nAnswer: -11*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*p**2 + 1505 - 792 - 713.\nAnswer: 191*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 8:02 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -429, 1236.\nAnswer: -429, 4, 5, 1236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:28 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 + (-10)\/(-4). Let n = 0.2 + -0.3. Let l = n - 4.9. Which is the second smallest value? (a) l (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Let h = -3 - -5. Suppose -16 = 4*d - 6*d - 4*x, -d + 5*x = 13. Suppose -4*u = 5*n - 7*u - 7, 0 = d*n - 3*u - 1. Solve -n = -4*z + h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 divided by 67\nAnswer: -147\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2154 - 1289. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0158 and -167056?\nAnswer: 2639.4848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - k - 8 = 0, 0 = 4*g + 3*k - 8*k - 28. Solve 3*h = 2*h, x - g = -4*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n*n**(-2\/23))\/n)\/n)*n\/(n*(n\/(n*((n\/n**(-1\/15)*n)\/n)\/n*n)*n)\/n)*n)**(-1\/19) assuming n is positive.\nAnswer: n**(-1433\/6555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5311 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l - 33*l = 5*d - 21, -6 = -41*d + 40*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 0 + 0)*(261*f - 435*f - 2519*f).\nAnswer: 2693*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -314388 + -5?\nAnswer: -314390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/30 - 4*n**3\/15 - 4*n**2\/5 + 15*n. Factor t(z).\nAnswer: -2*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:22 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213834223?\nAnswer: 3491, 61253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 4:19 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65362, 130711, 196060?\nAnswer: 261409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 306418779.1 to the nearest 10000.\nAnswer: 306420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1512 and -37\/476?\nAnswer: 25704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19009 - -19019. Solve z*p - 16 = 5*p + 2*j, 4*p - j = 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 177000 and 4390?\nAnswer: 77703000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/56 and -23\/1008.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.68 + -3.32. Put a, 0.3, 1, -1 in ascending order.\nAnswer: a, -1, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 + -4.169. Let t = 2.669 + x. Let i = -2.6528 + t. Round i to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y + f + 25, 10 = -2*f. Let r be 4\/14 - 7\/((-98)\/66). Let v(n) = 2*n - 4. Let h(p) = -2*p + 5. What is r*v(u) + y*h(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 47205\/(-2484) + 8\/92\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/9)*w**(-6)\/w*w)\/(w**(-2\/13)\/(w\/((w\/(w*(w**(-1)\/w*w*w)\/w))\/w*w))))\/((w\/w**(-2\/25))\/w**(-2\/3)*w**(-1)\/w**8) assuming w is positive.\nAnswer: w**(4441\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*m = -3, -n = -4*n + m. Calculate the remainder when n is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/18 - (-2)\/9. Let p be 26558\/78 + (-8)\/(-12). Let s = 341 - p. Which is the nearest to -1\/2? (a) y (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65835 rounded to 2 decimal places?\nAnswer: 1.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-140) + 1 + (-14)\/(-8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*q + 9*q - 7*q - 80*q + 13*q + 6 in the form n*q + u and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 50 = -5*w. Solve -w*h - 5*k = 20, -3*h - 2*k + k - 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 1 + 4 - 5)*(3 + 24 - 5).\nAnswer: 44*g - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 16*f = -11*f + 5, -5*s + 4 = -4*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 3*f**2 - f + 26. Let p be a(4). Suppose -p - 18 = -12*z. Solve 7*o - 10 = z*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 293190*b*k + 431*b + 583621813*k wrt b?\nAnswer: 293190*k + 431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v**2. Let p(o) = -10*o. Let b(t) = 11*t. Let x(n) = -5*b(n) - 6*p(n). Calculate x(w(r)).\nAnswer: 65*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 + 13*b - 44. Suppose -11 = -20*c + 49. Suppose 2*p + p - 33 = 0. What is the remainder when j(c) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 369 = -5*p + 3510, 3*p - u = 1883. Let b = p - 4401\/7. Determine m so that 0 - 2\/7*m**3 + 0*m - b*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5743.565 years in months?\nAnswer: 68922.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 + 4*d. Let w be h(-3). Calculate the common denominator of 20\/11 and ((-837)\/(-120))\/(w\/20).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from uuiiiuu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-22)\/22)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1578 in 1\/3, 276, 20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m - 9. Let l be v(4). Solve -5*j - l = -5*b, -4 = -2*b - 2*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*c**4 + 35*c**4 + 72 - 67 + 67*c**4 wrt c?\nAnswer: 372*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 46.8?\nAnswer: 46.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -102?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87520 is divided by 42696?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 - 4*n**4 + n**4 + (-13 - 117 - 97)*(278*n + 8*n**4 - 278*n) to s + h*n**2 + c*n**4 + t*n + k*n**3 and give c.\nAnswer: -1817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.9423 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 46*g**2 + 416*g - 864 = 0.\nAnswer: -54, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/110 + 0)\/((-28)\/15 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*k + 18 = 0, j + 4 = 5*k + 31 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -5*s**4\/6 + s**3\/6 + 866*s**2. What is o(2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -40. Let x be (-2)\/(-5) - 6\/u. Let k(o) = -o**3 + 3. Let v be k(x). Solve 5*l - 2*a = 11, -a = 3*l - v*a - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476568 is divided by 801.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from jzjczzcjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1148884\/19 and -60467 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/54 and -29\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 58*w - 78. Give h(-30).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 2:51 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**3 - 7*c**2 - 10*c - 2. Let i(a) = 7*a**3 - 8*a**2 - 11*a - 3. Let t(p) = -5*i(p) + 6*n(p). Let l be ((-63)\/(-7))\/(-3) - 7\/(-1). Determine t(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 817, 1830, 3245?\nAnswer: 5062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 0)*11\/3. Let a(m) = -m + 1. Let z be a(c). Calculate the highest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20020122001 + 1121?\nAnswer: -20020120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426\/259 >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p - 22. Let u = p - -156\/7. What is the closest to 1 in 1\/4, u, -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let o(u) = -39*u + 2*u + 9*u + 2*u + 8*u. Calculate k(o(i)).\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 64*o - 14)*(8*o**2 + 3*o**2 - 23*o**2) as j*o + l*o**2 + b + u*o**3 and give u.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/6)\/(19\/57). Suppose -5*f + 2 - q = 4*o, 4*f - 2*o - 8 = 0. Is f*143 + (-6)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 346 + -3904?\nAnswer: -3569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -11\/6*u**3 + 9*u + 2\/3*u**4 - 9*u**2 + 1\/20*u**5 + 0. Let w be h(-9). Solve 3*d + w = 2*p + 2, -2*p + 4*d = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 520cc (base 13) to base 10\nAnswer: 147367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:52 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**4\/12 + 5*n**3\/6 - n**2\/2 - n + 1. Give j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 24. Suppose 0*w = w + l*s - 24, -4*w + 113 = -5*s. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 1640535?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 965*f**8\/168 - f**5\/30 - f**4\/24 - 701*f**3\/6 - 297*f**2 + 2*f. Find the second derivative of o(r) wrt r.\nAnswer: 38600*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28062 times 2.7169?\nAnswer: 76241.6478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -27*o**3 + 30*o**2 - 125*o + 15. Let c(g) = 8*g**3 - 10*g**2 + 41*g - 4. Give 7*c(j) + 2*f(j).\nAnswer: 2*j**3 - 10*j**2 + 37*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*s + 55, -35 = -4*j + 2*s - 9. Let v be 80\/6*414\/j. Let r = -1000 + v. Round r to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -311.564 + 312. Let t = o - 5.436. Put -1\/2, t, 8\/9 in descending order.\nAnswer: 8\/9, -1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 32625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-97)\/6499) + (-28)\/4?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixiieixxx. What is prob of picking 1 e and 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 7*n**2 + 5*n + 9. Suppose -4*r = 0, -2*z - r + 5*r + 4 = 0. Suppose -b - 33 = 2*g + z*g, -9 = g + b. List the prime factors of x(g).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.6, 0.5, -0.5, 0.2?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24827\/5 - 4919. Factor -88\/5 + 4*y**3 + o*y**2 + 124\/5*y.\nAnswer: 4*(y + 1)*(y + 11)*(5*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + -0.1. Let u = -8 + 8.04. Let j = 179\/70 + -27\/10. What is the nearest to 1 in u, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qee when three letters picked without replacement from zqejqqqeq?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/3 + 176*q**2\/3 - 432*q - 2688 = 0.\nAnswer: -4, 12, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003823 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 29. Let d(o) = o**3 + 4*o**2 - 5*o + 3. Let x be d(-5). Suppose -48 = -x*g - 0. What is the remainder when w is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*w - w - 1777 = 0, 4*i - 2*w = 3550. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 11*z**2 - 14*z - 21. Let v be u(-12). Let g be 7 + 6\/(-2) - (-2 + v). Solve 2*q - 3*w + 9 = 0, -4*q - 5*w + 2 = -g*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(2736) + sqrt(2736)*1 + sqrt(2736)) + sqrt(2736) + 4)**2.\nAnswer: -4896*sqrt(19) + 2372160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241 + -70. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15533 and 1421?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**4\/24 + m**3\/2 - 4*m**2. What is u(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 30709715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w - 5*v = 0, 5*w = 2*v. Let d(u) be the first derivative of w*u + 1\/12*u**4 - 2\/9*u**3 + 1\/6*u**2 - 2. Solve d(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (97\/(-2))\/(2\/(-12)). Suppose 0 = 5*i - 6*i - n + r, -2*n + 1156 = 4*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 144*d**2 - 55*d + 25. Let i be k(-4). Are i and 5095\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0693 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + 4*f**2 + 4*f + 2. Let z(r) = -4*r**3 + 5*r**2 + 5*r + 2. What is -5*c(h) + 4*z(h)?\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-2 - -3) - -2. Let u be 47\/4 - y\/(-16). Suppose -v + u = -10. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -181, -471, -891, -1435, -2097, -2871?\n\"Answer: f**3 - 74*f**2 + 61*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 5*n + 5. Let f(c) = -c - 1. Let h(p) = 6*f(p) + i(p). Let u be h(-3). Which is smaller: -6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65544.243416 - 35004.886443. Let s = d + -30861.3568. Let w = s + 322. What is w rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 459.6 + -456.6. Which is the nearest to 26? (a) 5 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 14133 + 42390 - 14125 - 14132 + 3*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 6*n - 1. Give c(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103121 * -0.499.\nAnswer: -51457.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**9\/3024 - z**8\/840 + z**6\/180 + z**5\/120 + z**3\/3 - 1. Let a(i) be the third derivative of t(i). Factor a(v).\nAnswer: -v*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4170*-353.\nAnswer: -1472010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 + 0)*(d**4 - 3*d**4 - 44*d**3 + 2*d + 38*d**3) in the form u*d**3 + s*d**2 + q + w*d**4 + v*d and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - (-4 + -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 - 4*w**2 - 5*w - 2. Let t be n(-4). Let k = -31 + t. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = 4*s - 3*y, -48*s + 238 = -45*s + 4*y. What is the remainder when s is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 585.6?\nAnswer: 3513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.202 plus 87474?\nAnswer: 87469.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 258 + -20\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*q = -2, -2*q - 62 + 116 = -15*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274272764.\nAnswer: 2, 17, 4033423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 6 - (4 + 21 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 773.92 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7 - 5 = 0. Suppose 18 = k - 3*b, 27 = 4*k + b - 4*b. Suppose 5*t = k*r - 5, 4*r + 2*t + 4 = -2*t. Sort r, 4, i in descending order.\nAnswer: 4, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.54 - -1.49. What is the second biggest value in 7, -4, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*n - 5856 - 1022 = -919*n for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**2 - 30*y + 2320. Let p(g) = 12*g**2 - 31*g + 2323. Let h(w) = -4*p(w) + 3*z(w). Differentiate h(l) wrt l.\nAnswer: -30*l + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 1. Let b = 6.7 + -2.7. Let g = 0 - 0.1. What is the nearest to g in p, b, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 1 + 1 = -4*z, -4*z + 704*k - 706*k = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 330753964 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*h - 13, 2*t - 7*h = -4*h + 11. Solve 2*s = t*q + 6*s + 40, 5*s = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319608.\nAnswer: 2, 3, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*(sqrt(931) + -1) - (-2 + sqrt(1539) + 3 + 3))**2.\nAnswer: -494*sqrt(19) + 7028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0 + (2 - 4). Let c be (12 + s)*2\/3. Let 2*l - 2*l + c*l**4 - 9*l**4 + l**5 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 20*k**2 + 14*k. Let b be -4 + 1\/(-2) + (-6)\/4. Let n(h) = 21*h**2 + 15*h. Let r(y) = b*f(y) + 5*n(y). Factor r(v).\nAnswer: -3*v*(5*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/5 - 24\/(-60). Let v(p) = p**3 + 8*p**2 - 5*p - 7. What are the prime factors of v(t)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -449908397*o**3*q**2 - 8*o**2 - 22194935*o*q**2 wrt o.\nAnswer: -2699450382*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*z - 29, 5*z = x - 12 + 35. Suppose 3*f + f = 12. Factor -z*h**3 + 2*h + h**3 + h**f.\nAnswer: -2*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 5. Let f(l) = 0*l - 3 - 2 + 9 + l. Let t(x) = 5*f(x) + 4*q(x). Determine t(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24635, 49260, 73873, 98474, 123063, 147640, 172205?\n\"Answer: -6*t**2 + 24643*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + b + 3. Let q be 1*6\/b - -2. Solve q = 2*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-10))\/7*(-10512)\/146.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 4*c - c. Let a be (-6)\/c - 132\/21. What is the tens digit of a\/33 + 156\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 3*o + 12. Let p be m(-5). Suppose -p*d + 2 = j - 4, -3*d + j + 14 = 0. Solve -2*r = -d*r - q, -3*q + 8 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 - 149692*z**2\/3 + 2395456*z\/3 - 3194112.\nAnswer: -2*(z - 8)**2*(z + 74862)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1 (c) 2\/7 (d) -0.3 (e) 12 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**3 - 9*m**2 - 6*m - 1. Let w(x) = 13*x**3 + 8*x**2 + 5*x + 2. Determine 5*o(h) + 6*w(h).\nAnswer: 33*h**3 + 3*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0 - j + 1\/12*j**3 + 1\/8*j**2 + 1\/48*j**4. Factor f(t).\nAnswer: (t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k + 7 - 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.20992 rounded to 1 dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 7\/(-9) + (-1 - -1). Sort -2\/11, 4, h in increasing order.\nAnswer: -2\/11, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5317*c**2 + 3*c**3 - 5317*c**2 + 17*c + 2 in the form u + q*c**3 + k*c**2 + m*c and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)*1)\/sqrt(7) + (-4*sqrt(126)\/sqrt(2) - sqrt(63)))\/(-2*sqrt(9)*-4 - sqrt(9) - (sqrt(9) - (-2*(sqrt(9)*-4 - sqrt(9)) + sqrt(9)))).\nAnswer: -4*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8996525km in meters?\nAnswer: 899.6525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*r**3 + 3 - 3 + 76*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9226564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100212122 (base 3) in base 2?\nAnswer: 1110000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:49 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3378476, 6756951, 10135426, 13513901, 16892376, 20270851?\nAnswer: 23649326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -916 * -0.89\nAnswer: 815.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538334 to the power of 1\/2, to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1634*y + 14664. Determine c(-9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 109269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1445*g**2. Let m(c) = -2*c**2. Give x(m(r)).\nAnswer: 5780*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 35\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3084*v - 38991 = 26703 - 7098 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.097 - -0.097. Let n = 4388 - 4344.14. Let q = n + f. Round q to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 72 - 2\/11*q**4 - 204\/11*q**3 - 54*q**2 + 8\/11*q = 0. Calculate q.\nAnswer: -99, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2. Let z = -28 - -42. Let s be 1 + 2 + z\/7. Let k(f) = 4*f + s*f - 3*f - 5*f. Determine k(r(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/6)\/((-970)\/291).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 240 = 4*l. Suppose 0 = h + 14 - l. Solve i + 2 = -3*t, h = -4*t + i + i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8731346?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*k. Suppose 0*m + 2*m + 3*u + 19 = 0, 4*m = -5*u - 35. Sort -6, k, m in increasing order.\nAnswer: -6, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265484 (base 9) to base 12.\nAnswer: 79571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 - -13) - -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, -0.051, -1\/6, 0.062.\nAnswer: -1\/6, -0.051, 0.062, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52\/5 of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 8:59 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9562031*x**2 + 11240412 wrt x?\nAnswer: -19124062*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 43*z. Let q(s) = -6*s. Calculate y(q(r)).\nAnswer: -258*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -687827, -687828, -687829, -687830?\n\"Answer: -c - 687826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-974)\/8)\/(3 + -1). Let d = 61 + u. Which is the closest to -0.2? (a) -5 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 3298.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.09 + 0.09. Let v = -48454.0589 - -48452. Let w = v + 0.0589. Put s, 0, w, 4 in descending order.\nAnswer: 4, 0, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjj. Give prob of sequence jz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 749659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -22. Let s be (-6)\/14 + (-392412)\/(-920822). Let l = s + -3717\/2482. Sort l, 1, g in increasing order.\nAnswer: g, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/31? (a) 7 (b) 0.3 (c) -45 (d) 5 (e) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 82100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4358521 by -3.\nAnswer: 4358521\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 t, and 1 x when three letters picked without replacement from eyzezxxextx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13. Let j = g + 15. Suppose 3*m + 0*m - 28 = -4*p, -p - j = -2*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 248*s + 1 + 245*s + 234*s - 728*s - 3*s**2. Let z(j) = 10*j**2 + 2*j - 3. Determine -8*x(w) - 3*z(w).\nAnswer: -6*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -492\/7 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -490 (base 15) in base 16?\nAnswer: -40b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4*1\/(-3))\/(282\/980091*331)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1353*r**6 - 1713*r**3*x + 139*r**2*x + 5*r**2 + 60*r*x + x - 2 wrt r?\nAnswer: -162360*r**3 - 10278*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*o**4*s - 2339*o**3*s + 280*o**2*s + 2*o**2 + 23*o*s wrt o.\nAnswer: -144*o*s - 14034*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r + 441. Give m(44).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/12)\/(4\/30). Suppose o*h = 4*h + 3. Solve 0 = -0*s + h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b029 (base 16) in base 10?\nAnswer: -45097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111125 is divided by 2014.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 456764 and 1079624?\nAnswer: 11875864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) 185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68792.34 micrograms in tonnes?\nAnswer: 0.00000006879234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*m + 3 + 4 - 5 - 331*m**3.\nAnswer: -331*m**3 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -5, -2, 6\/11, -248, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*y - 1562, -2*y + 1564 = -20*v + 18*v. Suppose -c = -y - 54. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 475\/854 (b) -2 (c) 0.3 (d) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 215*t**3 + 2200*t**2 + 2420*t.\nAnswer: 5*t*(t - 22)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + sqrt(500) - sqrt(500))*-1)**2 - (0 + -5*(sqrt(405) + sqrt(5) + sqrt(5))).\nAnswer: 36 + 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = -2*u, -2*v - 4*u = 0. Put v, -3, -21 in ascending order.\nAnswer: -21, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 31*b**2 - 10*b - 64. What are the prime factors of i(19)?\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2542 is divided by 98.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2468900 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4083 is divided by 535?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(-6 - 2 - 7)*(1 - 6*y + y + 3*y) to l*y + b and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*o + 2*o**4 - 12*o - 3*o**4 - o**4 + 2*o**4 + (0*o**2 + 0*o**2 + o**2)*(0 - 2*o**2 + 0).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 + 126*j**3 + 180*j**3 - 228*j**3 - 151.\nAnswer: 78*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.59 * -633\nAnswer: 373.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/136*2\/3*(-9)\/171.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y + 4*y. Suppose y = 5*d + 2*m, 4*d + m = -0*d + 4. What is the second biggest value in -1\/2, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73, -280, -627, -1114, -1741?\n\"Answer: -70*s**2 + 3*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2*z - z)*(5 - 1 + 0)*(-z**3 + z**3 - 2*z**3).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 897, 874, 843, 798, 733, 642?\n\"Answer: -t**3 + 2*t**2 - 22*t + 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1250, -1258, -1264, -1262, -1246?\n\"Answer: g**3 - 5*g**2 - 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 19845*k**4 + 775215*k**3 - 744640*k**2 - 49620*k - 800 = 0. What is k?\nAnswer: -40, -2\/63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 1697*m - 3458. Give t(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -66*o**3 + 10*o**2 + 7*o. Let z(p) = -99*p**3 + 15*p**2 + 11*p. Calculate -8*t(q) + 5*z(q).\nAnswer: 33*q**3 - 5*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c**3 - 3*c**2 + 3*c - 5. Let g(x) = 7*x**3 + 2*x**2 - 2*x + 4. Let s(h) = 3*b(h) + 4*g(h). Determine s(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + 34 = 27 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 17*r + 7940. What is the tens digit of n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33545 is divided by 590?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 443*p**5 - 3*p**3 + 2099*p - 38 - 2121*p + 36 + 0*p**3 wrt p.\nAnswer: 8860*p**3 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -725, -1465, -2217, -2981, -3757?\nAnswer: -4545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4 = -k. Let b be ((-20)\/15)\/((-2)\/3). Let h = 1 - b. Put -3, h, k in descending order.\nAnswer: h, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/(-18)*(-756)\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1647625968 to the nearest integer?\nAnswer: 40591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2. Let s(r) = 2*r**2 + 1. Let i(w) = -2*w - 13. Let z = 112 - 120. Let f be i(z). Suppose 4*q + 2 = 3*q. Determine f*g(n) + q*s(n).\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -24*t**2 - 3*t + 3. Let y(j) = 25*j**2 + 4*j - 4. Suppose 42*v + 12*v = 17*v - 148. What is v*o(q) - 3*y(q)?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1010010001?\nAnswer: -1010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l - 3510*l**4 + 3509*l**4 + 3*l**2 + l**3 + l**2 - 2*l**3.\nAnswer: -l*(l - 2)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - -593245.\nAnswer: 593244.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 8*n + 23. Let o be v(6). Let a = 73 + o. What is the greatest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = 0, 2*d + 2*d - 48 = -2*i. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 103333?\nAnswer: -103331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/4 + q**3 + 3*q**2\/2 - q + 3. What is n(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.6 - 0.4. Let y = 0.058 - 0.058. What is the nearest to y in l, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99, 101, 103, 105, 107?\n\"Answer: 2*l + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -802 + 41.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(21)\/(sqrt(192) + sqrt(3)).\nAnswer: sqrt(7)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 27*x**2 - 52.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7943 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17525825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -211*j**6\/60 - 11*j**5\/30 - 3*j**4\/4 - 25*j**3\/3 - 212*j**2. Let g be t(17). Round g to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuxtuxiuuiuuiuxiv. Give prob of sequence uu.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 1. Suppose -5*a + 3 = -22. Let j(t) = -3*t**2 + 1. Let l(v) = a*h(v) - 6*j(v). Determine l(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19481?\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 8:27 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (0 - 2 - -3). Solve -2*o + u = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24698672 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 626.638?\nAnswer: 125.3276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/72 + (-406)\/(-8). Let x be (m\/75)\/(4\/6). Find the second derivative of 7 + 15*h**3 - x - 6 - 3*h wrt h.\nAnswer: 90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1794 - 1103. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8414, -16823, -25232, -33641, -42050, -50459?\nAnswer: -58868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4661 minus -432?\nAnswer: 5093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-7)*14\/(-4). Solve -2*d = v + 3*v - 12, 0 = 4*v + x*d - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*d + 2, 3*o + d = 3*d + 12. Suppose -4*v**2 - 18*v**4 - 6*v**o - 2*v - 4*v**2 - 30*v**3 = 0. What is v?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 45, 83, 137, 213?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5383 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 + 8*o + (-1 + 4 - 1)*(-4*o + 2*o + 3*o) - 2*o + o + 0*o + 36*o - 1502 + 1502.\nAnswer: 45*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202, -205, -208?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11223 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**5 + 278*w**4 + 5024*w**3 + 32056*w**2 + 76672*w + 60928 = 0.\nAnswer: -119, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-108)\/(-20) + -5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*o**2 + 46*o**2 + 45*o**2 + 43*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - 0.2. Suppose 6*a - 4*a = 6. What is the nearest to 1 in b, a, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.83015843 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 51*t - 131. Give h(-49).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(99) - ((1 + sqrt(99))*-2 - sqrt(99))) + (sqrt(99)*2*5 - sqrt(99)) + ((sqrt(99) - sqrt(99)*-1) + 5)*5))**2.\nAnswer: 33534*sqrt(11) + 477900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16320 by 5.\nAnswer: 3264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242 - 375 - 79*h + 150 - 57 - 64 wrt h?\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1115*o + 97932 = 3612*o + 39083 - 100959 for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2025*k - 50428 = 84519 + 81346 + 42907 for k.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369379 - 165221 = -7425*v for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:30 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29066 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32\/1095 + -7\/73. What is the third biggest value in -0.5, 9\/5, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41465 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*k - o - 381, -o = -5*k - 474. Let z = -30 - k. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -291. Let x = 752 + k. Is 15 a factor of x\/10 + (-6)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*s**4 - 4*s**3 - 341*s**2 wrt s.\nAnswer: 1608*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*n + 5 = 0, 2*a + a - 15 = -n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20785.\nAnswer: 5, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t - 60. Let m be h(-19). Suppose -2*k - k + 24 = 0. Suppose -6*g + m = k. What is the smallest common multiple of 10 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 343640868?\nAnswer: -343640866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Suppose r - 3*r = 6. Let m be -6*(-4)\/(-36)*r. Put m, f, -4 in ascending order.\nAnswer: -4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 3*b**3 - 162 + 8*b**4 + 3*b**3 + 158 as x*b**3 + f*b**4 + k*b**2 + p + v*b and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3981786 by -4.\nAnswer: 1990893\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/7 - 90023*r**4\/7 + 11416792*r**3\/7 = 0.\nAnswer: 0, 127, 89896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 divided by 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2512, -1, -64849 in decreasing order.\nAnswer: 2512, -1, -64849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = 0, z + 293 = n - 174. Is z < -464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 i when three letters picked without replacement from jkzkjjjzjjjzjijj.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8204 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 585 - 168*w**3 + 1254 - 1256*w**3 - 1937*w**3 - 800*w**3 wrt w.\nAnswer: -12483*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 19*r**2 - 5*r + 14. Determine w(-19).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497914 is divided by 44706?\nAnswer: 6148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44.3 - 44.3. Let f be 4 - ((-2)\/7)\/((-2)\/24). Let r = 0.2 + -0.1. Which is the closest to r? (a) q (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 555, 181, 1 in ascending order.\nAnswer: 1, 181, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 601 divided by 6\nAnswer: 601\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198763 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49216 + 49216 - 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1273*t + 1323*t + 450 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 9*g**2 - 7*g + 10. Let y be p(-10). Suppose -76 + y = i. Round i to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -5 - (-15 + 36)) + 5. Calculate the common denominator of (-48)\/8 + (-134)\/f and -71\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*m - 6 - 18 = 0, -2*l + 19 = 3*m. Find the common denominator of -20\/17 and (66\/(-20) - l) + -1.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(108) + (sqrt(108) - sqrt(108)*-1))*-3 + -3*(sqrt(108) + -1) + -3 + (sqrt(108) - (0 + sqrt(108))) + sqrt(108) + -3)*-1)**2.\nAnswer: 528*sqrt(3) + 13084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20115, -19733, -19351, -18969, -18587, -18205?\nAnswer: -17823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*h - 1080 = -161*h - 3449 - 2059 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 140*w - 28832. Give z(206).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 35*a - 36. Let m be n(32). Calculate the greatest common divisor of m and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -79988\nAnswer: -1\/19997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 6*y**2 + 18*y + 1. Let a be u(-8). Let k = a + 33. Suppose 15*j - k = 13*j. Solve 0 = x - 2*v + 3, x + x + v = j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*i - 113 - 82 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -9. Let g = i - 9. Let q = g - -8. Which is the nearest to 0.4? (a) -1\/2 (b) q (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 814\/7. Let u = -2.9 - -3. What is the nearest to u in 2\/3, r, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4 = -f, -1045184 = -2*x + f - 1045190 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1274))\/(sqrt(128) - sqrt(128)*3) - (((1 + sqrt(52))*-2 - 2*(sqrt(468))**2) + -5).\nAnswer: 57*sqrt(13)\/16 + 943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 3. Let s = i + 16. Suppose 0*k - s*k = -30. What is the smallest common multiple of k and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5340 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -13 - 50. Suppose -2*o = -16 - 44. What is the smallest common multiple of o and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 18 = 2*l, -4*d + 0*d + 2*l = -6. Let r(n) = -2*n**2 - 4*n**2 - 4*n**2 - d*n**2 - 2*n**2. Let b(w) = -8*w. Give b(r(v)).\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 240 = -0*j + 13*j. Solve -13*h - 3*b + 3 = -j*h, -5*b + 29 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 20*c - 86. Let d be y(-7). Let w = -28 + 16. Put 1, d, w in descending order.\nAnswer: d, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.849 + -2.99. Let s = n + 0.041. Let l = -0.51 - -0.11. Which is the closest to s? (a) 5 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 0.038, 0.2, 1, 2\/9, -23.1?\nAnswer: -23.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 - -183. List the prime factors of o\/24*2*2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 23*j - 1 + 8 + 27*j**3 - 39*j - 3 - 15*j**2 = 0?\nAnswer: -2\/3, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1219*c**2*p - 2*c**2 - 21*c*p - 13722*p - 10 with respect to c.\nAnswer: 2438*c*p - 4*c - 21*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/15480*43*(-50)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-13)\/((-936)\/(-924))) + (-16)\/(-6).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, h: 4, p: 2}. Give prob of picking 1 p and 2 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (15\/80)\/((-7)\/28)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55.6493mg?\nAnswer: 0.0556493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -0.047.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1435\/((-1353)\/(-33)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -y - 6*j + 7, 3*y + 3*j - 18 = 0. Solve 0 = -4*p + 2*t + 2, 6*t = -y*p + t - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -64*v + 3714. Determine p(58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y. Let t(m) = 72*m**2 - 4*m - 2. Let v(r) = 215*r**2 - 15*r - 7. Let s(q) = 7*t(q) - 2*v(q). Determine s(b(n)).\nAnswer: 666*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.64.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyhhwth. Give prob of sequence tfw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2395074 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a - a + 30. Find the second derivative of -5*c**2 - 20*c**2 - 7*c - 5*c**a - 3*c**2 wrt c.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + -1 + 12 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 19\/67292?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 12:35 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 161138.7ug?\nAnswer: 161.1387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 + -0.21. Let u = n + -6.27. What is u rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6731 is divided by 2220.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 22*f**2 - f. Let s be j(2). Let y = 21 - s. Let o = 120 + y. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**3 - 2*a**2 - 2*a + 2. Is r(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2. Let n(b) = b + 1. Let h(i) = 2*i + 5. Suppose 3*d - 6 = 3*u, -5*u + 3*d + 6 = 14. Let p(c) = u*h(c) + 5*n(c). What is z(p(o))?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.556 - -0.556. What is the third smallest value in b, 17, 1.8?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 + -68. Let o = -24 + m. Let w(s) = -s**3 - 5*s**2 + 4*s - 1. What is the remainder when o is divided by w(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**7\/70 + 29*b**6\/10 - 177*b**5\/10 + 89*b**4\/2 - 119*b**3\/2 + 447*b**2\/10 + b + 1082. Solve g(s) = 0.\nAnswer: -149, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 779 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24392 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.2 (c) -96 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 180 - -141. Calculate the common denominator of (g\/(-9))\/(8\/(-2)) and 3 + ((-375)\/(-14))\/(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, r: 2}. Give prob of picking 3 c and 1 r.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/4)\/b**8)\/((b*(b**(-13)\/b)\/b)\/b*b**10) assuming b is positive.\nAnswer: b**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 44838, 10, 0.3, 0.02, -3\/2.\nAnswer: -3\/2, 0.02, 0.3, 5, 10, 44838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 18 (b) 2 (c) 1\/3 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 46*m - 115. Let w(u) be the first derivative of 0*u**3 + 0*u**4 + 0*u - 3*u**m + 9 - 19\/2*u**2. Find the second derivative of w(t) wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 plus -17216286.28104?\nAnswer: -17216263.28104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.2327\nAnswer: 0.02327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**2 + 815*a**4 + 4699*a + 70*a**3 - 3*a**5 - 815*a**4 + 153*a wrt a.\nAnswer: -60*a**3 + 420*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*k**2 + 11*k + 829 wrt k?\nAnswer: 60*k + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11899 and 51.1.\nAnswer: 608038.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*n = -16, -6*n + 0*n + 78 = -15*x + 4*n - n for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*n**5 - 3*n**4 + 23558*n**3 + 21*n**2 + 2*n + 18072 wrt n.\nAnswer: 1020*n**2 - 72*n + 141348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1356, -9, -5.\nAnswer: -1356, -9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9\/8*(-12)\/10*((-32750)\/(-225))\/131\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aml when three letters picked without replacement from {v: 1, m: 1, u: 3, a: 3, l: 1, y: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3*(sqrt(238) + 2*sqrt(238)))\/sqrt(7))\/(sqrt(22)\/(sqrt(539)*3)) + -1.\nAnswer: -1 + 1134*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 2037*m - 2035*m - 5*y, 0 = -2*y + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/(210\/76188). Which is bigger: 180 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/45 - (-228)\/(-342). Which is the third biggest value? (a) m (b) -2\/11 (c) -2\/3 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 838482 - 838482 + 3180*g in the form p*g + n and give p.\nAnswer: 3180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:04 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:55 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17865108 and 1764.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*u + 7290 = 7*q, 3*u = -4*q + 9719. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4173.\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 0.08, 3.\nAnswer: 0.08, 0.14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9759 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:07 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -11*x - 3*x**2 + 7\/6*x**3 + 0 + 2\/3*x**4. Is z(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915716419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5, -1, -105?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 259*a**2 - 629*a + 764. What is k(-127)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 14*o - 3. Determine y(7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05874*0.9.\nAnswer: -0.052866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 80, 674, 2288, 5432, 10616?\n\"Answer: 85*z**3 - z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142527.\nAnswer: 3, 7, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2825 - 135 = -103*b + 1675 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -3)\/(18\/27). Let n(r) = 14*r**2 + r + 7. Does 17 divide n(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-8))\/5*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 22*g**2 - g. What is b(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22320 minus -0.97637399?\nAnswer: -22319.02362601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwwiencnnetnewe. Give prob of picking 1 n, 1 t, and 2 c.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b**3 - b**2. Let k be (18\/(-9))\/((-4)\/(-2)). Let a be j(k). Let v = 23 + a. What is the remainder when 35 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 500112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45818 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202470.7 grams in nanograms?\nAnswer: 202470700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -1\/4, -14, 750, 1\/23?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 209*a**5\/10 - 71*a**4\/4 - 703*a. What is the third derivative of w(u) wrt u?\nAnswer: 2508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 3582, 2\/35, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from onnonnnn.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415 - 128*y - 387 + 208 + 127*y.\nAnswer: -y - 594","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 3*u + 14 + 4, 3*u = 4*v + 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 11*v**2 - 19*v + 18. Let j be y(-8). Let d be -2 + 101 - 1*-1. Let g = j + d. Calculate the remainder when g is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23884 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1093\/13391?\nAnswer: -1093\/13391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -5. Suppose -3*u - 20 + 92 = 0. Calculate the highest common factor of u and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-505.41.\nAnswer: -9602.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20289700 to the nearest one hundred thousand.\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83, 132, 181?\n\"Answer: 49*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -3*u**5\/5 - 3*u**2 + u. Differentiate d(a) wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000304228958 to 7 dps.\nAnswer: -0.0003042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -259, -573, -1001, -1537, -2175, -2909?\n\"Answer: z**3 - 66*z**2 - 3*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 s when four letters picked without replacement from seseeseessee.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 4:26 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -5.261 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -11.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 14 = 4*f + 6, -3*q = -5*q + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {j: 1, f: 4, m: 1, p: 1, s: 9, r: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:05 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1326, 1319, 1312, 1305, 1298?\n\"Answer: -7*l + 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) - (sqrt(5)*-3 + sqrt(5))) - (sqrt(132) - (sqrt(132) + 1*sqrt(132)))\/sqrt(12).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 2:15 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 439783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0295 + 0.0705. Let w = -21.5 + -5.5. What is the closest to b in 4, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 86?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4 + 2 + f - 4. Let o be l(-1). Let t be (-1 + o + 0)\/2. Does t = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 355168 and 8072000?\nAnswer: 88792000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - (-12)\/7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*((-3800)\/(-114))\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -152, -309, -464, -617, -768?\n\"Answer: q**2 - 160*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 974881921 and 1807?\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r - 20*r + 38*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -12. Let v(d) = d**3 - 5*d**2 - 2*d - 4. Let i be v(k). What is the greatest common factor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:26 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6120)\/3570)\/(4\/21*(-2)\/(-4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**4 + 17*z**3 + 36*z**2 - 92*z - 112 = 0.\nAnswer: -14, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1021 and -41\/1999?\nAnswer: 2040979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t - 7*t - 2*t**3 + 9*t**2 - 2*t**4 + 13*t in the form p*t**4 + y*t + s + i*t**3 + m*t**2 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - s + 10 + 8, 5*s = g - 15. Let n be 1475\/(g\/4 + -1). Suppose -2*u = -3*u + n. Round u to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75372 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (3 - -2)) + 7 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*m - 8, 4*h - 3526 + 3534 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 58*q. Let a(g) be the second derivative of g**4\/6 - 858*g. What is j(a(r))?\nAnswer: -8*r**4 - 116*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*q + 36 = 0, 23 = 2*u + 5*q - 13. Let -2\/3*z**5 + 20\/3*z**4 + 0 + 36*z**2 - 24*z**3 - u*z = 0. What is z?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.45 + 0.64. Let a = y + -0.09. What is the biggest value in 2\/11, a, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*k**2 - 2*k - 3 + 1 - 59*k**2 + (6*k - 5*k - 3*k)*(0*k + 2*k + 0*k).\nAnswer: -47*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u**2 + 46*u**2 - 5*u**2 + 2 to the form v*u**2 + y + a*u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13903\/2 - 236415\/34. Find the common denominator of (28\/(-3))\/(12\/8) and i.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-2)*-5*(-3)\/(-30)*2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-6)*20\/30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 3*c**2 + c - 2. Let k(y) = y - 7. Let t be ((-1)\/(-2))\/(16\/(-128)). Let s be 2 - 2*(t - -3). Let m be k(s). Calculate h(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -582 + -1081.5\nAnswer: -1663.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 441?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, -55, -262, -657, -1294, -2227?\n\"Answer: -9*m**3 - 13*m**2 + 29*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 307 + -516. Let r = o - -308. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531*y - 645*y + 1666*y - 482*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -16, -1\/12, 6, 0.5, -2, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7320927.5 rounded to the nearest 100000?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) 0 (c) -5 (d) -2 (e) 37675 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 11) to base 12\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72 or -17?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 13 + 12 = 0. Let z = 9 - c. Solve -z*j + 3*l + 1 - 7 = 0, -4*j - 10 = -l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 175\/(-187) - (-12)\/(-66). Let s be ((-12)\/(-4) - 1) + 2. Which is the smallest value? (a) -0.2 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4da67 (base 16) in base 8?\nAnswer: 1155147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 f when four letters picked without replacement from mccuhhczhccmcfccczc?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24644 is divided by 329.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 106.31 and 1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c - 4*c)*(-14 - 70 - 27 - 21)*(87 + 15*c - 87).\nAnswer: 11880*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + h - 10 = 3, -u + h = 7. Let x be u\/8 - 716\/16. What is x rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 178\/(-3))\/((-48)\/1224) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102880911*z**4 + 36470965*z**2 wrt z.\nAnswer: 2469141864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-3)\/24 - 809\/(-2). Suppose -3*u + 143 = -4*h, -3*h = 5*u - 112 - 107. What is the greatest common factor of m and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -441 + -77?\nAnswer: -4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 - 6*o - 5. Let t(l) = 2*l**2 + 3*l + 3. Determine -4*k(r) - 7*t(r).\nAnswer: 2*r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**4\/4 - 8*q**3\/3 + 3*q**2\/2 + 58*q - 2418. Give o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuuf when four letters picked without replacement from ufuuuuuuuuuuf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1893 and -0.4096?\nAnswer: 775.3728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 228 = -h - 4*a, 2*h + 3*a - 151 = 0. Let v be 230\/h - 1\/(-8). Suppose 2*z + 4*d = -18, 8*d - 7*d = 3*z - 8. Solve 4*i + z = v*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 2. Let q be k(-6). Let j be (6\/q*2)\/6. Let g = 4 + -3.6. Which is the nearest to 0.2? (a) g (b) 2\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 15. Let z = -150.7 - -212.5. Let j = x + z. Round j to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.1, -4, 0.2, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - l - 5, 0 = -3*k + 2*l + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42*-4.7\nAnswer: 197.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -j + 12, q + 5*j = 2*q + 18. Let h = 55 + -29. Suppose 0 = -2*i + h + 18. Calculate the least common multiple of q and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*y + 2, 7*u - 35952 = -35924 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = 0, 4 = 3*a + 3*z - 23. Suppose -p + 10 = 5*v, 3*p + p - a*v = 15. Suppose -5*t + 6*t = p. Put -2, t, 3 in increasing order.\nAnswer: -2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002394086663 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t + 24*t + t to the form h*t + b and give h.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/9*48\/(-720).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 4920\/11, 15 in descending order.\nAnswer: 4920\/11, 101, 15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b + -374?\nAnswer: -3d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 22 + 42*w**2 + 10*w - w**3 - 100*w**2 + 43*w**2. Does 5 divide u(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-24915)\/66)\/(-1) + (-1)\/2 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 11556 = -4*s. Is s a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5684918 rounded to four decimal places?\nAnswer: 0.5685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -7*z - 170 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 33*a - 3*u = -51249, 0 = -7*a - 3*u + 358635. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503*y**3 + 3 + 23524*y - 23524*y - 1205*y**3.\nAnswer: -1708*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1)\/(4\/(-4)*-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*r - 3180 wrt r.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 9*o**2 + 28*o + 122. Let s be a(-11). What is the greatest common divisor of s and 1400?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7126903 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -21*z**4\/4 + 2*z**3\/3 - 1575*z - 714. Differentiate u(c) wrt c.\nAnswer: -63*c**2 + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**2\/2 + 8. Let x(k) be the first derivative of k**3\/3 + 2. Calculate x(s(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g**2 - 2*g + 14737*g**3 - 14738*g**3 - 12*g**2 + 4 to the form b*g**3 + f*g**2 + o + v*g and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888852 is divided by 3668?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 103513?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73, -65, -53, -37?\n\"Answer: 2*d**2 + 2*d - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -3\/649, 194, -4, -4\/3, -1?\nAnswer: -3\/649","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/583132 and -23\/696?\nAnswer: 3498792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*o = 7 - 17, -2*x + 3*o + 2 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 40.388\nAnswer: -8.0776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -13. Let l(s) = -s**2 - 8*s + 17. Let r be l(g). Let -8*u**4 + 0*u**4 - 14*u**5 + 4*u**2 + 4 + 10*u + 6*u**5 + 6*u**5 - r*u**3 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73234912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 74*y. Let a(w) be the first derivative of w**2 + 1. Calculate a(h(p)).\nAnswer: 148*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1975 - -123703?\nAnswer: 123702.8025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**3 - 2*n - n**2 - 2*n**3 - n**2 - 1 - 4 + 0*n**2. Let g(d) = d**3 - d**2 - d - 3. What is 5*g(y) - 3*u(y)?\nAnswer: -y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 29 = 5*m, 6*m - m + 21 = z. What is the third smallest value in -6, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -26. Is z <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - 74 = 0. Let x be (g\/(-18) - 17\/(-153)) + 5. Which is smaller: -2\/119 or x?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 11*n + 16. Let w be f(-9). Let m be w\/(-3) + (-170)\/(-51). Find the common denominator of 113\/10 and ((-218)\/32 - (-3)\/m) + 3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(77) + sqrt(77))*-1*-6)\/((-2*sqrt(700) + sqrt(700))\/sqrt(4)).\nAnswer: 24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 j, and 1 x when three letters picked without replacement from {q: 2, x: 8, m: 3, j: 4}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/50)\/((-2342)\/5855))\/(2\/20)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.2342 * -1\nAnswer: -7.2342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 23*j**2 - 26*j + 40. Calculate n(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 262\/14 - 4\/(-14). Suppose 3 + b = w - v, 0 = -3*w - 4*v + 31. Let n = w - 28. Put n, 2, 1 in ascending order.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 - 4*h - 6. Let v = 5 + -4. Let g = v - -2. Let u(d) = -g*d**2 - 4 - d + 5*d**2 - 3*d**2 + 3. What is -c(n) + 6*u(n)?\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -169\/1321 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -174*g**5 + 56*g**4 + 89*g**3 + 88071518*g**2 wrt g?\nAnswer: -10440*g**2 + 1344*g + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -51, 1\/3, 1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 574\/5 + 2\/(0 + 10). Suppose -2*b + j = -37. Let q = b - -71. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from mseebtmbbee?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7431 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 515 - -28?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*210.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*b**2 - 19*b**6 - 11*b**2 + 0*b**2 wrt b?\nAnswer: -2280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -38*t + 272. Let s(j) = -37*j + 249. Let w(x) = -5*s(x) + 6*v(x). Determine w(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538 (base 13) in base 2?\nAnswer: -1101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 1\/4 (b) -0.4 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 9253980?\nAnswer: 9253980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**3 - 2*b - 1. Let o be h(-1). Let i = o - 10. What is the remainder when ((-2)\/i)\/(2\/153) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -2\/15 (b) 0.5 (c) 3 (d) -2 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 + -95. Let s = v + -129. Let r = s - -45.092. Round r to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5504 divided by 128\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58493434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Solve -2*g + 3*v = -2*v + 3, -5*v = -y*g - 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -659*j**2 - 4*j. Let o(q) = -q**2. Give w(o(p)).\nAnswer: -659*p**4 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5535127392?\nAnswer: 2, 3, 57657577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1334.1 times 0.5\nAnswer: -667.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 39150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 18 - 6)*(-86*c**2 + 12*c**3 + 86*c**2) + 2*c + 2*c**3 + 0*c - c.\nAnswer: -238*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 42 = 5*j + 110, j + 26251*d = 26254*d - 76 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r + 8*r + 0*r + (-1 - 1 + 4)*(-271 - 1108*r - 272 + 543) as h*r + y and give h.\nAnswer: -2213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 105985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1400)\/sqrt(8) - sqrt(21)\/sqrt(3)*1 - (-2 + 1*sqrt(7)*5).\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/12*15\/(-70))\/((-5)\/8)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 - 2*k + 2. Let t = 8560 - 8564. Let g(i) = -3*i**2 + i - 2. What is t*m(d) - 5*g(d)?\nAnswer: 3*d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.522 - 0.198. Let u = d + -0.28. Let r = u + -6. Is 2 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97 - 118*b**2 - b + 46*b**2 + 101*b**2 to the form z*b + w + t*b**2 and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeenlwbbbyw. What is prob of sequence ln?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 64, 93, 122, 151?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.1318 litres to millilitres.\nAnswer: 1131.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/3 + 238*n**2 + 28322*n + 3370318\/3 = 0. Calculate n.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - 3. Let q = -6 - -19. Let f = q + -13.2. What is the closest to y in -0.1, f, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -887, -3394, -7579, -13442, -20983?\n\"Answer: -839*h**2 + 10*h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -8) + -3 - 12\/4. Suppose o - 3*c = 5364, 5*o + w*c - 7*c = 26776. Let s = -3715 + o. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 - (-2 - (-1 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 4*q**2 - 5*q - 6. Let o be x(-5). Let i be 1*-3 - o\/(-3). What is the closest to 2 in i, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j + 0 + 1\/30*j**5 - 2*j**2 + 0*j**3 + 0*j**4. Let p(r) = -3*r**2. What is p(b(h))?\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ellelqeleelleeselel. What is prob of sequence lsql?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*u + 359*u + 801*u + 7740*u + 3140*u as k*u + t and give k.\nAnswer: 11954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8953652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 9:02 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**3 + 5*a + 3 + 9*a - 11*a - 9*a**4 + 10*a**4 as f*a**2 + r + s*a**3 + t*a + o*a**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -19502*u. Let v(c) = -c. Give f(v(h)).\nAnswer: 19502*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4 = -7*v. Let u(r) = -2*r**2 - 6*r - 4. Let k be u(-4). Let b = v - k. Calculate the least common multiple of 8 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 1. Let h(q) = q**2 - 8*q - 18. Let i be h(10). Suppose 4*b = -i*b. Determine s(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*u - 35, -2*u = 2*u - i + 77. Let c = u + 5. Let d be (c + 2)*1\/(-3). Solve -d*o + 2*x = -x + 15, -5*o + 5 = x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g**2 - g + 1. Let t(z) = -8*z**3 - 3*z**2 - 4*z + 5. What is -t(r) + 5*v(r)?\nAnswer: 3*r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 + 74488*w\/5 + 2012634\/5.\nAnswer: -2*(w - 37271)*(w + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/5 (c) -68 (d) 0.9 (e) -763 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 4. Suppose -2*o = -0*o - 3*k, 0 = o + 5*k - 26. Suppose i = -2*f - 15, 0 = i - 1 + o. Determine l(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4271584373 to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.05 - 0.05. Let q = -3.1 - -3. What is the second biggest value in -0.4, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 2. Suppose 16 - 6 = 2*i. Suppose -6*m - 55 + 211 = 0. What is the remainder when m is divided by z(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 v when three letters picked without replacement from cchennhehcenneehyev.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 25, 26, 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1904 - 1892. Sort 6, k, 5, -1.\nAnswer: -1, 5, 6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 841915498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111000 - -10?\nAnswer: -111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 5*o**3\/6 - 6*o**2 + 7*o. What are the prime factors of s(10)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1) + 7 + 0. Let p be (1\/2*m)\/2. Suppose -p*q - 3*b + 11 = -6*b, 3*b = -9. Is q smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in seconds?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + u + 18. Give l(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 31 - 3. Let k be 138596\/n - (-2)\/(-7). What is k rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 1494?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9600132 nanometers to millimeters.\nAnswer: 0.0000009600132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + (11 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 14*u**2 + 4. Let p(j) = -21*j**2 - 6. Suppose 5*z + 34 = 9. Give z*p(t) - 8*r(t).\nAnswer: -7*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100652 (base 8) to base 3.\nAnswer: 120000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167593.\nAnswer: 167593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.55362um in nanometers?\nAnswer: 36553.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, g: 1, x: 3, i: 1, z: 6}. Give prob of sequence gz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*r**2 - 1 - 5 + 86*r**2.\nAnswer: -7*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 - -2.3. Let l = m + -8.6. Put l, 1\/10, 1 in decreasing order.\nAnswer: 1, 1\/10, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0 - 3*j + 2*j + 2 - 1. Let d(h) = 12*h - 15. Calculate d(y) + 15*q(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75723639 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - o = -27 - 33, -5*y = -o - 100. Calculate the common denominator of ((-12)\/(-8))\/((-12)\/(-29)) and (-153)\/y + 10\/25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-160)*-10*1\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 420 = -4*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g. Let l(y) = -5*y**2. Let k = 1 + 2. Let n(j) = 6*j**2. Let i(t) = k*n(t) + 4*l(t). Give p(i(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 859*r**3 + r**2 - 1. Let k be g(1). Let h = 95 - k. Is 6\/(-18) + h\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-6 + (5 - 2)). Is (1\/w)\/((-4)\/2196) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4))\/(9\/(-33)*-11)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043320.\nAnswer: 2, 5, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6884677997?\nAnswer: 31, 7164077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o + 721. Calculate p(-60).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6)*1*-1. Let v = -1\/133 + 11\/19. Let o be 28\/(-84) + -4 + (-875)\/(-195). Which is the third smallest value? (a) r (b) -3\/2 (c) o (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 38 = -2*c - 28*s + 20*s, 0 = 2*s + 64 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000598764 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2090*a - 2088*a - s - 8, -2*s = 7*a + 35 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 244335 less than or equal to 244408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -602620484 divided by 4?\nAnswer: -150655121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(1\/6). Let g = 15 + u. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*q**5 + 99*q**5 + 84 + q**6 - 2*q**2 + 84*q**5 - 28*q - 163*q**5 + 10*q wrt q?\nAnswer: 120*q**3 + 6540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397346 is divided by 737?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.1, -20, 1 in decreasing order.\nAnswer: 6, 1, 0.1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -233 + 268. Suppose 0 = b - 3*h + 8, -4*b + x*h - 30*h = 53. Which is smaller: b or -15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 - 2*g + 3*g**4 + 5*g**2 - 3*g**3 - 4*g**4 to the form t*g**2 + i*g + n*g**4 + k + f*g**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Let g be (3\/m)\/(-4 - -5). Suppose 9 = -g*j + 3*w, 5*w - 3*w - 5 = 3*j. What is the second biggest value in -2, -4, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -721496*p - 2886046. Give k(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + (sqrt(192)*2)**2 + -3)*5.\nAnswer: 3847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 30. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -45. Suppose -2*u - x*c = -0*c - 32, c = -4. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.566, -3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4374158 centimeters?\nAnswer: 4374.158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1734433?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -22*g + 3. Let y(x) = -3*x. Determine k(y(p)).\nAnswer: 66*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:01 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-30))\/11 - 713\/690.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(1 + (-1)\/2). Suppose -3*k + 6*k = -3. Is k not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 8:24 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -145, -234, -355?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -166, -194, -218, -238, -254, -266?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 14 = -5*f. Suppose 0 = f*q - 2*q. Suppose -2*n + u + 19 = -q*n, 5 = 5*u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/45682 and 52\/3?\nAnswer: 137046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*m - 5*b - 5, -11*m - 3*b = -38. Let v be 2\/((-2)\/(-11) + 0). Solve 2*u - v = -m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -97249*o + 2*o**4 - 7*o**4 - 65*o**3 - 195*o**2 + 97114*o.\nAnswer: -5*o*(o + 1)*(o + 3)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93929, 93928, 93927, 93926, 93925?\nAnswer: 93924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-104)\/312)\/((-124)\/123 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1105103 is divided by 1232?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h - 4 - 9*h + 5 - h. Let t(w) = -4*w - 14. Suppose 7*d = 10*d + 12. Let n be t(d). Calculate c(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*i - 53*i + 2 + i**2 - 40*i**3 as c*i**3 + n*i**2 + v + a*i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 2, -1 in decreasing order.\nAnswer: 9, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x. Let s(j) = 2*j. Let c(k) = 2*a(k) - 5*s(k). Let d(o) = 4*o - o - 11*o**2 - 3*o. What is d(c(b))?\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*o - 39*o - 1935 - 805 = -465 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1854, -7442, -16800, -29958, -46946, -67794?\n\"Answer: -5*f**3 - 1855*f**2 + 12*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/27)\/(2\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r + 3. Let k(x) = -5*x**2 + 14*x. Let i(u) = u**2 - 2*u. Let q(p) = 14*i(p) + 2*k(p). Determine j(q(m)).\nAnswer: -48*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5304205 + 20?\nAnswer: 5304225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/5 - 4*r**3\/5 + 21*r**2\/5 + 20*r + 20.\nAnswer: -(r - 5)*(r + 2)**2*(r + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -444 + 440. Let s be (152\/16)\/((-2)\/q). Which is smaller: s or 20?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 4)*(2 + 0 + 0)*((63*p - 119*p - 81*p)*(-30 + 14 + 39) - 1 + p + 1).\nAnswer: -18900*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:43 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 40, 95, 166, 247, 332, 415, 490?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3 = 1, 3*z = j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -74\/41, 4\/9, -3, 2.4 in ascending order.\nAnswer: -3, -74\/41, 4\/9, 2.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 0.013243?\nAnswer: -1.986757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550 is divided by 139?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 1089289?\nAnswer: 1089294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oamo when four letters picked without replacement from {y: 6, m: 3, o: 3, j: 5, a: 1}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:21 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69660?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 24. Let g be u(12). Solve 3*k - 4*p + 4 = 0, 4*p + g*p + 4 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 + 0.17. Let w = r - 0.02. What is w rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35519657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 81 - 73 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**28)**(-2\/51) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(18)\/(sqrt(27)\/sqrt(3)).\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1685.\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {l: 4, h: 1, j: 2, t: 8}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h - 10. Let m(j) = 12*j. Let q(t) = -61*t. Let o(g) = -5*m(g) - q(g). Calculate 6*o(l) + y(l).\nAnswer: -2*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + -1 - (-21)\/(-14) - 260664\/(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Suppose 2*y + 8 = 0, 0 = r*i + y + 2*y. Solve 2*z + 45 = -2*z - 5*f, -25 = z + i*f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-10))\/((-1)\/(-106)). Let c = u + -30. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -4*k - 2*k. Find the third derivative of -31*s**4 + k*s**4 + s**2 - 5*s**4 wrt s.\nAnswer: -552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1927 - 1978. Which is the second biggest value? (a) -4 (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence icow when four letters picked without replacement from {c: 3, o: 2, i: 6, w: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -189 - -334. Calculate the common denominator of -5\/16 and o\/(-20) + -2 + 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000343119472 to five dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45231.23 millilitres in litres?\nAnswer: 45.23123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104300?\nAnswer: 2, 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589495211.\nAnswer: 37, 773, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = 0, -4*p + 5*v + 0*v + 63 = 0. Suppose 0*m + 4*m - 3*z + p = 0, 0 = -3*m - 3*z + 12. Solve 0 = h + 2 - m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from ttqytqzqyt?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7050.998 + -7124. Let s = 76 + c. Let u = 0.002 + s. Sort 0.5, -1\/8, u.\nAnswer: -1\/8, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208787 is divided by 10209?\nAnswer: 4607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 12:57 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b + 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 0*n**2 + 11 - 2*n**2 as j*n + l*n**2 + u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tid when three letters picked without replacement from {d: 1, i: 2, x: 1, q: 1, t: 1, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*u + 2*u - 1642 = 0, -3*u = 3*y - 4881. Is 18 a factor of (-2)\/(-6) + y\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21116 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a minute in seconds?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b + 108. Let d be s(36). Let y be (-18)\/d + 5\/12. Let 1\/3*j**2 - 1\/3*j - y = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -20*y**5 - 6*y**3 + 106. What is the third derivative of c(a) wrt a?\nAnswer: -2400*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(1\/(-2) + 0). Suppose w = p + 4*p - 20. Let t = 8 - p. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, s: 5}. What is prob of sequence sa?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-8)*(-1 - 0). Suppose -m = m + 136. Let l = 474\/7 + m. Put b, 0, l in descending order.\nAnswer: b, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12243 (base 6) to base 14\nAnswer: -947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -149\/25?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t = 12. Let r(m) = m. Let g(b) = 2*b**2 + 4*b + 7. Let y(l) = g(l) + 6*r(l). Is y(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2826002\/25 + 113094. Let z = t + -66479\/1200. Find the common denominator of z and -103\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0811*-0.1.\nAnswer: -0.00811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.5 (c) -2 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 7. Let z(p) be the second derivative of -p**3\/6 + 4*p**2 - 88*p. Calculate -6*t(o) - 5*z(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-5 + 4)*-7. Suppose 2 - 12 = -g*y. Suppose 0*l - 2*l = -4. Solve 0 = -4*s + 4*x - 12, -3*x = -y*s - 11 + l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 3. Let m be w(-1). Solve 9*h + m = 7*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2857457\/72 - 39688. Let j = h - -181\/24. Let b = 8693\/4 - 2156. Calculate the common denominator of j and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5\/3, 2, -0.2, -798?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28314 is divided by 998?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 85\/81 in -0.7, -2\/11, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37622?\nAnswer: 2, 13, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-16275)\/540)*5\/(-6)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66*x**4 - 1350*x + 3056188 wrt x?\nAnswer: -264*x**3 - 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*i - 85*i - 2*v - 30 = 0, 2*i + 46 = 6*v for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 9*c**2 + 8*c - 4. Let r be z(8). Sort r, 3, 1, 2 in increasing order.\nAnswer: r, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*n**2 + (-3*n + 4*n - 7*n)*(-2*n - 1 + 1) + (5*n + 2*n - 4*n)*(-1 - 3 + 5)*(7*n - 6 + 6).\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -903*x + 56 = -901*x. Solve v = -4*t + 6*v - x, -12 = 2*t - 2*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.132907 times 0.4\nAnswer: 0.0531628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2)*1)\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-3) + (-27336)\/(-18) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 63 = 2*r - 7*r, 3*y + 1 = -r. Suppose 3 = -3*p, 5*p - 103 = -s - r. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1446586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 2*w**2 + w + (3 - 2*w - 3)*(4*w + 3*w - 4*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1926690948.\nAnswer: 2, 3, 7, 13, 101, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55713962746 take away 0.2?\nAnswer: 55713962745.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 406, -7, 0.3, 2, 0 in ascending order.\nAnswer: -7, -1, 0, 0.3, 2, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 105652 and 105623 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.8 - 11.2. Which is the nearest to -1? (a) y (b) -12 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -2\/21, -34, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 9105777?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {a: 6, u: 3, t: 1, d: 2, o: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {l: 2, f: 2, u: 7, z: 6, a: 1}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76, 141, 206, 271, 336, 401?\n\"Answer: 65*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714964 is divided by 178726.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -243674 (base 12) in base 9?\nAnswer: -1083767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -122221102?\nAnswer: 122221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23443 - -1312411?\nAnswer: 1244524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -434 - -438. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 0 + 2 - -126. Suppose 5*o + 0*o - m = 0. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*d = 24799 - 964. What is the remainder when d is divided by 2*3\/(-6) + 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hufhfhhhuhuuhuh. What is prob of picking 1 f and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 481*g**3 - 91*g**2 + 91*g. Let v(n) = -16*n**3 + 3*n**2 - 3*n. Calculate -3*j(c) - 91*v(c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -395*v**4\/2 - 1349*v**2 + 61*v. Differentiate k(u) wrt u.\nAnswer: -4740*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.8. Let r = 3.5 - 4. Let w = r + j. Sort -2\/17, 5, w in ascending order.\nAnswer: -2\/17, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:52 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 10 = -7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*((0 + 0 - 2*i)*(-221 - 169 + 154) - i + i + 12*i).\nAnswer: -484*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*sqrt(175)*2 - sqrt(175)))**2*2.\nAnswer: 113400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -3*4\/4)\/(-1). Solve -l*b - 3*g + 10 = -b, 4*g - 4 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53\/14 - 30\/7. Sort 0.05, 0, u, -0.2 in decreasing order.\nAnswer: 0.05, 0, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - 56\/210*249\/8 and 139\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0794 * -7309.\nAnswer: -580.3346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -872753.91103285 - -1572620.93703278. Let r = -699867 + v. Let q = r + -0.026. What is q rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -114 - 104. Let g = 84 + z. Let h = g - 181. Calculate the highest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5172 in 4\/3, 0, -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**4\/12 - 26*c**3\/3 - 279*c**2\/2 - 7*c + 162. What is d(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 37 = -1. Suppose -3*l + 6*l + 27 = 0. Let u = l + x. Solve 0 = -0*i + u*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 17086*r + 1243. Is t(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - (-4 + 3)) + -33 + 26 + -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n + 2. Let l(v) = -45*v - 9. Let a(x) = -5*l(x) - 21*q(x). Suppose -4*j - 62 + 74 = -3*c, 5*c - 49 = -j. Determine a(j).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 6. Let b(c) = 11*c + 13. Let m(n) = -13*a(n) + 6*b(n). Let r(d) = 5*d**2 - 2*d**2 - 5*d**2 + 3*d**2. Determine m(r(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33959 + 132117\/4. Let x = -33397\/36 - z. Find the common denominator of 97\/18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.7 * -4\nAnswer: 70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -96 (c) -3\/5 (d) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + u - 5 + 5 in the form l*u + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - 3a?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 1:31 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29508 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118878 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170796 by 42699.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*v + 44. Suppose -2*m = q - v, 0 = -2*m + 7*m - 5*q - 10. Put m, -3, 60 in ascending order.\nAnswer: -3, m, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/7 - 144232*l**2 - 24232232*l\/7 + 52502944\/7 = 0. Calculate l.\nAnswer: -26, 2, 504836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4479*d + 4479*d - 126*d**2.\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116573*d**3*i**2 + d**2*i - 65*d*i**2 - 32*i**2 wrt d.\nAnswer: 699438*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o - 21 + 7*o**2 - o**3 + 4*o + 6*o**2. What is the common denominator of y(14) and ((-15)\/(-55))\/(6\/(-20))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13295?\nAnswer: 5, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/546 and -41\/51?\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*1\/(-3 + 4). Solve -9*d = -11*d - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194564 is divided by 9406.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/39834 and 49\/6?\nAnswer: 39834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(180\/16)\/9. Suppose w*y - 3*y + 12 = 0. What are the prime factors of ((-4)\/y)\/(4\/66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - 23. Let h(u) = -10*u**2 - 115. Let b(t) = -11*g(t) + 2*h(t). Let s(d) = d. Calculate b(s(p)).\nAnswer: 2*p**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3687*o - 58307 - 14709 - 22846 = 0 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**8\/1008 - r**6\/180 + r**4\/72 + 3*r**2\/2 + 2*r. Let u(c) be the first derivative of o(c). Determine t so that u(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g - 32*g = 2*k + 30, 5*g + 592*k + 1728 = -1869 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3 minus -9865441669?\nAnswer: 9865441660.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 1\/7, 0.0517, 0.7?\nAnswer: 0.0517","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -298\/45 - 1\/10. Calculate the common denominator of -42 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/20 and -47\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(3\/4))\/(m\/m**(1\/2))*m*m**(-1\/10)*m**(-1\/5)*m assuming m is positive.\nAnswer: m**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, p: 4, w: 2, g: 6, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56180389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 12657056?\nAnswer: -1\/12657056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-30)*48*1\/(-4).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*l - 4 = 1, 4*a + l = 4. Let x(p) = -2*p. Let d be x(a). Let o(i) = -28*i - 1. Is o(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10641*s - 21028*s + 10789*s.\nAnswer: 402*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-8 - (-1925)\/240)*2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d6 - c3?\nAnswer: -2b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 + 858.5.\nAnswer: 881.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306054048 divided by 207776.\nAnswer: -1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 616 divided by 4\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - b + 5, 11*b + 46 = 5*f + 5*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 20*k**2 + 17*k - 10. Let n(p) = -p**2 + 1. What is 8*n(x) + y(x)?\nAnswer: 12*x**2 + 17*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-16) + 6\/20 + (-878407281)\/(-7080) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 583*t**2 + 7*t + 33. Let w be x(-4). Suppose -q + 3839 = 5*i + 740, -3*q = -3*i - w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1290, -2579, -3868?\nAnswer: -5157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 21*l**2 - 16 + 26*l**2 = 0. What is l?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1101, 5 in descending order.\nAnswer: 1101, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*t - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-228)\/16 - 4\/(-16). Let m be ((-49)\/2)\/(7\/k). What is the highest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.5. Is -1 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 1, t: 7, d: 9}. Give prob of picking 2 b.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 77*h + 432. Let c be j(82). Let b(y) = -y**3 + 22*y**2 - y + 30. Calculate b(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4081 divided by 16706?\nAnswer: 4081\/16706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -259*h + 259*h - 9*h**2 - 5*h**3. Let v(g) = 2*g**3 + 4*g**2. What is -4*m(b) - 9*v(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 0*x + 3\/4*x**4 - 54 - 51\/2*x**2 + 16*x**3. Determine i so that a(i) = 0.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 466*c - 4185. Determine i(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -38, -3, -7984 in ascending order.\nAnswer: -7984, -38, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (17 - -9) - (-105 + 5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kggikklkkkkkkkkkggi. Give prob of picking 1 g, 1 l, and 1 k.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*n + 9 = -15, 3*z - 27 = 4*n. Solve -2*v = -3*b - 3*v + 10, 10 = z*b + 5*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = -5*c + 3864. Factor -211*g - 4*g**2 + 267*g - c*g.\nAnswer: -4*g*(g + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24190 times -10.28\nAnswer: -248673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/36)\/(40\/64). Sort k, 3, -5, 1 in increasing order.\nAnswer: -5, k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 5*f = 7*s - 21, -2*s = -2*f + 6. What is the lowest common multiple of 38 and s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -20. Let l = -1 + s. Let j = 82 - 81.9. What is the closest to j in l, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + q**4 + 39*q + 16*q**3 - 38*q - q**2 = 0.\nAnswer: -16, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6714201 and 272.\nAnswer: 107427216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v. Let m(t) = 48250168*t**2. Calculate m(h(l)).\nAnswer: 1206254200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, w: 8, k: 7}. Give prob of picking 1 l and 1 w.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = -14. Let s(q) = 235*q - 9814. Let i be s(42). What is the greatest common factor of i and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222666, 445334, 668002, 890670, 1113338, 1336006?\nAnswer: 1558674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 1, e: 2, i: 1, k: 2}. What is prob of picking 1 k and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -10*t**2 + 5*t**2 + 4*t**2 - 3*t**2. Let s(a) be the third derivative of 5*a**4\/12 + 22*a**2. What is s(w(g))?\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/7))**(4\/25))**(-6)*(z**(1\/3))**39\/(z\/(((z*z**(-1\/4)\/z*z)\/z)\/z*z*z))**(-39) assuming z is positive.\nAnswer: z**(15637\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - i - 1. Let v(s) = 2*s - 4. Let w(g) = -2*a(g) + v(g). What are the prime factors of w(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrsrssusssrrrrrrsrr.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/270 and 17\/10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 82378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 12 = l. Suppose -l*s + 4*c = -s - 10, 2*s + 5*c = -24. Which is smaller: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3464056 divided by 4?\nAnswer: -866014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 19. Let u = 23 - y. Let a = u + -22. Solve x = 3*x + a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (9 - (-7 + (3 - -6) + 3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 = 54*s - 118 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 287 and 231.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 9, g: 1, u: 4, r: 3}. Give prob of picking 1 i and 1 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -8. Are j and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223838 is divided by 2945.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5 + 10*p**4 - 14*p**3 + 6*p**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -97. Suppose u + 2*p = 14, -4*u - 3 = 5*p - 56. Calculate the remainder when r is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 0*t**2 + 0*t + 0*t**4 + 8\/7*t**7 + 7 + 0*t**5 + 0*t**6 + 8\/3*t**3. What is the third derivative of v(s) wrt s?\nAnswer: 960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6851 - 6843. What is the lowest common multiple of 148 and g?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 - 2 = j, j - 3*n - 11 = 0. Let a(y) = 2 - 2*y - y + j*y. Let k be a(-9). Is 11 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/21)\/((-2)\/(-9)). Suppose 4*n + 348 = u*n. What are the prime factors of n?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 5*w + 26. Suppose 0 = 2*b - u - 2, 10 = 2*b + u - 0*u. Let y be d(b). What is the highest common factor of y and 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3452521349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z - 1\/3*z**3 - 4*z**2 - 95. Calculate u(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.95 - -0.05. Suppose -r = -0*r. What is the third biggest value in t, r, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 181 + 107. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50.998 or 48\/23?\nAnswer: 48\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9e66ae (base 15) to base 6.\nAnswer: 430050345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j**2 + 8*j. Suppose -347 = 11*c + 93. Let g(p) = -p**2 - p. Determine c*g(s) - 5*q(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + (-92 - -202) + -88?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(190) - sqrt(190)*2*-3)\/(sqrt(10) - sqrt(180)\/sqrt(2)).\nAnswer: 35*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 848011?\nAnswer: 848007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604 (base 13) in base 3?\nAnswer: 11102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 0.05 (c) 4 (d) -2784\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f + 20*f + 7*f + (1 + 2 - 1)*(-2*f + 2*f - f) - 3*f - 3*f + 4*f - 2*f - f + 5*f)*(4 + 3 - 6).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.7 - -2.7. Is -0.1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 13050*m + 38082*m.\nAnswer: 25032*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19776 plus -4?\nAnswer: 19772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7792, 7891, 8166, 8707, 9604, 10947, 12826?\nAnswer: 15331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 249553170 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/29 (b) 18 (c) -1 (d) 0.1 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by (109\/(-218))\/((-3)\/(12*5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 104, 263, 422, 581, 740?\n\"Answer: 159*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*j - 133, 54*i = -j + 49*i + 35. Calculate the remainder when 1422 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-39)\/(-12) + (-3)\/12. Does 21 divide (525\/9 - 1\/3) + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8565788.\nAnswer: 2, 7, 11, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5 - 66*p**4\/5 + 42*p**3\/5 + 178*p**2\/5 + 12*p = 0. Calculate p.\nAnswer: -1, -2\/5, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 8*d**2 - 216*d - 661. Let y be n(-3). Solve -7 - y = 4*u + 2*t, 4*u = 3*t - 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 - 3.498. Let g = 4.998 + j. Put 1, -3\/7, g, -2\/5 in ascending order.\nAnswer: -3\/7, -2\/5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**4 - 6 - 7*h**4 + 8*h**5 + 9*h**5 + h + 2*h**5 wrt h?\nAnswer: 380*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4845666278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 21*j**2 + 182*j - 11. Let t(z) = 48*z**2 - 30*z**2 + 2 - 36*z - 22*z**2. Let g(s) = 2*k(s) + 11*t(s). Factor g(r).\nAnswer: -2*r*(r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 13. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 987952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (9 + -12))\/(3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**7\/420 - u**4\/8 + 2*u**3\/3 + u. Let s(b) be the second derivative of r(b). Differentiate s(p) wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g + 103. Let d be k(13). Sort 1, 4, 2, d in increasing order.\nAnswer: d, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82107408655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8*a + 880 = 0. Suppose -a = 5*j - 9*j. Solve 3*n = -5*c + j, 4*c - 2 - 10 = -n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/2)*j**(2\/7)*((j*(j\/(j**1\/j))\/j)\/j)**(-45)*(j\/(j\/((j*j*j**(-2\/11))\/j))*j**3)**(1\/89) assuming j is positive.\nAnswer: j**(11357\/13706)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14521399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*z - 5*v, 4*z - v = -0 + 2. Suppose -4*g = -5*o, z = 2*g - 0*g + 3*o. Which is the second biggest value? (a) g (b) 0.6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 198?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 8 = x, 0 = -2*x - 26*u + 29*u - 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/15)\/((-2)\/(-6)). Suppose 0 = -b*v + 12*v - 20. What is the second derivative of -3*t**v - t - 7 - 4*t + 7 wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1*-7*1. Suppose 4*k = -4*r + 259 - 243, 5*k - 4 = 3*r. Solve 4*v - 12 = 4*z, -k*z + 5*v = -w*z + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676089.\nAnswer: 3, 43, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 35 = -2*q. Let n(g) = -g**3 + 18*g**2 - 24*g + 21. What is the tens digit of n(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j - 152 = 108 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45666685 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(12\/(96\/(-20))))\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/43))**(-29))**13 assuming d is positive.\nAnswer: d**(-16588\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((3 - 3)\/(-1))\/(-2))\/(-1). Suppose q = 3*g - 2*g - 11. What is the greatest common divisor of 55 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(396) + -2)**2.\nAnswer: -72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*((n**4*n*n)\/n)\/n)\/n**(3\/5))**18)**(-39) assuming n is positive.\nAnswer: n**(-15444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0022 rounded to two decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6 = c - 5, -3*c + q + 77 = 0. Suppose 0 = -c*b - 45144 + 208896. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -24*s - 78. What is b(0)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.03952cm to micrometers.\nAnswer: 40395.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1323100 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*f + n + n, 0 = 5*f - n - 15. Suppose a - m = 1 - 24, f*a + 4*m = -46. Let x = -239 + 216. Is x < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1279449100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = -4*q + 13*b + 2393, -2989 = -5*q - 2*b. Let l = q - 595. Solve -4*o - f = f - l, -11 = 3*o + 5*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*a**4 + 60438*a**3 - 2035041*a**2 + 17475912*a - 15501456 = 0 for a.\nAnswer: -443, 1, 108\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 6 + 7*s**3 - 44.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203010 - 21?\nAnswer: -203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/3 - 151768*v + 455303\/3 = 0. What is v?\nAnswer: 1, 455303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:10 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/11 (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-81)*360\/840. Let y = 0.05 - -4.95. Which is the smallest value? (a) r (b) y (c) -0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*x + 3 = 2*u - 750*x - 11, 15 = -5*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-24))\/((-18)\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6680.331 centimeters to meters.\nAnswer: 66.80331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-9) - 4)\/((-21)\/(-18)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4\/(-4)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372998 is divided by 17724.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.5 + -0.5. Let u = -19.0066 + s. What is u rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**4\/6 - 7*u**3\/3 + u**2\/2 + 10*u + 100. Let m(h) be the first derivative of z(h). Find the first derivative of m(n) wrt n.\nAnswer: -4*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*h**2 - 12 + 6 + 33*h**3 + 6 wrt h.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -206 + 90. Let t = w + 79. Let u = -36.46 - t. What is u rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 - (2 + -3). Let j(o) = 11*o**u - 6*o - o**3 - 5*o**2 - o + 2*o. What is j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 9*h**2 - 8 + h - h**4 - 3*h**2 in the form b + f*h**2 + u*h**4 + d*h**3 + p*h and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4803\/(-60838)*209\/(-165).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3 + -3 + -31 + 37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 6*z + 10. Let n(x) = 8*x**2 + 12*x + 12. Let j be n(-1). Calculate o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/23))\/(u**16\/u*u*u) assuming u is positive.\nAnswer: u**(-366\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 519717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01758 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -387812111 divided by 97?\nAnswer: -3998063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5\/4, -2\/5, -10, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39666 + 2a0?\nAnswer: 39956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12743 minus -0.175?\nAnswer: -12742.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 1. Let c(b) = 20*b - 15. Let k(s) = c(s) + 15*y(s). Let t(v) = -1. Let m(r) = 2*r + 3. Let i(f) = -m(f) - 3*t(f). Give i(k(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 9579?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -891 + 575. Let u = o + 358. Calculate the remainder when 151 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -29*g**5\/2 - 12003*g**4\/4 + 101553*g**3 + 106780937*g**2\/4 - 1124357052*g - 1090116720 = 0?\nAnswer: -159, -55\/58, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 48 = 150. Let k be 3\/r - 1\/(-2). Which is the nearest to 0? (a) -2\/7 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + -1 + -3 + sqrt(8)\/sqrt(64)*-1.\nAnswer: -4 + 19*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Let u = w + -3. Let z(p) = -p - 7. Let m(i) = -i - 4. Let g(c) = -5*m(c) + 3*z(c). Determine g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -45*z**2 - 180*z + 6. Let g be s(-4). Let m = 2.5 + -2. What is the third smallest value in -1, 5, g, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10308060 by 756.\nAnswer: -13635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 356*c + 2240. Let m(k) = 721*k + 4482. Let s(o) = -5*i(o) + 2*m(o). Differentiate s(p) with respect to p.\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561, 2367, 5397, 9639, 15081, 21711, 29517, 38487?\nAnswer: 48609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z - 6 - z**3 - 4*z**2 + 20 + 0*z**2. Suppose -2*x + a - 25 = 0, -5*x + 6*a - 2*a = 70. Is v(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4141827 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 140*c**2 + 288*c + 16 = 0.\nAnswer: -2, -2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/7, 17, -19, -29, 15 in increasing order.\nAnswer: -29, -19, 0, 4\/7, 15, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 50 = -g, 3*g - 546911 = -d - 546929 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2039*s - 44. Does 31 divide l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q - 165. Find the second derivative of -4*k - q*k**4 + 55*k**4 - 8*k**5 wrt k.\nAnswer: -160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2. Let q(z) = -43*z**2 - 14*z + 2. Let u(w) = -3525*w**2 - 1155*w + 165. Let k(s) = -165*q(s) + 2*u(s). Give a(k(o)).\nAnswer: -8100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 4. Find the third derivative of -5*x**d + 10*x**5 + 5*x**5 + 4*x**5 + 3*x**2 wrt x.\nAnswer: 840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305857280644 + 146*p + 305857280644.\nAnswer: 146*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 236780.39114 to the nearest ten.\nAnswer: 236780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 75791 = -14*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from aaqsaaaytaaayyysay.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 11, e: 2}. Give prob of sequence iei.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -d8dd?\nAnswer: -d8da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 5*h + 677 + 4978 = 0. Calculate the highest common divisor of 1073 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -29. What is the biggest value in 3, q, -0.5, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p. Let y = -127 + 11. Let s = -75 - y. Let w = s + -38. Calculate l(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + -20. Let w = 1601 + -2072. Let o = d - w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.4. Let o = p + -3.4. Do 0 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/108 - (-374)\/18?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 310.2 - 315.2. Which is the closest to 1? (a) 1 (b) -36 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -2*v - 102. Let z(x) = x + 3. Determine -2*t(d) - 2*z(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -211, 0.09, 0, 1\/2, -2\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -14, -10, 4, 28, 62, 106?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7}. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 3\/77 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 101 - (-1525 + 1464)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - g**2 + g + 1. Let n(y) = -y**3 - 1. Let x(v) = -b(v) - n(v). Let k be x(1). Solve -k*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 560 - 109. List the prime factors of j.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**3 - n**2 + n + 1. Suppose 0 = 5*u + 3*h - 4 + 18, -u = -2*h - 5. Determine y(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -70) + -85 + 1 + (0 - 3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -51, -94, -165, -270, -415, -606?\n\"Answer: -c**3 - 5*c**2 + c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 0*f**4 + 0 - 3\/14*f**7 + 0*f**5 + 0*f**6 + 10*f + 0*f**2 + 13\/6*f**3. Find the second derivative of g(m) wrt m.\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482817505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(o - 3*o + 3*o)*(0 + 0 + 2 + (3 - 2 - 2)*(2 - 2 + 2) - 4 + 7 - 1 - 5 + 2 + 5) - 5*o + 3*o + 0*o + (-1 - 14 + 5)*(-144 + 26*o + 144).\nAnswer: -254*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -603, -602, -603, -606?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9116, -9591, -10068, -10547, -11028, -11511?\n\"Answer: -t**2 - 472*t - 8643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 18. Let w be n(-10). Suppose 4*u = -4*h + 36, -3*h - 3 = -5*u + 2. Sort w, 3, u.\nAnswer: w, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 8*v - 6. Let u be c(5). Let p = u - 33. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -110*6\/12*1. Does 5 divide (n - -138) + (-4)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10021211002 (base 3) to base 15.\nAnswer: -142b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n + 72. What is h(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.076 + -2.076. What is the nearest to 0.1 in -0.2, c, -1.7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 31*j = 342335. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + (sqrt(125) + 0)**2 + -2 + sqrt(50)\/(sqrt(160)*2).\nAnswer: 41*sqrt(5)\/8 + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 488 - 470. Calculate the remainder when ((-14)\/(-4))\/(13\/130) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose -2*p = 2*h + 46, -3*p - 3*h = -h + 73. Let x be (-21)\/p + 2\/9. Solve -k*y - x = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13188294 and 5593?\nAnswer: 13188294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 b when three letters picked without replacement from {b: 2, i: 1, t: 1, c: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {h: 9, w: 2, x: 6}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691936 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 is the derivative of 12*c**3 + 126*c**2*n**2 + 3271*c - 4*n**2 - 1185*n - 22 wrt c?\nAnswer: 36*c**2 + 252*c*n**2 + 3271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1037, -2136, -3235, -4334, -5433, -6532?\nAnswer: -7631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -261 + 65 + 70 + 69 + 63 - 2*x. Let q(p) = 6*p**2. Calculate q(m(d)).\nAnswer: 24*d**2 - 144*d + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-12) - (-4)\/6. Suppose -9*d + 12*d = 3. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -75*a**3 - 379*a**2 - 11*a + 7. Determine h(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 120 + 44. Is 18 a factor of x*(2 + -1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7915 divided by -7915\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -0.1?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 6*d**2 - 53*d - 552. Let y be p(-8). Solve -4*b - 139 + 163 = y for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 6*j**2 - 2*j + 4. Let g be m(6). Let n = 15 + -10. Let t(z) = 7 - 5 + 3 + 11*z + 0. Let q(o) = 7*o + 3. Calculate g*q(k) + n*t(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trr when three letters picked without replacement from rtrrrttrrr?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 5*f**2 + 5. Let b be j(-5). Let l be (-3)\/(-1)*(0 - -1). Suppose -l = 4*k - 5*k. Is b less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 62 - 69 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -99. Let y be (8\/10)\/(w\/(-10)). Let t(p) = 3*p**2 + 2*p + 1. What is t(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83056482*i**2 + 98415 with respect to i.\nAnswer: 166112964*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**2\/2 - 10*d - 3. What is b(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(84) + sqrt(84)*-2 + sqrt(84))*-5 + sqrt(84))\/(1*sqrt(24)\/sqrt(2) + sqrt(12)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20 + -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4394762 centuries in millennia?\nAnswer: 0.04394762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2314 and 9237132.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 10 = -8*u. Let h be 10528\/35 - u\/10. Suppose 3*w = 5*g - 641, -203 = -4*g - 2*w + h. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:25 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 15*d + 1630. Is h(-85) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346704 divided by -2?\nAnswer: 173352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*j - 5, 2*j - 7*j = 3*t + 5. Suppose 5*v + t*v = 20. Let o be (-2)\/v + (-222)\/(-4). What is the greatest common divisor of 22 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.9528 rounded to zero dps?\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 - ((-31 - -8) + 1 + 15)) + 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 15, a: 3}. Give prob of picking 1 a and 1 o.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 - 7495*a**4 - 415665*a**3 - 5660685*a**2.\nAnswer: 5*a**2*(a - 1553)*(a + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-9)\/24*(-84)\/(-63).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.1. Let x = -0.2 - i. Let z = 137\/88 - 11\/8. Which is the nearest to x? (a) -0.3 (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 - 7*l + 2. Let r be u(-7). Let w(s) be the first derivative of -s**3\/3 - s**2\/2 - 8. Calculate w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 9*p**2 - 10*p - 13. Suppose -y - 4*y + 5 = 0. Suppose -29 - y = -3*o. Let d be g(o). Which is bigger: d or -14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/32136927 and -46\/7.\nAnswer: 224958489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1 + 6\/(-4)). Let r = -0.1 - 0.1. Which is the closest to -1? (a) -1 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5396 is divided by 1781?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 896*k**2 + 0*k + 3 - 895*k**2. Give p(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1062950 or -1062939?\nAnswer: -1062950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5 + -7. Let o = w - -2. What is the second biggest value in -4, 3\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46c (base 14) to base 6\nAnswer: -4024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:29 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-110))\/9*64\/128?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3542 divide 601140575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.012477063*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(7 + 20\/(-8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-91 + 226 + 91)*(3 - 3 - o)*((2 - 1 + 0)*(-2 - 2 + 6) - 5 + 0 + 12) to the form c + s*o and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 175*c + 2330. What is the lowest common multiple of 2 and t(-12)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1165*v + 236487. Determine d(-203).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Suppose 2*v - 2*y = 10, 3*v + 2*y + g = -10. Suppose v*r + r = 13. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*n + 2156 = -51*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-145)\/(-25)) + 2\/(-10). Let h(z) = -3*z - 8. Is h(s) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25339 (base 10) in base 6?\nAnswer: 313151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 2*n**2 + 1. Let l be x(2). Let r be l - 1 - 5\/(-1). Suppose -36 = -2*m - 2*y + r*y, m - 2*y - 18 = 0. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17586976531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1346 and 8.\nAnswer: 5384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h + 72 + 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4634301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -66150 divided by -6\nAnswer: 11025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1179462467?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*((sqrt(612) - (sqrt(612) + (sqrt(612) + 0 - sqrt(612))) - sqrt(612))*1 + sqrt(612) - sqrt(612)) + -5 + 1 + sqrt(612) + sqrt(612) + -5))**2 + -3.\nAnswer: -1728*sqrt(17) + 39489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.01 + 1.44. Let d = n - 12.43. Put d, -0.1, 0 in decreasing order.\nAnswer: 0, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97.6 + -98. Suppose -2*g = n - 6, -17 + 7 = -2*g. Let i be (-16)\/(-132)*(-6)\/n. Which is the closest to -1\/2? (a) -4 (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -73171\/5, 6\/5, -0.3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -0.0719 (c) 0.04 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*n + 127 = -322*n + 4684 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 43 + 20. Is u > 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65140.\nAnswer: 2, 5, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 16 = -2*o, -5*i = -i + o - 5. Suppose -12*v = -i*v - 220. Let p(s) = 4*s - 75. Let a be p(v). Solve 0*u + u - a = -4*x, 10 = 4*x + 2*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5552208 divided by 1?\nAnswer: 5552208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z - 31. Let d be b(9). Suppose -w - 53 + d = 0. Solve -3*f - w = -0*f, -3*u + 10 = f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1086 - 678 + 189 - 1529 + 537)*(5 - 5 + 5*s) to k*s + y and give k.\nAnswer: -12835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88762926 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 154319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**17*c)**(-40)*((c\/c**(-6\/7))\/c)**(-2\/33))**(-2\/49) assuming c is positive.\nAnswer: c**(110888\/3773)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3110, -3096, -3074, -3044, -3006, -2960?\nAnswer: -2906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -99\/2*s**2 + 0*s**4 + 96 + 0*s + 5\/3*s**3 + 0*s**5 - 13\/6*s**6. Find the second derivative of i(t) wrt t.\nAnswer: -260*t**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.85 - 0.81. Which is the closest to -2\/7? (a) -4 (b) y (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2555 is divided by 1104?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270*j**4 + 9*j**3 + 2171*j**2?\nAnswer: 6480*j + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.84 + 2.840000692. Round v to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -35*u**3 - 78*u**2 + 4*u. Let q(o) = -o**3 - 2*o. Let t = 0 + -1. Let g(m) = t*s(m) - 2*q(m). What is the third derivative of g(z) wrt z?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -29 - (4 - (6 - 2)). Let l = o - -32. Solve 0*z - l = -x + z, 7 = x + z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1319*t + 60681. What is z(46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -10086 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 = -r, -l - 11*r + 6*r = -30. Let p(q) = -q**2 + 2*q - 2. Let x be p(3). Put 2, x, l in decreasing order.\nAnswer: l, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2 + 122693368*s + 1881707818897928 = 0.\nAnswer: -30673342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546891.911 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -218*q + 5001. Let j be k(22). Solve -4*v = j - 213 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*s**3 + 95047782*s**2 - 27882937464585*s - 16523255578800 = 0. Calculate s.\nAnswer: -16\/27, 586715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 49\/1060 (c) -0.1 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -648360232*h*i - 106*h + 998191 wrt i?\nAnswer: -648360232*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*m = -71, 5*z - 3*m + 166 = -59. Let w = z + 120. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2185 - 2182. Let h(y) = -6 + 3*y + 1 + 3. Give h(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s. Suppose -l = -0*l - 1. What is the units digit of 5 - (s\/(-1) - l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13257555 (base 8) to base 16\nAnswer: -2d5f6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-10))\/(n*n*n**(-33\/2)\/n)*(n**(11\/4)*n)\/(n**(-3\/35)\/n) assuming n is positive.\nAnswer: n**(4387\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m - 17*m - 62*m + 505*m)*((-4 + 0 + 5)*(-2*m**2 - m**2 - 4*m**2) - 4*m - 2*m**2 + 4*m).\nAnswer: -3753*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4908237?\nAnswer: 3, 1636079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*p**3 + 53*d*p**2 - d*p - 26*d - 2*p**3 + 13*p + 2 wrt p.\nAnswer: 6*d*p + 106*d - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285436 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2 + 1 = -5, 3*v - 22*r + 55 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 5. Let f be i(4). Let x = f - 6. Let n = 124 - 120. Solve -n*k + 7 = -x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7741*(-8 + 9 - 4)?\nAnswer: 3, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 14 + 146. Let n = i + 68. Solve 4*o + v + 12 = 0, 2*o + n*o = -3*v - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8686029, 8686041, 8686065, 8686107, 8686173, 8686269?\nAnswer: 8686401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 15 - 15 - 3 + 0*l - 3*l + 4*l + (1 - 2 - 5)*(-5*l + 3*l + l) as m + o*l and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 2*c**2 - 2*c + 2. Suppose 0*i - 2*i + 22 = 0. Let u = -16 + i. Let x(r) = r**2 + 5*r + 3. Let s be x(u). What is t(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f*h**3*z**3 - 99*f*h**3 - 2*f*h**2*z**3 + f*h*z**3 + f*h*z**2 + 4*h**2*z**2 - 3*z**3 wrt h?\nAnswer: 36*f*z**3 - 594*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 8)*(7885*v**2 - 7990*v**2 - 37 + 35).\nAnswer: -420*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 8*g)*(-6 + 39 - 1 + g).\nAnswer: -8*g**2 - 256*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 14*z**2 - 37*z + 71. Calculate b(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + 7.3. Let a = -7 + h. What is the closest to -1 in 0.1, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-12) - 22\/(-6). Suppose -h = t*h + 1200. Round h to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*o + 34*o + 45*o + 39*o + 13*o + 30*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34\/83 + 15\/166. What is the third biggest value in 0, w, -350?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 7*v**2 + 11*v - 22. Let n be f(8). Let j be n\/3*1*6. Let k(q) = 2*q**2 + 3*q - 5. Is k(j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255\/(-510) + (-5)\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1108961 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1612*v**2 - 3*v + 17913.\nAnswer: 3224*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 361\/49, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -39. Calculate the lowest common multiple of 498 and p.\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/10920 and 53\/8620.\nAnswer: 4706520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1980 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 2*b**5 + 0*b**2 + (-14574 + 14574 + 155*b**2)*(-3*b - 2*b + 4*b)*(-b**2 + 1 - 1).\nAnswer: 157*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 214*n - 435*n + 228*n - 3 - 2 to y + x*n and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 175\/30 - (-114)\/36. Solve -2*b + 2*l = 18, l - 360 = -u*b - 367 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*v = 7, -10 = 5*k + v - 1. Which is the closest to k? (a) 2\/69 (b) 2\/25 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29594673 is divided by 63.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1518678, -1518722, -1518762, -1518798, -1518830, -1518858, -1518882?\n\"Answer: 2*f**2 - 50*f - 1518630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r - 62. What is the smallest common multiple of 2 and (-10)\/30 + r\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161224 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1377) + (sqrt(1377) - (3 + -3*sqrt(1377)))) + 0)**2.\nAnswer: -9720*sqrt(17) + 1239624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 16189*k**2\/3 + 5396*k.\nAnswer: k*(k - 16188)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**3*y**3*z - 2*t**3*y*z - 17*t**3*z**3 - 6*t**2*y**3*z**3 - 10*t**2*y**2*z - t*y**2*z**3 + 2*y**2*z**3 wrt t.\nAnswer: 12*y**3*z - 12*y*z - 102*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 110*a**2 - 1405*a - 4518. What is s(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) - (sqrt(931) + ((sqrt(931) - (sqrt(931)*1 + sqrt(931) + sqrt(931))) + -3 + sqrt(931))**2).\nAnswer: -940 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2123 and 579?\nAnswer: 6369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjujjunttujtjjtjuuu. What is prob of picking 1 u and 1 t?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - ((-30)\/8 - 3\/12). Suppose i + h*x - 127 = 4*x, 3*i = 3*x + 399. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 334, 623, 1384, 2851, 5258?\n\"Answer: 39*o**3 + 2*o**2 + 10*o + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 2. Calculate q(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.115 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 4, m: 2, a: 1}. Give prob of sequence jjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -23517, -4, 3 in descending order.\nAnswer: 3, -4, -23517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 - 79. Let n(u) = 10*u**3 + 2*u - 3. Let m be n(2). Let j = m - y. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3741 (base 9) to base 2\nAnswer: 101011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*2 + 203)\/1. Suppose y = -z + 4*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/2)\/(0 - -1). Let p = -4 + 4. Let x = p + -0.1. Which is bigger: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 924 - 26793\/29. Let f = k + 17\/116. Let p(n) = 2*n**3 - n. Let y be p(1). Which is smaller: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5765, 251\/4 in ascending order.\nAnswer: -0.2, 251\/4, 5765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, -3, 44361, -1, 3 in decreasing order.\nAnswer: 44361, 3, 0, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**3*u**4 + 3*i**3*u**2 + 11*i**3*u - 4*i**3 - 2*i*u wrt u?\nAnswer: 120*i**3*u**2 + 6*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (37\/(-333)*1)\/((152\/(-6))\/(-2))\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 30. Let c be (-5*(-2 - p))\/(-1). Suppose -2*h = 3*h - c. What is h rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*y + 198 = -289*y. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25622 and 2228?\nAnswer: 51244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - k = t - 1, 2*k + 5*t + 30 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/60 - v**5\/12 + v**4\/8 - 2*v**3\/3 - 4*v**2. Does 14 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(-3)\/(-6) - -39 is divided by (1 - 7)*30\/(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:17 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 135 - ((-46 - (-21 - 2)) + 62)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 15, w: 3}. Give prob of sequence cww.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -36434 smaller than -36922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*d*r**4 - 2*a*d - 1237*a*r**4 + 111*a - 2*d + 11 with respect to r.\nAnswer: 12*a*d*r**3 - 4948*a*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 9:20 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - 0.4. Is w equal to 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 30 = 4*k - t, 2*k - t - 8 = 0. Suppose 491 = 2*g + 3*l, 0 = -l + 2 + 1. Suppose -5*x = 176 - g. Solve -5*q - 20 = -c, 5*q + 53 = k*c + x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 235 or -52736?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 38*l**3 + 3*l**2 + l. Let y be h(-1). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21749?\nAnswer: 7, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 447*y + 800*y + 171*y to the form v*y + h and give v.\nAnswer: 1418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.08781 times 0.02?\nAnswer: 0.6017562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6641*s**2 + 2988*s**2 + 2994*s**2 + 2240*s**2 as d*s + z*s**2 + r and give z.\nAnswer: 1581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5777058 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 445983704 to the power of 1\/2, to the nearest integer?\nAnswer: 21118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*c**3*f + 2*c**3 - 6*c**2*f + 931*c**2 - 587*c*f - 2*f - 15000 with respect to f.\nAnswer: 53*c**3 - 6*c**2 - 587*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35904571.\nAnswer: 307, 116953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/54)\/(77\/(-33))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*q + 18058 = 0, 0 = -h + 5*q + 17986 + 62. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -114, -252, -424, -618, -822, -1024, -1212?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w. Let i be 1\/2*(w + 0). Let o = i + 3. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18267\/10 + -1824. Find the common denominator of 19\/176 and z.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let a be (-4 + 2)*(-3)\/2. Let u be h(a). Suppose -27 - 12 = -u*v. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-1)*24\/20. Let p(y) = 0 + 3 - 5 + 6*y + y**2. Let f be p(h). Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or -71?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 12) + (4 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2357, -2434, -2513, -2594, -2677?\nAnswer: -2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 5*s**2 - 2*s**2)*(32*s + 13*s + 6*s)*(3 - 8 - 3)*(0 - s + 0).\nAnswer: -408*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5797 and 7161?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -q + 18, 4*q - 7*q + 2*b - 14 = 0. Let d = 1.1 - 0.8. What is the third smallest value in -0.4, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -6 in increasing order.\nAnswer: -16, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5812372.\nAnswer: 2, 1453093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/2, 25, -410154, 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.53521113 rounded to 3 dps?\nAnswer: -80.535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122623 rounded to 3 dps?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-402)*-802 + 4. Are s and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 - 1. Let r be (-2 - 802)\/(30\/(-105)). Let v(y) = 0 - r*y**2 - y**3 - 2 + 2810*y**2 + y. What is v(l) - 4*x(l)?\nAnswer: -5*l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/19077 and -103\/52?\nAnswer: 992004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = m - 3*i, -3 = m + m - 3*i. Suppose m*z - 10 = 5. Suppose -2*x - 3*k + 3 = -1, -2*k + 16 = 4*x. Solve -2*w = -x*w - 3*r - 27, 0 = -z*r - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949457.\nAnswer: 37, 67, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -299014 and -123.39?\nAnswer: 298890.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3790871216?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 5*x = 92. Is x not equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-1073*i**3 + 1073*i**3 + 3*i**4).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -23693 at least as big as -23696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7032.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -aff (base 16) to base 9\nAnswer: -3767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12069 is divided by 4013?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4\/1158783, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.3, 4\/1158783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5903 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38.04 - 38. Let v = g + -0.44. What is the second smallest value in -3, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/11 and -143\/3313620.\nAnswer: 36449820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*((-23)\/(-4) + -5) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -687 divided by -83782?\nAnswer: 687\/83782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 6*f - 3*f + 0*f to w + i*f and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1. Let w(v) = -v - 6. Let k(b) = -w(b) - 2*x(b). Let g be k(-6). Find the third derivative of -18*u - 8*u**g + 18*u - 5*u**6 wrt u.\nAnswer: -600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3093, 19007, 41107, 63207?\nAnswer: 85307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**5 - 10*z**4 - 85*z**3 + 350*z**2 - 460*z + 200 = 0. Calculate z.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 168 + -119306.66994\nAnswer: -119138.66994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1189 = -8*x + 1149. Let c(q) = q**3 + 5*q**2 - 4*q - 4. What is c(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 27. Let a(i) = 8*i + 27. What is the tens digit of a(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -283, 823, 2443, 4577, 7225?\n\"Answer: 257*z**2 + 335*z - 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-4)\/(-30)). What is the biggest value in 4, 1, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25001 and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -15. Calculate the remainder when 24 is divided by (3 - -10)*(-2)\/k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 7*n + 6. Let k(o) = 3*o**2 + 20*o + 18. Let f(h) = -17*j(h) + 6*k(h). Suppose 5 = 3*l - 4. Let r = l + -3. Give f(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 5, -2, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*k + 22, -j - 3*k - 10 = -0. Suppose b - 4*o - 3 = 0, -j*b - 3*b + 4*o = -31. Sort 1, b, -1 in decreasing order.\nAnswer: b, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990633.\nAnswer: 3, 7, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 27*z - 78. Let j be v(6). Suppose p - 35 = -k, 4*p + 116 = k + 3*k. Calculate the greatest common factor of k and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7968.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*u - 54 = 5*k, -u - 1 = 0. Let d = -0.7 + 0.7. What is the nearest to d in 3, k, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*p - 15 + 15)*(6 + 5 - 2).\nAnswer: -423*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*b**6 + 30*b**4 - 254*b**3 - 36*b**2 - b + 435.\nAnswer: 840*b**3 + 720*b - 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 20, -3 in descending order.\nAnswer: 32, 20, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f - 2. Let u(h) = 5*h - 6. Let t(x) = -31*x + 29. Let s(j) = -2*t(j) - 11*u(j). Let d(y) = -5*c(y) - s(y). Calculate d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, z: 3, a: 1, r: 4, s: 7}. What is prob of sequence zas?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711*z = -3693 + 44220 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:32 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 128*o**2 + 6*o + 13. Let b(d) = -d**3 + 125*d**2 - 7*d - 14. Determine -6*b(x) - 7*q(x).\nAnswer: -x**3 + 146*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 829 - 535. Let o = 80 - s. Is -215 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2214*y - 57558. What is k(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h**3 - 4*h + 3. Let k be a(2). Let j = k - 77. What is the greatest common divisor of j and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -8, -7*l + 11802 = -2*l + 3*b. Let c = -1578 + l. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 - f**2 + f - 1. Let w be y(1). Let u = 13 - 10. Differentiate -4 + 3 - u - 1 + w*q with respect to q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 + -123 + (4 - -1) + (11 - (5 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - 5 = 0. Solve 3*m = -10 - u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31230 (base 4) to base 5.\nAnswer: -12001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 558?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/4 - 5*r**3\/2 + 13*r**2 - 128*r. Is 14 a factor of k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggzgggzgga. What is prob of picking 1 z and 2 g?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -690?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1))\/(2\/(-4)). Let x(w) = -5*w - 3 + 6*w**2 + 4*w**2 - 3*w**2 - 5*w**2. Let j be x(-1). Solve -a*z = j*f + 3*z - 8, 5*z + 10 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 35 - 40 + 129 - 43.\nAnswer: -14*q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 256652 to the power of 1\/2, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0 + 12 = 0. Suppose g*j - 6 = 5*j. Let z = j + 4. Which is bigger: -1\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1417.6 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19189511, 19189507, 19189503, 19189499, 19189495, 19189491?\nAnswer: 19189487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10542 = -8*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 912*b - 52 = 910*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 1456*d**2 - 33884*d - 32424.\nAnswer: 4*(d - 386)*(d + 1)*(d + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 607*n + 337. Let y(a) = -403*a - 224. Let v(w) = 5*g(w) + 7*y(w). Differentiate v(s) with respect to s.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268998 rounded to the nearest 1000?\nAnswer: 2269000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*-3*2*sqrt(99))\/(-1*-2*sqrt(576)).\nAnswer: 4 + 15*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -71146 greater than -0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/270*(-39)\/65\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38224 (base 10) in base 7?\nAnswer: -216304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/5 - 6*x**2\/5 + 6*x\/5 - 2\/5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*t - 3 = -508*t + y, 4*y = 3*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354 + 7609900253.\nAnswer: 7609900607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 7:35 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**3\/3 - 5*z**2\/2 - z + 35. Determine r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 39 = -11. Determine p, given that 2*p**y - 31*p + p**4 + 36*p - p**2 - 2*p**4 - 5*p**3 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 6:59 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11)\/n)\/(n*n**1)*n**(-1\/3)\/n*n**6\/n)**(-5\/2) assuming n is positive.\nAnswer: n**(-70\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 974 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 10*z**2 + 12*z + 26. Let s be l(-9). Let a be ((-162)\/9 - -8)\/(s - 0). Solve 8*u - 10*u + a = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 63. What is the first derivative of 16 - 37*c**x + 96*c**2 - 96*c**2 wrt c?\nAnswer: -148*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (112\/280)\/(2\/360). Suppose 206*v + s = 212*v. What is the highest common divisor of v and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2291096372 to the nearest integer?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 4. Suppose -2*n + 24 = w*n. Suppose -n = -b - 3. Solve 7 - b = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n. Let d(y) = 2*y. Let h(m) = 6*d(m) + 5*l(m). Let q(f) = -1118*f + 370*f + 367*f + 382*f. Give h(t) + 2*q(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 18. Let x(r) = 44*r - 345. Let y be x(8). What is l(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 101*v**2 - 87*v + 671. What is the ten thousands digit of z(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 11) to base 3.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 - 7.83. Let i = 7.8 + t. Which is the closest to 1\/2? (a) 2 (b) i (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97\/(-194))\/(38*2\/16).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2145 - -2155. Let m(h) = -23*h + 19. Let g(b) = 11*b - 10. Let f(d) = 9*g(d) + 4*m(d). Is 3 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1007*m + 6045. Let g(d) be the second derivative of -d**3\/6 + 11*d**2\/2 + d. Calculate the lowest common multiple of i(6) and g(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 212\/95 in -0.038, -2\/45, -2?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47, -71, -95?\n\"Answer: -24*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20 - -5)*(-2)\/(-5). Calculate the common denominator of ((1185\/v)\/(-5))\/1 and 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 91080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.54 - 4. Let w = -1.1 - z. Let g = w - -2.94. Round g to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/8)\/1*1694*40\/140. Let o be (-50)\/(-4)*(-1 - -5). Suppose -m = -4*w + 2*m + o, 38 = 4*w + 3*m. Calculate the highest common factor of t and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 2*k - 2*k + 5 + 0*k. Let h be u(-4). Let w be (-3)\/6*(h + -1). Which is the second smallest value? (a) 1\/7 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 66*y - 5008. Let s be c(76). Solve -4*w + s = -m, 0 = -16*m + 13*m - 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/((-27)\/(-15)). Let d = -0.4 + -0.1. What is the third biggest value in h, d, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23006811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 336377.9 centuries?\nAnswer: 403653480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20942 - 264.35057.\nAnswer: 20677.64943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/5)\/(7728\/(-1840)))\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 231, 539, 847?\n\"Answer: 308*h - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3206367 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -1\/14871404 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Let z be -2 - (-5 - -3) - l. What is the second smallest value in 5, 1\/4, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 16. Let b be 1*13\/(13\/24). Let z be (b\/(-18))\/(10\/15). Sort g, 3, z in descending order.\nAnswer: g, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0425 + 3.0425. What is the closest to 0.21 in j, 0.5, 4, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1743986334 to the nearest integer?\nAnswer: 41761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -447672 divided by 6488\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962353 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 246 + -225. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.2, -0.3, -6, -1754?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ee75 (base 15) in base 2?\nAnswer: 1101111001101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*6\/45*3. Let j(z) be the second derivative of -1\/3*z**i + 0 - 1\/90*z**6 - 11\/120*z**5 - z - 4\/9*z**3 - 7\/24*z**4. Find y such that j(y) = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -97289\/6 in -0.068, 4, 1?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235966 is divided by 15730.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 147642870 to the nearest 1000000.\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -500112*s**3 + 13*s**2 + 8*s + 2371 wrt s.\nAnswer: -3000672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/(-8*45\/300).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b - 9*b - 8*b + 32*b - 5*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k)**(-6\/17) assuming k is positive.\nAnswer: k**(-9\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-7) - (144\/14 - 10). Let l(y) = 44*y + 42. Determine l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222201302 (base 4) to base 15\nAnswer: 3692e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*t + 0*t + 0*t)*(5 - 4 - 2)*(0 + 3 - 1).\nAnswer: -62*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 + 3)*(-b - 3*b + 0*b).\nAnswer: -68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 154. Suppose t = -t + v. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*1*4. Let c be o\/(-6)*1*6. What is the nearest to c in 1\/8, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-4)*267\/1157\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109186*d = -109196*d - 6*z + 10*z + 44, 0 = -z - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aykyksbbyby. What is prob of sequence asbk?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77*45\/(-660)*(8\/140)\/((-1)\/(-60))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 9:27 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 0. Let g = 7.3 + -0.3. Let f = -9 + g. Which is the biggest value? (a) u (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 f, and 1 o when four letters picked without replacement from {f: 3, p: 1, n: 1, o: 3, b: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21b - 2?\nAnswer: -21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 5*b + 4. Let n(w) = -5*w**2 + 10*w - 9. What is -4*n(h) - 9*o(h)?\nAnswer: 2*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6614, -10110, -26834, -43558?\nAnswer: -60282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -342, -532, -722?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**5\/35 - 271*j**4\/7 + 15776*j**3 - 47096*j**2 - 2218*j. Solve y(k) = 0.\nAnswer: 1, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1756\/1687 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 825 (base 13) to base 11\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42, -49, -56, -63?\n\"Answer: -7*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4118.\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnqqbnfnbe. What is prob of picking 2 n and 1 f?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 9*j - 13. Let w(f) = -4*f**2 - 10*f + 12. Let z(p) = -3*r(p) - 2*w(p). Let q = -7 - -36. Calculate the remainder when q is divided by z(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fop when three letters picked without replacement from {o: 1, p: 3, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 1. Let f(y) = -y. Let v(k) = 3*f(k) + 2*p(k). Suppose 0 = s + s - 6. Suppose -i = -s*i. Give v(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + d + d - 14*d + (2*d + d - d)*(2 + 2 - 8) as c + m*d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 4*l + 6*l)*(40*l - 68*l - l) - l**2 + 3*l - 3*l as m*l + f*l**2 + p and give f.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v + 36. Let c = -7 - v. Solve -c = 4*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*j - 20 = 0, -5*w + 17 = 3*j - 6. Let s(f) = 5*f + 2*f + 8314*f**2 + 0*f + w. Let k be s(-4). What is k rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 143.5 and 5.\nAnswer: 717.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 9*i**2 - 18*i - 42. Let b be c(11). Let k = 116 + b. What is the remainder when k is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -51*t + 154. Let y be j(3). Solve -5*a + 4 = -y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30*(-86)\/16512)\/(((-1)\/(-1))\/12)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 4, 36, 88, 160, 252, 364?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1154 - 1153. Let m(i) be the first derivative of -i**5\/30 - i**3\/6 + 5*i**2 + 3. Let z(y) be the second derivative of m(y). Give z(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1\/6)*m*m**(-2\/9))\/((m**(-10)*m)\/m*m**(5\/7)) assuming m is positive.\nAnswer: m**(1541\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 728 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3905 - -3940. What is the highest common divisor of 91 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 104181893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62982, -62984, -62986, -62988?\nAnswer: -62990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -37.949.\nAnswer: 60.7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -373?\nAnswer: 2\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 12\/(-8))*556. Let g = -133 + v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53685182 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.448 - 1.248. Which is the biggest value? (a) -1 (b) 0.17 (c) -5 (d) -4 (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132603 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 24168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 78*o + 168*o - 47*o - 74*o in the form v + y*o and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 825.0999 millilitres?\nAnswer: 0.8250999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 + 4*f**2\/11 - 50*f\/11 - 100\/11.\nAnswer: 2*(f - 5)*(f + 2)*(f + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456.5397 decades to millennia.\nAnswer: 4.565397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z = -45. Let u be (z + 0\/(-1))\/1. Suppose 0 = 4*l - l + 2*g - u, -2*l + 6 = 4*g. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1196, 4, -5109.\nAnswer: -5109, 4, 1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*(l*((l**(-1\/8)*l)\/l)\/l)\/l*l)\/(l**(-1\/2)\/l))\/(((l\/l**1)\/l*l)\/l)**(-6\/29))**43)**(-8\/7) assuming l is positive.\nAnswer: l**(-4515\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9, -2, 0, 0.439?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137188008 and 152431120?\nAnswer: 1371880080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = -68. Suppose 5*a - 4*y - 110 = 426, -4*a - 5*y + 396 = 0. Calculate the remainder when a is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3394418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -29 + 2 + -17\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i + 8*i**2 - 1 + 58*i**2 - 69*i**2 in the form j + m*i + t*i**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 + 23. Is (885\/(-15))\/(2 - x\/(-47)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 151. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 2\/13 (c) -2 (d) -0.1 (e) 204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmzomoyogzmmzzo. Give prob of sequence zwgz.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7020274967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83553 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 208*p**3*y**2 + p**3 - 523*p - 3*y**4 wrt y.\nAnswer: 416*p**3*y - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 4*q)*(-1 + q + 1)*(-59 - 48 + 20).\nAnswer: -87*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 o, and 2 r when four letters picked without replacement from mqmxgqrgogrgxxom.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - g)*(75847 - 75847 - 515*g)*(1 + 0 + 1)*(-2*g + 6*g - g).\nAnswer: 3090*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, 90, -1, 0, -3, 4\/3 in increasing order.\nAnswer: -14, -3, -1, 0, 4\/3, 5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32804 is divided by 3293?\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**3 + 6. Let s(x) = -4*x**3 - 6. Let i(u) = 5*j(u) + 4*s(u). What is the first derivative of i(o) wrt o?\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 0*m**2 - 3*m + 1\/4*m**4 + 0*m**3 + 0. Let r(s) = s. Determine u(r(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4857*u + 145630. Determine b(30).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 5:32 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 84*c + 703. Give m(31).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*t + 2*t. Suppose 0 = 3*p + p - t. Let z = 14 - p. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -3*c**5\/4 - c**3\/3 - c**2\/2 + c. Let l be n(-1). What are the prime factors of ((-28)\/l)\/((-2)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6ea70 (base 15) to base 7\nAnswer: -3001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(-4) + ((-5)\/4 - -1). Let n be (-9)\/(-3 - ((-15)\/2 - m)). Suppose 0 = -2*x + 4*c + 8, -10 = 5*x - 2*c - 6. Sort n, x, 3 in decreasing order.\nAnswer: 3, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 11*c - 246 - 114*c + 246 to a*c + v + z*c**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 3:30 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i**2 - 6*i - 5. Let j(u) = -23*u**2 + 17*u + 14. Let b be (-60)\/8*16\/20. Give b*j(k) - 17*s(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (31 - (17 + -11 + (-5 - 11))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -37116, 11, 9\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -10 (c) -0.06 (d) 4\/11 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265599 is divided by 3280.\nAnswer: 3199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 + 8. Let a(c) = -5*c**2. Calculate a(m(q)).\nAnswer: -180*q**4 - 480*q**2 - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 3. Let u be w(3). Let n(r) = -r**2 - 10*r - 10. Let v be n(-6). Let y be 116\/v - 2\/7. Solve u = m + m - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1871 + -1861. Calculate the remainder when 826 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 2*i**2 - 8*i + 16. Let d be u(3). Let t(p) = -19*p**2 - 2*p - 1. Let w be t(-1). Which is greater: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/5 + 1231*d**2\/5 - 378224*d\/5 - 379456\/5 = 0 for d.\nAnswer: -1, 616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:07 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Let a(w) = -5*w**2 + 2*w + 3. Let m(d) = 15*d**2 - 5*d - 10. Let r(t) = j*m(t) - 10*a(t). What is the second derivative of r(c) wrt c?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 11*r**2 + 21*r - 31. Let y be k(9). Let i(f) = -8*f**2 - 4*f + 4. Let h(s) = 9*s**2 + 5*s - 5. Calculate y*h(d) - 5*i(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -59. Let n be -2*(-1)\/(-2)*0. Is n != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 66. Suppose 4*u + 9 = l. Let w(d) = -d + 1. What is w(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005729.\nAnswer: 3, 523, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14709448*u**3 + u**2*z - 7276499*z wrt u?\nAnswer: -44128344*u**2 + 2*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z = -25. Suppose -f - m - 92 = -z*f, 2*m - 58 = -3*f. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 7340 - 7301 + 2*w**2 - 46*w**3 + 0*w**2 in the form y*w**2 + m*w**3 + z*w + b and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 304*z - 2472. Calculate r(7).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59171.11ml to litres.\nAnswer: 59.17111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 - 78*q + 18. Calculate p(15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*y + 35*y**2 - 2*y + 2*y**3 + 25*y - 2 + 3*y**4 in the form w + d*y**4 + p*y + j*y**2 + o*y**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 10) to base 15\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41\/95 + 12\/19. Which is smaller: d or 7\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027 > 91262\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 305817.3 weeks?\nAnswer: 184958303040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 20*k + 9. What are the prime factors of o(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*t + 8 = 0, -5*h - 3*t + 2*t + 14 = 0. Is 19 a factor of 213\/h - -4 - -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {h: 8, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (11 - (-16 + 8 - -33)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5068*i + 44550 = 2593*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 5*f**2 + 7*f + 4. Let z be l(6). Suppose z = 3*y - y. What is m in -2*m**2 - m**4 - m**2 - 2 - 6*m**2 + y*m**3 + 7*m = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 - 1127 = 71*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v. Let b be t(1). Let r be b*8\/(-12) + 136. What is the units digit of r\/10 + (-12)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101010101001101100000 (base 2) in base 9?\nAnswer: 24321813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5 = p, 77 = 22*p - 15*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/150 - y**3\/15 + 7*y**2\/2 + 6*y. Let g(n) be the first derivative of c(n). Factor g(d).\nAnswer: 2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 561*v - 1 + 19 - 58*v + v**2 to the form g*v**2 + z*v + b and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.1. Let c be 142\/(-168) - 38\/(-399). What is the third smallest value in l, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 17*x**2 - 47*x + 7. What is h(-20)?\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + -6 + (0 + 0 - -22)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-42)*(-7)\/1)\/((-4)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from eef.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 25\/2*d**4 + 12*d**2 - 4 - 16\/5*d - 20*d**3. Suppose z(y) = 0. What is y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmoooioommo. Give prob of sequence om.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 15\/44, 5, -9?\nAnswer: 15\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 30221110?\nAnswer: -30221123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. What is the second derivative of -3*d**4 + 61*d - 28*d + 12*d**5 + r*d**4 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5431 divided by -7.\nAnswer: 5431\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) 2 (c) -4\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 507 - 405. Suppose -3*q = -4*a - 268, v = 8*q - 7*q + 5*a. Calculate the greatest common factor of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -37*g**3 + 3*g - 5. Let v(b) = -b + 1. Determine -3*v(c) - y(c).\nAnswer: 37*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o\/(o*(o\/(o*o*o**(3\/28)))\/o))*o*o**0)\/(o*o**(-3\/5)*o*o**(-1\/19)) assuming o is positive.\nAnswer: o**(-9189\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028 times -98?\nAnswer: -2.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/1*((-82)\/6 - -14)\/(60\/(-48)). Let d be (-1 - 0)*(-1)\/(-17). Put b, d, -1, 2\/3 in increasing order.\nAnswer: -1, d, 2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(12\/(-5) - (-464)\/(-232))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(8\/7)\/h**(2\/23))\/(h**(3\/7))**30)**40 assuming h is positive.\nAnswer: h**(-76000\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2894 is divided by 67?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/20*(-51 + 75168\/1458)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2\/11*i**2 - 6\/11*i + 56\/11 = 0.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 193*j**3 + 20353*j + 2 + 3*j**3 + 0 - 20353*j as h + v*j + d*j**3 + q*j**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 5567.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -i + 217, -81*i - j - 1076 = -86*i. Which is smaller: 213 or i?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3\/6 + 3*l**2\/2 + 2*l + 2. Let x(s) be the first derivative of k(s). Differentiate x(d) with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27381784 rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -42 - -9192354.111\nAnswer: 9192312.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-5 - -3))*-1. Suppose -z*h - 94 = -5*a, -2*h = 2*a - 27 - 17. Calculate the highest common divisor of a and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1734\/24 - (1\/(-4))\/(-1). Calculate the highest common factor of 48 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 6*w + 4. Let m be i(-4). Suppose 0*u = 2*u - m. Is 4\/u + (-1757)\/(-77) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2261*n - 4340 + 4340 to the form x*n + i and give x.\nAnswer: 2261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4141 - -3?\nAnswer: -4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -31726888.\nAnswer: -3\/7931722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3645 and 1\/3940245.\nAnswer: 3940245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13747713 divided by -291\nAnswer: -47243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147 (base 12) in base 8?\nAnswer: -7107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 - 4*m + 36. Let i be z(7). What is the highest common divisor of i and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 0*o - 45 = 0. What is the greatest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - 2550 + 234 - 2064. What is the remainder when 18394 is divided by z?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*b = 57716 + 120924. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2562?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1101*h**5 - 472265*h**4 - 72*h**2 + 2*h + 329212 wrt h.\nAnswer: -66060*h**2 - 11334360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 14. Let h = k + -20.4. Which is the second smallest value? (a) h (b) -0.16 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727916?\nAnswer: 2, 7, 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*n**4 - 5*b**2*n**2 + 6*b**2 + 3*n**4 - n**3 wrt n.\nAnswer: 48*b**2*n + 72*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617 = -4*f + 2533. Let d(i) = -235*i - 241*i + f*i - 11. Let u(g) = g - 4. Suppose z = 4 - 1. What is z*d(m) - 8*u(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2*i + 5\/3*i**3 + 0*i**2 + 1. Is 14 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -9*x - 420. Suppose 14*h - 11*h = x. What is the smallest common multiple of h and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*l**3 + 47*l**3 - 44*l**3 + (-l**2 - 4*l**2 + 4*l**2)*(-3*l - 4 + 4)*(4 - 6 + 0).\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 + 2*v + 9. Let s be q(4). Let y = s - -55. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 0*i + i)*(i + 5*i - i)*(1 - 14 + 0).\nAnswer: 195*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5818*z + 339*z - 12229*z - 30888*z.\nAnswer: -36960*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**9\/3024 - d**5\/60 + d**3\/2 - 2*d**2. Let h(p) be the first derivative of o(p). Find the second derivative of h(c) wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*d = 196*d + 4. Suppose d*q - 62*y = -57*y + 18, -3*q + 2*y = -16. Let v(g) = 4*g + 5. Calculate v(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)\/m)\/(m**18*m) assuming m is positive.\nAnswer: m**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 487 - 256. Let c = f - 2543\/11. Sort c, -2, 0 in ascending order.\nAnswer: -2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*6\/(-1) - 2. What is the greatest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 u when three letters picked without replacement from {u: 7, z: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -163803839 rounded to the nearest 100000?\nAnswer: -163800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -93053 (base 10) to base 9\nAnswer: -151572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 144, 312, 546, 846?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 536\/(-28) - (-2 - 0). Let z = -17 - j. Which is the smallest value? (a) 0 (b) z (c) -2\/11 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4002\/3828*(-6)\/(-23)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18756*z - 17 + 24 - 7.\nAnswer: -18756*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/81317?\nAnswer: -1\/81317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-4311)\/315)\/(30\/(-100))\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968458399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*y + 18 = 0, 4*o = o + 3*y - 3. Let u(b) = -28 - o*b + 85 - 30 - 10*b - 34. Let l(v) = -23*v - 13. Give 6*l(k) - 11*u(k).\nAnswer: -6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 11\/13, -1\/114, 3?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 53*x + 2. Let w(d) = 4*d**2 - 2. Calculate j(i) + w(i).\nAnswer: 3*i**2 + 53*i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 356655.9mg?\nAnswer: 356655900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, -14\/5, 3\/5, 1 in ascending order.\nAnswer: -23, -4, -14\/5, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cycbookcc. What is prob of picking 1 k, 1 o, 1 y, and 1 b?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 42*k - 95 - 36*k + 120*k - 40*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 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: Let p = -6433.731 - -1.731. Let o = p - -6472.027. Let c = o - 40. Round c to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*12\/126*(-7)\/(-2). Let o(r) = -3*r**2 + 5. Let h be o(-2). Put p, -1, 0, h in descending order.\nAnswer: p, 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6243598 to the power of 1\/2, to the nearest integer?\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -108*p**5 - 20536*p**4 + 189524*p**3 - 143408*p**2 - 25472*p = 0.\nAnswer: -199, -4\/27, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -180835, -180851, -180873, -180895, -180911, -180915?\n\"Answer: a**3 - 9*a**2 + 4*a - 180831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -889 + 876. Put t, -5, 8 in decreasing order.\nAnswer: 8, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1278 or -1133?\nAnswer: -1278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m - 12. Let j(n) = 4*n - 5. Let d(q) = 5*h(q) - 12*j(q). Let s(g) = 72*g**2. Calculate s(d(a)).\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3 - 1377*x**2 - 474720*x - 473344 = 0. What is x?\nAnswer: -688, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-221)*39\/(-44)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 9, 2, 7, 30?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56655, -56734, -56865, -57048, -57283?\nAnswer: -57570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(-2*sqrt(72)))\/(sqrt(100)*-2 + sqrt(100) + sqrt(36)\/(sqrt(9)*-2)).\nAnswer: sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8.1. Round q to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 + -2242356?\nAnswer: -2242589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5780, 23177, 52156, 92705, 144812?\nAnswer: 208465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1069689996 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47370 - 0.3.\nAnswer: -47370.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/6464 and -1\/60.\nAnswer: 96960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*o + 11. Let n be 93\/(-248) + o\/(-8). Let k(d) = 20*d**2 - 9*d - 5. Let u(w) = 5*w**2 - 2*w - 1. Let c(q) = 2*k(q) - 9*u(q). Calculate c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3526 (b) -8\/7 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187323 is divided by 655.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 8:50 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 4 - 21 + 7. Let y be z(0). Calculate the remainder when 17 is divided by -1 - (-1 - y\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96.0106 - -96. Let k = x - -0.01. What is k rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -6*p - 6. Let c be (8\/250)\/(-5 - (-54)\/p). Suppose 0 = -f + r - 4*r + 10, -4*f + 3*r - 5 = 0. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 12*p - 2. Let z be q(-6). Let x = -68 + z. Let u(a) = 3*a**x - 285*a + 285*a. Let t(h) = -5*h**2. Give u(t(d)).\nAnswer: 75*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27944610 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 57*1 - (-13)\/39. Is 57 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/1375 and 7\/6550.\nAnswer: 360250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {h: 2, f: 2, m: 1, s: 1, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + q)*(15 - 8 + 14) - 3*q + 2*q - 2*q + 2*q - 2*q - 2*q + (0 - q + 0)*(5 - 4 + 0) + 0*q + 4*q - 2*q - 2*q - q + q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*n + 1172, -4*y + 1 + 3 = 0. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -28, -58, -100, -154, -220, -298?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1577 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 393728?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 3 (c) -2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.6 - 14.578. What is the closest to 0 in 1\/4, f, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166753, -2, -4.\nAnswer: -4, -2, 166753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/30 - 8*q**5\/15 - 3*q**4\/2 + 12*q**3 + 300*q**2. Solve p(g) = 0.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -99*f**4 - 43. Let r(a) = a**4 + 1. Let h(k) = -4*r(k) + t(k). What is the derivative of h(c) wrt c?\nAnswer: -412*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/7 - 99278*b\/7 - 4769952\/7 = 0.\nAnswer: -48, 49687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11070 by 2.\nAnswer: 5535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (17 + -7 + -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6*(-6)\/8)\/((-54)\/108). Let m(k) = 9*k + 6*k - 25*k + b*k. Determine m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3)\/m*m\/(m**(2\/3)*m))**(4\/9))**19 assuming m is positive.\nAnswer: m**(-304\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2164 - -2256. Suppose -64 = -4*u + 176. Let c = q - u. What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*y + 7, 4*q + 4*y + 9 = -3. Let w = -1 - -6. Let a(s) = -w*s + 0 + 0. Give a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n**4 + 1521*n**3 + 1520*n**3 + 1515*n**3 - 105*n**2 - 144*n - 4574*n**3 + 3*n**4 - 60 = 0.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f - 5. Let n(v) = -6*v**2 + 6*v + 26. Suppose 0 = 18*d - 122 - 76. Calculate d*m(o) + 2*n(o).\nAnswer: -o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**4\/4 + 4*k**3 - 13*k**2. Let y be p(-8). Let d = 149 - y. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+4169.5536455311\nAnswer: 4169.4936455311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 18 + 61 = 4*o, -3*o + 120 = 4*v. Let h = v - 52. Let x = -18 - h. Calculate the smallest common multiple of 5 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c + -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = u + 3*h - 5*h, -3*u = -2*h - 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000462 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 86317, -4, -3 in increasing order.\nAnswer: -4, -3, 6, 86317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 0, 1125, -4 in ascending order.\nAnswer: -5, -4, 0, 1, 1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6717 minus -0.4028?\nAnswer: 6717.4028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 432*h**2 + 1 + 0 - 6.\nAnswer: 432*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -34. Let a be 0 + (2 - o) - -3 - -3. Solve a*w - 8 = -m + 14, -4*w = -4*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -31985*m - 8 + 338101*m + 409227*m - 148675*m. Suppose -4*r + 42 = -3*u + 8*u, -2*r = -6. Let g be f(u). Round g to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.3. Let a = l + 15.7. Let t = a - 16.000018. Round t to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/392670 and 11\/5780.\nAnswer: 226963260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -13*g - 8*g - 9*g. Does 15 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1371 divide 739607485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 272 = -3*j. What is the greatest common divisor of 50 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrruz. Give prob of sequence ur.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.07, -0.1, 6.7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-9)\/24 - 429\/(-540). Let b = k - 229\/90. Calculate the common denominator of b and -57\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/2)\/(-2) + 7. Suppose 4*m - 3*t + 2 = 7, -4 = -z*m + 4*t. Solve -r - 4*f - 18 = r, 6 = m*r - 2*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.08 (b) 0.1 (c) 0.07 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkxkkkkekkkllle. Give prob of sequence le.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11167190 is divided by 446669?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 232615927 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-21)\/(-6))*-4*1. Suppose -i*u - 12*p + 8*p = 12, -u = -5*p - 22. Suppose 4\/19 - 2\/19*v**3 - 10\/19*v + 8\/19*v**u = 0. What is v?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*b**3 - 537*b**2?\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42177 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-seven halves of a millimeter?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 280*g**3 + 6 - 92*g**3 - 89*g**3 + 134*g - 103*g**3 - 7 as k + y*g + t*g**2 + i*g**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = 3*z + 17, 4*i + 14 = -2*z. Let d(v) = -v**3 - 4*v**2 + 5*v + 5. Let h be d(-5). Solve -z*f = -h*f - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 777401608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 420334141203 - 3?\nAnswer: 420334141200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(-2*sqrt(1700)*-4 + 1 - (-2 + sqrt(1700))*-2*-3).\nAnswer: -80*sqrt(17) - 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*r = -40, -5*n - 4*r = -106 + 39. Let f(y) = 3*y - 5. Let m(g) = -8*g + 14. What is n*f(a) + 4*m(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8983 and 2073?\nAnswer: 26949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1530 and 1340610.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 2*x**4 - 2*x**4 + 4*x**5 + 0*x**4 + 0*x**4 + (-2*x**4 - x**4 + 5*x**4)*(x + 2 - 2) - 4*x**5 + 0*x**5 + 2*x**5.\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -78. Calculate the lowest common multiple of -4*((-15)\/6 - 0) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.78 + -0.02. Let b = w - -0.4. Let q = -180.6 - -181. What is the nearest to 1 in b, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 12, 3*g - d - 4*d = 339. Solve 126*w = g*w, -2*a + 3*w = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 524*v**2 - 890*v - 1. List the prime factors of w(-3).\nAnswer: 5, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a - 2*d, 4*a - 3*d = -7*d - 16. Let t(o) = 95*o**2 - 5*o + 1. Let i be t(a). Calculate the highest common divisor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736)*-1 + -2 - sqrt(2736))**2.\nAnswer: 96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 4. Suppose -2*k - 21 = -5*i, k + 3 = -0*k. Let r be o(i). Suppose 0*s + s = r. Which is the second biggest value? (a) s (b) -5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56924 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22280 divided by 2?\nAnswer: 11140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -42848 divided by 4\nAnswer: -10712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 4634, 1, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356733.\nAnswer: 3, 13, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63703200 by -5280.\nAnswer: -12065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 9. Let u be 8\/b - 12\/(-5). Factor 3*v**u - 42*v + 42*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 13*p**2 - 30*p - 10. Determine m(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1473657, 2947317, 4420989, 5894679, 7368393, 8842137, 10315917?\n\"Answer: a**3 + 1473653*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22353131*r**3 - 7300*r**2 + 12955*r?\nAnswer: -134118786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 669, 1866, 3839, 6570, 10041, 14234, 19131, 24714?\n\"Answer: -3*g**3 + 406*g**2 + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3244 - 211?\nAnswer: 3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:47 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1262*t - 6*o - 440 = -1267*t + 9*o, 2 - 146 = -8*t + 4*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 + -77 - 108 - (62 - -2 - -1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 343577537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*i. Suppose -2*z - 83 = -5*j - 229, z + i*j = 95. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2))**(-2\/27)\/(o**(-1\/10)*o*o**0))**(6\/17) assuming o is positive.\nAnswer: o**(-233\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + -2 - -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1539 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-5))\/(1 - -2). Suppose a = -5*g + 21 + 19. Let b = 16 + 32. Calculate the smallest common multiple of g and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, f: 7}. Give prob of picking 4 f.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121002021 - 1221010?\nAnswer: -200000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 13*f**2 + 17*f - 17. Let a be s(-10). Let j = -1239\/11 + a. What is o in 4\/11*o**3 - 6\/11*o**4 - 6\/11*o + 2\/11*o**5 + 2\/11 + j*o**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/15)\/x)\/(x\/(x*x\/(x*x\/(x\/x**(-2\/11))*x))))\/(x**0)**(-10\/11) assuming x is positive.\nAnswer: x**(-322\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -12*r - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157029 is divided by 22430.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 985.631 and 7.\nAnswer: 992.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 27*v - 2 = 0. Suppose 3*l - 5*p = -44, -24 = v*l + 3*l + 4*p. Let y be 2\/l*8\/4. Which is greater: y or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-392.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/(-9))\/(1 - -2))\/((-10)\/(-150)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 685. Let o = y + 630.999527. Round o to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3003010 - 240?\nAnswer: 3002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**2 + 32*y + 12. Let w be 3 - (11 - (-6 + 10)). Let b be d(w). Put 5, b, 21 in descending order.\nAnswer: 21, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266478 and 138?\nAnswer: 266478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65520 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -550 - -568. What is the highest common divisor of w and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 270.1\nAnswer: -81.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**5 - z**3 + 452*z**2 + 2*z - 543 wrt z?\nAnswer: 80*z**3 - 6*z + 904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 8*t - 1080. Calculate the lowest common multiple of t and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -60*a**2. Let j(u) = 543*u**2. What is m(j(k))?\nAnswer: -17690940*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/120 - 2*j**5\/15 - 7*j**4\/24 + j**3 + 5*j**2. What is c(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146777.7 rounded to the nearest 10000?\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*h - w + 11, 0 = -5*h - w + 21. Suppose h = p - 0*p. Solve 0 = -x + p*x + 4*m + 4, -x = 4*m + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 5*a**2 + 2*a - 6. Suppose -10 = -2*l, z = -0*z + 2*l - 5. Let q be r(z). Suppose q*u = 5*u - 57. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 8. Let q(f) be the first derivative of f**3\/3 - 9*f**2\/2 - 4*f + 5. Let a be q(10). Let l be n(a). What is the nearest to -0.2 in 4, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 34 = 3*w + 14, k + w = 8. Suppose 0 = -2*o + k*o - 10. Sort o, -1, 0.\nAnswer: -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-243)\/(-162))\/((-6)\/(-16)). Put -11, -1, x, -3, 2 in ascending order.\nAnswer: -11, -3, -1, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103 and 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 574902 and 14819696.\nAnswer: 133377264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*v - 710*v - 426 = -69 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1159*v + 17893 + 64396 for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 + 75. Which is smaller: 1\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + 8. Is y less than or equal to 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -354, -798, -1420, -2220, -3198?\n\"Answer: -89*s**2 + s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Suppose 4*n + 3*y - 1 = 0, x*y + 2 = 2*y. Let r = n - 0. What is the remainder when 2 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*50\/(-121200)*176\/(-550)*10\/4.\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -121, 3, -1, 89, 123, 5 in ascending order.\nAnswer: -121, -1, 3, 5, 89, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19\/(-77) + 135\/315 - (-77940)\/33.\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. What is the common denominator of (g\/(-10))\/((-36)\/(-1410)) and -46\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24136, -48130, -72124, -96118, -120112, -144106?\nAnswer: -168100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 8*a**2 - 9*a - 4. Let v = -30 - -21. Let o be k(v). Does 28 divide (-80)\/o*3*(-76)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205 + 0*v - 68 + 93 - v - v.\nAnswer: -2*v - 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34894669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.5303 tonnes in nanograms?\nAnswer: 556530300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-4) - -3 - (-260)\/(-52).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-192)\/60 + 6\/5 + -1. Suppose q = -2*j + 7, 5*q - 4*j - j = -10. What is the least common multiple of q and (-2 + -1)\/((-3)\/(-9)*f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1368 and 40\/513.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 12*i + 18. Calculate f(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/1035000 and -11\/31050.\nAnswer: 3105000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*z + z**2 - 467*z + 161*z - 3*z**2 + 150*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-6))\/((-4)\/(-84)). Find the common denominator of (b\/(-462))\/(1\/(-39)) and -103\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -7 + -6 + -1)\/(22 - 4000\/180).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:57 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 337*p**4\/12 - 93*p**2 - 36*p - 4. Differentiate a(x) wrt x.\nAnswer: 674*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -23*h**3 - 7*h**2 - 7*h + 7. Let u(o) = 2*o**2 - 14*o + 19. Let s be u(6). Let n(j) = -11*j**3 - 3*j**2 - 3*j + 3. Give s*n(v) - 3*w(v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4, 1.5, -5, -4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-15))\/(1\/6). Let b be (-3)\/(0 - o\/(-8)). Solve b + 12 = -2*v + 5*n, v + 10 = 2*n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197971 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.009569 and -103?\nAnswer: -0.985607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2264314998?\nAnswer: 2, 3, 11, 61, 173, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 2:23 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-9)\/(360\/(-656))*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 0*g + 2*g**2 + (2*g**2 + g - g)*(3 + 1 - 1) in the form c*g + a + j*g**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378 is divided by 1337?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 397047, 9, 39 in increasing order.\nAnswer: 9, 39, 397047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 108*l**2 + 769*l + 35944. Give x(-112).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -120*r - 129*r = -96*r + 14535 for r.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10526 divided by -277\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uds when three letters picked without replacement from suuudssdvvdbebb?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b98845 + -1b?\nAnswer: -b98864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 541623.1 centuries in months?\nAnswer: 649947720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -71 + 62. Suppose u + 453 = 5*r, -8*r + 4*r - x*u + 370 = 0. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12 - 416*d**4 - 396*d**4 + 2*d - 165 - 2*d wrt d?\nAnswer: -3248*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 10 in decreasing order.\nAnswer: 10, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 7 = -3*c. Is -6\/5 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74741937 is divided by 2669354?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:32 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -8, 19 in ascending order.\nAnswer: -61, -8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 0 - (10 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 5*c - 4. Suppose -4*r - 14 = 10. Let g be l(r). Let v(p) = p - g - 2 + 4. Let x(s) = -3*s**2. Determine x(v(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*k + 678 + 342. What is the remainder when k is divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -7*m + 2*m + 12, 163*u - 60*u = m - 312 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k. Let x be d(1). Let i(o) = 4*o + x - 3*o - 2*o. Suppose 0*h - g - 4 = h, -4*h - 16 = -2*g. Let a(y) = -3*y + 5. What is h*a(c) + 11*i(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 5.8. Let h = -51\/2 - -22. Let r be ((-2)\/(-5))\/((-9)\/(-5)). Put i, h, r in ascending order.\nAnswer: h, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -745, -976, -1183, -1354, -1477, -1540?\n\"Answer: 2*p**3 - 245*p - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**2 + 9*v - 10. Suppose -32 = -5*i - 3*i. Let r(g) = -15*g**2 + 18*g - 21. Let c(w) = i*r(w) - 9*b(w). Let c(p) = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 13557\nAnswer: 67785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - 2*o + 4*o)*(238*o - 2818*o - 2558*o - 423*o + 527*o) to l*o + a + r*o**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -0.827213.\nAnswer: 4.172787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4105 times 29.6?\nAnswer: -12.1508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 8252704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9285.147 litres to millilitres.\nAnswer: 9285147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8ab + 499?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -3 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6700)\/(-225))\/67*2\/(64\/2)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 12. Suppose x = -4*s - 4*x - 12, 2*s - 12 = m*x. Solve -g + s*h = -7, -h = -g + 3*h + 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/9 and 1\/4 + 1014\/24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(18\/(-4029)) + -5. Let s = c + 2248. Does 50 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*f + 384 = 7*z - 4*z, 20*f - 16*f - 5*z + 2*z = 26 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1648 and 124?\nAnswer: -204352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(51) + sqrt(51)*1)*-4 - sqrt(51))*5)\/(sqrt(48)*-1 - sqrt(12)\/(sqrt(16)\/sqrt(4))))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1610 - 860. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v + 16. Let m(p) be the first derivative of p**2 + 5*p - 15. Determine -2*j(f) + 7*m(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7373*f**2 - f - 46067 wrt f.\nAnswer: -14746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 229188256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2. Let a(i) = -2*i**2 + i - 1. Let o(g) = 1096*g**2 - 822*g + 822. Let v(b) = -822*a(b) - o(b). Give c(v(x)).\nAnswer: 600608*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 7*y**2 - y - 3. Let d be o(3). Suppose -d*p - 12 = 18. Let v = 41 + p. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 59325421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56462148 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 35*p - p - 32*p to the form o*p + z and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 2*k = 25, 0 = -31*u + 32*u - k + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 74, 75, 76?\n\"Answer: n + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-8) - 6) + 7. Factor -4\/3 - 2\/3*m**5 - 28\/3*m**3 - 32\/3*m**h - 6*m - 4*m**4.\nAnswer: -2*(m + 1)**4*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 12 = 2*c + 2*c, 0 = c - 3. Solve -u + v*u = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 1\/4 (b) 14495 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/9 - 52\/(-234)) + -5. What is the least common multiple of 60 and o\/((-9)\/(-60))*(-6)\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70247 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3476867 divided by -182993\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-137.\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 75, 324, 743, 1332?\n\"Answer: 85*t**2 - 6*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324\/(-45)*(-12)\/(-48)*(-1)\/(-3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -48. Let a be 2\/(-4) - i\/(-6). Solve 4*q - a*j = 17, -2*q + 2 = 2*q + 2*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 984*y + 868*y - 1 to the form b*y + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 177.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13384157767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*((-2)\/12 - -2)*-4. Let k be c\/(-16)*-2*530\/(-5). What is the highest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440290 rounded to the nearest one thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Suppose -q*b = -2*b. Suppose c + m - 27 - 5 = 0, b = 2*c - m - 67. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1828.4*-33.73\nAnswer: 61671.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + e99e4?\nAnswer: e99d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23187.\nAnswer: 3, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20101002 (base 3) to base 6\nAnswer: -33302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.8 + -4.8. Which is the smallest value? (a) -3\/2 (b) -1 (c) r (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 50*m + 353. Let l be f(-7). Let y = 76 - 75. Solve p - y = l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6750831583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 104202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:59 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4912571l?\nAnswer: 491.2571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731 - 689 - 1405 = -25*m. Solve 17*k - m = 6 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4186*168\/441*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100001 (base 2) to base 12.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -32. Is i bigger than -27\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21236*v**4 - 12950*v**2 wrt v.\nAnswer: 509664*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 247953220 to the nearest one million.\nAnswer: 248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141655 = -11*y - 101*y - 17223. Does 0.9 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 0.13, -0.2, -9489.\nAnswer: -9489, -0.3, -0.2, 0.13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7011 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**3 - 35*l**2 + 35*l**2 + (2 + 2*l - 2)*(4*l**2 + 0*l**2 - 2*l**2) - 34*l**2 + 2*l**3 + 19142 - 19142.\nAnswer: l**3 - 34*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65804 - 857742 = -26*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from 103.52.\nAnswer: 116.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393773?\nAnswer: 449, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36036 and 1534104.\nAnswer: 10738728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.585653ml to litres.\nAnswer: 0.005585653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 26*y**2 + y - 4. Let p(z) = -z**2 + z - 1. Let x(d) = -o(d) + 5*p(d). What is the units digit of x(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.774816mm in nanometers?\nAnswer: 774816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/97085 + -8640541\/776680. What is the common denominator of j and (-4)\/14 + (-127)\/(-595)?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273\/374 + -1453323\/2618. Let x = s + 557. Factor -x*m + 1\/7*m**4 - 6\/7*m**3 + 0 + 12\/7*m**2.\nAnswer: m*(m - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141105107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 6 + 5 + 3*m.\nAnswer: 3*m + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*t + 82*t. Sort t, 24, 1, 5.\nAnswer: t, 1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 6*u**2 - u + 41. Give n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1.9, 1.6, -2\/9 in increasing order.\nAnswer: -1.9, -2\/9, 0.5, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.05, -1\/8, -1\/9.\nAnswer: -11, -1\/8, -1\/9, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11 = -2*v + v, 5*a + v - 5 = 0. Let j be 2 - 1 - (0 - 38). Suppose 0 = 5*m + 9 - j. What is the greatest common divisor of m and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 11*g**2 + 5*g + 9. Let n(z) = -z**3 + 23*z**2 - 2*z + 37. Let i be n(23). Let b(q) = q**3 - 5*q**2 + 2*q + 4. Calculate i*b(a) + 4*u(a).\nAnswer: -a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 10 - (-2 - (4 + -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let x(c) = 91*c - 63. Let d(s) = 42*h(s) + x(s). Let l be d(9). Suppose 3*q + 15 = l, 4*q = -7*j + 11*j - 704. What are the prime factors of j?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2319*b + 2761 wrt b.\nAnswer: -2319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a3 (base 14) in base 7?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 112751853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-3))\/((-2)\/3). Let h = d + 0. Suppose 18 = 2*i + 5*k, -3*i = h*k - 58 + 22. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -45 + 15 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 49*s**3 + 5*s**2 - 4*s + 82. Let c(r) = -48*r**3 - 6*r**2 + 5*r - 82. Let u(f) = 4*c(f) + 5*j(f). Differentiate u(z) with respect to z.\nAnswer: 159*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f**0*f))\/f)**36)**(-5\/6) assuming f is positive.\nAnswer: f**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 503930 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 14*t - 33*t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -86. Suppose -3*o = 9, o - 39 = 3*y + 4*o. Let g = y + 27. Calculate the remainder when c is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {h: 1, y: 2, g: 5, j: 8}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -66. What is the remainder when d is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260 + -265. Let l = 23.69 + -0.69. Sort -1, l, j in decreasing order.\nAnswer: l, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150, -308, -698, -1422, -2582, -4280?\n\"Answer: -17*t**3 - 14*t**2 + 3*t - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2021, 1976, 1903, 1802, 1673, 1516?\n\"Answer: -14*f**2 - 3*f + 2038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -1 + 29. Suppose -2*x + 4*r - 5 = r, 15 = -d*x + r. Let s(n) = -n**3 - 4*n**2 - 3. What is s(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1529, -11, -3, 6 in ascending order.\nAnswer: -1529, -11, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.55 + 0.550000848. What is l rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let b(h) = 162665*h. Calculate b(q(m)).\nAnswer: 162665*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 6:17 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.08 + -20.079984251. Round s to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2 - 0) + -24 + 20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -820304*x**2 - 786114*x wrt x.\nAnswer: -1640608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 65 + 2110\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3 - 50*b**2 - 136*b - 88 = 0.\nAnswer: -22, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 6*w - 4*w - 10*w + 3*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2789 - 176?\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 6*n**2 - 7*n - 5. Let p be s(-5). Let w = p + -5. Is 15 a factor of 12 - w - 1*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -65*w**2 - 2*w + 1. Let p be n(1). Let k = -96 - p. Let c = k - -79. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 400 or -274?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, -5, 4, 1, -8, -2.\nAnswer: -8, -5, -2, 1, 4, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 5 = -6*l. Calculate the smallest common multiple of 12 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0, 11, -428.36?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:32 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m**4 + 79*m**3 + 102*m**2 - 160*m - 32 = 0.\nAnswer: -4, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 219862 and 5210.\nAnswer: 1099310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1100, -2183, -3266, -4349, -5432?\n\"Answer: -1083*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(153) + sqrt(153))*6 + sqrt(204)\/(sqrt(12) + -3*sqrt(12))*4.\nAnswer: 18 + 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/39 - -35\/156. Suppose 6*x - 4*d = x - 5, -5*d + 22 = -x. Let z be 45\/27 + (-2)\/x. Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2172 * 0.6093.\nAnswer: -0.74163996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = -r, -r - 1 = -i. Suppose -2*b + 6 = 0, b - 18 = 3*z - 6*z. Find the third derivative of -18*p**4 + 2 - z*p**2 - 2 + i*p**2 wrt p.\nAnswer: -432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14764 - -9898. Let q = d + 248158\/51. Do 1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (-2 - 0\/2)) + -121 + 126.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256014 and 2178?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 4*r + 3. Let g be w(-4). Suppose -3*a + 4*a - 4 = 0. Suppose -g = q - a. Let z(m) = 7*m**2 - 2*m + 1. Calculate z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14749401?\nAnswer: 3, 4916467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 - r**2 + 12*r + 16. Calculate l(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t*t\/(t*(t*t*t**(-1\/10))\/t)*t*t)\/((t\/t**(-1\/3)*t)\/t*t*t**2) assuming t is positive.\nAnswer: t**(-157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from omommo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (5 + -71)) + (-2)\/(-2). Let q = h - 61. Solve -5*d = -4*l - 26 - 19, q*l = -d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*o**3 - 17 + 17 + 1192*o**3 - 175*o + 175*o.\nAnswer: 1302*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*d**2 + 4*d**3 + 41*d**2 + (2*d - 5*d + d)*(3*d**2 - 3*d**2 + 2*d**2) + 2 - d**3 - 2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from hheheeehhh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/1)\/(1\/5). Suppose -424 = -11*j + 19*j. Let y = p - j. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/7 + 69052*i**3\/7 - 138098*i**2\/7 + 9864*i = 0. What is i?\nAnswer: 0, 1, 34524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8*q + 387. Let f be m(-48). Let b(t) = 2 + 6*t + 2*t**2 - 3*t**2 - 3. Let g be b(4). Solve f = 2*c - g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65, 173, 407, 767, 1253?\n\"Answer: 63*u**2 - 81*u + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-27))\/(30\/(-9))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6046308, 6046316, 6046312, 6046290, 6046244, 6046168, 6046056, 6045902?\nAnswer: 6045700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 9*k + 6. Let f be x(5). Let o be (-1)\/7 - (-40)\/f. Let q be (68\/20 + o)*-10. Put q, 1, -6 in descending order.\nAnswer: 1, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4144 + -2383. List the prime factors of q.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -31\/5?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 5*d**3\/3 - d**2 - 3*d + 1. Let g be s(-2). Suppose -5*c = -2*c - 15. Solve -4*i = g - c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 26*n**3 - 4*n**2 - 10*n - 1. Give t(-2).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 1, l: 1, c: 2}. What is prob of picking 1 v and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1930? (a) -5 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9225941 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33, 65, 97, 129, 161, 193?\n\"Answer: 32*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*k = -8*a + 30, -a = -3*k + 2. Solve 2*b = -4*g + a - 2, 0 = 2*g + 2*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3795 is divided by 152.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511585443.\nAnswer: 3, 163, 116243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*s = -86*s + 120 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/22 and 43\/7066.\nAnswer: 77726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t + 105*t + 40*t + 3*t + 15*t.\nAnswer: 135*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 n when four letters picked without replacement from {r: 2, n: 8, k: 7, h: 1}?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/11 and 53\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*x)*(0*x - 2*x + 4*x) - 320*x**2 + 182*x**2 + 189*x**2 to h + c*x**2 + d*x and give c.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, l: 4, s: 4}. What is prob of picking 1 s and 1 l?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/6 + 11*b**3\/6 - 26*b**2 - 2*b - 66. Differentiate f(c) with respect to c.\nAnswer: -4*c + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3084920 divided by -1165\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/20 + l**4\/12 + l**3\/3 + l**2 + l. Let s(a) be the first derivative of w(a). Determine s(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(4 + 0 + sqrt(1872) + 1 + -1)**2*-3.\nAnswer: 3456*sqrt(13) + 67968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 6*f + 71*f**2 - 3*f)*(36 - 37*f - 36).\nAnswer: -2627*f**3 + 74*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208456577?\nAnswer: 7, 29779511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 99a141 (base 11) to base 15\nAnswer: 217789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c - 6. Let d be 2\/(-6) + 13\/3. Let r be z(d). Solve 4*w + r = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1610*f + 1365*f + 12402 = 3827 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 2*z = -73600. Is 40 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, f: 9}. What is prob of sequence nffn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/1)\/(((-132)\/(-660))\/((-2)\/(-5)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -139154935900 from -384.\nAnswer: 139154935516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12516?\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 15 - 0. Suppose -b - 108 = -c - 6*b, -2*c + 206 = r*b. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*y + 52. Suppose -y*s = -6*s - 50. Solve 4*n = -n - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 20 = 4*h, -5*h - 21 = 4*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/8 and 1\/4648.\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371110 is divided by 19310.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {p: 2, q: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*g = 141*g - 177430. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygyyvyxyyvuyvyggxybb. Give prob of picking 1 x and 1 y.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31282?\nAnswer: 2, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -22. Let h be 4*(-2)\/(8\/1066). Let m be (h - -1)*g\/(-9). What is m rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305 divided by -6\nAnswer: -305\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -39*j + 37. Let a(z) = 11*z - 12. Calculate -21*a(n) - 6*w(n).\nAnswer: 3*n + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) + 3))*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3 - 3)*(-3*h - 3*h + 7*h) + (h - h**2 - h)*(-3 + 1 + 4) + (-5 + 5 - 14*h)*(-5*h - h + 4*h).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/9 + 1\/18. Sort d, -3, 0.07.\nAnswer: -3, d, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 26 = -h + t, -4*h = -2*t + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5332, 5328, 5324?\n\"Answer: -4*k + 5336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159795 divided by 67.\nAnswer: -2385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18834, 37844, 56854, 75864?\n\"Answer: 19010*x - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121 (base 3) in base 15?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 3*l. Let m(z) = 28*z + 1. Let o(s) = 54*s + 2. Let x(u) = 2*m(u) - o(u). Determine -2*p(n) + 3*x(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1668.16 and 3353181.\nAnswer: 3354849.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*y = -3*m - 204*y - 10, -20 = -2*m + 2*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15775*v**3 - v + 64 - 64.\nAnswer: -15775*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*b + 2 - 2 + 63*b.\nAnswer: 487*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2523 - -2518.931. Let i = -0.069 - r. Which is the closest to 0.1? (a) 3 (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3 + 50*r**2 + 264*r + 216 = 0.\nAnswer: -18, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/7)*z)\/z**(2\/9))\/(z**(1\/11)*z*(z*z**3\/z)\/z) assuming z is positive.\nAnswer: z**(-1306\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**5 - 2 + 2)*(-2 + 1 + 0) + 0*k**4 + 0*k**4 - 3*k**5 + (96*k - 96*k - 163*k**3)*(-k**2 + k**2 - k**2) - 3*k**2 + 3*k**2 + k**5.\nAnswer: 163*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/8 - 122879*t\/2 - 1474539\/8 = 0. What is t?\nAnswer: -491513, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k = -82*k + 68. Suppose 53*g - 55*g = -4*v + 166, -k*v - 2*g + 186 = 0. Suppose -6 = -2*q + 12. Calculate the remainder when v is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118631 is divided by 659?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 1\/3, 2\/15, 5, 2\/9, 1.21?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Let v(g) = g**2 - 4*g + 1. Let d be v(j). Let c(t) = 40*t**3 - t**2 + 2*t - 1. Does 17 divide c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 57*j + 3. Determine u(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -d4fb7 (base 16) to base 12\nAnswer: -360a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 14. Give s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from yiviwyyyyvvyvyiiivyy.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 16425?\nAnswer: 16425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -77918*g**2 + 59*g - 306. Let b be q(6). What is b rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1289 = 57*u + 271 + 150 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 27415?\nAnswer: 1\/5483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11535067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -256 - -258. Let u(l) = -2*l - 1. Let x(b) = 6*b + 3. What is k*x(z) + 7*u(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-2\/9)\/p*p*p*p)\/((p\/p**(-9\/2)*p)\/p)*(p*p*p\/(p\/(p**(-1\/4)\/p)))**(1\/2)*((p**0*p)**(13\/4))**(-2\/3) assuming p is positive.\nAnswer: p**(-253\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 4*d**3\/3 + 49*d**2 - 47*d - 6212. Give y(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1042490 greater than -1042490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 10) to base 3\nAnswer: -21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*i + 16*i + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 196.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2537700 and 82.\nAnswer: 104045700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.6 + -0.4. Suppose 0*s + s + 2 = 0. Which is the third smallest value? (a) 3\/7 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(175)*-2 + sqrt(175)*4*3)**2 + -1.\nAnswer: 300*sqrt(7) + 17508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -6. Let t be (x - -5)*(-3 + 2). Is 1\/15 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -337083.66 + 17?\nAnswer: -337066.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + d + 6*d. Let o(z) = -z**2 + 2*z - 3. Let k be o(2). What is m(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m + 2. Let p(d) = 4*d + 1. Let j(b) = 2*p(b) - 3*s(b). Let h be j(3). Let l = -6 - h. Put -5, 5, l in ascending order.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3002)\/(-869) - 6\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 10, -47, 0.7, -1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 5*x**2 + 5*x + 3. Let f be w(-4). Let y be 1*(15*f)\/(-3). Suppose -7*d - 20 = -12*d. What is the closest to -2 in y, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + w - 929 = 0, -w - 2 = -2*w. Is f*(-3 - -4) + 1 + -2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11617130 rounded to the nearest 10000?\nAnswer: 11620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 60. Let t(g) be the third derivative of 0*g**3 - 1\/8*g**4 + 0 + 0*g - 1\/60*g**5 - 2*g**k. Find the second derivative of t(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 16. Let j be o(11). Solve j*g - 6*g = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-40)\/(-80))\/((-3)\/(-18)). Sort 13, s, -4, 10 in decreasing order.\nAnswer: 13, 10, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.181 - 0.181. Put 0.3, 3\/7, v in ascending order.\nAnswer: 0.3, 3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.184 or -3.6?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315750 (base 8) to base 10.\nAnswer: 105448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103772 + 304772. Suppose -3*d + 67000 = v, -3*v + 0*v - 3*d = -p. What is v rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*(w*w*w**(6\/11)\/w*w)\/w)**39)**0)**(1\/23) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 1. Suppose 0*h - 4*h - 4*f - 16 = 0, 14 = -5*h - 2*f. Let r(q) = 5*q**4 - 15*q**2 - 16*q - 6. Let j(s) = h*z(s) + r(s). Solve j(o) = 0.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Let u(a) be the first derivative of -a**4\/2 - a**3 + 5. Let z be u(p). Calculate the greatest common divisor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21974.\nAnswer: 2, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25012 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -311\nAnswer: 5\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.29 - 4.29. Let q = -1 - -3. Which is the second smallest value? (a) q (b) 0.2 (c) -1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4503816 by 24.\nAnswer: -187659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqfqf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958591?\nAnswer: 101, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599112280 a multiple of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*y = -4 + 28, 2*y = f + 21. Let v be (40\/f)\/(1\/(-9)). Solve 4 - v = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13918 and -3.\nAnswer: 41754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g = -29*g + 12. Suppose -2*b = -p - 269, g*p + 0*p - 127 = -b. Let w be b*8 + (0 - -20)\/(-5). Round w to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-75))\/(9\/105).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-10 + 8 + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806725.3 millilitres to litres.\nAnswer: 806.7253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d + 56. Let r = -49 + 29. Let v be w(r). Let z(p) = 6*p + 8. Let o(l) = 7*l + 9. Let f(g) = 5*o(g) - 6*z(g). Give f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 57 and 57 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019.7 rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/440 - -9793\/440. What is the common denominator of c and -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + -4 - (-18 + 5). Solve 24 = -0*a - t*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 162\/(-20))\/(15\/(-25)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 11:09 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -1\/3*i**2 - 2\/9*i**3 + 3 + 0*i. Factor f(y).\nAnswer: -2*y*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-4) + -1*(-2 - 1). Suppose b - 21 = -c. Calculate the greatest common factor of 165 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -150, -301, -452, -603?\n\"Answer: -151*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -461\/26 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(0 - 5 - 4). Factor -4\/3*p + 4\/3 + n*p**4 + 2\/3*p**3 - p**2.\nAnswer: (p - 1)**2*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h - 443. Calculate g(39).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -89 - b + 179 - 94. Let j = -1 - 3. Calculate z(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w - 1. Let n be l(-5). Suppose 0 = 2*h - 17 + n. Suppose h*s + 16 = 0, 0 = -g - g - s + 814. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 0 + 11552*w**2 - 3*w - 11553*w**2 + 3*w**4 + 1 in the form f*w**2 + t*w + l*w**3 + a + v*w**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 48*b**2 - 49*b + 16. Give f(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 4 + 5 + 2*r + 15*r**3 - 2 to the form f*r + b*r**3 + p*r**2 + o and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**3 - 56*r**2 + 300*r wrt r.\nAnswer: -30*r - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 21294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 10 - 11. Let j = -7 + a. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 54. Let d = 29.2 + u. Let f = d + -3. Round f to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 4*p - 1 - 4)*(-4 + 4 - 20*p)*(24*p + 28*p - 48*p)*(-2 - 6 + 6) in the form r*p + w*p**2 + n + c*p**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**2 - 12*f - 18. Let a be u(-1). Let k(s) = 3*s - 1. Let o be k(2). Let z be 5 - (o - a - 1). Solve z*x + 12 + 0 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 10*h**2 + 10*h - 21. Determine a(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p + 30. Let h be d(6). Suppose 4*t + h*l - l = 1523, 2*t + 4*l - 766 = 0. Suppose -t = -6*u + 3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 253 - 256. What is the third biggest value in a, -1\/3, -1\/4, -1\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5745 and 3240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -16 + 0*r + 4 - 4*r. Let o be t(-12). Let l = o - 14. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229211 divided by -52\nAnswer: 229211\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21442 - 1479389\/69. Let v = 2\/23 + p. What is the common denominator of v and -3\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 3:17 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -12.26, -2, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*k = 73*k - 2054 + 269 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1567 and 6301.\nAnswer: -9873667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88731 is divided by 12659.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhwwhwhwhwwh. What is prob of sequence whwh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r + 82. Let p be y(-19). Suppose -11*q + p*q = 1764. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7 + 8 + 3*t.\nAnswer: 3*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -52. What is the remainder when 48 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {w: 14, i: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a = 60. Let m be (a\/6 - 3)*0. Suppose q + 3*c - 16 = 0, -4*q + c + 19 + 19 = m. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppdpppup. What is prob of picking 2 p?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 + 77. Let g = x - -161. Let a be -11 - (12 + -22) - -26. Calculate the highest common divisor of a and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-192)\/(-33) - ((-100)\/(-110)*-20 + 18). Factor -16*g - 2\/3*g**4 - i - 44\/3*g**2 - 16\/3*g**3.\nAnswer: -2*(g + 1)**2*(g + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, 1194\/31, 11?\nAnswer: 1194\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21461, 42867, 64275, 85685, 107097, 128511?\nAnswer: 149927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2\/17 - 7718446*b\/17 = 0.\nAnswer: -3859223, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -3. Let u be (0 - (-3)\/c)*0. Let z = u - -3. Solve -l + 0 + z = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129 by -1654.\nAnswer: 129\/1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 169942342 to the power of 1\/2, to the nearest integer?\nAnswer: 13036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/4 (b) 26 (c) 39 (d) -2\/7 (e) -1 (f) -0.2 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1121133 - 2?\nAnswer: -1121135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 - 7 = -5*c + 5*t, 0 = -4*c + t + 108. Let o(l) = 2*l**2 - 48*l + 10. List the prime factors of o(c).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17668, 335, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 132506*b + 48. Let x be q(-8). Round x to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/7)*g*g)\/g)**(4\/23)\/(g**(2\/11)*g\/(g**(1\/5)\/g*g)) assuming g is positive.\nAnswer: g**(-5174\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:03 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 2. Let t be d(-1). Let v be 0 - 0 - 24\/t. Find the second derivative of 4*b + 0*b + b**4 - 2*b**v wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbnnnnnnnbbnbnbbbbn. Give prob of picking 2 b and 1 n.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttbzbtbbbzbt.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18245.964 minutes?\nAnswer: 304.0994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(88)\/sqrt(2))*1.\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 109823358 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.8, -2\/9, -4\/3, -1\/3, 4, -0.755?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 20*b**3 - b**2 + 4*b + 8. Give m(-2).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -9. Suppose p = -0*k - 3*k + 72. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.12, -1.6, -8\/21, 0.5, 2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsjyk. Give prob of sequence hky.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 - 20.24. Let a = s - -19. Let j = 0.33 + -0.03. What is the closest to a in 5, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810169082 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (216\/(-144) - (-3 - -1))*-18\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*n - 27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j - 48 = -38*j. Let l be 2\/12 + (1\/(-6) - j). Let f(q) = -q**2 - q. Let c(z) = -3*z**2 - 6*z. Give l*f(b) - c(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*w**3 + 85*w**2 - 9*w - 101830?\nAnswer: -111*w**2 + 170*w - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + q = -286 - 175, -2*x + 4*q + 314 = 0. Is x a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34055160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a factor of 175986443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*((k**(-1\/4)*k)\/k)\/k*k)\/(k**6\/k))**(-17)*(k*k*k*k\/k**(2\/7)*k)**(1\/4)\/(k**1\/k)**21 assuming k is positive.\nAnswer: k**(395\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 78*a - 75*a + 2*t + 52, 0 = 25*a - 4*t + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 348113278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 3 = -29*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -7778?\nAnswer: 3889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 4)*(-4*j + 5*j - 2*j + 2 - 2 - j + (3*j + 2*j + 0*j)*(-2 + 1 + 0)) to the form p*j + i and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -115. What is the highest common factor of 352 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -115166*g*k + 1601085*g - 2*k**2 wrt k?\nAnswer: -115166*g - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*v - 2*v - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*w**3 - 154*a*w**3 + 351*w**3 wrt a.\nAnswer: 6*a**2*w**3 - 154*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/3 + 4228*q**2\/3 - 291648*q + 17040240.\nAnswer: -4*(q - 805)*(q - 126)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*u = 60, -4*g + 5*u - 22 = 60. Let z = 189 + -105. What is the remainder when z is divided by (-302)\/g - 12\/(-54)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u + 40 = 2*j, 4*u - 4*j - 120 = 0. Let b be 4\/(-2 + (-5)\/(-2)). Suppose -w + 6 = -b. Calculate the remainder when u is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9)*1)\/((-1192)\/9834).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-28)*((b*b**(1\/8)*b)\/b)\/b assuming b is positive.\nAnswer: b**(-223\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 618027*t**2 + 495079.\nAnswer: 1236054*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3382073?\nAnswer: 47, 227, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(114) - sqrt(114))\/sqrt(6) + -4*sqrt(931))**2.\nAnswer: 12844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -24941750?\nAnswer: 24941750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:48 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(405)*1)\/(sqrt(36)\/sqrt(16)))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 at most as big as 543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 4:00 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1. Let x(g) = -4*g - 2. Let h = -54 - -55. Let o(v) = h*x(v) - 2*w(v). Let p(t) = -t - 1. Determine -o(u) + 5*p(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4690 divided by -670.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25269 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - f**2 + f - 1. Let b(m) be the first derivative of m**4\/2 - 4*m**3\/3 + 2*m**2 - 7*m - 1. Let a = 50 - 51. Determine a*b(y) + 4*p(y).\nAnswer: 2*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**2 - 12257*c - 86186. What is h(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 80*w**2 - 10*w - 221. What is the remainder when y(-40) is divided by 66?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-9))\/((-4)\/(-18)). Suppose 2*n = 2 + 4. Suppose -5*h - 61 = -3*d, -78 + 27 = -n*d + 3*h. Solve 0*x + k*v - 1 = -5*x, -2*v - d = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 34154*w\/9 - 68284\/3.\nAnswer: -2*(w - 17071)*(w - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -68248148 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 + 103. What is the third smallest value in 0.6, a, -0.3, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31743277\/1309 - -24250. Find the common denominator of 37\/51 and k.\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 1 + 1)*(-6*d + 10 - 10) - 91*d**2 + 64*d**2 - 73*d**2 to the form h*d + v + f*d**2 and give f.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 divided by -347?\nAnswer: 273\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-12)*24\/(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 94.455014, -2\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20050397 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 34. Let b(f) be the third derivative of 1\/8*f**4 + 0 + 1\/6*f**3 + 0*f + f**2. Determine b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31079\/8 - -3893. Let j be (1*45045)\/(32\/6). Let z = -8441 + j. Find the common denominator of k and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 + 6426*d**2 - 742 + 251 + 244.\nAnswer: 6426*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12c2 + 4?\nAnswer: 12c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 6 = -4*u. Suppose 88*y - 87*y = -567. Let l = y - -594. What is the smallest common multiple of u and l?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(2\/5))\/l))**(-12\/17)\/(l*l\/(l*l**(-2\/17))*l\/(((l\/(l**(-1\/3)*l))\/l)\/l)))**(-6\/31) assuming l is positive.\nAnswer: l**(2146\/2635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 591840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457256 is divided by 194.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61170118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 190 - 184. Find the first derivative of -22*y - 24*y + 5 - j*y - 86 wrt y.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**4\/14 + 2*b**3\/7 + 4*b**2\/7 - 24*b\/7 + 336. Factor s(c).\nAnswer: -2*(c - 3)*(c - 2)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 4*v**2 + 2*v. Let u be w(-2). Solve y - 1 = m + 2*m, -u*m = -5*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*o + 1. Let l be o\/(-9) - (-5)\/((-225)\/(-80)). Suppose 0 = -2*y - 4*w + l*w + 14, 2*y - 8 = -5*w. Solve -4*d + d - y = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/18, 1, 25, 0.116, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1571 - 200 - v - 234 + 862 + 79 to the form h + m*v and give h.\nAnswer: 2078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 12*u - 7. Let i be r(6). Let y be ((-3)\/(-5))\/((7\/(-5))\/i). Solve d + y*h = 13, -3*d + 0*d = -2*h + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -65 + -18 + (-10 + 13 - -7).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + 676?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*v + 5*t + 15, -4*v = -t - 15. Suppose 86 = -v*u - 5*z, 0*u + u + 4*z = -31. Let x = u + 27. Put -5, -2, x in decreasing order.\nAnswer: x, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 99. Solve 0 = 3*r - 1 - v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301509 is divided by 60300.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 23*j**3 - 6*j**2 - 6*j - 6. Let i(m) = 1218*m**3 - 319*m**2 - 319*m - 319. Give -6*i(k) + 319*y(k).\nAnswer: 29*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 6. Let w be k(5). Let r be ((-12)\/(-8))\/(7\/(-358)). Let i = 77 + r. Which is the nearest to i? (a) w (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-12)\/(-3) - (-87)\/(-21)). Which is the nearest to i? (a) 5 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-80)\/(-4)))\/((2\/1)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15925836 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((-6)\/(-477)*(-41)\/(-984)*36)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -0.3, 232.5, 3, 0.2, 2 in ascending order.\nAnswer: -0.3, 0.06, 0.2, 2, 3, 232.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 523 + -260. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 313383*k - 38277378.\nAnswer: 3*(k - 104583)*(k + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 83 = 3*h. Let b = -10 + h. Let n = -2 - -14. Calculate the greatest common divisor of n and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*j**2 + 2399*j + 19 - 18 - 2413*j to the form v + d*j**2 + w*j and give d.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**2 + 55009572*s + 252171084301932 = 0.\nAnswer: -9168262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 5 + (-1 - 4 + 3)*(3 - 1 - 3))*(0 + 0 - n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 3. Give x(-16).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201180 is divided by 40176?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -44124002 (base 5) to base 3\nAnswer: -201022002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 + -825. Let m = x + 786. Calculate the remainder when 348 is divided by m.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3536636654*m**3 - 7073273306*m**3 + 3536636654*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20210111 (base 3) to base 7\nAnswer: 20305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2599 + 2598.8. Which is the nearest to k? (a) -0.4 (b) 0.2 (c) -2\/9 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 65*l**3 + 0 + 1\/3*l**4 + 194\/3*l**2 + 0*l = 0.\nAnswer: -194, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-546 - -534) + (2 + -3 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 69*m**4\/7 + 6078*m**3\/7 - 27771*m**2 - 16950*m\/7 = 0.\nAnswer: -113, -2\/23, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 11 - 74 = 0. Suppose h*n - 4 = 24. Suppose s = 4*m - 698, 2*s - 700 = -4*m + n*s. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3018 - 1198. Let n = -1180 + u. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-60)\/(-40))\/((-2)\/(-4)). What is the derivative of 8 - 15 - 11*g**3 - i wrt g?\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5470d - -4?\nAnswer: -54709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -4, -283, -1, -5 in decreasing order.\nAnswer: 6, 1, -1, -4, -5, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 3*j = -48, -5*j + 2*j + 3 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/1781379 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(637)))**2*-2 + (-1 + (sqrt(637) + -5 + sqrt(637) - sqrt(637)))**2 + -4 + -4.\nAnswer: -19751 + 364*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.2 + -10. What is the nearest to 2\/5 in -0.2, m, 4\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 47447387\nAnswer: -237236935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2 - 168510786*d - 2366323749861483 = 0?\nAnswer: -28085131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfvl when four letters picked without replacement from {f: 2, c: 1, l: 4, v: 1, n: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.2, -1571 in descending order.\nAnswer: 6, 0.2, -1571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 217, 215, 213?\n\"Answer: -2*f + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 634, 640, 656, 688, 742?\n\"Answer: c**3 - c**2 + 2*c + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -98395395 divided by -19\nAnswer: 5178705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h + 3. Let x be i(2). Let q be (-590)\/150 - (56\/(-60) + 1). Sort 2, -5, q, x in decreasing order.\nAnswer: 2, x, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*s - 5 = 0, 2*p - s - 21 = 0. Let j be 3085\/(-9) - -1 - p\/36. Let u = 4444\/13 + j. What is the smallest value in -2, 0.3, -2\/5, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(180))**2 + 1.\nAnswer: 12*sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 - (0 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 24*u**4 - 7*u**4 - u)*(1 - 3 + 1)*(-u + 0*u + 4*u).\nAnswer: -57*u**5 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4\/5 - 3494658*g**3 - 52419888*g**2\/5 - 52419894*g\/5 - 17473299\/5 = 0. Calculate g.\nAnswer: -1, 5824433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.9. Which is the nearest to -2\/7? (a) 5 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9870 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 61 = 59. What is the greatest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -0.5, -1, -0.3, -10 in increasing order.\nAnswer: -93, -10, -1, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24027 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 315 divided by -4\nAnswer: -315\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -170 + 172. Sort 18, -4\/9, r.\nAnswer: -4\/9, r, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050041 rounded to 4 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 11, a: 7}. What is prob of picking 3 s?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50802 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -147 - -85. Is a at most -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 759?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 1489 + 1457. Suppose 3*s - 120 = -4*v, v + 0*s - 45 = 3*s. What is the lowest common multiple of v and j\/(-4) - (-4 - 3)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28435 and 6016?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 17*w**2 - 7*w**2 + 14.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0338657 * 0.4.\nAnswer: 0.01354628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (16 + -13 + -35 - -1 - -16).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2845\/90*3 - 1\/(-6). Suppose -5*y + 85 = r. Suppose 2*m + 4 + 6 = 0. Which is the nearest to -0.4? (a) y (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**(-6))*p*p)\/(p\/(p*p*(p*(p**(3\/32)\/p*p)\/p)\/p)*p)*p**(-12\/7)\/p*(p\/p**(3\/19)*p)\/p assuming p is positive.\nAnswer: p**(-33105\/4256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-8)\/((-12)\/3)). Let p(g) = -g + 1. Let r(j) = 3*j - 5. Calculate s*r(q) - 2*p(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, -441, -2, 2 in ascending order.\nAnswer: -441, -3, -2, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 7543455071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*g + 10, 19*m - 5*g + 10 = 20*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (-1 + sqrt(275)))*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58.7 - -6.7. Let n = f + 18. Let l = n - -34.00000014. What is l rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**8*w*w)*w*w*w\/(w*w*w*(w*w*w**(4\/7)*w)\/w*w))\/(w**(-2)*w**(2\/3)) assuming w is positive.\nAnswer: w**(-236\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 3\/92, -1\/6?\nAnswer: 3\/92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 41*o**2 - 138. Let g(u) = -2*u**2. Calculate i(g(d)).\nAnswer: 164*d**4 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -14 (c) -0.5 (d) 24 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 154 - 1312?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11884, -47573, -107062, -190357, -297464, -428389, -583138, -761717?\nAnswer: -964132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {c: 11, b: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o - 130*o = 644 + 964 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 0*r**2 + 5\/3*r**3 - 3*r + 1\/4*r**4 + 10. Let d(n) = 2*n**2 - 1. Let p be -5 - (1 + -1)\/1. What is p*d(u) + 2*q(u)?\nAnswer: 2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) 0.3 (c) -8 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164700, 164699, 164698, 164697, 164696, 164695?\nAnswer: 164694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -461*b**2 + 15*b - 5. Let x(q) = 3*q - 1. Let g(o) = 4*o + 9. Let n be g(-1). Let y(m) = n*x(m) - w(m). Let a(t) = t. Give y(a(z)).\nAnswer: 461*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9882311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, 2, -3, -11 in ascending order.\nAnswer: -21, -11, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**5\/20 - s**4\/16 + s**3\/3 + s**2\/2 + 43. Determine d so that z(d) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11230 (base 4) in base 7?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a*i*y**2 - 50*a*i - a*y**2 + 2*a - i - 3990*y**2 + 3 wrt y?\nAnswer: -2*a*i*y - 2*a*y - 7980*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/((1\/58)\/((-11)\/(-22))). What are the prime factors of (104\/(-10))\/(116\/q)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953831 is divided by 317775.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/11)*d*d**(2\/3) assuming d is positive.\nAnswer: d**(82\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 1 q when three letters picked without replacement from lllqdklqflkqllfll.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 0 - 115\/45. Is -1 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10426 is divided by 801?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -248*k**2 - 2. What is p(-1)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (546\/36)\/((-277)\/1662)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 3*u + 0*u)*(-2134*u + 17966*u + 11543*u + 12068*u) in the form k*u + g + m*u**2 and give m.\nAnswer: -78886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(1216)) - -2*sqrt(38)\/sqrt(2)*-3) + -4.\nAnswer: 2 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m. Let r(c) = 10*c - 32. Let o(t) = 3*t - 8. Let a(d) = 4*o(d) - r(d). Give 10*a(v) - 4*w(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.0288, 92, 25, 2?\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 0 + -9 - 22?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, -0.0245, 3\/7, -1\/4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v = -4*x + 36, -126554*x = 4*v - 126559*x - 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 88)\/(-13 + 11). Suppose -37*o + c*o - 385 = 0. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*b + 12*b - 11*b)*(2*b + 15671 - 31305 + 15714) in the form z*b**2 + i + v*b and give v.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 418\/(-55) + 6\/10. Let h(u) = 2*u**2 + 15*u + 4. Determine h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 275, 360, 481, 644, 855?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 18 (b) -5\/2 (c) -23 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:45 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z**2 - 4*z - 2. Let l be c(-2). Let y be 235\/4*34\/l. Let b = y + -111. Is 0 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m - 4*n = 85, -43 = -m + 5*n. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -20. Let x be 8\/26*2\/y. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 8*p - 6. Calculate q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 116\/11 (c) -3\/2 (d) 2 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29845 + -1?\nAnswer: 29844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4118 divided by -2?\nAnswer: -2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-12))\/((10\/(-3))\/10). Put 1\/5, -0.2, 1, a in descending order.\nAnswer: 1, 1\/5, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 3*m**2 - 6*m**2 + (-1 - 1 + 3)*(3*m**2 - 4*m**2 + 2*m**2) - 3345*m**2 - 5023*m**2 + 17 - 17.\nAnswer: -8370*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12b2 (base 12) in base 5?\nAnswer: -32100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1440658664 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qta. What is prob of sequence ta?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.036 times 15446\nAnswer: -556.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 0, -26*v = 3*u - 21*v - 1110. What is the remainder when u is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, x: 1, j: 3, u: 5}. What is prob of picking 3 k?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205070872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 32. Solve k = -4*d - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52186081 is divided by 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 16 - 11 = -4*m, 0 = 5*a + m - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4001 < -4086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88652.\nAnswer: 2, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*z = 2, 5*d - 4*z - 11 - 15 = 0. Let x be 28\/12 - d\/6. Let t be (-4)\/x - 15\/(-10). Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5526 - -5533. Solve 1 = 2*t - m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 34*f = 2*v - 2, -2*v = 5*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368 by -6.\nAnswer: -184\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.3 * -0.1.\nAnswer: -2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-40))\/(-6)*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*j - 35*j - 233 = -78*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.1 + 8.1. What is the closest to 2\/5 in c, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37830*t - 2860 = 18949*t + 18933*t for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1529 divide 87523018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -3be143?\nAnswer: -3be144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202394343.\nAnswer: 3, 199, 347, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -128687, -257419, -386151?\n\"Answer: -128732*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-201)\/283870)\/(16\/60730). Let j = u - -2\/28387. Find the common denominator of (74\/12 - 2)\/(-1) and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974898 is divided by 487447.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2929760 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/2216292 and -82\/2770365?\nAnswer: 11081460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -9 - 11. Let k(z) = z - 5. Let l(m) = -1. Determine t*l(u) + k(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6873550\/(-9750) - 4\/(-30). Let c = a - -705. What is the smallest value in 20, -2\/5, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 542781 divided by 5.\nAnswer: 542781\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 6*l - 8. Suppose 5*n + 8*i - 95 = 3*i, -l*n - i = -75. Let m(w) = 2*w + 7. Is m(n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-b + 6*b + b)*(-6*b + 4*b + 6*b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983666756?\nAnswer: 2, 37, 521, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -22, -52, -94, -148, -214, -292?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*z + 48, 2*z + 11 = 3*y - 28. What is the greatest common divisor of y and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -209*l**2 + 55. Let i(u) = -15*u**2 + 4. What is 55*i(o) - 4*m(o)?\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 277, 1157, 2639, 4723, 7409?\n\"Answer: 301*k**2 - 23*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 8*t + 11 + 5*t**2 - 10 + 23 - 7*t. What are the prime factors of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - (32 + -42)) + (-1 - 3 - -5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 11 + 10*m - 51\/4*m**4 + 3\/5*m**5 + 0*m**2 + 1\/15*m**6 + 0*m**3. What is the third derivative of r(g) wrt g?\nAnswer: 48*g + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 23 - 2)*(x - 4*x - x)*(4 - 2 + 0).\nAnswer: -80*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5487 - -5833. What are the prime factors of j?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 269.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, 84, 167, 272, 393, 524?\n\"Answer: -d**3 + 20*d**2 + 2*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.51 + 0.184862.\nAnswer: -0.325138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.071715678 to 5 decimal places.\nAnswer: -0.07172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659 + (44\/(-55))\/(8\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1160)\/(-24) + 1\/(-3). Let h(s) = -2*s + 4. Let b be h(-4). Calculate the greatest common factor of d and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37, 42, 51, 64, 81, 102?\n\"Answer: 2*b**2 - b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(110) - sqrt(110)*-2) + sqrt(110))*2)\/((sqrt(90) - sqrt(10))*5).\nAnswer: -1 + 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 27*n - 68. List the prime factors of i(16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 1)*(538*g + 159 - 547*g - 12) in the form l + h*g and give l.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -42\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -887.304 - -5.784. Let k = m - -885.2217. Let o = k + -3.7. Round o to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {l: 1, i: 2, r: 2, d: 5, o: 2, k: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6653*i**4 - i**2 - 132*i + 73157602?\nAnswer: 26612*i**3 - 2*i - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70774.4 rounded to the nearest 10?\nAnswer: -70770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 37*a + 20. Let o(r) = 41*r + 23. Let v(z) = -7*l(z) + 6*o(z). Let d(h) = -2*h. What is d(v(k))?\nAnswer: 26*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 2*j = -14, 3*a + 5*j + 28 = 22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**7\/735 - 107*n**6\/420 - 211*n**5\/210 - 5*n**4\/4 + n**2 + 2*n + 3. Let g(o) = 0. What is o?\nAnswer: -105, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/30 + 8\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 24. Let b be z(-18). Solve 3*n + 0*n = b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from oozmnnnmn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(700)*1 + sqrt(700) + 5).\nAnswer: -80*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 53 = -p, 1203*p - 43 = -i + 1199*p. Let k(c) = 8*c**3 - 13*c**2 + 28 - 6 + 3 + 20*c. Let r be k(i). Round r to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 737, 735, 733?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 18*m**2 + 21*m - 10. Let l be g(10). Solve 26 = -k - 5*c, 5*k = -l*c - 3*c - 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*f - 19. Solve -4*u + 20 = 0, u = 3*g + 2*u + f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 - 176*g**4 + 388*g**3 + 896*g**2 - 1104*g = 0 for g.\nAnswer: -46, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (208 + 37*x - 208)*((4 + 0 - 3)*(20*x - 23 + 23) + (0 - 1 + 2)*(x + 3*x - 3*x)).\nAnswer: 777*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577373*b + 2 = -3*o - 577368*b + 46 + 210, 3*o + 4*b = -214 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13023203 (base 4) in base 3?\nAnswer: -1111100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 31*k. Let r(b) be the third derivative of b**4\/24 - 6*b**2. Give u(r(p)).\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*l - 14 = -t, -5*t = -4*l - 70. What is the highest common factor of t and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t - 52 = 2*y, 0 = 3*t + y - 121. List the prime factors of (t\/15 + -4)*-110.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*z**2 - 22*z - 4.\nAnswer: -2*(z + 2)*(5*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31380689 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2428736, 2428783, 2428830?\nAnswer: 2428877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:59 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 4. Let y be z(3). Suppose -m = 3*m - y. Find the second derivative of -m*q**2 + 2*q**2 - 5*q + 4*q + q**3 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -3.3 (b) 2\/3 (c) -0.5 (d) 78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 44. Let l = s + 9.5. Which is the biggest value? (a) -0.08 (b) l (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-78)*4420\/(-1632).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43175, 43223, 43307, 43433, 43607?\n\"Answer: y**3 + 12*y**2 + 5*y + 43157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-3*6 - sqrt(143)*-4*5)\/(-1*sqrt(704) - (sqrt(396) + sqrt(396)*-2)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 8921a9?\nAnswer: 8921a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, -1\/4, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -60, -61, -64, -69, -76?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.413 + 0.013. What is the second smallest value in 2\/3, s, 1, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 248*i - 1 + 1319*i.\nAnswer: 1567*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n**3 + 6*n**2 + 9*n - 18. Let t(w) = -7*w**3 - 5*w**2 - 6*w + 12. Let c(r) = 5*s(r) + 7*t(r). Calculate c(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**4 + 9799*v**2 - v + 3*v**3 - 9755*v**2 - 4*v**4 - 5 to the form y*v**3 + d*v**2 + f*v + j + w*v**4 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.569 - -0.069. Let u = -14 - -3. Let c = -6 - u. Sort c, 0.1, t.\nAnswer: t, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -521267820*d**4 + 74552020*d wrt d?\nAnswer: -6255213840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -293*g**2\/2 - 35*g - 39. Let f be u(-7). Differentiate 2021 - f + n**3 + 14*n**3 with respect to n.\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 28\/7 - (-22569967 + -4). Suppose 7*z + c = -60240034. Round z to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 4*g - 4. Let q = -67 - -71. Calculate the smallest common multiple of ((-24)\/5)\/(10\/(-275)) and i(q).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3419 and 239251\/70 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4, 5, -0.1, -27\/83?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1332.74589 - 1332.9. What is h rounded to three decimal places?\nAnswer: -0.154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(3*n**2 + 2*n**3 - 2*n**5 + 972*n**4 - 972*n**4).\nAnswer: 4*n**5 - 4*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2d8b?\nAnswer: -2d86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**4\/12 + x**3\/3 - 5*x**2\/2 + x. Let t be s(-4). What is the units digit of (-20)\/(-2) - t\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z**3 - z**3 + 6*z**3.\nAnswer: 45*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25150 is divided by 1192.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, 0.4, 10, 24, 4, -3, -8 in ascending order.\nAnswer: -8, -3, 0.4, 4, 10, 24, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*y + 2*g - 0*g, 2*y - 5*g - 25 = 0. Solve y*z - 4*z - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3369 and 9.\nAnswer: 10107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7317.275 kilometers in micrometers?\nAnswer: 7317275000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/(-12) - (-3)\/(-9). Let l be 7 + q - (-2)\/1. Solve -l = -2*g + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = 0, -5*r + 0*r = -5*d + 50. What is the remainder when 28 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 1:56 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/20 - 7*m**4\/12 + m**3\/3 - 4*m**2 - 11*m. What is the lowest common multiple of 8 and y(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 227*b + 68. Let o be f(-4). Let v = -766 - o. What is the remainder when v is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5815c (base 14) to base 15.\nAnswer: -43775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599419 < 3599327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 54\/19, 1377?\nAnswer: 1377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-4)*-1*4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 488.67 - -2.33. Let u = p - 491.411. Let o = u + 0.116. What is o rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ba68 (base 14) in base 9?\nAnswer: 116822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-56))\/5)\/((-266)\/2793)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 3059111767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n**15)\/n)*n*n)\/(n\/(n*n*n**(-8))*n))\/(((n**(4\/9)\/n)\/n)\/(n\/n**(1\/6))))**(-5) assuming n is positive.\nAnswer: n**(1585\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let y(v) be the first derivative of v**5\/20 - 3*v**3 - 3. Let h(i) be the third derivative of y(i). Give o(h(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223312, -5, 5 in increasing order.\nAnswer: -5, 5, 223312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*(t**(-2\/15)\/t)\/t))**4 assuming t is positive.\nAnswer: t**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from zqgggqg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678632100.\nAnswer: 2, 3, 5, 1429, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -43, 149, 12, -1.\nAnswer: -43, -32, -1, 12, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 4, v: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3014, -7260, -12726, -19412, -27318?\n\"Answer: -610*g**2 - 2416*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40aa38 (base 11) in base 15?\nAnswer: -d02ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 13 = l, -c - 4*l + 12 = 1. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1187183 by -12239.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 13*u - 14. Determine r(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Suppose -4*j + 3*j + 7500 = a. Round j to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001011 (base 2) in base 5?\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 4. Suppose 12 = 7*c - 3*c. Let u be x(c). Is -10\/3 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -14*d + 18*d. Let b be 0\/((-6)\/(d - -3)). Suppose 0 = -3*t + 4*u + 21, -2*t + 30 = 3*t - 5*u. Sort 4, b, t in descending order.\nAnswer: 4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293791, -293576, -293227, -292750, -292151, -291436, -290611, -289682?\nAnswer: -288655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 312626 less than or equal to 1563137\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7546 + -7544. Let o(s) = -s**2 + s - 1. Let m(k) = 6*k**2 - 4*k + 3. Let d(z) = -m(z) - 5*o(z). Let b be d(-2). Solve b = r*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283 - 272. Put 5\/3, 2\/13, k, -0.4 in decreasing order.\nAnswer: k, 5\/3, 2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7560700 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + -2 + (-8 - (-3 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -397*h + 25. Let r be i(13). Let z = r + 1386. Round z to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 12:57 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -38?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26172 - -11.6?\nAnswer: 26183.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 912934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7344\/(-624) + 12 + -2*2825\/260.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 371*j + 19040. Calculate u(102).\nAnswer: 2006","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 times -245.653?\nAnswer: 8597.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 19 = -3*u, -3*u - 5*m + 17 = u. Put u, 4, 1 in increasing order.\nAnswer: u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3205 - 386311?\nAnswer: -389516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let d(n) be the first derivative of 10*n**3\/3 - 9. Determine u(d(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(2\/15) assuming m is positive.\nAnswer: m**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -81*j**2. Let h(v) be the first derivative of -v**2\/2 + 25. What is h(x(k))?\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 1 - 1)*((-4 + 1 + 2)*(0*p + 0*p - p) - 18865 + 18865 + 149*p).\nAnswer: -150*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -941 - 2103. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**4 - 6*m**2 + 5*m. Let l(x) = -55*x**4 - 65*x**2 + 55*x. Let t(o) = 6*l(o) - 65*u(o). What is the second derivative of t(n) wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d**2 + 44*d**2 + 7*d**2)*(-1 + 7 - 9 - 3*d) + (-1 + 0 + 0)*(0 + 0 - d**3) to the form b + s*d**2 + h*d + p*d**3 and give s.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -8*d + 34. Solve -2*p = -d*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -297*t - 4. Let q be v(-1). Let o = q - 98. Does 28 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9090, 9096, 9102?\nAnswer: 9108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**3 + 12*h**2 + 11*h + 6. Let q(j) = 7*j**3 + 13*j**2 + 12*j + 6. Let n(d) = 5*q(d) - 6*v(d). Calculate n(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/6)\/((-3)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1. Let q = 0 + i. Solve 2*h - q + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 2. Let m be b(-1). Suppose 2*k + 4*w - 390 = m, k - 75 = -w + 124. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 1 - (1 + -6 + 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57561749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 41*v**2 + 6970*v + 17. Give y(-170).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -0.01, 452.\nAnswer: -3, -0.01, 16, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/235819?\nAnswer: -2\/235819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n**2. Let y(u) = 9*u**2 - 6*u - 6. Let l(q) = q**2 - q - 1. Let t(a) = -6*l(a) + y(a). Determine m(t(o)).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -10001.8419.\nAnswer: -10001.8419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35413 = -840*j - 10213 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19.14, 0.21, -3.4, 4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -45*v + 258. Calculate y(7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482*s**3 + s**2 - 52*s + 52*s.\nAnswer: -1482*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16885*o**4 - 98*o**2 - 3*o - 19?\nAnswer: 405240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3 + 134825*n**2 + 31077560*n + 1798596240 = 0. What is n?\nAnswer: -26733, -116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - m + 3*m + (-m + m + m)*(-3 + 6 - 2) - m + 3*m + 0*m + (6*m + 4 - 1 - 1)*(-1 - 5 + 4).\nAnswer: -8*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67606 rounded to three dps?\nAnswer: -0.676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 198.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -20. Suppose 6*v = 3 + n. What is the highest common factor of v and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10387)\/13)\/17*((-42)\/(-6))\/7\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50819848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 792 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8974979 centuries to months.\nAnswer: 1076.99748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 76985.13.\nAnswer: 76969.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-583000)\/(-22)*(-3 + -1). Round d to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) - (-44)\/10. Let v(x) = -2*x - 5 + x**3 + 4*x**2 + x**2 - 2*x**3. What is v(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.070815 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v, 7*r - 2*r - 3*v = 23. Suppose -r*f = -f - 6. Let t be 4 - (f + (-12)\/(-2)). Let w(d) = 3*d - 1. Calculate w(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00249125 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168332?\nAnswer: 2, 42083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 8) in base 2?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 201777 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + 9?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75245909 to 4 decimal places.\nAnswer: -0.7525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4 - 21. Suppose -c*v = -9*v. Solve v*g + 15 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.199 - 0.299. Sort 5, u, -1\/3, 0.3 in ascending order.\nAnswer: -1\/3, u, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/(-2))\/(6 - (-105625)\/(-17602)) is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-1)\/6*1. Let d(f) = 7*f**3 + f**2. Give d(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128097?\nAnswer: 3, 43, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.17 - -0.17. Let v = 4 + -3. Let c be 3\/(-10)*150\/36. Put v, c, n in ascending order.\nAnswer: c, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 489406 or 489365?\nAnswer: 489406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174528116 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(5 + (-6)\/2). Let k(w) = w + 3. Let a be k(m). Let r = 8 - a. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m - 134974*m**3 - 12*m**2 - 6 + 269949*m**3 - 1257*m**4 - 134971*m**3 wrt m?\nAnswer: -30168*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 + 4 - z**2 + z**4 + 3*z**3 + 6 as t*z**4 + h*z**3 + d + u*z**2 + y*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -59. Suppose 5*g - 32 = 3*f, -3*f - 31 = -4*g - m. Solve a = -2*a - 15, 0 = -g*h + 3*a + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92111*d**3*u**3 + 111*d**3 - 2*d**2*u**2 + d*u**6 + 265*u**2 - u wrt u?\nAnswer: -552666*d**3 + 120*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 4*l**2 - 10*l + 8. Let r(j) = j**3 + 8*j**2 - 4*j + 6. Calculate the remainder when r(-8) is divided by y(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -137363, -137365, -137367?\n\"Answer: -2*l - 137361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 5:47 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/7 + 51067914*o\/7 + 72954120.\nAnswer: 3*(o + 10)*(o + 17022628)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.0185 - -22973496.\nAnswer: 22973456.9815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -1 - -11) + -12. Let n(i) = i - 6. Let w(y) = y - 5. Determine p*w(q) + 2*n(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-92)*280\/(9660\/138).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8 = 7*c. Let u = -1 - c. Let a(f) = -4*f - 9. Let t(m) = 9*m + 19. Let h(k) = 13*a(k) + 6*t(k). What is h(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 7 + (-780)\/144. Is v bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112474496.\nAnswer: 2, 293, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 286\/2359 or -1107\/5?\nAnswer: 286\/2359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*h - 1 = 0, -17*t + 2*h = 396 - 168 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/7)\/d)\/d*d*d)**(-46)\/(d\/(d**(1\/7)\/d*d))**(6\/5) assuming d is positive.\nAnswer: d**(1114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121617191 is divided by 163.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 968 + -432. List the prime factors of z.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27313*o + 0*o**2 + 27311*o - 16*o**2.\nAnswer: -16*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1455 = -w, -1582 = -2*w + 2*s + 1288. Suppose 9*t - t - w = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 0. Let g(a) = -a + 20. Let q be g(x). Suppose 4*w = 3*r + 16, -q = 6*r - 3*r - 5*w. Solve 0 = -f + m - 2, -2*f + 0*f + 5*m - 13 = r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20017751 - -5?\nAnswer: -20017744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**5\/30 + w**4\/8 + w**3\/6 + 7*w**2. Let r be c(-3). Solve -3*p - 4*y + 11 = 0, -7*y + 2*y = 5*p - r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*l + 13*l + 2 - 4*l**3 + 22*l**2 - 32*l to h*l**2 + z*l**3 + p*l + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oobb when four letters picked without replacement from xobbo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2. Let m(l) be the second derivative of -2*l**7\/315 - l**4\/4 - 9*l. Let n(h) be the third derivative of m(h). What is n(p(a))?\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**4 + 8*j**3 - 8*j**3)*(-1190 + 841 + 1233 + 5091 + 1469) as l + x*j**4 + d*j**3 + w*j + q*j**2 and give x.\nAnswer: 14888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413, 4450, 15419, 36788, 72025?\nAnswer: 124598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**16*r)**(-2\/7) assuming r is positive.\nAnswer: r**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1945036?\nAnswer: 2, 433, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2326556231 and -8751?\nAnswer: 2326564982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*l + 97*l + 61 + 477*l - 56 as q + k*l and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-3 + (-11 - -4))) + -3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**23\/(u**1*u)**(-2\/15) assuming u is positive.\nAnswer: u**(349\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14645 and 59005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 15*z - 81. Suppose z*x = 49 + 47. Calculate the least common multiple of 16 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p - 2*p)*(-1 + 4 - 1)*(4*p + 2*p - 4*p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 10\/6 - (-10)\/(-3). Which is the nearest to 0.2? (a) 0.1 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84234216 is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x = 34*x - 12. Suppose -x*g = -2*g. Which is the closest to 0.1? (a) 7\/4 (b) 1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 0.76, -1\/3, 0.5, -0.3, 2 in decreasing order.\nAnswer: 54, 2, 0.76, 0.5, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -993*z**3 + 3*z + 2716*z**3 - 3*z.\nAnswer: 1723*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n + 79*n - 67 = 33*n + 2*a, -n + 2*a = -63 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*k = -0*w - 10, -13 = -4*w + 3*k. What is the remainder when w is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123802 divided by -5.\nAnswer: -123802\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 270 + 360 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 14) to base 16.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*g - 2*x + 9, -3*g - 15 = 3*x. Let r be (-8)\/(-9) + 2\/(-3). What is the closest to 7 in r, -1\/4, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*h + h. Solve 20 = -4*b + h*v + v, -2*v + 3 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) + 8\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dedd when four letters picked without replacement from dexeddd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -38*w - 74. Let x be j(-7). Calculate the highest common factor of 144 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 1, l: 2, s: 11}. Give prob of picking 2 l and 1 i.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42429.22 and 8493.\nAnswer: -33936.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10320 - -10323. Let x = 1 + -3. What is the nearest to 2\/39 in x, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2\/9, -6, 0.1, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1125*l*s*z**3 + l*s*z - 44*l*z + 6*z**3 with respect to s.\nAnswer: -1125*l*z**3 + l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 418560 and 106 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 229 + 227, 0 = -4*u - 2*j - 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 5\/(15\/(-4))*(-33)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 138 = -n, 5*r + 4*n - 146 = 67. Suppose 4*i = 7*i + r. Let x be (66\/i + 4)*5. Which is bigger: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -0.2876997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 219*x - 6328. Let k be l(29). Let g(c) = 184*c. Let a be g(1). Calculate the greatest common divisor of a and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + i + 925 = 5*i, 950 = 3*t - i. Suppose p - 2*j - 17 = 40, -5*p + t = 5*j. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 18, -197, -730, -1707, -3254, -5497?\n\"Answer: -21*k**3 + 30*k**2 + 34*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 117.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -163*y - 2. Calculate the remainder when t(-1) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10.035, -4 in descending order.\nAnswer: 10.035, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s**2 - 43*s - 160. What is the thousands digit of q(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6529 + -6516. Suppose 0*j + 4*v = 5*j - 436, -266 = -3*j - 2*v. What is the remainder when j is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1604035 and -0.2.\nAnswer: -1604035.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-12)\/(-159))*20984\/(-5246)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 795 = 4151. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 19*d**2 + 17*d - 15. Let q be k(-18). What is the tens digit of 7 - q - (-100)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 - 10*s + 17. Let a be q(7). Suppose w - a + 6 = 0. Let k = -34 + w. Solve z + v - k = 2*z, 2*v = 4*z + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001001100 + -11001000010011?\nAnswer: -10011111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1625851524?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j - 2. Let a be o(-7). Let b = a + -7. What is the units digit of 1 - (b - 0\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88682967 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 45. Find the common denominator of ((-270)\/j)\/(297\/(-36)) and 41\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {l: 3, z: 1, t: 1, v: 6, e: 1, k: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2 + 3. Suppose r = -3*r - 4*x - 16, -r + 4*x = -21. Let m be 4 - (9 - 3)\/3. Put m, b, r in ascending order.\nAnswer: r, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -851*b**2 + 337*b**2 + 340*b**2.\nAnswer: -174*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 224222444 (base 5) in base 13?\nAnswer: 29399a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -28, 1, 84, 239, 484, 837?\nAnswer: 1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 2383 = -497. Let y be ((-123)\/2)\/((-2)\/4). What is the highest common divisor of f and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027241942 rounded to seven decimal places?\nAnswer: -0.0002724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = 50*c - 39552. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 833 + -224. Is 29 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -116 - 9*w + 54 - 53. Let b be y(-13). Solve 0 = a - 4*i + 15, 0 = 2*a - 5*a + b*i - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*z**2 - 1530*z + 1530*z to i*z + x*z**2 + c and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 9*b**2 + 27*b + 53. Let g be k(-11). Let a(c) = c + 4. Let j(y) = 5*y + 17. What is g*j(n) + 9*a(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10281*d**3*l**4 - 5931*d**3*l**2 + d**2*l**3 - d*l**3 - 2 wrt l?\nAnswer: 246744*d**3*l + 6*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.61 and 7.\nAnswer: -165.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50122 and 494779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d**3 + 5*d**2 - 2*d - 2. Let i(n) = n**3 - 2*n**2 + n + 1. What is 2*i(j) + u(j)?\nAnswer: 11*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 11946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1712 divide 707824458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 2\/9*o**3 + 1 - 2*o**2 + 6*o. Suppose l(d) = 0. Calculate d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4339428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1017*y + 823*y**2 - 881*y**2 - 1017*y.\nAnswer: -58*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from {e: 2, v: 3, i: 2, k: 13}.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/50 and 17\/3265?\nAnswer: 32650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -852031*o**3 + 644362 wrt o?\nAnswer: -2556093*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -14. Let b = k + -4. Solve 3*y + b = -8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 5*d - 248, 3*n + 49 = -42*d + 45*d - 71 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-273)\/2240)\/((168\/175)\/4) and -51\/112.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 28*d + 168. Calculate t(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -2*x**5\/55 + 147*x**4\/22 - 292*x**3\/33 + 1329. Suppose s(z) = 0. Calculate z.\nAnswer: 0, 1, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -3*n + 13. Let c(b) = b + 39. Let g be c(n). Suppose 0*d + g = 6*d. Sort 2, d, 3 in descending order.\nAnswer: d, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 7.1.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - 4*s - 3*s**4 - 3*s + 3*s + 2*s**4 + (-s**3 + 2*s**2 - 2*s**2)*(2*s - 2*s + s) + 3*s**2 - 3*s**2 + s**4 + (s**4 + s**4 - s**4)*(2 - 6 - 4).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 19. Let d = x - -2. Let y be (2\/(-9))\/(12\/(-9)*-2). Which is the closest to 0? (a) d (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(200) + 5 + 0 + ((sqrt(36)\/sqrt(9))\/sqrt(2) - (sqrt(2)*-1 + 4)).\nAnswer: -38*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (340\/(-187) + 2)\/(20\/55). Factor i*t**2 + 15*t + 225\/2.\nAnswer: (t + 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 651892 or 651893?\nAnswer: 651893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3382, -3381, -3378, -3373, -3366?\nAnswer: -3357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*i + 1. Suppose 3 = -i*n + 23. Suppose -n*m = -13*m. Solve k + d = 5*d - 4, 3*k - 2*d + 12 = m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 246 - 1246*b + 3.\nAnswer: -1246*b - 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14\/3109258699 + -503647051498881\/75785071529426. Let j = r - -5\/1741. Find the common denominator of j and (-730)\/(-132) - 4\/6.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/13 + 48*k**3\/13 - 330*k**2\/13 + 308*k\/13 + 2352\/13 = 0. What is k?\nAnswer: -2, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/22 and (-1)\/(-1) - (-572)\/(-144)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121843 + 7*r - 121843 - 7*r + 7*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202154 + 55345?\nAnswer: -102405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109886, -109767, -109652, -109541?\nAnswer: -109434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.384 - 806719494?\nAnswer: -806719529.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5351804 times -0.02\nAnswer: -107036.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b)**25*(b**1*b*b)\/b**(-1\/8)*(b*b**(-1))**(3\/14)*((b**1*b)\/b)**25 assuming b is positive.\nAnswer: b**(825\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003425 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 8 - n**2 - 14 - 8 - 2*n**3 + 7 in the form f*n**3 + i + y*n**2 + w*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 18498*l + 18768033.\nAnswer: -3*(l - 7053)*(l + 887)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r - 26*r - 79 = 0. Let h = r + -77. Suppose h*z = -4*q + 354, -2*z = -2*q - 330 - 54. List the prime factors of z.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-344)\/528 - 2\/11. What is the second biggest value in -1, -0.11, -1\/5, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, l: 3}. Give prob of sequence ll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + 87 + -7 - 44.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + 0 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:29 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r - 4. Suppose 5*s + 5*q - 20 = 2*s, 4*s - 21 = -q. Let b(g) = -7*g - 2. Let t(v) = 3*v + 1. Let o(m) = 2*b(m) + 5*t(m). Calculate s*o(y) + p(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77546 and 1160.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1945*i**2 - 27240*i + 140 = 0. Calculate i.\nAnswer: 2\/389, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 417*h**6 - 52*h**2 + 3*h wrt h?\nAnswer: 50040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, l: 1, a: 1, i: 1, v: 2, b: 1}. Give prob of picking 1 a and 2 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {v: 1, m: 6, e: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:49 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Calculate the remainder when (4 - 3)*-1 + 7 + 0 is divided by 4*(-2 + 3 - c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3093*a - 13413760 + 13413760 to the form u + r*a and give r.\nAnswer: 3093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from {x: 2, h: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 l, and 2 a when four letters picked without replacement from llslsqwalw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7641*u**2 + u. Let g(n) = -n. Determine p(g(c)).\nAnswer: -7641*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/2793 and -89\/3927?\nAnswer: 522291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1581 = 52*g - 333 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(2 + sqrt(72) + -3 + sqrt(72)))**2.\nAnswer: -2312 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3. Suppose 2*f - 2*x = l, -4*f - 3*x = -0*x - 35. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -41. Let c(o) = -61*o + 2096. Calculate the remainder when c(33) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18323 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0975 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418786169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-942)\/(-84) - 12\/56?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215518 is divided by 215416.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5071 - 3107. What are the prime factors of q?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3901258203 to the nearest integer?\nAnswer: 62460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28838 - -42041. What are the prime factors of i?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3539672.\nAnswer: 2, 17, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*k**2 + 4*k**2 - 11*k**2)*(6*k - 3 + 3 + 12*k) as p*k + n*k**3 + i + a*k**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548.0759 weeks to nanoseconds.\nAnswer: 331476304320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**4 + 1 - 83*a + 2*a**4 + 4*a**3 + 81*a + 0*a**2 - 2*a**2 as b*a + i*a**2 + j*a**3 + t + w*a**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252837260 divided by 12641863.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) 1\/3 (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 - 36*g**3 + 4*g**2 + 36*g.\nAnswer: -4*g*(g - 1)*(g + 1)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 4, t: 1, r: 3, m: 5, i: 6}. Give prob of sequence rtr.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 6. Let s be 5\/(20\/4)*1. Suppose d - 6 = 4*q + s, 5*q + 40 = -5*d. Sort d, c, 5.\nAnswer: d, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71899, -143811, -215723, -287635, -359547, -431459?\n\"Answer: -71912*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/51919 and -1\/3.\nAnswer: 155757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 306600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 671393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-768)\/24)\/((-2912)\/3185).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26248328903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -914690 divided by 12530\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-7) + (-3 - (-278)\/126). Let a = -895 - -889.91. Let k = 0.09 + a. What is the closest to -1 in x, 5, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60923 is divided by 926?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*v**3 + 70*v**3 - 14*v**3)*(1 - 1 + 1) + 5*v**3 - v**2 + v**2.\nAnswer: 91*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.14 and 2577474.77.\nAnswer: 2577474.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1700) + -5 + 1.\nAnswer: -20*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20659784.8 rounded to the nearest 100000?\nAnswer: -20700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**3 + 2*i**2 + 2*i + 1. Let r be g(-1). Solve -2*b = -r*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -n + 2*n. Suppose 5*c - n = 15. Factor c*v**3 + 1 - 2*v**4 + 4*v + 0 + 6*v**2 + 3*v**4.\nAnswer: (v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7.7. Let z = 0.24 - -0.06. Let r = t + z. Which is the smallest value? (a) 3\/4 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44.9 + -45. What is the closest to 3\/8 in b, -0.3, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/18 - (-2)\/9. Let q(i) = i - 3. Let o be q(f). Let d = -256914 - -256909. Which is bigger: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 + 24*o + 10. Determine b(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.46 - 6.34. Let i = -9.2 - k. Which is the second biggest value? (a) i (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(-21*2\/(-1610))*(-180)\/(-180)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 422156.133 - 422374. Let m = 218 + y. Round m to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -2.22?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**3 - 68*n**2 - 27*n - 16. Calculate b(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n + 4*n + 2*n + (-n + 0*n - n)*(12 + 31 - 8) in the form k + v*n and give v.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -8.7. Which is the smallest value? (a) -5 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6484773159 and -0.2?\nAnswer: 6484773159.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 1375?\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0*h**3 + 11\/270*h**5 + 2*h**2 - 5\/108*h**4 + 8 + 0*h - 7\/540*h**6 + 1\/945*h**7. Solve j(c) = 0 for c.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 296 < 909621\/3061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -271.61035 rounded to one dp?\nAnswer: -271.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 3*c**2 + 4*c**2)*(1 + 7*c - 1).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 101*c - 235. Give q(3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*g = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**6*u**3 - 1681629*m**3*u**3 + 2*m**2*u**3 - 2299*m*u**3 + 3105*u**3 wrt m.\nAnswer: -120*m**3*u**3 - 10089774*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2568 divided by -107.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 157*x**2 + 265*x - 9440. Give b(-159).\nAnswer: -1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -1037*j**4\/12 - j**3\/3 - 22*j**2. Let a be s(-1). Let f = a + -1449. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196.04526 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + sqrt(5) + 2))**2.\nAnswer: 224*sqrt(5) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32208824.\nAnswer: 2, 4026103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*c + 1406 = 0, -2*t + 5*t = 3*c + 1077. List the prime factors of t.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11011101?\nAnswer: -11011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 + -134. Is u\/((-20990)\/(-6998) + 1 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(9\/(-7) - 3))\/(-2 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 - 5*j**3 - 11*j**3 - 10*j + 4*j**2 + 14*j**3 + j**4 as t*j + h + g*j**3 + a*j**2 + d*j**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 998\/43 - 2039\/86. Which is the fifth biggest value? (a) -5 (b) 0.5 (c) 835 (d) 0 (e) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m - 1. Let k(q) = 4*q**3 + 3. Let f(g) = g**3 + g**2 + g. Let x(h) = -3*f(h) + k(h). Suppose -3*n - 12 = -n. What is n*z(o) - 2*x(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7473*y + 133208 = -11283*y - 12841*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:22 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 10*a - 2. Let j be r(9). Let f(t) = t + 13. Let i be f(j). Let l(p) = 10*p - 1. Is l(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -1*sqrt(11)*5 + ((sqrt(99) - sqrt(99)*3) + sqrt(99) + sqrt(99))\/sqrt(9).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(13\/6)\/z)\/z*z\/(z\/(z**(-6)*z)))\/(z**7\/(z**34*z)))**(-36) assuming z is positive.\nAnswer: z**(-870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + (2 + -10 - -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -401.788 - -401.688. Let f = 1.46 - -0.04. Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-140)\/(-65) - (2\/(-17) + (-420)\/(-1547)). What is k in 24\/7 + 2\/7*k**i + 16\/7*k = 0?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -7. Let z = 1 - 0.9. Let q = 2123 + -2123. Which is the nearest to q? (a) -4 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 118 + 121 - 2*h in the form b + r*h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/132 and 121\/18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6c (base 13) to base 4\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143294, 286584, 429874, 573164?\nAnswer: 716454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 148\/111*(3258\/4)\/3. Suppose 0 = 5*d - p + 62. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 63. Give p(26).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3402*k + 29 - 5 - 33 + 9.\nAnswer: 3402*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -185 + 98 + (16 - (-18 - -1)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g. Let n(c) = -16*c. Let a(b) = -10*m(b) - 2*n(b). Let y(t) = -5*t**2. Give a(y(p)).\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*f + w - 1, 4*w = 4. Suppose 33 - 111 = -f*y. Suppose -y = 3*t + 37. Are -21 and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/69*(-6)\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((547\/4923)\/((-8)\/(-54)))\/((-1)\/(132\/3))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + -1 + (-42)\/11. Let r be (-1170)\/36 - 4\/2. Let c = r + 34. What is the second smallest value in 2\/35, a, c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2 - 12\/(-4)). Suppose -22 = 4*t - 7*t - 5*j, -4*t = -z*j - 8. Solve -3*c - t*u - 12 = -u, -10 = 3*c + 2*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*k - 16*k + 48*k**3 - 7*k - 19*k + k**2.\nAnswer: 48*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4168 - 3961. Calculate the highest common divisor of i and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -1\/6, 918, -4, -2, -0.68?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q**2 - 7*q**2 - 102 + 48 + 7*q**3 + 46 to m*q + y*q**2 + a*q**3 + v and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279143 divided by 1.\nAnswer: -279143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*w + 38, 10 = -3*w - 2. Let p(x) = 4*x + g*x - 19*x + 2*x. Let o(s) = 57*s. Determine p(o(f)).\nAnswer: -228*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1396 - 1384. What is the remainder when 77 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.55 - 0.45. Let j = u - -42. Let o = 21 - j. Which is the third smallest value? (a) 18 (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15 = 1. Let n(a) = 0*a**3 - a**3 + 4*a**2 - 4*a**3 + l*a**3 + 4. Suppose 3*c + 23 = -t + 6*t, 2*t - 5*c - 13 = 0. Determine n(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -73. Suppose 0 = 4*a - 0*v + 2*v - 56, -5*a + 5*v + s = 0. Suppose w + 160 = 6*w. What is the remainder when w is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 + -76. Suppose -u + 11 = 3*v - 18, -v + 4*u - 12 = m. Solve -d - 3*d = -v, 0 = 5*l - 4*d + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 12*u + 3. Let t be g(4). Solve 4*p + 3 = t*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 18 - 9 + 0 + 3*g. Let c be (-22 - -15)*((-8)\/7 + 2). What is k(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 12. Let k be q(11). Let t = 7 + k. Let s be 2\/4 - (-11)\/2. What is the greatest common factor of s and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 3*d - 3. Let t be n(-3). Let v(b) = 3*b - 1. Let x(m) = m. Let l(h) = -65*h**2 - 6560*h + 504. Let f be l(-101). What is f*v(u) + t*x(u)?\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11345138039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 6*s + s)*(3 - 6 + 4)*(-3 + 4 + 1).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1712*16.4\nAnswer: -28076.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 94405662 divided by -1949?\nAnswer: -48438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**6\/120 - q**5\/60 + 3*q**3\/2 - q**2. Let y(c) = -c**2 - 3*c + 10. Let g be y(-5). Suppose g = -4*j + 9*j. Determine o(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/91*4)\/(11\/7*-2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z*z\/(z*z*z**5))))\/(z\/z**(-3\/7))*((((z**(-1\/2)\/z*z)\/z)\/z*z)\/z)**(-4\/11))\/((z*z**(-2\/3)*z)**(-11))**(1\/5) assuming z is positive.\nAnswer: z**(-1832\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -4 + 5 + 10. Let u(c) = 15*c**2 + 0 - 2*c**2 + d*c**2 - 2 - 4*c. Is u(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-4))\/(1\/(-4)). Let j be -2 + p\/((4\/(-8))\/(-1)). Suppose j = -46*f + 41*f + 130. What are the prime factors of f?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - 1) + (-9)\/3 + 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(504) + sqrt(504))\/(sqrt(7) - -5*-4*sqrt(7)).\nAnswer: 6*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 39. What is d(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 1. Let t(m) = -5*m**2. What is l(t(h))?\nAnswer: -5*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-10 + (11 - 9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkzezzqqzqqkqnezzz. What is prob of sequence ke?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -121244200 (base 7) to base 5\nAnswer: -3414333344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -39 + 16 - -60) + 27?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -139516200 rounded to the nearest 1000000?\nAnswer: -140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-108)*-6 - 1. Suppose -80 = -5*n + 50. Let l = -27 + n. Is a bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z**6 + 0 + 0*z**3 + 1\/336*z**8 + 1\/8*z**4 + 0*z + 0*z**5 - z**2 + 0*z**7. Find the second derivative of n(g) wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12481 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136105255?\nAnswer: 5, 11, 13, 190357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -1\/5, -4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 20 = 0. Suppose l*d = d. Suppose 3*x + d*x = -4*u + 35, 4*u + 4*x - 32 = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**3\/3 - g + 30. Determine f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/105)\/(20\/14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921 > 3680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - 4) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 - 10*o**4 + 44*o**3 - 32*o**2 = 0. What is o?\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + (-30752)\/(-384) + 551\/12 + 1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42031 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Let b(n) = -21*n**2. Let p(k) = 2*b(k) + 22*y(k). Let u(m) be the second derivative of 5*m**3\/6 - 40*m. What is p(u(q))?\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 64*j + 70. Let y be n(33). Let x(d) be the first derivative of -1\/8*d**y - d + d**2 - 1\/4*d**3 + 1\/20*d**5 - 13. Factor x(h).\nAnswer: (h - 2)*(h - 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = -4. Let r = j - -7. Let l(o) = -o**3 + 10*o**2 - 9*o + 13. Is l(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/2 - (166\/(-498))\/((-2)\/(-9)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 2530*i**2 + 398160*i.\nAnswer: -5*i*(i - 126)*(i + 632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 47 - 44*w**2 - 1355 + 154 - 1054 - 1550*w - 702*w = 0.\nAnswer: -552\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1194902 at most as big as -1194908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 20. Let c be (0 - 23\/d) + -1. Is -1 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = u + n - 6, 0 = -5*u + 5*n - 30. Sort 0, -23, -4, u in decreasing order.\nAnswer: 0, u, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 + -132. Let x be 2*(2 - 3)\/(-4 + t). Which is greater: -2\/375 or x?\nAnswer: -2\/375","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.04 + -0.04. Let i = -10 - -9. Sort i, j, -2\/11.\nAnswer: i, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 + -3.29. Let y = 397.11 + l. Let r = y - 394.331. What is r rounded to 2 decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 451 smaller than 449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 smaller than -555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 794494.9 to the nearest 100.\nAnswer: 794500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n - 50. Let h be y(-8). Let s be ((-6)\/60)\/(h\/12). Find f such that 2\/5*f**2 - 1\/5*f**4 - 1\/5 - 6\/5*f**3 + s*f**5 + 3\/5*f = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -10454, 0.\nAnswer: -10454, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8\/5))**(-1\/14) assuming h is positive.\nAnswer: h**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 27180674?\nAnswer: -27180676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/18 - 24\/(-18)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2268 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 534 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 140000135?\nAnswer: -140000131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/3, -1\/4, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 + 2*w + 72. Let c be v(0). Suppose 3*m = c + 30. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 776016 and 339507?\nAnswer: 5432112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-68 + -6 - -70)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-6)\/(-3))*0. Suppose -2*d + 3 + 5 = t. Suppose 0*n + 2*n - 52 = -d*w, 4*n + 6 = 2*w. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 240\/252 + 4\/(-6). Which is the nearest to 1? (a) 0 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-6996)*(-6996)\/(-36)\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.75447 rounded to 0 dps?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1049680 divided by -20\nAnswer: -52484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -16. Let i = d - 10. Which is smaller: -3\/5 or i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001099485 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 + 6 = 2*a, -5*t - 25 = 5*a. Let n(u) = -12*u + 4. Let s be n(t). Suppose 2*y - s = 4*w - 2, -2*y - 2*w = -38. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8518.03 + 8518. Let u = -1 - 0. What is the closest to p in u, 1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81030756 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -19.69?\nAnswer: 19.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - q + 15, q = 5*i - 25 - 0. Suppose -i*z + 482 = 22. List the prime factors of -2 + 0 + z + -1.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -2 + (sqrt(153)*-2 - sqrt(153)) + -4)**2.\nAnswer: 72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55008 and 43548?\nAnswer: 1045152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 6807066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*o + 501*o + 31017 + 50729 = 0. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 51. Let m(t) = 5*t - 7. Let c be m(h). Let i be (-6)\/(0 + (c - 2)). Which is greater: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673, 674, 675, 676?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24987 + -24755. Calculate the remainder when 6724 is divided by n.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 + 11\/(-15). Let m = -19.6 - -13.6. Let v = 6 + m. Is v at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 1. Suppose 0 = 3*v - 5*v - 10, 4*f + 10 = -2*v. Let w = f - -3. Determine z(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 445*m**2 + 1663*m**2 + m**3 - 101*m**2 - 2247*m**4 + 688*m**4 wrt m.\nAnswer: -37416*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 4\/22 - 20502\/(-374).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1459488, 1459494, 1459502, 1459512, 1459524, 1459538, 1459554?\n\"Answer: o**2 + 3*o + 1459484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {e: 6, h: 1, i: 1, c: 3, d: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87841138 by 8393.\nAnswer: 10466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 184318663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**4 - r**4 + 4*r**4)*(-4 + 3 - 1)*(2 + 1 - 4).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*j = 5*j + 17, 0 = f - 5*j - 29. Suppose -f*c = -110 - 90. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + 36. Is s a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.853 in 1\/7, 5, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27\/11 + 4\/33. Let f be 5 + -1 - 114*(-12)\/18. Let j be (-7)\/(1092\/f) - (-6)\/(-39). What is the closest to b in 1, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 639090960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(18)\/sqrt(6))**2 + 0 + 1 + sqrt(3))*5.\nAnswer: -45*sqrt(3) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 4*z + 7. Suppose 11 + 5 = 4*h. Suppose -h*v + 9 = -3. What is the tens digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-44 - (-54 - -10))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 1188*y - 117612.\nAnswer: -3*(y - 198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {i: 6, n: 4, d: 3}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v + 9. Let u be m(19). Let h = u - 80. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*p - 4*j - 36, j + 9 = -p. Let c(q) = 5*q + 29. Let v(g) = 3*g + 19. Let b(y) = 5*c(y) - 8*v(y). What is b(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**2\/3 - 52888*z\/3 + 1443364 = 0.\nAnswer: 82, 52806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 5, i: 1, u: 6, c: 2}. What is prob of sequence hu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 48.\nAnswer: -4, 0, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -260ba1?\nAnswer: -260ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*q - 610 - 1285 = 954 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -1\/30*z**5 + 2*z**2 + 1\/300*z**6 + 0*z**4 + 76 + 0*z**3 + 0*z. Solve x(n) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 10) to base 14\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = -5*q + 20. Let y = 33 + q. What is a in 19*a + 11*a - 49*a + 8*a**y + 13*a - 2*a**3 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*39\/(-26)*-2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13673 is divided by 1139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(891)*2)**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1255 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.019, -11, -131207?\nAnswer: -131207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 3:25 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-349)\/(-16) - 4884\/222\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 155, 370, 681, 1094, 1615, 2250, 3005?\nAnswer: 3886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 5:33 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g, 0 = 5*r - 3*g - 30. Let h be ((-54)\/(-6) - 7)*9\/r. Sort 0.17, -2\/11, h, -3.\nAnswer: -3, -2\/11, 0.17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(15*g + 61*g - 14*g - 20*g).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c. Suppose -2*s + 20 - 4 = c. Let k = s - 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (117282\/(-4))\/(1\/(-3532)) + 8 + -14. Round r to the nearest 1000000.\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*y**2 - 637*y**4 - 638*y**4 + 1273*y**4 - 5*y to c*y**3 + b + j*y + i*y**4 + n*y**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 5580336*r + 2595012489408.\nAnswer: 3*(r - 930056)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 94413, 0, -14 in ascending order.\nAnswer: -14, 0, 94413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4\/9 (c) -3 (d) 0.0416\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465\/780 - ((-44)\/(-52) - 1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h. Suppose b + 3*b - 136 = h. Suppose 2*d = 3*w - 40, -2*w + 0*d + 2*d + 28 = 0. What is the remainder when b is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10582 - 10564. What is the highest common divisor of 61002 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/60 - 5*s**2. Let r(i) = -2*i**2. Calculate r(q(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 287, 294, 301, 308?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 7*a - 3*a. What is the greatest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let o = 5 - j. Suppose 2*u - o - 10 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9203\/44 + 841\/4. Let t = h + -158\/165. Let n = 4\/15 + t. What is the nearest to -1 in 5, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**5\/20 - 2*o**4\/3 - 7*o**3\/6 - 12*o. Let z be w(-7). Does 13 divide (z - (-13)\/(-4))\/(1\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 - 6*d**2 + 3*d + 134. Let v(b) = b**3 + 2*b**2 - b - 45. What is -4*q(z) - 14*v(z)?\nAnswer: 2*z**3 - 4*z**2 + 2*z + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 + 548 - 33*l**2 - 134 - 17*l**2 - 213.\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164472 + 37884 = 154*z. What is the remainder when z is divided by 165?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 63.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6528 and 37\/4.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122456 is divided by 390?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2088 + -1058. List the prime factors of w.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 4 (c) -218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80292 + -25777. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -5398031\nAnswer: 1\/234697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3645 - -0.0055. Let s = 170.37 - c. Let o = s - 168.0143. Round o to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7825430?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-17399 + 99*i - 17377 + 52055 - 17451).\nAnswer: 198*i - 344","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 25. Let a(p) = 12*p**2 + b + p + 5*p - p**2 - p. Is a(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 63720716 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(2*sqrt(539)*-1 + sqrt(539) - (-1*sqrt(539)*4 - sqrt(539))))**2*-1.\nAnswer: -137983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120497186.5 rounded to the nearest one hundred thousand?\nAnswer: 120500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52460892 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 99*x + 104. Calculate s(98).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 914, 1344, 1772, 2198?\nAnswer: 2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((3 + 1 + sqrt(85)\/(sqrt(5) + sqrt(500) + -2*sqrt(500)) + -5 + sqrt(17)*-2*5)*4)**2.\nAnswer: -4507456\/27 - 5824*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*t**4*x - 102*t**2*x - 798*x wrt t?\nAnswer: 12*t**3*x - 204*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 452952 and 8516616?\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24751, -50235, -76439, -103363?\n\"Answer: -360*q**2 - 24404*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 332040736?\nAnswer: -332040735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450373990 and 1195?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -34. Suppose -15*t - 4 = -y*t. Suppose t*w - 40 = -0*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaia when four letters picked without replacement from {a: 9, i: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120300 by 3.\nAnswer: 40100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018315672 to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 406*r - 403*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6085.44 at least 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*c**4*n**2 + 5*c**3*n**2 + 470*c**3 + 3797*c**2*n - c*n**2 + 20*n wrt c.\nAnswer: -1224*c*n**2 + 30*n**2 + 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let i(k) = 517*k**2 + 5*k. Determine n(i(c)).\nAnswer: -1034*c**2 - 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*u + 6*u. Let a(w) = -9 + 3 - 10*w + u*w + 6*w. What is a(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 8. Let g(v) = 2*v + 10. Let p(o) = 5*g(o) - 6*y(o). Determine p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.068691 times -5.65\nAnswer: -0.38810415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**3 - 9*v**2 - 4. Let h be b(3). Let r = h - -287. Solve -2 = -2*x + 3*k + 21, -5*x + r = -4*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -453, -352, -223, -66, 119, 332?\n\"Answer: 14*n**2 + 59*n - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 212*c**2 - 225.\nAnswer: 424*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 + 4 + 4*j**2 + j**2 wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 936804473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*s**3 - 165*s**3 - 304*s**3.\nAnswer: -686*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 1, 5, 11, 19, 29, 41?\n\"Answer: o**2 - o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 11. Suppose v - 6 = -0*v. Let r(i) = i**3 - 5*i**2 - 8*i + 5. Let d be r(v). Let t(j) = j + 16. Calculate d*h(n) + 5*t(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from aath.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -208 + 213 - 2*j + 4*j. Let w be h(-3). Let b(s) = -8*s. Give b(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 330*p**2 + 322*p - 978. Does 174 divide j(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/8)\/(33\/(-22)). What is the smallest value in -3, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 0 + 67)*(z**4 - 2*z**2 + 3*z**2 + 0*z**2) in the form y*z + o*z**2 + t + a*z**4 + r*z**3 and give o.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lssl when four letters picked without replacement from slsls.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -206, 1 in decreasing order.\nAnswer: 1, -3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238979160 by -51660.\nAnswer: 4626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 11 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -10*o**3 - 560*o**2 + 65*o + 3648. What is r(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*w - 7*w, 5*k + 7 = w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = z - 0 - 2, -3*n - 4*z = -8. Solve n = r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000044228 to 7 decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/15 - 23*s**4\/3 + 628*s**2. Let n(l) = 0. Calculate l.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -a - 9, j + 0*j - 3*a + 1 = 0. Let o be j\/6 + (-104)\/(-12). Suppose 11*k - 78 = o*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/60 and 1\/1250.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 - 11022?\nAnswer: -11053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*y = -10398, 3*y - 41657 = -125*t + 121*t. List the prime factors of t.\nAnswer: 2, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8269967 centuries to months.\nAnswer: 992.39604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 - 4*b. Let f be x(-3). What is the second derivative of h - 3*h + f*h + 3*h**3 wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/((-77)\/105)*33\/6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (5 - (-5 + 3 - -3))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 482 + -475. Calculate the remainder when 65 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-170)\/(-21) + (-58)\/609 - -9. Solve a = -k + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r. Let o(u) be the third derivative of 0*u**4 + 0*u + 4*u**2 + 0 + 0*u**3 - 1\/60*u**5. What is o(t(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 77, 62, 39, 8?\n\"Answer: -4*w**2 - 3*w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 760303473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 10 = -5*q, -3*t = -2*q + 2*t + 23. Let n be (q*38 - 3)*-41. Let i = n - -5419. What is i rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 512 + 35*w**2 - 756*w + 60*w**3 - 21*w**2 + 2*w**4 + 372*w**2 - 204*w.\nAnswer: 2*(w - 1)**2*(w + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/(-41))\/((-2)\/10*-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 3887695?\nAnswer: -2\/555385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.8 - -25.5. Let l be (-1)\/3*16*-3. What is the biggest value in h, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggmgnmmcmnnccggc. Give prob of picking 3 m and 1 n.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by 138.\nAnswer: -44\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-456)*(-1 - 2). Let x be 1\/(-1 + 2 + 0). Which is bigger: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00227262 rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, u: 1, y: 6}. What is prob of picking 1 h, 1 u, and 1 y?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -328\/9 (b) -1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.018.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850718563?\nAnswer: 850718563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 41 + 3. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 3*a**2 + 3*a + 6. Let h be z(-3). Let t(s) = 2*s + 7. Let r(k) = 105 - 230 + 117 - 2*k. Give h*r(f) - 4*t(f).\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.15 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-9) + (4936\/24 - 2). Solve j*y = 201*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 - -152.5. Let x = 7.5 - j. Which is the nearest to -4? (a) x (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3779.9 to the nearest 100.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)\/sqrt(4))\/sqrt(2)*-3)**2 + sqrt(2736) + (3*sqrt(2736))**2*3.\nAnswer: 12*sqrt(19) + 74043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -6*h - 40. Round h to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 91*y + 635. Give c(36).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 13*y - 7*y - 20, 2*w = 5*y - 18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4416\/25 or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9413*h**2\/5 + 4*h\/5.\nAnswer: h*(9413*h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*x + 18 - 23 = 0, -4*x = -2*b + 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:26 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, u: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*4 - 1102\/145. Which is the fourth biggest value? (a) 80\/3 (b) o (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3 = 5*i, 1 + 0 = -v + 3*i. Suppose -5*u - 3*z - 208 = 0, 4*u - 3*z + 159 = v*z. Is u greater than -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36155 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -12592992 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938667 is divided by 6753?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4139969 and 6065?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4061 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r**2 - 4*r + 7. Let i(s) = -6*s**2 - 2*s + 3. Calculate 7*i(y) - 3*p(y).\nAnswer: -3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111 - 1000?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r + 10. Let g be f(-8). Is g*(8 + -3)\/(-5) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 75.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.1. Let g be 1\/((-9)\/(-7)) - 2\/2. Let y = -1.3 - -1. Which is the closest to 3\/2? (a) g (b) y (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003345 to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (19 + -17 + 4)) + -12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 11 = m, 4070*u + 2 = -3*m + 4071*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533*h + 4*h**2 - 2*h**2 + 33 + 9.\nAnswer: 2*h**2 + 533*h + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 216017184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18199288 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.551010928 - 2.551. What is p rounded to 7 dps?\nAnswer: 0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 3*g - 3. Suppose -23*z + 10*z + 12*z - 3 = 0. Let q(k) = -5*k**2 + 5*k - 5. Let m be (-1)\/(0 + (-1)\/5). Determine m*d(h) + z*q(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e - -68b?\nAnswer: 64c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 21. Let b(k) = k**2 + 4*k + 1. What is b(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2438103.\nAnswer: -2\/2438103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4828 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.26, -5, -16, 19\/3, 0.5, 0, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4652517.22 to the nearest 1000.\nAnswer: 4653000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12721 + -12733. Let a = -3 + 2. Put a, d, 0 in decreasing order.\nAnswer: 0, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 76*z**2 - 417*z + 845. Give w(81).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1293, 756, -1629, -5862, -11943?\n\"Answer: -924*r**2 + 2235*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 19618*x - 19581. Give t(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75\/4 of a gram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339, -671, -1003?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -11*i**4\/2 + 6*i**3 - 7. What is the third derivative of u(c) wrt c?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l - 22. Let a = l + 20. Let u be -8 - -6 - 4\/a. Is u < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/8)\/(27\/88*170\/765).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -909?\nAnswer: -90.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.08, -1, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:50 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/126 + -53\/126. Which is the fourth smallest value? (a) -0.4 (b) u (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2391487 and -58\/21?\nAnswer: 7174461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.454998883 + -2.455. What is o rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*l - 2, -5*l = 5*w - 523 + 518 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 1133*i - 27646. Give l(-23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4052 to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.2996 years in months?\nAnswer: 1179.5952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277178356*b**4 + 15479431*b - 9.\nAnswer: -3326140272*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7113, -56770, -191479, -453744, -886069, -1530958, -2430915?\n\"Answer: -7084*m**3 - 22*m**2 - 3*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -228? (a) 0.3 (b) 1.3 (c) 6.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-680)*-68*(18\/(-2))\/(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376 divided by 188.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*i - 60 = 0, 5*o + 4*i - 220 = -0*o. Suppose 0*p - 4*p = o. Let v be ((-6)\/12)\/(1\/p). Solve 0 = h - v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*r = -234, -1215 = -5*u - 5*r - 0*r. Let o be (9 - 21) + 2*184. Let z = o - u. Does 34 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3400 + -110241?\nAnswer: -114041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 24, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*i + 345 = -770 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 113. Let z be (-30)\/(-8)*n\/42. Solve -z*d + 7 = -k, 4*d - 20 = -5*k + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -62*a**3 + 5*a**2 - 2*a + 1. Let o be r(2). Is o at most as big as -491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**2 + 1\/24*q**4 + 0*q**6 - 1\/70*q**7 + 0 + 0*q**5 + 0*q + 0*q**3. Find the second derivative of a(r) wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, -480, -3, -5 in decreasing order.\nAnswer: -3, -5, -139, -480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(325) + 2*sqrt(13) + -1.\nAnswer: -1 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = f - 24. Suppose 232 = 17*r + 181. Solve i - 25 = 5*u, r*u - i = -f*i + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3, 20\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 44 - 18 = 0. Suppose -r = -k - 2*k - d, -1 = -2*r + k. Sort -3, 1, r in ascending order.\nAnswer: -3, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -1)\/(1\/42). Suppose -3*a + 0*a = -p. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 93887050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i - 4*j - 110 = 0, -4*j = 5*i + 299. Let d be (-24)\/i + 4\/(-14). Let n be (3\/(-27))\/(16 - 15)*(-12)\/4. Sort d, -1, 10, n in ascending order.\nAnswer: -1, d, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(7) + 0 + sqrt(720))*-3 - (-4 + 4 + sqrt(5)*-2)*-2.\nAnswer: -46*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + 2 - (-1 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 + 288*s**2 + 252*s - 45. Give h(42).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 1) + (-148 - -133)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/((-15215)\/170 - -89).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98023.24 centuries in decades?\nAnswer: 980232.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*h = -0*l - 12, l + h = -3. Suppose l*m + 12 = m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/2 - 177545*z\/2 - 28547493 = 0 for z.\nAnswer: -321, 177866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 106 + 818. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.08 (b) 0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325\/78*((-2142)\/(-140))\/153.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2691 is divided by 738?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 24\/127?\nAnswer: 24\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/9103 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -21\/33214999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/60 + p**4\/24 + p**3\/3 - 4*p**2. Let x be 49\/(-21) - 11\/(-33). What is m(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6518 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 537752.8 years in centuries?\nAnswer: 5377.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 13 - (5 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 378711829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7}. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1309*u**2*w**3 - 300*u*w**3 + 36*u*w wrt u?\nAnswer: -2618*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9850322.81 to the nearest 100.\nAnswer: 9850300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + bd6?\nAnswer: c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11286977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1119373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/7 + 216*n**2\/7 - 2775*n\/7 - 2988\/7.\nAnswer: 3*(n - 12)*(n + 1)*(n + 83)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 745*y - 871*y + 2898 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(2 - (18\/3 + 76)) is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 0*t**2 + 0*t**2. Let o(a) = -16*a + 7. Let l(y) = -7*y + 3. Let r(c) = -14*l(c) + 6*o(c). What is f(r(z))?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/20871?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m - 217. Let k be a(28). Suppose 5*n + k = 358. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {c: 4, w: 4, n: 2, r: 8, s: 2}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -a - 0*a - 3, -3*i = 4*a + 12. Let s be i\/(6\/(-3) + 0). Solve -x = -s + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -42. Suppose p + 23 = 4*v. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 - 0?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4916 - 6e6c?\nAnswer: -2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*c**2 - 21*c**2 + 33*c**2 + (-c + 3*c - 4*c)*(-4*c - c - 6*c) in the form q + s*c + k*c**2 and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2318, -11, -2, -5, 4 in descending order.\nAnswer: 2318, 4, 1, -2, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 21561 + c - 6*c - 21561. Let i(g) = -4*g. Determine i(b(k)).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*m**3 + 34*m - 9*m - 25*m.\nAnswer: -477*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqyxtqqqtxxxttqqyqy. What is prob of picking 2 q?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2949119 or 2949117?\nAnswer: 2949119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 23, -5, 1, -83, -1 in descending order.\nAnswer: 23, 7, 1, -1, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/105*5*-3*2. What is the fourth biggest value in 28, n, -0.3, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/6 and 111\/266?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 3*t + 48*t - 31 - 2 - 21.\nAnswer: 3*(t - 1)*(t + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = -19. Let k = 8 - z. Let w be ((0 - -5) + (-69)\/12)*72\/(-1269). Is w less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgggkukukbukkukkkkk. Give prob of picking 2 g.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -20*p - 65. Let g be r(-6). Let u = -2\/253 - 4\/23. Sort 4, g, u in descending order.\nAnswer: g, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -209*i + 212*i + 17 - 2. Let g(q) = -5*q - 22. Calculate 5*g(m) + 8*w(m).\nAnswer: -m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(110))\/sqrt(10) - sqrt(11)*-1*6) + (4 + -2*sqrt(539))**2 + -2.\nAnswer: -108*sqrt(11) + 2170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1875, -5, 875.\nAnswer: -5, -1, 875, 1875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(2\/13))\/h**(-3\/2))**(-2\/43))**36 assuming h is positive.\nAnswer: h**(-2484\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 324\/7 + (-25)\/((-3850)\/(-44)). Solve 151 - i = -35*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 150?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2)*-1 - sqrt(2)) + (sqrt(17) - (sqrt(17) + sqrt(119)\/(-6*sqrt(7)))).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6375 and 60?\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) 76\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqhwywhhhschcsh. What is prob of sequence hh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-11)*n**(-27))**(-1\/3))**(-50) assuming n is positive.\nAnswer: n**(-1900\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500*-41.\nAnswer: -20500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o + 3. Let w be b(-1). Let n(a) = -a**3 - 8*a**2 - 15*a - 15. Let x be n(w). Solve 0 = -x*u - f - 0 - 1, -u + 3*f - 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) -6 (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let w(j) = -2*j**2 - 13*j. Let i be ((-8)\/(-2))\/((-12)\/18). What is i*v(q) - w(q)?\nAnswer: 2*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 - 2. Let i(p) = 4*p**2 - 1. Let r(z) = -4*f(z) + 5*i(z). Let q(g) = 9*g**2 + 7. Let x(c) = 3*q(c) - 7*r(c). Let o(d) = -3*d**2. Give o(x(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*((-121905)\/(-90))\/63.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.24 - -1.74. What is the third smallest value in a, 13, -5\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -852, 103, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/255 and 38\/9401.\nAnswer: 141015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 51 + 2 + (-9 - -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 843660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 - 22*d**2 + 0*d**2 + 9*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18*(-2133)\/(-158).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43179114 is divided by 173410.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)\/q**6*(q*q*q**(5\/3))\/(q**0\/q))**(-28) assuming q is positive.\nAnswer: q**(280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -7.903?\nAnswer: -31.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/575 - 6262\/12075. What is the second smallest value in s, -3, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 5) in base 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 plus -19761?\nAnswer: -19764.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.6. Let y = 0.65 - 0.354. Let h = y + g. What is h rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 128030, 129317, 130602, 131885, 133166, 134445?\n\"Answer: -h**2 + 1290*h + 126741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 2, i: 6, t: 1}. What is prob of picking 2 i and 1 l?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5472269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -592228.103 rounded to the nearest 100?\nAnswer: -592200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (693\/165)\/((-24)\/(-4)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 1 - (7 + -10)) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 12:58 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -24*s + 178. Give j(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let n(v) be the first derivative of v**4\/3 + 2*v - 4. Let b(o) be the first derivative of n(o). Calculate b(c(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 3, s: 2, q: 4, g: 1, l: 1}. Give prob of picking 1 q, 1 d, and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 370, 568, 784, 1024, 1294?\nAnswer: 1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 30 = -14. Let z be k*(-1)\/10 - (-27)\/(-5). List the prime factors of 2 - z\/(20\/696).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 6:12 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3538)\/(-58))\/(-732))\/(((-10)\/(-9))\/2)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 100\/45*-1 - (-9 - (-2 + -5)). Which is the nearest to v? (a) -5 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.6 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 - 24 = 0. Let j be (z\/(-10))\/(-4*4\/(-440)). Let x(k) = -k**3 + 7*k**2 - k - 8. Let d be x(6). What is the highest common divisor of j and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + 1*sqrt(384))\/(sqrt(60)\/(sqrt(20) - sqrt(5))).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 9*h + 28. Suppose -v - 65 = -2*d, -d = -h + 3. Let c = 129 + v. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 5*r + 3*r)*(3 - 3 - 1650*r - 175*r + 284*r).\nAnswer: 3082*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-20 + 4)\/4. Suppose 393 + 9 = p*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*q + k - 2 = 0, 18 = -5*q + k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1250 and -0.1.\nAnswer: 1249.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 69 = -0*c + w, -w = -2. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u - 7. Let b be j(-3). Solve -16 = b*m + 2*f, -2*m + 5*f + 3 = -2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 4*c + 2. Let w(i) = -i + 1. Let t(x) = -2*u(x) + 4*w(x). Let t(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 12*z - 33. Factor -15*x**4 + 11*x**3 - 9*x**2 + 35*x**3 + 3*x**5 - 25*x**z.\nAnswer: 3*x**2*(x - 3)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(-1 + -1*((-2*sqrt(500))**2 + -2) + 1)*-6*3.\nAnswer: -863136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 - -51) + (2 - -8) - 24?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*m**2 - 22*m**2 + 26*m**2 - 58*m**2.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -4*c + 101. Let z(p) be the third derivative of 0 + 0*p + 1\/80*p**5 - 1\/96*p**4 - 1\/160*p**6 + 0*p**3 - c*p**2 + 1\/840*p**7. Factor z(t).\nAnswer: t*(t - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 1)\/(-2 + 1). Suppose 0*t - b = -t. Suppose 0 = t*x + x - 21. What is the remainder when 20 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39462 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 12, 4*a - 19 = -3*k. Let o be (-8)\/(k\/((-4)\/8)). Suppose 2*x = l + 11, 0 = o*x + 5*l - 4 - 11. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 - 20817\/(-12))\/((-66)\/(-176))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05253 rounded to 3 decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28\/3 - (-5 - 64\/(-12)) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 7:17 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - (1 + (sqrt(98)*-4 - sqrt(98))).\nAnswer: -1 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from lwlqlqilf.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23030725.98 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 159355 and 8785.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*k + 22, -3*k + r + 2 = -15. Suppose 5*q + k = 19. Let x(y) = -y - y + q*y. Let c(w) = -2*w. Determine c(x(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000755229 rounded to seven decimal places?\nAnswer: -0.0000755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, 26, 101, 238, 455?\n\"Answer: 3*h**3 + 4*h**2 - 2*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -508? (a) -521\/3 (b) 5 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2408048774?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4235?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 8 = -26 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-8))\/(4 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13446 = -88024*w + 87858*w for w.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -9, 62, 1\/4, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 15*m**2 - 1. Let c(d) = -5648*d**3 - 184*d**2 - 142*d + 12. Let s(l) = c(l) + 12*k(l). Find the third derivative of s(h) wrt h.\nAnswer: -33960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/128 and -46\/97?\nAnswer: 12416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 13*w + 20. Give j(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2*t*x - 29*r**2*t + 8376*r*x + 50624*t*x + 2*t - x wrt r.\nAnswer: -2*r*t*x - 58*r*t + 8376*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/2 (b) 1327\/3 (c) -3 (d) -3\/121 (e) 1\/3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqooqqoorqoq. Give prob of sequence qr.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from mcppppvcm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111520 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*a + 3*a. Let r(i) = -2*i**3 - 2*i**2 - i - 6. Let k(d) = d**3 + d**2 + 1. Let n(l) = a*r(l) - 4*k(l). Let p = -8 - -6. Calculate n(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Suppose 4*q + 2 = y*b, 5*b + 4 = 2*q - 16. List the prime factors of (-38)\/8*(b + 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 478.\nAnswer: -5\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288156 is divided by 65.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/30 - 8*s**2. Let r(b) = 5*b**2 + 4. Let a(l) = 5*l**2 + 5. Let y(c) = 4*a(c) - 5*r(c). Give y(w(i)).\nAnswer: -20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -22\/9*l**3 - 5\/3*l**4 - 58 - 1\/3*l**2 + 0*l. Factor t(d).\nAnswer: -2*d*(d + 1)*(10*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*((5*(sqrt(288)*-1 + sqrt(288)))**2 - ((sqrt(288) - (sqrt(288) + sqrt(288) + 0) - sqrt(288))**2 + 2))*-5)*3.\nAnswer: 34617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 1\/2 (c) -9\/5 (d) 263 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, g: 4, z: 1, c: 5}. Give prob of sequence cnzg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159 + -91. Let a = -67.9 + u. What is the nearest to 0 in 3, a, -1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 32*g - 16. What is f(-23)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -645*n + 640. List the prime factors of h(-8).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15904 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 10*i + 5. Let p(k) = -k**2 + 5*k. Let h be 7\/6 - 6*6\/216. Let a be p(h). Determine z(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 1. Let q(v) = -v + 1. Give -9*q(c) + 4*w(c).\nAnswer: c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 35. What is the remainder when o is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2213*b + 1407*b + 405*b + 403*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-6))\/((-96)\/(-19512)).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 253*p**2 + 277*p + 4906. Give d(-252).\nAnswer: -1394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 7:45 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107728 divided by -5.\nAnswer: 107728\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 652830 - 652828. Solve 5\/4*g - 5\/4*g**3 + 35\/4*g**w - 35\/4 = 0 for g.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1058)\/(-23) + -18)*660\/231.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313508821 - 313508835.00000005. Let n = 14.35 + -0.35. Let h = n + t. What is h rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1025244 divided by -113916.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-54)\/48)\/((-84)\/112))\/((-3)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 144 + 224 = 0. Put n, 3, 117 in ascending order.\nAnswer: 3, n, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4565 + 8603. List the prime factors of n.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 655, 133 in decreasing order.\nAnswer: 655, 133, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122077*o**3 + 305*o**2 - 31?\nAnswer: 732462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38315\/946 - 1\/473. Let k = 41 - p. Suppose a + 1\/2 + k*a**2 = 0. What is a?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 2, -6, -20, -40, -66?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 906 - 904. Let t(h) be the second derivative of h - 1\/6*h**3 + 0 + 0*h**z. Let s(v) = -v**2. Give t(s(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, -33, -89, -145, -201, -257?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -24*6*(-1)\/8. Let l = s - 13. Solve y = 2*y + 2*u - 6, y - 18 = -l*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 14 = -3*z. Let i = -37 - -42. Suppose -3*l - i*x = -10, -2*l - z = -2*x - 3. Solve 2*u = -l*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1498792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7932 and 6798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-22 - -7) - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 250 + 28*o**3 - 26*o**3 - 250.\nAnswer: 2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c + 13. Calculate h(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 8*x + 131. Let z be (-32)\/3*36\/8. Let a be (z\/(-9) - x) + (-4)\/(-6). Solve -a = 2*i + 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-12)\/(-10))\/(36\/(-270)*18\/(-38264))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 3*u**2 + 4*u**2)*(1 - 1 + 1) + (-u + 2*u**2 + u)*(3 - 1 - 3) - u**2 - 3*u**2 + 2*u**2 - 7*u**2 + 2*u**2 + u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -113 - 233?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -58 - 61 + 85 - 3*p. Determine k(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = -11. Let x = -7 - v. Suppose t = -4, -f - 3*t + x - 15 = 0. Is -2\/9 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 111c3 + -5?\nAnswer: 111be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 310.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 246\/164*(8\/(-42))\/(-2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 12211338.\nAnswer: 61056690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**6\/120 + 7*h**5\/60 + 7*h**4\/24 + 11*h**3\/6 + 3*h**2. Let y be f(8). Solve 6*z - y*z = g + 3, -2*g = 3*z - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137242997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -134. Suppose u + 4 = -2*u + 4*q, 4*u = -2*q + 2. Suppose -2*x + 16 = -4*y, u*x + 47 = 4*x - 3*y. What is the remainder when x is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/24*1\/3*10. Put 18, 5, q in ascending order.\nAnswer: q, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmhyhhywm. Give prob of sequence ww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16530549286 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(612) + 1 + -3 - 5*(-1 + sqrt(612))) - (0 + -2 + sqrt(612) + sqrt(612) + sqrt(612) + (sqrt(612) + 1)**2*6).\nAnswer: -3661 - 210*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3072035*y + 1 + 3071933*y.\nAnswer: -102*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -15*m + 16*m - 4*c, 0 = -5*m - 5*c + 30. Solve m = 2*n - 4*h, -3*n + 8 = -h + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66336 + -220155?\nAnswer: -286491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 760*m**2 - 28880*m.\nAnswer: -5*m*(m + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17568*c + 17312*c = -7680 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35862 and 5977.\nAnswer: 35862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5116 by -2.\nAnswer: 2558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3144449 or 3144450?\nAnswer: 3144450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 275 - 278. Sort v, -0.4, -4, -1\/6.\nAnswer: -4, v, -0.4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.8 * -0.546\nAnswer: -14.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i - 412. What is j(39)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 13*l + 22. Calculate u(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n - 352 = -1952. Let p(c) = 8*c**2 - c + 2. Calculate the remainder when n is divided by p(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 8, 6\/13, -4\/1613 in descending order.\nAnswer: 8, 6\/13, 2\/7, -4\/1613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z**2 - 1 + 1. Let v(s) = s**2 - 25*s + 152. Let l be v(10). Let r(t) = -2*t**l - 315*t + 160*t + 155*t. Calculate n(r(j)).\nAnswer: -52*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8935\/8 or -1116?\nAnswer: -1116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 4:45 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000027198415 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 10 + -31 + 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 84\/(-4)*8\/(-28). Let t be 1*5\/(15\/9). Let d(s) = 4 - 5*s + 3 + t*s. What is d(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 6*u**2 - 5*u + 9. Let x be a(7). Let k(j) = j**3 - 24*j**2 + 36*j - 24. What is the hundreds digit of k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 3 - 5*o + 11\/2*o**2. Let h(g) = -5*g + 2. Let f be (-7)\/3 - 2\/3. Determine f*c(j) - 7*h(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13854 and 0.1704.\nAnswer: -2360.7216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 4*c - c - 2 + (390*c - 451*c - 289*c)*(-2 + 0 - 1).\nAnswer: 1052*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 7*t**2 + 6*t - 2. Let l be p(-6). Let m be (-5 - -6) + (-3)\/69759*21185. Let w = m + -2\/1011. What is the smallest value in w, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*f = -115*f + 545. Suppose 6*r + 91 = f. Let j(y) = -y**3 + 4*y**2 + 2*y - 6. Let q be j(4). Solve 0 = -q*v - v + r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/15 + 14230*i**2 + 142298*i\/5 + 213446\/15.\nAnswer: 2*(i + 1)**2*(i + 106723)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -17456 * -26\nAnswer: 453856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8027 is divided by 48?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvq. What is prob of sequence qxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 182\/6 + (-12)\/36. Let k be (-156)\/10 - (-1 - (-42)\/h). What is the tens digit of 133 - k\/4 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 18*u**2 - 87*u + 937. Let z be o(20). Sort z, 5, 0, 51 in descending order.\nAnswer: 51, 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.32365497 rounded to two dps?\nAnswer: -4.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b3 + b?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727281 is divided by 3302?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7275\/146 - -24\/73. Find the common denominator of q and 236\/440 + (0 - (-9)\/15).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4616 + 4618. Solve j - 1 = 4*z + z, l = 2*j - 2*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12659 is divided by 469.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2921*p = 47118 + 116458 for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 210*g + 1 - 3 + 1 - 117*g in the form m*g + h and give m.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 - 90*w**2.\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*f - 2, -3*f + 15*s = 14*s - 3. Suppose -q = 0, 0 = -f*z + 2*q + 3 + 3. Solve z*k = -2 + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 417758 by -166.\nAnswer: -208879\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -171 (base 11) to base 8\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 9*w**2 - 65*w - 285. Determine s(-5).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10001002011 (base 3) to base 5\nAnswer: 3403321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z + 5. Suppose h + 5*b + 8 = 0, -4*h - 3*b + b = -40. Let x be (10\/(-4) + 0)\/((-15)\/30). Let g(s) = 0 - s + x*s + h - 1. Calculate 2*g(t) - 5*v(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1015707 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*k - 121*k = -154*k + 133875300. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3492\/889 - -1\/1778. Let u = 27\/2204 + -112331\/16530. Let s = 82\/15 - u. What is the common denominator of s and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28591162 to the nearest integer?\nAnswer: 5347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {r: 12, e: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59624 = 7*a + 22*a. Let d = -1237 - a. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*s = 3*o + 1376, o + 3*s = -684. Let z be (9568\/(-138))\/((-4)\/o). What is z rounded to the nearest one hundred?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9003474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.5. Let l = 30.8 + -31. What is the second biggest value in y, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/(-15))\/(2\/(-5)). Find the third derivative of l*r**2 + 4723*r**6 - 4853*r**6 + 103*r**2 wrt r.\nAnswer: -15600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18333 and 2079?\nAnswer: 201663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 5. Let n be c(-4). List the prime factors of (n\/(-3))\/(-1) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/30)\/(4\/(-5)). Let w = -0.12 - -3.12. Sort k, -4, w.\nAnswer: -4, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494351179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4099 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -720866 divided by -18?\nAnswer: 360433\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/(-3276))\/((-3)\/(-8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.1.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0.15, 1\/13, 512, -3, -5 in descending order.\nAnswer: 512, 0.15, 1\/13, -3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 125217000 to the nearest one million.\nAnswer: 125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9356543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, -16, -44, -74?\n\"Answer: -c**2 - 23*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347249606.\nAnswer: 2, 3, 19, 11817979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3. Let w(k) = k + 39. Let z be w(-15). Let l be z\/20 + -1 + (-56)\/(-20). Solve a = -2*m - 1, d*m - l*m - 14 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 5\/(10\/6). Let t be 1 + 4\/(-14) + j. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 + -187. Let g = -94555\/6 - -15834. Let r = d + g. Which is the nearest to -1? (a) -2\/3 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**4 - 3*q + 3*q**2 + 5*q - 6*q**2 as v*q + z*q**4 + m*q**3 + o + r*q**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + 193?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**33)**(1\/16) assuming g is positive.\nAnswer: g**(-33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 8:30 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 11*n + 63 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6 - (-722)\/(-168)) + 17 + 2783\/(-161)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:31 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6383250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16094516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-4)\/(-48)*-3)\/((-165)\/(-44))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(315)*3 + sqrt(315) - sqrt(315))\/((sqrt(7) + sqrt(63))*-1 + (6*sqrt(63) - sqrt(7))).\nAnswer: -9*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 - -90. Let m = x - -84. What is the remainder when 75 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 286, 0, 2, -11 in descending order.\nAnswer: 286, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -75 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1391, 1435, 1551, 1775, 2143, 2691?\n\"Answer: 6*l**3 + 2*l + 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p**2 + 151*p - 26. Calculate s(25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 18. Let z be h(22). Solve 8 = 2*t, -5*a + z*t = -7*a + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118509396*m**3 - 99439687*m.\nAnswer: 711056376*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 18*o = -2. Suppose -10*h = -o*h - 64. Suppose 3*i + 4*r = h*i - 41, -4*i + 4*r = -32. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4440*g - 2616*g - 2525*g as y*g + m and give y.\nAnswer: -9581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -32. Which is smaller: -1\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 0.96. Let p = w - 2.54. Let z = 2.4065 + p. What is z rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 661373*f*q**6 + f*q**3 + 2*f*q**2 + 3*f*q + 5*f - 1703*q**2 wrt q?\nAnswer: 79364760*f*q**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.642717712 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 3*f - 9. Let s be j(-7). Suppose 4*q = 5*c + s, -5*c - 23 = -0*q - 2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -51, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4722 greater than 4708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((6 - 3) + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(128*w - 130*w + 57*w**2 + 155*w**2).\nAnswer: 212*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 1:47 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2090.844 minutes?\nAnswer: 125450.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - -304?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40768 and 784?\nAnswer: 40768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 2279.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 36*w + 5*i = -53, -4*i - 126 = -6*w. Solve -51 = w*k + 82 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 3, -3 in descending order.\nAnswer: 3, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 551*q**2 + 1 + 2.\nAnswer: 551*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (486\/4617)\/((-8)\/(-19)). Which is the third biggest value? (a) 3\/2 (b) -11 (c) -1 (d) 2 (e) i\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10\/(d\/d**(-2))*(d\/d**(-1\/2))\/(d*d**16))**(-34) assuming d is positive.\nAnswer: d**289","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 172 - 114. Let t = 57 - b. Let v(c) = -c**3 - c. Calculate v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a548 (base 11) to base 2\nAnswer: 11011010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - w**2 + 5*w - 96. Let n be a(0). Let u = -15 - n. Which is bigger: u or 80?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*g + 37*g = -41*g - 37*g + 3*b - 63, -5*g - 2*b = -54 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 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: Four letters picked without replacement from qnqeqneqnqqeq. What is prob of sequence qnnq?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36 and 1.7315.\nAnswer: 37.7315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 25 = -7. Suppose 2*n = -4, -3*q = 3*n - 20 - 22. Calculate the remainder when q is divided by (7 + (-4)\/c)*36\/20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78)*-2 + sqrt(78) - sqrt(78)))*-5 - sqrt(78))\/((-1*sqrt(30))\/sqrt(5)).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.045*0.1.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, l: 2, t: 2, p: 1, g: 1, b: 1}. Give prob of sequence bpog.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*o - 33*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3\/7 + 3*v\/7 - 2\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, h: 2, t: 3, d: 1}. What is prob of picking 2 t and 1 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:19 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 449\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 3, l: 7}. What is prob of picking 1 q and 1 l?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 - -52. Which is greater: k or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*g**2 + 373*g**2 + 374*g**2 + 374*g**2 + 2*g**3 - 1495*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 297 - 37. Calculate the highest common divisor of 280 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 1. Let r(j) = -4*j + 5 - 13 + j - 3*j. Suppose -5*u = -5*h - 115, -5*u - 4*h + 34 = -63. Let w be (-1)\/((-2)\/6*u\/7). Give w*r(c) + 4*a(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-28))\/(790\/(-1659)))\/((-6)\/5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 80.1?\nAnswer: 320.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13*i + 12. Let j(f) = -9*f - 8. Let o(v) = -8*j(v) - 5*k(v). Let m(s) = -48*s - 27. What is 4*m(g) + 27*o(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648016427 to the power of 1\/4, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 961101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 218?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*s + 13 = 0, -47 = -5*b - 2*s - s. Let k(o) = -o**3 + 9*o**2 - 10*o - 4. Does 5 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38\/585423 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 34*h**3 + h - 1. Let c be 2 + -2 + 4 + -1. Suppose -3*n = -33 - c. What is the remainder when u(1) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - -3. Let o = y + -28. Put -5, o, 5 in ascending order.\nAnswer: o, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-1)\/1)*(-52)\/(5928\/24709557) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-67 - -70) + -18 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-5)\/80)\/((-6)\/912*2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(7) - -3*sqrt(7)) - 5*sqrt(28)\/sqrt(4))**2.\nAnswer: 2527\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 11:19 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p**2 - p - 1. Let f be a(-1). Let n be (-1)\/((-3)\/(-8))*f. Let t = 63 - n. What is the remainder when t is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 519*b**3 + 387*b.\nAnswer: 3114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15696 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/31))\/(i\/(i\/(i\/i**0))))**(-18)\/((i\/(i**(-1\/4)\/i))**(2\/77))**(-3\/8) assuming i is positive.\nAnswer: i**(45189\/38192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 47*k**2 - 550*k - 57. Give g(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1078*a + 2402*a + 1084*a + 2 + 2435*a - 285*a to the form k*a + f and give k.\nAnswer: 4558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/1*(-4)\/8. Let h = 913 - 909. Let y(z) = -5*z + 5*z + 11*z + h - j*z. Let f(i) = -8*i - 5. Determine 5*f(k) + 6*y(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022388721 to 6 decimal places.\nAnswer: -0.002239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/4)\/(29\/(-58))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73\/18 + 155\/36. Is -874 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -66. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35900 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224194 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 213.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3325 - 20?\nAnswer: 3305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(-8\/7)*(b**(-8)*b)\/((b**(-3)*b*b)\/b)*((b\/(b**1*b))\/b)**(-6\/7)*(b**(1\/4)\/b)\/(b*b**3*b) assuming b is positive.\nAnswer: b**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -1 + 11. Let k be (-12)\/(-21) + (-4)\/7. Solve k = r*l - 1 + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 15\/210*(-3)\/((-135)\/20)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(60)\/sqrt(5)) - sqrt(35))\/(-3*sqrt(112)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12034 + 43023?\nAnswer: 30434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9*i = 952. Calculate the greatest common divisor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*h + 9*h = 49 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -1325, -4178, -9767, -19004, -32801, -52070?\nAnswer: -77723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254899624.\nAnswer: 2, 7, 41, 67, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(704)*1*5))**2 - (sqrt(396) + (1*sqrt(396))**2 + -3)*-5*4.\nAnswer: 1720*sqrt(11) + 78360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2. Let g(h) = 24*h**2 - 23*h - 73. Calculate g(p(s)).\nAnswer: 384*s**4 + 92*s**2 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -7\/4 (c) -0.5 (d) 234 (e) 2 (f) 28\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11868 divided by -6?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t - 5. Let n(h) = -11*h - 11. Let y(i) = -4*n(i) + 9*w(i). Let g be y(-10). Suppose 0 = f - g - 0. Is f not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - a + 137 = -204, 3*x = -a + 203. Let t(s) = -s**2 - 205*s - 5235. Let q be t(-175). Calculate the greatest common factor of x and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 457 - 323 = 0. Let v be 2\/4*r\/(-5). Suppose 4*i = 15 - 3, -j - i = -v. Solve 5*d = -5*z + j, -z = -5*d - 4*z + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14815262 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 42. Suppose -t - 4*t = -210. What is the remainder when t is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1471 + 750 = -q. Calculate the greatest common divisor of 412 and q.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558993 is divided by 39875?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = 9 + 40 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 69300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1)\/(-1 - 1). Suppose z*k - 48 = -4*k. Solve -k = 3*d + a - 4*a, -4*d = 4*a - 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4959c1 (base 13) to base 7\nAnswer: -20626165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/7)\/k)\/(k*((k**(21\/4)*k)\/k)\/k*k)*(k\/k**(-21))\/(k\/k**(-9\/5)) assuming k is positive.\nAnswer: k**(1793\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + 2.2. Suppose 3*i = 14*i - 4*i. What is the closest to i in 0.5, 4\/9, n?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13490 rounded to the nearest one hundred?\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.6? (a) -7 (b) 85 (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 214988110 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, 1, 8 in decreasing order.\nAnswer: 11, 8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 81366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b*b**(-4\/5))*b**(-5\/3))**(-1\/4) assuming b is positive.\nAnswer: b**(-17\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -423 - -3?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/3)*((p\/(p*p\/((p*p*p\/(p\/(p*p*p**(2\/43)*p))*p)\/p))*p)\/p)\/p)**(-3\/16)*((p**(-1\/9)*p)\/p)\/(p\/p**(1\/2))*(p**(1\/2))**(-1) assuming p is positive.\nAnswer: p**(-8869\/6192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -a78d?\nAnswer: -a792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5240095*l**3 + 15148*l - 72 wrt l?\nAnswer: -31440570*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -299 - 295 + m - 319 + 9*m**2 + 11*m**2 + 824 to the form h + p*m**2 + a*m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 5, -3 in ascending order.\nAnswer: -3, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12734580 and 14857010?\nAnswer: 89142060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/8 - 9*c\/2.\nAnswer: -c*(c + 36)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + l - 2*l = 0. Let h(v) be the third derivative of -2*v**2 + l + 0*v - 1\/24*v**4 + 1\/2*v**3. What is the first derivative of h(n) wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 169, -34093 in decreasing order.\nAnswer: 169, -4, -34093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2253 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5908 = -2*x - 5958 + 11746 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3802.7 + -3803. Which is the third smallest value? (a) -2\/7 (b) z (c) -3\/137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 3*t**3 + 2*t**3)*(5 - 4 + 0) - 4*t**3 - t**3 + 3*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + 11. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135433\/112 or 1208?\nAnswer: 135433\/112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + (7 - 5) - (-118 - -123).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 47673 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -22*y**2 - 1. Suppose -1345*v - 20 = -1347*v - 3*h, -4*v = -3*h + 14. Determine u(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -111222000?\nAnswer: 111221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/65 - (-6)\/(-5). Suppose 249 = 5*n - 2*n. Let i = n + -663\/8. Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34839 + 34841. Let l(i) = i + 4. Let s be l(-4). Solve 12 = w*b + 2*t, -2*b - 4*t + 18 = -s*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117437518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12623911 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: Suppose -15*t + 736 = -1094. Suppose 0*h - 30 = 5*h. Let w = h + t. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/200)\/(2\/(-60)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -926523 divided by 39?\nAnswer: -23757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)\/(q\/q**(-21))*(q**37\/q*q)**(-1\/25))**(-46) assuming q is positive.\nAnswer: q**(25852\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 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: What is the tens digit of 72526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -26, -36, -56, -92, -150, -236, -356?\n\"Answer: -x**3 + 4*x**2 - 11*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/(-3) - 2\/(-6). Let s be ((-7)\/(-3))\/((-3)\/j). Let k = 6 + s. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/50)\/(24\/(-1545)) and -53\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 3*d - 14. Let h be m(-6). Let w(a) = 19*a - 2. List the prime factors of w(h).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4 = -2*x, -3*i = 2*x - 10 - 2. Let u = -17 + 9. Let t be (-4)\/(-10)*-2 + u\/(-10). Solve t = -5*l + i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/2)*a)\/a*a)\/a)**(-2\/9)\/((a**12\/a)\/a**(-1\/14)) assuming a is positive.\nAnswer: a**(-1381\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 - -11259065751.5\nAnswer: 11259065751.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:32 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let x = -3 + 3. Which is the nearest to x? (a) -1 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -91, -180, -269, -358, -447?\n\"Answer: -89*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -726.37 times 0.5\nAnswer: -363.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4338, -8660, -12982, -17298, -21602, -25888?\n\"Answer: h**3 - 6*h**2 - 4311*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + i**2 + i + 24. Let x(z) = -z**3 - 3*z**2 - 3*z. Let k be x(-2). Suppose -k*q = q. What is the tens digit of y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {o: 2, a: 1, h: 1, t: 1, v: 1, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4\/m**(-1\/3))\/(m*(m*m**(-1\/13))\/m*m*m\/m**(1\/18)))**(-33) assuming m is positive.\nAnswer: m**(-3773\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384 divided by -384.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -4. Let p = -842 + 1473. Let k(m) = 631 - m - p. What is k(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**2 + 3*n**2 + 2*n**4)*(75 - 339 - 63) to the form z*n**2 + p*n**4 + f + d*n + h*n**3 and give p.\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-641993)\/1524*-3 - 1\/(-4). Let t = 1264 - l. Suppose 8*m = 3*m + b - 4, -3*m + b - 2 = 0. Is m <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -5*w + 43. Let n = w - -43. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2204 - -2213. Solve -27*s - 11 = -28*s + 3*m, -u = -3*s + 3*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1024743701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -62*s + 9. Let l be a(-6). Suppose -58 = -n + 5*x + l, -2*n - x + 834 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (44*q + 64*q - 21*q + 17*q)*(4*q**2 + q**3 + 9*q**2 - 14*q**2) as h*q + g*q**2 + b + z*q**4 + j*q**3 and give j.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t - 6. Suppose -t*o = 3*k - 4, -3*k + 3 = 3*o - 0. Let s(h) = 2*h**3 - 2. Is s(k) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44406.15 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2814.57259632 + -4\nAnswer: -2818.57259632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8717769 litres in millilitres?\nAnswer: 871.7769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107585250 divided by -30.\nAnswer: 3586175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, -3, 5, 1\/32 in descending order.\nAnswer: 5, 1\/32, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 5141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -24, -3, -4, 1, -9, 10 in increasing order.\nAnswer: -24, -9, -4, -3, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-7))\/(12\/(-8))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 30. Let m(p) be the first derivative of -p**2 + p + 1\/3*p**o + 1. Factor m(d).\nAnswer: (d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -22. Which is the closest to -0.2? (a) y (b) -2\/5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/80)\/((-12)\/(-8)). Let p(b) be the second derivative of b - 1\/6*b**3 + 0 + n*b**5 + 1\/2*b**2 - 1\/12*b**4. Factor p(f).\nAnswer: (f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 54 + 71 = 0. Suppose 2*u - a = -3*u. Let c(g) = 2*g**2 + g - 2. What is the remainder when c(2) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -36513494*x**2. Let y(p) = -14*p. Give b(y(v)).\nAnswer: -7156644824*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39930741 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 203, 106\/295, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.327 + -98297?\nAnswer: -98296.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 273 - 190. Let f be (1401\/12)\/(9\/(-36)) - 7. Let y = d - f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1357 and 5773?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 - 24*r**3 + 716*r**2 - 2472*r + 1782 = 0 for r.\nAnswer: -27, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a factor of 122168252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 42. Suppose k*z - 25 = -0*z. Solve z = 4*g - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21797 (base 11) in base 8?\nAnswer: 75516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 64240 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 10*b - 21. Suppose -8*k - 78 = 18. Let t be x(k). What is the third derivative of 7*q**2 - t*q**3 + 15*q**2 + q**3 + 0*q**2 wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 + (-46 - 27) - -53.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - z = 588, 2*c + 0*z - 393 = z. Suppose 5*g - c = -3*t, 2*g - t + 113 = 5*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 669, 1403, 2171, 2991, 3881, 4859, 5943, 7151?\n\"Answer: 3*f**3 - f**2 + 716*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13569\/10 + 1358. What is the common denominator of h and 1 + (-634)\/(-572) - (-130)\/(-845)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-9) + 14\/18. Let f(q) be the first derivative of 3\/2*q**2 - m + 7*q. Calculate f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8882 - -124399\/14. Let d = -73\/7 + n. Find the common denominator of (4\/10 + 0)\/(12\/(-695)) and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2070 - 20*k**3 + 693 + 686 + 205*k**3 + 692 - 27*k**3.\nAnswer: 158*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26197 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -4 (c) 3 (d) -1421 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-18 + 11) - -2) + (-5 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 20 = -0*c. Let i be ((-60)\/(-4))\/(-5)*-1. Suppose 4*s - l = i, 2*l - 17 = 4*s - 3*l. Solve s*o + 11 = c*k, -3*k + 3*o + 2*o = 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 513 + -513. Suppose t = -12*m + 337 - 1. What is the remainder when 83 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**3\/3 - 3*u**2\/2 + 3*u + 2. Let f be n(4). What is the least common multiple of 1 and f\/4 - 2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 174419*m + 27. Determine b(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = o - 19 + 22, 5*o - f = 3. Put o, 0, 7, 4 in increasing order.\nAnswer: 0, o, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*a**2 + 14*a**3 + 60*a**3 - 3*a**2 + 0*a**2 wrt a.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -42, 2, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3964 and -0.255717445333.\nAnswer: 3963.744282554667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h - 147. Let o be i(14). Let q be (182\/o + 9)*(1 + 20). Solve 0 = 9*z - q - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1762\/11 + 160. Let p = 11.91 - 12. Let k = p - 3.91. Which is the second biggest value? (a) -0.5 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216544 (base 9) to base 16\nAnswer: 1f9c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1676 = -r + 13462, 4*z + 12 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsoemos. What is prob of picking 1 h and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 5*j + 2. Let y be o(5). Let w = -5 + 1. Put 5, y, w in increasing order.\nAnswer: w, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 12*f**2 + 5. Let t(d) = -d**3 - d + 1. Let k(n) = 2*t(n) - w(n). Let u be k(-12). Let h = u + -15. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2047 - 3140. Let n = 1173.24 - 143.94. Let x = n + k. What is x rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -23*f**3 - 22*f**2 + 26*f + 26. Let s(u) = 12*u**3 + 12*u**2 - 13*u - 13. Calculate -11*s(k) - 6*y(k).\nAnswer: 6*k**3 - 13*k - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429298*i + 429298*i + 7919 + i**2.\nAnswer: i**2 + 7919","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95\/192 or 0?\nAnswer: -95\/192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 67 - 25 = 2*n, 0 = 20*n - 16*n. Suppose 36 + 7 = s. Is c bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * 71.\nAnswer: -2982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fdc7 - -2?\nAnswer: 1fdc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**5\/60 - j**4\/3 + 11*j**3\/6 + 43*j**2. Give w(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 31396.\nAnswer: -15698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32401782 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 2. Calculate the least common multiple of t(-2) and 2\/(2*(-2)\/(-14)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 = 214*y - 224*y + 116 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b + 2*b - 14 + 0*b**2 + 39 + 2. Give v(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -5 + (-6)\/21 + -8 + (-91698)\/(-42) and 1953.\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c + 3. Let d(y) = 119*y - 35. Calculate -6*d(g) - 70*q(g).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 8*t**2 + 8*t - 13. Let p be y(-9). Let l = p - -4. Solve l = 2*x + 4*b, 5*b - 2*b = -4*x + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 7:50 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*q + 3570 = 0, -q - 13665 + 13650 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5 - 12525*i**4 + 47*i**2 + 47.\nAnswer: -120*i**2 - 300600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500 + -4945.\nAnswer: -3445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1181*l = -1225*l + 3300. Solve -52*o + l*o = -184 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 168696.4 from 1443.\nAnswer: -167253.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 26 = -2*g, 0*g - 3*c = -2*g - 18. Sort g, 1, -2 in decreasing order.\nAnswer: 1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.73 - -5.7300163. What is r rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*p + 4*p + p)*(-107*p + 65*p + 73*p).\nAnswer: 31*p**2 + 93*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-8440)\/(-1224)) + (-4)\/(-34)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 less than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47081554?\nAnswer: 2, 13, 101, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6296, -12130, -17062, -20642, -22420, -21946, -18770?\nAnswer: -12442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140739 is divided by 1914.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -13*h - 35 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**2 + 8*i**2 - 9*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 8*j - 3. Let a(t) be the third derivative of t**5\/60 + 7*t**4\/24 + t**3\/2 - 45*t**2. Give 6*a(m) + 5*q(m).\nAnswer: m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4116ab (base 12) in base 10?\nAnswer: -1018787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 14 + 4. Let j be (4\/6)\/((10\/3225)\/2). Factor -j + q*d**2 + 430 - 4*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 40, 81, 160, 289, 480?\n\"Answer: 2*j**3 + j**2 - 2*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-5)*(1 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/67)\/(n**(2\/17)\/n))**(-1\/19) assuming n is positive.\nAnswer: n**(-971\/21641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*k**4*l + 2*k**4 + 33619*k**3 - 25*k**2 - 79857*k*l - l - 5 wrt k?\nAnswer: -360*k*l + 48*k + 201714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from qlqlqcllacqelcla?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 6 - (26 + -18) - (2 - 16)) + -57.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)*m*m**(-2))\/(m**2)**(-26))**(1\/6) assuming m is positive.\nAnswer: m**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/79 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*t = -8604 - 42704 + 3261 - 10209 for t.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 + 34*r**3 + 109 + 99 - 534 + 101.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puppupuuupuu. Give prob of sequence uuu.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1216 - 826. Calculate the greatest common divisor of 624 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - s**5 - 2*s**5 + (-106*s - 210*s + 127*s)*(-5*s**4 - s**4 + 4*s**4)*(6 - 3 - 4).\nAnswer: -380*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*d - 3*d**2 + 150*d - 296*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 3*g + 3*g)*(1972 + 3970 + 2460)*(5 - 1 - 5).\nAnswer: 8402*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3763*h**3 - 3048*h**3 - 4205*h**3 - h**3 - 1 + 1 + (2 - 2 + 2*h**2)*(-3 + 3 + 2*h) as i*h**3 + x*h + w + m*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 365128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 924*d**2 - 3648*d + 3632.\nAnswer: -4*(d - 227)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 8. Suppose 0*i = -4*i + 12. Suppose 0 = i*w + 3*b - 21, b = -w + 5*b + 2. Give l(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**4 + o + 114.\nAnswer: 8*o**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 7:35 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/4)*o*o**7\/o*o)\/((o\/o**(2\/7))\/(o**(2\/15)*o))*o*o**(-1)*o*o**(4\/3)*o**1\/((o\/(o**(4\/7)*o))\/o) assuming o is positive.\nAnswer: o**(5071\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*16*(-33)\/(-968).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 19, 24, 29, 34?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdhdlldhdhh. Give prob of picking 2 d and 1 h.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32773.51259844 - 32768.0126. Let p = u - 5.5. Round p to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484 equal to 3036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, u: 2, g: 5, i: 1}. What is prob of sequence bb?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137 + 2*n**2 + 14*n**2 - 15*n**2 to u + x*n**2 + z*n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/12*(2\/21)\/((-767)\/(-78))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80\/2366891 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (1\/(-2) - 2). Let h(c) = c**2 - 10*c + 1. Let r be h(7). Let t be ((-4)\/(-130))\/(4\/r). Sort b, t, 0.3 in descending order.\nAnswer: b, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -303 + 34?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2235315 nanograms to kilograms.\nAnswer: 0.0000000000002235315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 248313626 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: b\"What is the jth term of -40883, -40755, -40539, -40235, -39843, -39363, -38795?\n\"Answer: 44*j**2 - 4*j - 40923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*h**3 + (-2 + 2 + 2*h)*(h**2 - 2*h**2 + 2*h**2) - 4*h**3 + 4*h**3 - h**3 + 2*h**3 + 2*h**3 - 3*h**3)*((0 - 4 - 4)*(1 + 1 - 3) - 3 + 5 - 1).\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - m + 1. Let h(a) = -10*a**2 + 3*a - 4. Let f(x) = 7*g(x) + 2*h(x). Let q be f(2). Suppose -q = -o + 2. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z**2 - 56*z - 346. Give p(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51114138 to three decimal places.\nAnswer: 0.511","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -314, -322, -332, -344?\n\"Answer: -s**2 - 5*s - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooo. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 7*p**2 + p + 9. Let z be t(-7). Suppose 0 = c - z*c + 46. Let l = c - 31. Calculate the remainder when 102 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3 + 3 + 5*y**2 - 4*y**2. Suppose 0*m = -4*m + 8. Let p(a) = 5*a**2 - 3*a**2 + 0*a**m. Calculate p(b(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3155, -9757, -16357, -22955, -29551, -36145?\n\"Answer: i**2 - 6605*i + 3449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -38. Let t(s) = 2*s**2 + 2*s + 1. Let v be t(-2). Put v, -3, o in decreasing order.\nAnswer: v, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -133 and -12?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 16*q + 2. Let b be h(-14). Suppose b*r = 5*r + 550. What is the greatest common divisor of r and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13589 or 275?\nAnswer: 13589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:16 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010 - 11100000000000011000?\nAnswer: -11011111111111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 1. Let h(g) = 883*g + 2. Calculate -h(i) + 4*x(i).\nAnswer: -879*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30 * -0.8\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(363) + sqrt(363))**2 - sqrt(9)\/sqrt(3)*-4.\nAnswer: -40*sqrt(3) + 1453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17*(-40)\/1020)\/(-2*4\/(-528))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + -0.45. Let m = -7.3 - -4.3. Put k, 0.2, -1, m in descending order.\nAnswer: 0.2, k, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + 3*f + 0*f**2 + 5*f**2 - 2*f**3 - 7*f**2 to the form g*f + k + m*f**3 + x*f**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*c - 2*c + c)*(-1 + 1 + 1)*(18 + 13 - 20 + (-1 + 2 - 2)*(0 + 4 - 2)) in the form b + v*c and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = 3*j. Suppose -j*f + 3 = -19. What are the prime factors of 2\/4 - f\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 640*o**2 - 594*o**3 + 608*o**2 - 319*o**3 - 124*o**2 - 885*o**3 wrt o?\nAnswer: -10788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + -1c785?\nAnswer: -1c775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, e: 1}. What is prob of sequence je?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36.6 and -0.5.\nAnswer: -37.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p + 1. Determine s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 12. Let i be s(-3). Suppose -6*f + 3*f + 3 = i. Suppose 7*h - 8 + f = 0. What is the second smallest value in h, 3\/4, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 = -3*q, -4*q + 0*q = 3*d - 24. Solve -4*o + 3 = 2*k - q, -3*o - 1 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46\/13 - -171\/52. Which is the closest to p? (a) -2\/9 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u = -10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 - 2 = 3*h, -2*q = -8. What is the second derivative of -2*i + 0*i**h - i**2 + 0*i wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4 - -5) + -1)*(-7)\/(-21). What is the second smallest value in k, -0.4, 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (5775\/(-203) - -17). Which is bigger: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83309 - 39389. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 259\/6 + -43. Let n be -1 - (3 - -4) - (-3 + -2). Which is the smallest value? (a) n (b) -0.12 (c) u (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1016\/338 + -3). Suppose z + 3*q - g = 2*q, -2*z + 303 = -5*q. Suppose 0 = -5*t + z + 606. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536630711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -2, -28, -84, -182, -334, -552?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -91646*r. Let g(h) = -8*h**2. What is v(g(q))?\nAnswer: 733168*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2980.88 - -2987.24945. Let m = 6.35 - j. Round m to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15197, 30388, 45583, 60782, 75985, 91192, 106403?\nAnswer: 121618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-73)\/(-438)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 572*a**2 - 51812*a + 73719968.\nAnswer: 1144*a - 51812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 176?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 3855893?\nAnswer: -3855895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0843 and -185.\nAnswer: -15.5955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - p + 75. Let d be q(8). Solve 3*t - 2*g - d = g, 5*t - 4*g = 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21330)\/315)\/(1\/(-28)). Let z = j - 1125. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)*k**(-33))**49)**(-11\/2) assuming k is positive.\nAnswer: k**(71687\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 35754254?\nAnswer: 35754253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 9:43 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j**2 - 58*j - 8. Let u be f(-5). Suppose -y = -u*y + 6665. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/5*5\/(-7) - 5\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 30. Let z = c + 72. What is the greatest common divisor of 26 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/164052 and -89\/16492?\nAnswer: 3116988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16535897 times 6?\nAnswer: -99215382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2011 (b) 0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/8 + (-1042692744)\/(-1258). Let j = -828850 + b. Calculate the common denominator of j and -61\/2.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -204*r**2 + 8*r - 14. Let w(f) = -f**2 - f - 1. Let a(j) = -d(j) - w(j). Is a(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1263 (c) 3\/2 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7126.6 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/(3\/(-6)*3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 3\/7, 1, 2\/7, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 0 + 9. Let q be a\/(-10) - 6\/15. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124757625 divided by -124757625.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 218\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1161 and 1?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1464 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/8 + (-15)\/20. Suppose -3*s + 46 = 4*d - 2, -2*s = n*d - 44. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31c + -111?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704712.582 microseconds to weeks.\nAnswer: 0.000001165199375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dllljllllfldffffflj. Give prob of picking 1 l, 1 f, and 1 j.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oro. Give prob of sequence oo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ododdolococloldooolo. Give prob of picking 1 d, 2 c, and 1 l.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 7:49 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h. Let c(y) = 73*y**2 - 26*y**2 + 41*y - 21*y**2 - 22*y**2. Calculate c(q(z)).\nAnswer: 36*z**2 + 123*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:57 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5032*o + 29861. Determine s(6).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*d - 454, 0 = 3*d + d + 5*o - 910. Suppose -4*g + 428 = 4*p - 2*p, 2*g + 5*p - d = 0. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 23*u + 5. Let p(l) = -114*l - 24. Let m(o) = 24*n(o) + 5*p(o). Determine m(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*n**0)*(n**(-1\/4)\/n)\/n*(n\/(n*n\/(n*n*n*(n\/((n*n*n**(-1))\/n))\/n)*n*n))**(3\/2) assuming n is positive.\nAnswer: n**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/3, -0.006, -7\/29, 4, -3, -8?\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -17. Suppose 2*w - 8*w = 0. Suppose -3*u + 4 + 26 = w. What is the remainder when g is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2228.\nAnswer: -2228, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Suppose 39 = t*x + q, 2*x - q - 13 = 16. Suppose -5*p = -3*m + m - x, -4*m = 4*p - 8. Solve -p*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 33*n - 135. What is x(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**5 - 3*k**3 - 4587*k**2 - 274350*k - 2.\nAnswer: 40*k**3 - 18*k - 9174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6))**(-8) assuming p is positive.\nAnswer: p**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2014 and 6878?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -654*f**2 - 2*f + 6. Let r(m) = -655*m**2 - 3*m + 8. What is -3*r(i) + 4*u(i)?\nAnswer: -651*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-42)\/18 + 2)\/(3\/(-126))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2036759, -2036748, -2036737, -2036726, -2036715, -2036704?\n\"Answer: 11*s - 2036770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 9539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 595308 by 3.\nAnswer: 198436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 31*q + 47*q - 95, 5 = -3*k - q + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 1088 = -3*j. Does 17 divide j*5\/(-20)*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3 + 9843*q**2 + 2547215*q - 2557059 = 0.\nAnswer: -9577, -267, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -3.5190059\nAnswer: 14.0760236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307401618.\nAnswer: 2, 3, 523, 97961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 6419312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*k**2 - 1\/3*k - 1\/6*k**3.\nAnswer: -k*(k + 1)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 421005 and 2600325?\nAnswer: 44205525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1470*b + 738*b = -4266 - 50934 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eddcdddjedcdddde. What is prob of sequence jcc?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + 2*l)*(-7*l - l + 0*l) + (3*l - 2*l + l)*(-l + 2*l - 2*l) - 3*l**2 + 2*l**2 + 0*l**2 + (7 - 7 + 5*l**2)*(0 + 2 + 0).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 360*n + 10. Let f(z) = -120*z - 3. Let a(v) = -17*f(v) - 6*r(v). Let o be a(3). Let p = o - -910. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.33 + 22.43. Round y to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:59 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 23 (c) -9220684\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 5*b**2 - 10*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, y: 7, v: 3}. What is prob of picking 1 y and 1 s?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.3, -2\/7, 5 in descending order.\nAnswer: 5, -1\/6, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 581973 and 15729?\nAnswer: 581973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161\/769 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125132 (base 9) to base 8.\nAnswer: -224226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000066639363 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/49*(-6)\/(-4). Let y be (54\/70 + (-3)\/15)\/((-48)\/(-56)). Which is the closest to -1? (a) -0.1 (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**2 + 7*o**2 - 13*o**2)*(-3*o + 0*o + 2*o) + 4 - 4 - 4*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dedd. Give prob of sequence ddde.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4\/2 - 6*h**3 - 9*h**2\/2 - h.\nAnswer: -h*(h + 1)**2*(5*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x*x)**(-12)\/((x\/(x\/((x*x*x\/((x\/(x*x\/(x**(-2\/7)\/x))*x)\/x)*x)\/x*x)))\/(x**(-1\/3)*x)))\/((x**0)**31\/(x**(1\/2)*x*x*x**(-3))) assuming x is positive.\nAnswer: x**(-1769\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 + 3*d - 2. Let y be c(1). Suppose 7*j - 36 = -15. Suppose -2*n - 43 = -2*k - y*n, -102 = -j*k + 5*n. What are the prime factors of k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164*u**3 - 164*u**3 + 48*u**4 + 22*u**2 wrt u?\nAnswer: 1152*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/5, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -409673?\nAnswer: -1\/37243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 79, 109, 135, 157, 175, 189, 199?\n\"Answer: -2*n**2 + 36*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9412a5 (base 11) to base 4\nAnswer: 11300211033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55699\/8 + 6952. Let i = 9619\/7 + -1380. Calculate the common denominator of s and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1272 = 4*h, 0 = -4*s + 3*h - 2*h + 1696. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + t**2 - 9 + 16*t + 23 - 5*t**3 in the form a + w*t**3 + g*t**2 + v*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 3*l**3 + 3*l**3 + (5 + 1 - 5)*(-6*l**3 + 2*l**3 + 7*l**3))*(1 + 2 - 1).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24161 (base 9) to base 13.\nAnswer: 7492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - 11. Does 9 divide j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k**3\/11 + 23908904*k**2\/11 - 81290170*k\/11 + 28690644\/11 = 0 for k.\nAnswer: 2\/5, 3, 2390887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 26 = 10. Suppose 300 = k*c + 60. Let r = 117 - c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**5\/20 - 3*j**4\/4 + 2*j**3 + 3*j**2 - 9*j. Let y be d(-11). Let s = y - -17. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -50, -42, -20, 22, 90?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 80*y**2 - 78*y + 182. Let r be s(-41). Solve 0 = r*x - 181 + 73 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w + 12. Let y = -5 + w. Let f be y\/4 + 11\/12. Which is the nearest to f? (a) -2\/9 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 1, t: 2, f: 2}. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-41862)\/(-54) - (7\/(-9) - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t. Let s be a(-1). Suppose s*y + 2*u + 13 = 0, -u = -3*u + 2. Let g(i) = 2*i + 3. Let q be g(-2). Sort y, q, 1 in ascending order.\nAnswer: y, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 - n**2*s**2 - 33*n**2 - 2*n*s**2 - n*s + 12*s**2 wrt n.\nAnswer: 24*n**2 - 2*s**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(44\/110).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:44 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -134, -87, -12, 97, 246, 441, 688?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.19 (b) 3\/4 (c) -8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, -4, 0.\nAnswer: -4, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10576, 6, -10 in increasing order.\nAnswer: -10576, -10, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21.2 * -0.5\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 40*g + 373. What is the smallest common multiple of 19 and v(-9)?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/2 - 967405*h**2\/2 + 17413776*h - 156725442 = 0. Calculate h.\nAnswer: -967441, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1. Suppose -3*a + 92 = -a. Suppose -4 - a = 5*q. Let k(c) = -10*c - 18. Let z(u) = q*v(u) + k(u). Find the first derivative of z(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -27*v**2 + 15*v + 5. Let i(b) = 34*b. Calculate p(i(o)).\nAnswer: -31212*o**2 + 510*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 424*s - 9767. Determine g(-21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**3*f*p**3 - 4*d**2*f*p**3 + d**2*f*p + d*f*p**3 + 7*d*p**2 + f*p**3 wrt d?\nAnswer: 30*d*f*p**3 - 8*f*p**3 + 2*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k + 64 = -5*r, 5*k + 4*r - 45 = 0. Suppose 5*g = 5*t - 55, -k = g - 0*g + t. What is the units digit of (g\/9)\/((-1)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, r: 2}. What is prob of picking 1 r and 2 m?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446822630 is divided by 542.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 232*w + 12149. What is k(-44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 162563606 + 4?\nAnswer: 162563612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*h = 4, 3*k + 7*h - 2*h = -4. Solve 5*d - 5*c = 0, -d - c = k*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/4)*t)\/(t**(-5)\/t)*t**4*t**(3\/4) assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -664b?\nAnswer: 6657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -1474.3389968.\nAnswer: -1474.3389968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-74)\/14 + 4\/14. Let o be (-16)\/(-20) + (-1)\/s. Let u(r) = -2*r**3 - r**2 + r. Let x be u(o). Which is the closest to -1? (a) x (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*h**3 + 97 - 3*h**2 + 49*h**3 - 154*h**3 + 55*h**3 wrt h.\nAnswer: 9*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 3*x**3 - 2*x**4)*(0*x - 3*x + 2*x) + 12747*x**3 + 1 - 12747*x**3 + x**5 + 400*x**4.\nAnswer: 3*x**5 + 400*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/52))\/(d*d\/(d**35\/d*d)) assuming d is positive.\nAnswer: d**(1769\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 112111 (base 3) to base 5\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 - y**3\/3 + y**2\/2 + 39*y - 2. Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -2 - (-9 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**7\/210 + r**6\/50 - 3*r**5\/100 + r**4\/60 + 5*r. What is u in k(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 3*t - 5. Let o be (-1)\/(-5) - 19\/(-5). Give j(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 1 + 1)*(1 + p**2 - 1) + p**5 + 0*p + 0*p + (4 - 2*p - 4)*(474*p**2 - 474*p**2 - 236*p**4).\nAnswer: 474*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjjjjjkjjjjjo. What is prob of picking 1 k and 1 j?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 5*p**2 - 20*p + 61. Let a be j(-8). Calculate the greatest common divisor of a and 6902.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*d - 8, 0 = -0*f - 3*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -91*y**2 - 4*y. Let v(a) = 10*a**2. Determine c(v(d)).\nAnswer: -9100*d**4 - 40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -650, -6038, -20666, -49154, -96122, -166190?\nAnswer: -263978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 3*p**2 + 2. Let o be c(-3). Suppose 5*q = -k - 0*q + 14, o*k + 2*q = 36. What is the remainder when 35 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:42 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Let b be ((-2)\/n)\/((-1)\/78). Suppose -3*r = -2 - b. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 402133224223?\nAnswer: 402133224231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 954 divide 294529374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*w - w**2 + 31070*w**3 + 2*w**4 - 31070*w**3 - w**4 + 0*w**4 + 0*w**4 + (-3*w**2 + 3*w**2 - 2*w**2)*(7*w**2 - 2*w**2 - 2*w**2).\nAnswer: -5*w**4 - w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864297.2 weeks to milliseconds.\nAnswer: 522726946560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 5*l - 30 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffbzbbfgzgzbzgbgfggz. Give prob of picking 1 f and 3 z.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1349 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*t + 27*t + 4. Let a(z) = -z**3 + z**2 + 6*z. Let m(j) = j**2 + j. Calculate t*m(v) + a(v).\nAnswer: -v**3 - 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 127*t**2 - t + 1. Let r = 8 - 6. Let k be r\/(-3) - (-10)\/6. Is s(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l + 3 + 3 - 4 to r + d*l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-4\/5)*j\/(j\/j**(-3\/5)) assuming j is positive.\nAnswer: j**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2, -1194, 158, 0, 5, -3?\nAnswer: -1194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 74. Let y = z - -54. Solve -3 = y*d + 2*n, -n = 4*d + 2*n + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 15*f**3 + 66*f**2 - 7*f + 190. Let a be u(47). Round a to the nearest 10000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 345 + 1895. Let n(k) = -o*k - 8*k**2 + 224*k. Let a(v) = -v**2. Give n(a(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3*2\/9). Suppose 399 = l*n + 2*h, -4*n + h = 3*h - 532. Suppose 0 = 9*t + 322 - 493. Calculate the highest common divisor of t and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2.1. Suppose -4*g = -4*l, 4*g + 5*l = -g - 30. Let s = 11 + -12. Which is the closest to f? (a) g (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -364.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, -4, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3*x - 36897*j**3 + 40*j**2*x - 50*j*x + 1 wrt x.\nAnswer: -j**3 + 40*j**2 - 50*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-3\/11)*l)*l*l**9\/l assuming l is positive.\nAnswer: l**(102\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 2 + 0 + 11*a**2 - 3. Let u(v) = v**2 + 91*v - 585. Let s be u(6). Let m(t) = -5*t**2 - 2*t + 2. Give s*n(h) - 7*m(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 48 = -3*l + 10*q + 80, -4*q + 283 = 7*l for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j = 10. Solve l + 0*l + c + j = 0, -c = -3*l - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(10 + -1)*792\/(-33). Solve -4*g = w, l = w - 0*w - 4*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 248353, 993426, 2235215, 3973720, 6208941, 8940878?\n\"Answer: 248358*n**2 - n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/5 + 1 - (-361244)\/10. Suppose -f - 18279 = -2*i - s, -i - 4*s = -27212. Round i to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98188504 and 20671264?\nAnswer: 392754016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(((-18)\/(-20))\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(500)*1 + -1))**2 + 6*(-2 + (sqrt(500) - (1 + sqrt(500)))).\nAnswer: -720*sqrt(5) + 18018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*b + 16, 0 = 4*b + 5*y - 8 - 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79937, 79932, 79927, 79922, 79917, 79912?\nAnswer: 79907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 108 = -14*p. Let m = 53 - p. Solve 4*t = -m + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24831 is divided by 24597?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - -131. Is p a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 25 = 22*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/55 + (-50)\/(-88). Let o be (1\/15)\/((-48)\/(-160)). Put o, x, -0.4 in ascending order.\nAnswer: -0.4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let n(u) = 912*u**2 - 350*u**2 + 3335*u**2 + 971*u**2. Give n(x(z)).\nAnswer: 19472*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13581 * -0.6\nAnswer: -8148.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3513 = s - 5293, -5*h - 2*s + 11006 = 0. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2) + 5 + sqrt(18).\nAnswer: 5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -1)\/6*0. Sort 2, d, 1, -5 in ascending order.\nAnswer: -5, d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*r = 111*r - 179 - 118 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s. Let f = -14 + 10. What is the remainder when v(f) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**4 + 16*a**3 + 24*a**2 - a wrt a?\nAnswer: -120*a + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4063 + 77. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*r - 8 - 72*r + 141*r - 2*r**3 - r**3 to k*r**2 + s + y*r + x*r**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*g = 41, -6*r + r + 5*g = 5. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -6*n + 10. Suppose 0 = n*w - 24 - 46. What is the smallest common multiple of 11 and w?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607662 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (172\/(-3))\/(-1)*18\/(-12). Let h = -22 - u. Let f = h + 55. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33.18 - 31.58. What is the biggest value in n, 12, 1\/3, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5344497031?\nAnswer: 199, 26856769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 0*k**2 - k**2 + (2 - 2 - k**2)*(-3 + 1 + 1) - 2*k**2 + 5*k**2 + 5*k**2 + 4*k**2 - 3*k**2 + k**2.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/44 - -3\/11. Let p = 1264\/55 - 114\/5. Let g = 3 - 8. Which is the second smallest value? (a) p (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1 + 3*m + 3 - 4 - 13*m**3 - 9*m. Let r be h(5). Let p be (r\/(-2) + -2)*40\/6. What is p rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = 8*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -283965368.\nAnswer: 1\/70991342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 50. Is 24 a factor of 20*z\/(-15)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9795739543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -28*d**2. Let p(q) be the first derivative of -q**3\/3 + 14. What is p(r(l))?\nAnswer: -784*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*s + 2 = 0, -l - 2*l + s = -22. Let x(j) = -4. Let g(t) = t + 2. Let u(f) = g(f) - x(f). Calculate u(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 3*b + b + 3*b + b - 2*b + (-2*b - 2*b + 3*b)*(-1 + 1 + 1) + 2*b + 3 - 3 - 15*b + 18 - 18 + 11 - 22 + 10 - 9*b.\nAnswer: -19*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079891761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-22) + (-26)\/(-22). Let g(x) = 5*x**3 - 4*x - 3. Let h(d) = d**3 - 1. Let z(n) = u*g(n) - 3*h(n). Find the second derivative of z(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/60 + t**4\/24 - t**3\/3 - t**2. Suppose -g + 3 = 1, p - g = 1. Suppose -p*k = -k - 4. What is l(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2819 is divided by 52?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-16))\/(1\/(-132) - 0). Let a = w + -34. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 28*v - 25681. Determine u(-148).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/427, 1?\nAnswer: 2\/427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1553 - -1?\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 13*d + 10. Let p be l(-5). Let v = p + 60. Suppose -4*u = -v*u + 25. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 154?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(48)\/sqrt(4)))\/sqrt(288).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - 2*r**3 + r**3 + 14848*r - 14848*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76990650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232180042?\nAnswer: 2, 6367, 96763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-5354 - 50*l + 5354).\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1388, -2790, -4198, -5606, -7008, -8398?\n\"Answer: s**3 - 9*s**2 - 1382*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.41 + -4.51. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f**2*h*p - 84*f**2*h + 1800*f**2*p + 4*f + h*p wrt h.\nAnswer: 7*f**2*p - 84*f**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1062 - 1025. Solve 0 = 40*r - s*r + 18 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 200, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -0 + 14. Factor -75*p**2 - 2*p + i*p - 33 + 30*p + 78*p**2.\nAnswer: 3*(p - 1)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 8, -280, -3, 4 in ascending order.\nAnswer: -280, -4, -3, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x**2 - 3*x - 1. Let i(c) = -c**3 + 2*c**2 - 4*c - 6. Let o(k) = -2*i(k) + 3*y(k). Give o(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a + 29*a = 80. Let y(u) = -u**3 - 16*u**2 - 3*u + 16. What is the tens digit of y(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677096 is divided by 808?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*h - 2647 - 5445 = -387*h + 2288 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/95 + 96\/(-67488).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 175 = 0. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-21))\/(121\/(3146\/(-104))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 184877731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 64*l + 248. What is y(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 5*j + 32. Give g(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19438 + -42?\nAnswer: 193b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -622954, -622941, -622928?\n\"Answer: 13*t - 622967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 58900020 = -5*c, -5*r = -0*r + c + 294499996. What is r rounded to the nearest one million?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/((-7)\/182). Let k = n + -7. Let l(g) = 17*g + 15. Let d(t) = 9*t + 8. Determine k*l(m) - 11*d(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844295407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2856, -5043, -7230, -9417, -11604, -13791?\nAnswer: -15978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-8)\/560*4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/9 (b) -6 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(187)*-2*3 + -3*1*sqrt(187))\/(sqrt(1331)*2 - sqrt(1584)*-1))**2 + -3.\nAnswer: 149\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2201112 (base 4) to base 16\nAnswer: -2856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -126827?\nAnswer: 1\/126827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -65, 4, 0.5, 75?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 57*t + 3475. Let y be k(-38). What is the greatest common factor of 68 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/60 + d**4\/24 + d**3\/6 + 3*d**2. Suppose s + 3 = 0, -3*s = n + 2*n + 9. Give f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -31. Let l = h - -26.8. Let y = l - -2. What is the nearest to y in -1\/7, -1, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (12\/2)\/(-3). Let j(i) = -i + 3. Let s be j(7). Sort p, s, 3.\nAnswer: s, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + h**4 + 0*h**3 - 3*h - 41*h**2 + 41*h**2 to the form n + b*h**4 + p*h + a*h**2 + c*h**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -34 + 14. Calculate the remainder when 19 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176985013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0.1, -39, -4, 7, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 16. Let t = 7 - j. What are the prime factors of t + 1 + -1 + 7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 4*z + 13*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 + 8*k**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139722.\nAnswer: 2, 3, 11, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.11 + 18. Let x = 0.41 + w. Let h = x + -4.3. Which is the biggest value? (a) h (b) 2\/15 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -1. Let o = 24 + -25. Suppose 0 = 2*f + 3*y - 22, -f + 5*y + 5 = 4*f. Which is the closest to 1? (a) o (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -412.204?\nAnswer: -411.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 21?\nAnswer: 20\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 26*h**2 + 188*h + 40. Let y(t) = 9*t**2 + 63*t + 13. Let o(b) = 3*v(b) - 10*y(b). Let w be o(-5). Calculate the greatest common divisor of 640 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w - 8. Suppose -d = 4*l - 21 - 59, 2*d = -l + 20. What is the units digit of j(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 424?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -u + 4*u - 4, u = -2*o - 2. Let k = o + -2. What is the least common multiple of 3 + 8 + -4 + k and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56200*g**2*n - 25*g**2 - 24364*g*n + 155*n wrt g.\nAnswer: -112400*n - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 7. Let y be o(4). Suppose -2*a = -5*a - 3*m + 6, 2*a = -y*m + 3. Solve a*c = -3 - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974\/49*28\/3 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3086 - -4695. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + 7. Let k(p) = -p**3 - 7*p**2 + 24*p + 61. Let f be k(-9). What is the greatest common factor of i and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449455*s**3 - 899074*s**3 + 449616*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 + 11*l - 19*l + 8*l.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 134236.9 to the nearest one thousand.\nAnswer: 134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22812 is divided by 43?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 36. Let b be k(16). Let u be 14\/56 + (-13)\/b. Which is smaller: -8\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 143 = 2*i + 26, i - 56 = 3*k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1416 divided by 354.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-4*h + 0*h + 2*h) + (-12 - 2*h + 0*h + 3*h)*(4 - 2 + 0).\nAnswer: 4*h - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 15*n - 48. List the prime factors of p(7).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(95)\/sqrt(245)*-2 + -1*(-3 + sqrt(76)*-1 + sqrt(76))**2.\nAnswer: -8 - 2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 11 + 13 = -5*v, -2*v - 12 = -b. Which is smaller: 8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2) - ((-280)\/1260)\/(8\/(-6))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4233288*f**3*j**2 - 12*f**3*j - 2*f**3 - 2*f**2*j - 13*f**2 - 3*f*j**2 + 2*f*j - 15*f - 1400*j**2 wrt f?\nAnswer: 25399728*j**2 - 72*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7999 is divided by 285?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1170975 or -1170974?\nAnswer: -1170974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-1\/4)*h)\/((h**0*h)\/h)*h**(-2\/5)\/(h\/(h*h\/(h*h\/h**(-4)*h))) assuming h is positive.\nAnswer: h**(-73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 8 (c) -5\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164.907 minus 6?\nAnswer: -1170.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1385\/4446 - 1\/234. Let x = -462\/2869 + -7\/302. Let k = x + f. Which is the second smallest value? (a) k (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(11) + 2 + sqrt(99))*5.\nAnswer: 13 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2830078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**4\/24 + q**3\/6 - 9*q**2. Calculate b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 25*r + 271. Let v be w(7). Let y(g) = -3*g**2 - 2. Calculate y(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.11 - 3.2. Which is the closest to y? (a) -5 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - 2.3. Let w = -2.72 - r. Let v = w + -0.08. What is the biggest value in -5, v, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2165 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 6*a - 2*h + 44 = 0, 2*a = -5*h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*q + q - 10 = 0, 2*q = -2*w. Sort -4, w, -1 in decreasing order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/24 + d**3\/6 + 2*d**2. Let u(s) = 14*s - 8. Let z(c) = -12*n(c) - u(c). Let b(f) = 2*f + 3. Calculate 6*b(l) + 5*z(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.02 + 1.02. Let w = x + 28.8. Which is the smallest value? (a) 1\/5 (b) -1 (c) w (d) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69b (base 13) to base 11\nAnswer: -949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (485\/(-60) - -5) - (-715)\/60.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -4\/7, 1, -25 in increasing order.\nAnswer: -25, -4\/7, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1795 - -1799. Calculate the remainder when 722 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 178*3\/(-174) - -3. Let r = 13.6 - -38.4. Let p = -55 + r. Which is the smallest value? (a) -4 (b) v (c) -0.2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142221 is divided by 714059.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3*-1 + 11 + -22.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18.702496 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 201407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*s + 94, -22*z + 719 = 3*s - 201. Solve 0 = -38*b - z + 231 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from yvipmiivmvvipmvyvpmp?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21689004 a multiple of 834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7928499*b - 5749028 wrt b.\nAnswer: 7928499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -759 + 759.2. Let t = -3 - -3.4. Which is the third smallest value? (a) f (b) -2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2513619, 5027236, 7540851, 10054464, 12568075, 15081684, 17595291?\n\"Answer: -n**2 + 2513620*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.19 - 6.19. Let l = -0.2 - -0.05. Let w = -7.15 - l. What is the third biggest value in f, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) + (-20)\/15. Let q be (u - 0)\/(4\/(-6)). Factor 2*y**3 - y**q + y**5 - 2*y**5.\nAnswer: -y**3*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38297.1 minutes in nanoseconds?\nAnswer: 2297826000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 6*o + 4. Let b be n(-6). Suppose b*x = t - 4*t + 3, 5*x + 2*t = 2. Suppose x = -h - 0*h + 17. Calculate the remainder when 49 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129770, 125835, 119270, 110069, 98226, 83735?\nAnswer: 66590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12000 and 493000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -91\/6*n**2 - 89\/6*n**3 + 89\/6*n + 15 + 1\/6*n**4 = 0.\nAnswer: -1, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -36*l - 7*l**2 + 70*l - 37*l. Let u(h) = -12*h**2 - 5*h. Let i(p) = 3*u(p) - 5*v(p). Let t(n) = -5*n. Calculate t(i(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2510537, -1\/10, 4.\nAnswer: -2510537, -1\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.043 + -0.243. What is the nearest to h in -3, 23, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -3 - -2) + (3 - (7 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16 - (-1 - (4 + -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-3) - 2\/(-6). Suppose m*s = -4*h - 0*h - 429, -81 = s - 4*h. Let w = -58 - s. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-27)*((-3)\/(-36))\/(-45*(-15)\/(-360))?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(378)*2 - sqrt(378) - sqrt(378)) - sqrt(378))\/(sqrt(42)\/(-1*sqrt(7))))\/(3*sqrt(81)*5*-1).\nAnswer: -sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3356 - 3260. Which is the closest to -1? (a) 2 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2413027 (base 8) to base 10\nAnswer: -661015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/15899 and 33\/35984.\nAnswer: 44008432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 8 + 22. Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2483 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1*((-270)\/15)\/(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/91 + 158\/273. Let g be -2*(-2)\/4*4. What is the second smallest value in 1\/4, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3))\/1 + 8 - 3. Let s(p) = 2*p - 7. Let b be s(f). Suppose -5*a + 16 = b. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (2 + 14 + (-13 - (19 - 3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v + 0*v)*(-5 - 2 - 5)*(1 + 3 - 2)*(55 + 61 - 18).\nAnswer: 2352*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -166, -236, -312, -394?\n\"Answer: -3*c**2 - 55*c - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2723 and 1159886357?\nAnswer: 2723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**3 - 47*z**2 + 4*z + 8. Determine d(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2470327400.\nAnswer: 2, 5, 659, 18743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2 + 2 + 56*r**2 - 247*r**2. Let k(g) = 5*g - 1298. Let c(y) = y - 236. Let j(p) = 11*c(p) - 2*k(p). Give d(j(l)).\nAnswer: -191*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.2, 59, 0.2, -4797, 1 in descending order.\nAnswer: 59, 1, 0.2, -0.1, -0.2, -4797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 2*x - x)*(-4 - 1 + 4) + 0 + 0 - 4*x + (-2*x + 4*x - x)*(0 + 1 + 0) + 2*x + 1 - 1.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.8 - -10. Let t = 0.8082 + m. What is t rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26606750297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 888 - 6152. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*l - 7, 2*l - r = l + 1. What is the first derivative of 2*n + 7*n**4 - 4*n + 2 + l*n wrt n?\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345686 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = 2. What are the prime factors of k\/((-1)\/(4\/2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235*m - 5*m + 19*m - 47*m + 2*m**2 + 193*m to p*m + o*m**2 + j and give p.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.85322l in millilitres?\nAnswer: 6853.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llggjjlljylxl. Give prob of sequence gjg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*r**2 - 116*r**2 + 61*r**2 - 65*r**2 + 48*r**2.\nAnswer: -263*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + -4 + 4)\/(47\/27871) is divided by 577?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r*r)\/r**(2\/7)*(r\/((r\/(r*r**(2\/3)))\/r))**(2\/71)*(r*r**(2\/21)*r\/(r*r**6))**(2\/33) assuming r is positive.\nAnswer: r**(24215\/49203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -5, -9 in increasing order.\nAnswer: -9, -5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*g + 16, 5*z - g = -3*g + 40. Suppose -37 = -5*l + 3*x - 2*x, -z = -2*l - 3*x. What is the remainder when 20 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5\/9 + 110*g**4\/9 + 1492*g**3\/9 + 5884*g**2\/9 - 166*g - 666 = 0.\nAnswer: -37, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0442 - 2.0021.\nAnswer: -1.9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + s - s**2 - s + (0 + 0 + 2*s)*(2*s - s + 0*s) - 7*s**2 - 64 + 64.\nAnswer: -6*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 9*z + 43.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*s**2 + 43*s + s**3 + 0*s**3 + 0*s**3 - 62*s**2 to the form q*s**3 + h*s**2 + v*s + a and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.8? (a) 0.203 (b) 4 (c) -164\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3382 - 2918 = -14*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.06275cm to nanometers.\nAnswer: 770627500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 q, and 1 j when four letters picked without replacement from {q: 1, l: 1, o: 2, t: 2, j: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 32. Let j be c(-15). Let h(d) = d + 2. Let l be h(j). Which is greater: l or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*z**4 - 1 - z**3)*(-20 - 10 - 10) in the form p + x*z**2 + l*z**3 + f*z**4 + h*z and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k = 38 - 178 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/(-68)*-24 + (67086 - -2) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75818 greater than -75811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.99 times -0.5\nAnswer: -0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/14)\/((-7)\/182)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s**2 - 2*s + 21. Does 29 divide z(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + (6 - 1) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 1079 = 2155. Suppose -s = -8*s + j. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1867 = -131*w - 392 + 163 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*3\/(-10))\/((-21807)\/(-4846))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 + 42. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p + 4*l + 26 = 32*p, -3*l - 99 = 28*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l. Let g = 10 - 10. Let r(y) = -5*y + g*y + 5*y - y. What is m(r(t))?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 12:13 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -359114 (c) 8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 14*g**2 - 168*g + 158. Let x be h(11). Sort -23, -6, x in decreasing order.\nAnswer: x, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9468 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30056*n = 29713*n - 61362*n - 101952 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**6\/360 + w**5\/120 + 89*w**4\/24 - 2*w**3\/3 + w. Let c(f) be the second derivative of r(f). Is c(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d - 5*d - 2*d)*(0 + 0 - 1) + 2*d + 12 + 7 - 14 to the form c*d + t and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2897 + 1378*w**3 + 1658*w**3 + 2*w**2 - 2*w - 2896. Is k(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529024.\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033276 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, -1423, -2\/15, 9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*b + 2985 = 0, -4*k + 15060 = k + 2*b. Let h = k + -12141\/4. Find the common denominator of -51\/10 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8469230 to the nearest integer?\nAnswer: 2910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 957, 815, 565, 207, -259, -833, -1515?\nAnswer: -2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 16*z**2 - 19*z - 2. Let f(k) = 4*k**2 - 4. What is m(f(t))?\nAnswer: 256*t**4 - 588*t**2 + 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1671\/(-2)*(-13600)\/(-255). Round m to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 545 and 6758.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-12 + 31 + 41 + -25)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*g + 24*g - 1576 + 496 = 25*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -44*p**3 - 2*p**2 + p + 2. Suppose -108 = -32*z - 140. Calculate a(z).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -6, 0 in decreasing order.\nAnswer: 24, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 - (-2 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y**3 + 6*y**2 + y + 226. Let n(b) = 14*b**3 + 5*b**2 + 2*b + 224. Let r(f) = 6*n(f) - 5*v(f). Find the first derivative of r(g) wrt g.\nAnswer: 57*g**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + v + 1 = 0, 2*v + 2 = -9*u + 5*u. Suppose u = 5*l + l + 6. Let p = 174 + -1220\/7. Which is the biggest value? (a) -3\/5 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1576320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*m - 138 - 317 + 102*m.\nAnswer: 2*m - 455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 336347011 - -1936?\nAnswer: 336348947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1265\/1676 - 2\/419. Let p(r) be the first derivative of -l*r**2 + 0*r - 3\/16*r**4 + 3\/4*r**3 - 1. Suppose p(k) = 0. What is k?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1094*s**2 + 2658*s**2 - 1029*s**2 + 1958*s**2.\nAnswer: 4681*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 926 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 32*y + 81. What is p(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 0*c**3 - 6*c + 1\/4*c**4 + 0*c**2 + 0. Factor a(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7 = 2*g - 17, 4*g = 2*p. Suppose 318 = g*j - 140. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, 55, -3, -4 in descending order.\nAnswer: 55, -1, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from {x: 2, c: 2, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17*k + 20*k - 175 = 0, 34 = b + 4*k. Let d(x) = x**2 - 6*x + 6. Let h be d(5). What is the greatest common factor of h and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhjjjxhhxhjh. What is prob of picking 2 h, 1 x, and 1 j?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -852 + 869. Find the third derivative of -121*b**2 + 97*b**3 + a*b**3 + 8*b**3 + 42*b**3 wrt b.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*n - 33*n + 113*n**2 + 107*n - 125*n**2 - 37*n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*g**3 - 13*a**2*g**2*j + a**2*g + 3*a**2*j - 3*a*g**2*j - 50*g*j wrt g.\nAnswer: -6*a**2*g - 26*a**2*j - 6*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/8, 2395\/8, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195982323 and 1.\nAnswer: 195982323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 631*s - 631*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jeje when four letters picked without replacement from {j: 7, e: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - -1*sqrt(40))\/sqrt(2) + 2 + (sqrt(15) - -1*sqrt(540))\/((sqrt(3) - (sqrt(3) + 2*sqrt(108))) + sqrt(3)).\nAnswer: 2 + 37*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) -2\/5 (c) -80.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/7 - 77552316*y**3\/7 + 501196809746988*y**2\/7 - 1079693704658063706228*y\/7.\nAnswer: 4*y*(y - 6462693)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/4 - (-36)\/(-48). Sort -10, j, 2.\nAnswer: -10, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 8. Let y(t) = -a - 2*t + 11 - 1. Let v(r) = -1. Calculate v(p) - y(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112212 + 112212.69767. What is v rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1510691312 to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*j = 55*j + 19*j - 83640. What is the greatest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + k - 5*k + 3*k + 3*k + (1 + 3 - 5)*(4*k - k - 4*k) + 0*k - 2*k + 4*k - 1102 - 369*k + 556 + 550 to the form i*k + b and give i.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/44)\/((33 - 10) + -26).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:47 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:39 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 11:22 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 19*i**4 + 18*i**4)*(-1 + 1 - 2 + 2*i).\nAnswer: 70*i**5 - 70*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -29039714.6 to the nearest one thousand.\nAnswer: -29040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 70. Suppose -12 + b = k. Sort 4, k, -4, 2 in ascending order.\nAnswer: -4, k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124836*o**3 - 285954*o**2 + 381*o**4 + 849*o**4 + 31338*o**2 - o + 3*o**5 + o.\nAnswer: 3*o**2*(o - 2)*(o + 206)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ljubyluujyls.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from tsakagl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*m**3 + 20\/3*m - 100 + 28\/3*m**2.\nAnswer: -4*(m - 5)**2*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8623, 8629, 8637, 8647, 8659, 8673, 8689?\nAnswer: 8707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60702201 to the nearest integer?\nAnswer: 7791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 8. Suppose 0 = -3*u - r - 8, -3*r = 4*u - r + 12. Let w be 0*(p\/u + -1). Solve -i + 5*i - 8 = w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 4*j**3 - 1 + 4 + 6.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3218, 3021, 2824, 2627, 2430, 2233?\n\"Answer: -197*l + 3415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/501, -1.7, 22?\nAnswer: -4\/501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + 2*d - 2*d + (7 - 5 - 43*d + 6*d)*(-3 + 2*d + 2 + 7)*(-5 + 2 + 1).\nAnswer: 151*d**2 + 436*d - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f + 34 = 2*g, -g - 2*f + 19 = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Suppose 0 = 7*g - g - 294. Let x(a) = -g*a + 36*a + 38*a + 3*a**2. Determine x(w(f)).\nAnswer: 12*f**2 + 50*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*c**2 + 2219*c - 1379005 wrt c.\nAnswer: -40*c + 2219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43694 is divided by 3625?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i + 9*i - 117 - 3*i - 100 + 215. Let t(r) = 2*r**2. Give t(s(q)).\nAnswer: 162*q**2 - 72*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-42))\/((-38)\/(-114))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5981.\nAnswer: 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1965205 by -3.\nAnswer: -1965205\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 4*q**2 + 5*q - 2. Give g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4851 and 0.4.\nAnswer: -1940.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/13)\/w)\/w)\/(w\/(w*w*w\/(w**(6\/7)\/w*w)))*w**5\/w*w\/w**(-4\/9))**36 assuming w is positive.\nAnswer: w**(14776\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3137 in decreasing order.\nAnswer: 3137, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 407893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 = w, -5*w + 0*i + 5 = -5*i. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 144\/115? (a) 0 (b) 3.3 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7686392.4 minutes?\nAnswer: 5337.7725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3159896 to the nearest integer?\nAnswer: 1778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*((sqrt(112) + 0 + -1 + sqrt(112) + -2*sqrt(112)*4)*-6)**2.\nAnswer: -435560 - 5184*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (158\/(-8))\/((190\/(-40))\/19). Suppose -5*q + 3*r = -x, 5*q = -2*r - 2*r + 93. Solve 5*z + 5*p = 45, q = 5*z - 2*p - 0*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(-1315)\/(-526).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + n**2 + 3)*(275*n + 596*n - 1677*n) as r*n**3 + b*n + i + q*n**2 and give r.\nAnswer: -806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -463301\nAnswer: -14825632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:27 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15439?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -193\nAnswer: -96.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001000001010 (base 2) to base 10.\nAnswer: -16906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.853082 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772246872.\nAnswer: 2, 3, 1191739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-4))\/((-9)\/(-24)). Let q = x - 5. Let m(z) = 2*z + 3. Let h(p) = -p - 1. Suppose -o - 4 = -6. Calculate o*m(v) + q*h(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 2*d. Let n be 139*(-2)\/(-4) + (-44)\/(-88). Let v be (-9)\/(-15)*-1 - (-42)\/n. Determine w(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1515.069 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 2) + (17 - 47 - -19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen halves of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -69.83. What is the nearest to c in 2\/7, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*u - 10*u - 48. What is the remainder when u is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(2\/21))\/a)\/(a**(2\/11)*a))\/(a*a**(2\/3)*a)**41)\/(((a**(-2)*a)\/a)\/(a*a*a\/(a*a\/a**(-3))*a)*a**5\/(a**(-1\/7)\/a)) assuming a is positive.\nAnswer: a**(-26695\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 0.59. Let h = -1.4 + x. Which is the nearest to 1\/3? (a) 0.3 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 25. Suppose w*i - 5*i = i. Solve i + 0*n - 2\/13*n**2 + 2\/13*n**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.29 - -0.01. Let c(v) = 3*v**2 + 3*v - 4. Let j be c(-3). Let f = -13 + j. What is the third biggest value in f, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13*k - 47. Let t be f(-4). Solve -4*d + t*m + 7 = -3, -2*m = 3*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 50*w + 65 = 53*w, 0 = -2*w + 6. What is the remainder when 182 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983 divided by -5911?\nAnswer: -983\/5911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 + 149 - 318 + 4*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -3 - 0\/(-1). Suppose -10 = -s - b*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*f + 4*f + 0*f)*(0 + 1 + 2)*(-3 + f + 3).\nAnswer: 6*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (180\/153)\/10 - 4043\/408. Let j = -59\/6 - f. Find the common denominator of 58\/273 and j.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26547?\nAnswer: 3, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228\/4163 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1703, -2950, -4197, -5444, -6691?\nAnswer: -7938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*r**3 - 196*r**3 + 56*r**3 + 68*r**3.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -129. Let v = h - 61. Let l = v + 21.56. What is l rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2595167*g + 2602452*g + 0 in the form v + s*g and give s.\nAnswer: 7285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 4537842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 33*w + 414. Give r(-13).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 w when four letters picked without replacement from wuwwwwwwuwu?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + w = 3*n + 19, 4*n = 2*w + 22. Solve -n + 17 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78992.\nAnswer: 2, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349897.\nAnswer: 31, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and ((-300)\/(-375))\/(2\/30)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 4:24 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77271002?\nAnswer: 2, 59, 654839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 + m. Suppose 2*w + 0*q = -5*q - 33, 4*w = -4*q - 72. Let u = w - -16. Let g be r(u). Solve -n - 2 = -g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1890)\/(-60))\/(-9)*120\/(-56).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 7, k: 12}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3406*s + 4637*s - 34376 = 164 + 3621 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 - 4*b**2 - 15*b - 1. Let c(z) = 3*z**3 + 5*z**2 + 17*z + 1. Calculate -5*c(y) - 6*i(y).\nAnswer: -3*y**3 - y**2 + 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.79417766 - -1212.53414466. Let v = 1194.5401 - w. Let q = v - 4.8. What is q rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/46772 and 79\/280632.\nAnswer: 280632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.6. Let v = 145869 - 145870. Which is the closest to v? (a) 6 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 1) + (-1 + 1 - -2). Calculate the remainder when (4 + (-3 - -1))*58\/p is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, 1\/2, -631 in decreasing order.\nAnswer: 1\/2, 0.23, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*a + 4, 5*t + 1263 = -2*a + 1203. Let g(w) = -3*w**2 + 9*w + 4*w**2 + 6 - 2. Calculate g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 0*b**2 + b**3 + ((0*b + 2*b + 6*b)*(-4 - 1 + 2) + 18*b - 9*b - 10*b)*(-4*b**2 + 4*b**2 - 2 - 2*b**2).\nAnswer: 51*b**3 + 50*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249709147.\nAnswer: 41, 773, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = r - 3*r. What is the closest to -0.2 in r, 2\/21, 1\/2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 3792?\nAnswer: 3792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 8*z**2 + z + 12. Let r be k(0). Solve r*f = 13*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71, 128, 185, 242, 299?\n\"Answer: 57*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -16. Let f(j) = -j**2 - 8*j - 7 + d + 3*j - 2. Let m be f(-4). Solve -5*h - p - 13 = -m, -23 = 3*h + 4*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4538 = 292*r - 5122 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1008 and -35\/122368.\nAnswer: 7709184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*z = 6, -2*n + 4*z + 4 = 11 - 11 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-14) - (-2673)\/5670. What is the biggest value in -0.3, n, -5, -15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -2)\/(6 + -5). Let k be (-2423)\/(-6) - w\/(-6). Suppose -6*i = -4*i - k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from bcxcw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/3 + 5*b**2\/8 - b\/4 - 31. Solve s(h) = 0 for h.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -109, -117, -127, -139, -153, -169?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227 - -225. Which is greater: -14 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 5) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g - 57. Let b be a(-14). What are the prime factors of 1087\/(b - -2) + 3?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a year?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-2*x**2 - 4*x**2 + 5*x**2)*(-5*x**2 + 3*x**2 - 2*x**2)*(0 + 2 + 0) to g*x**4 + q*x + r*x**2 + w + h*x**3 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -3\/5 (c) 0 (d) -0.013 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/12 + (-25)\/(-4). Let i = 10 - y. Solve -5*u + 5 + i = 4*q, 5*u = q + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/((-4)\/8 + 0). Suppose 108 = 8*o - g. What is the greatest common factor of o and 570?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-22) - (-26)\/(-20).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from pppppppppppppkpppppp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*sqrt(88)*-2 - (2*sqrt(88)*-2 + sqrt(88))))\/((sqrt(512) - (sqrt(512) + -6*-1*sqrt(512)))*-4).\nAnswer: 11*sqrt(11)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = 4*c + 44, 0 = c + 2*j + 5. Find the common denominator of (1\/(-20))\/(1\/21) and c + 7 - (-135)\/(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10177 or -10231?\nAnswer: -10231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3*5\/(-135)*-19\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 7*t**2 + 4*t + 1. Let v be 0\/(6\/18 + 10\/6). Suppose -2*s - 6 = -2*b, v*b + 12 = -4*b. What is n(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 2. Let m(l) be the second derivative of 5*l**2\/2 + l. Let s(t) = 2 + 0 - 1. Let d(r) = m(r) - 4*s(r). Determine 2*b(o) + 6*d(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -77*r**2. Let i(c) be the third derivative of -c**5\/15 - 241*c**2. What is i(j(a))?\nAnswer: -23716*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, -137, -548, -1353, -2684?\n\"Answer: -22*c**3 + c**2 + 2*c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x*x*x**(4\/5)*x)\/(x**7\/x*x**(-4))*(x*x*x**5*(x*x*x*x**(1\/6))\/x)\/(x**6*(x\/(x*x**(3\/5)\/x*x))\/x) assuming x is positive.\nAnswer: x**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5839.792 centuries to decades.\nAnswer: 58397.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 9*q - 9. Let z be n(5). Let s = z + 104. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -21*x**2\/2 - 37*x - 29. List the prime factors of c(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*1 + -1 + sqrt(12)\/sqrt(4)*2)**2 + 2.\nAnswer: -6*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 521656 and 53991396.\nAnswer: 107982792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 365891.\nAnswer: -365878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 3*u**2 + 0*u)*(1 - 1 - u)*(-1 + 2 + 0) to the form v*u + t*u**2 + j + x*u**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 596*z**3 + 4*z**2 + 4*z + 7. Let j(b) = 593*b**3 + 3*b**2 + 3*b + 5. Determine -4*j(t) + 3*o(t).\nAnswer: -584*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 77491149*(-2)\/(-6). Let f = o + 309768175\/12. Let y = f - -16360. Find the common denominator of y and -11\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*f**3*r - f**3 - f**2*r + 58*f**2 + f wrt f?\nAnswer: -114*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 5:36 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 8 = -4*n, 5*u + 5*n + 22 - 67 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76419, 76418, 76417, 76416, 76415?\nAnswer: 76414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/5)*i)**(27\/7))**(-2\/9))**(-2\/31) assuming i is positive.\nAnswer: i**(144\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 26572.\nAnswer: -132860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -48. Find the common denominator of 17\/9 and (8*n\/(-63))\/((-8)\/(-16)).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14392 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 956 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 11 = -4*n, -n = 3*n - 2*o - 14. Suppose 0 = 2*r - n, 4*z = 3*r + r. Calculate the remainder when (-72)\/(-2) + 6\/z - 0 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2931 divided by 19\nAnswer: -2931\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-81)*3\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from afg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 419 + 399 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z**3 + z**2 - z. Let w(q) = q**3 + q**2 + q. Suppose 6 = -5*b + 2*b. Let f(o) = b*v(o) - 2*w(o). Let f(p) = 0. Calculate p.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*(t\/(t**(-1)\/t)*t)\/t*t))**33\/((t\/(t*t**(-3)*t))\/(t\/t**(-1\/4)))*(t**2*t*t\/(t\/(t**(-5\/7)\/t))*t*t*t)**(-23) assuming t is positive.\nAnswer: t**(-7401\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 + 28*j + 15. Let h be w(-4). Sort h, 4, 2, -13 in increasing order.\nAnswer: -13, h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/4 - (2 - 2). Suppose u - g*l = l + 9, -5*u - 2*l = -45. Let b = 17 - u. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -162 + -209. Let b = g - -419. What is the highest common factor of b and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46935960?\nAnswer: 2, 3, 5, 391133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29360?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 157608\/132 + (-11 - -1). Sort -4, b, 0 in descending order.\nAnswer: b, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at most 125\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 5*f**2 - 7*f + 3. Let g be u(6). Let s = 3 - g. Suppose 0 = -41*i + 38*i + 24. What is the remainder when i is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 + 10)\/(-36))\/((-558)\/48 - -12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*z**4 + 288\/11*z - 128\/11 - 194\/11*z**2 + 36\/11*z**3.\nAnswer: -2*(z - 8)**2*(z - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151548?\nAnswer: 2, 3, 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrgrgrg. Give prob of picking 1 g and 3 r.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 943 (b) 16\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104844499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10 = -l, 5 - 19 = s - 4*l. Solve s = 2*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23980.89 months?\nAnswer: 1998.4075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3041737*-4.\nAnswer: -12166948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:30 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 14*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*w + 20 = 0, -2*b + 5*w - 16 = -b. Suppose -b = 4*l - g, 0 = 3*g - g + 8. Let z be (1 + (-1)\/l)*60\/(-18). Sort 4, z, -4.\nAnswer: z, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/42)\/((-3)\/(-21)). Let j be t + (-1)\/((-1)\/10). Solve -2*n + j = 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 607 + 5?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -24356 less than -219196\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 10 = 5 - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -83 - 47\/2*c**4 + 0*c**2 + 0*c - 58*c**3. What is the third derivative of x(h) wrt h?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.515871 rounded to 1 decimal place?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212 - 1480\/7. Let p(w) be the second derivative of 0 + 1\/42*w**4 + 3*w + 4\/21*w**3 + r*w**2. Factor p(c).\nAnswer: 2*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 22752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1679*b**5 - 6*b - 6*b + 7576*b**5 - 59*b**5 + 12*b + (5*b**2 - 2*b**2 - 2*b**2)*(-b**3 + 5*b**3 - 2*b**3) + 3*b**5 - b**5 - 7*b**5.\nAnswer: 9193*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1108 and -67\/198332.\nAnswer: 198332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -1) + (-110)\/(-2). Let t = 34 - k. Let b(v) = v**3 + 18*v**2 - 19*v + 6. Let s be b(t). Let w(h) = h + 2. Give w(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -1 - p**4 + 2*p + 2*p**2 - 2\/3*p**3. Let z(o) = o + 1. Let f(d) = -v(d) + 2*z(d). Find h such that f(h) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1555, -1551, -1545, -1537, -1527, -1515?\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10773806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*l + 1043357*a**2*l - 7*a*l + 25600*a + l wrt a?\nAnswer: -6*a*l + 2086714*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*k + 1486 = 0, -2*f - 2*f - 4*k = -2980. Suppose 0 = r - 2*i - 243, i = 4*r - r - f. Suppose r = -2*d + 3*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.42655 and -5.\nAnswer: -7.42655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + o**5 + 0*o**5 + (o**3 - o**3 - o**3)*(3 - 3 + 4*o**2) + 0*o + 0*o + o**5.\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0. Let b = -0.41 + j. Round b to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(7\/1)*(-58)\/(2204\/399)*-4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -210*r + 1. Is c(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13311, 51698, 115151, 203670, 317255?\nAnswer: 455906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11050 and 340.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - (12 + -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 3*h. Let j be z(2). Suppose j*i + c = -i + 10, 4*i = -4*c + 24. Let s be 10\/(-4)*i\/20. What is the closest to s in -2\/9, 0.4, 1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -13*l**5\/20 + l**4\/12 - 9*l**2\/2 + 5*l - 4. Find the third derivative of t(x) wrt x.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454942183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3408.69929.\nAnswer: -3406.69929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 10. Let r be x(-6). Suppose -r*w + 3*y = -3, 3*w - 3*y - 2 = 1. List the prime factors of (-3 - 83 - w)\/(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1200639 and 50\/36383.\nAnswer: 1200639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 87, 146, 217?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(-2\/7)*q*q)**(-5\/13)*q**(3\/8)*q\/(q*q**1)*(q*q\/(q\/(q**1\/q)))**(-1\/42)*(q**(1\/3))**4 assuming q is positive.\nAnswer: q**(-2465\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14129\/10 + -1413. Which is the third biggest value? (a) w (b) 20 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = c - 9, -2*x - 3*x = 2*c - 20. Let p(v) = -6*v**2 - x*v**3 + 3*v**3 - 2*v**3 - 2*v - 6. What is the units digit of p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -0.5, 5, -21, -1, 36, 0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 15 = f. Let y = 11 - 15. Which is the second biggest value? (a) f (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1427640 and 7\/142764?\nAnswer: 1427640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -93, -65, -17, 57, 163?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1)\/(75\/(-30) - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 17 + 107. Calculate the remainder when y is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4418.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 23*t. Let r be l(12). What is the highest common factor of 1014 and r?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -88, -74, -50, -10, 52, 142, 266, 430?\n\"Answer: m**3 - m**2 + 10*m - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4124 divided by -4.\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufuf when four letters picked without replacement from {u: 10, f: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 573517 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 921360?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34527352 to the power of 1\/2, to the nearest integer?\nAnswer: 5876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1164 and 156?\nAnswer: 15132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 16*z - 1 to the form f + j*z and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 131, 301, 549, 881, 1303, 1821?\n\"Answer: q**3 + 30*q**2 + q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - 0.37. Which is the nearest to 2? (a) m (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - a**5 + a**3 + a**5 + 3*a**5 - a**5 + (a**2 - 3*a**2 + 3*a**2)*(3*a**3 - 3*a**3 + a**3) + 3*a**5 - a**5 + 13*a**5.\nAnswer: 18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 22 + 28 = 0. Let d = b + -28. Let c be ((-422052)\/(-20) - (-4)\/10) + d. Round c to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 15 = -2*n. Solve -2*v - 4 = -n*v, 0 = -4*j - 5*v + 24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 + 49359*n + 3538296 = 0. What is n?\nAnswer: -16381, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 810 - 810. Determine v so that 0*v**4 + 2\/7*v + 2\/7*v**5 + q + 0*v**2 - 4\/7*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 5*i - 4, 21 + 3 = -a + 5*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 4:34 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1110 + -53300?\nAnswer: -52150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*f + 3*f + 55*f - 120 + 122 - 24*f to p + x*f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 159242244533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11724 + 52205. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(126) - sqrt(126)*1*-4)\/sqrt(7) + (sqrt(18) + sqrt(288) + 1)*1)*-6)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*k + 17*k + 1752. Suppose -6*j = -k - 1030. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4 - 40424*t**3 + 102131236*t**2 = 0. What is t?\nAnswer: 0, 5053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10329.93 + 10330. What is the third smallest value in 0.5, 0.4, i, -5, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 12:11 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.51 (b) -22 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + p + 2*p - 1, 4*p = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {x: 6, k: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 27. Let b be x(5). Suppose -3*q - 22 = -5*d + q, -b = -d - 3*q. Let r = -48 + 76. Calculate the remainder when r is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-15)\/(-6))\/((8\/(-40))\/(8\/20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 5002064?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-45))\/(8 + (-423)\/54). What is the biggest value in 4\/7, r, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1319*x**3 + 15 + 1246*x**3 + 15 wrt x?\nAnswer: -219*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -493177\/3 - -166635. Solve -232\/3*p + x + 2\/3*p**2 = 0.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 116*k**2 - 92*k + 2123. Determine h(-117).\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -8*u + 12. Let x(s) = 4 - 2*s + u*s**2 - 2*s**2 - 3. Let n be x(4). What is the greatest common divisor of n and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f + 5. What is j(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14485 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7705)\/207 + 38 + -1 + 11\/9. Solve 0 = 13*y + 14 - a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-14))*t)**17)**(6\/7) assuming t is positive.\nAnswer: t**(-1326\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5 - 41*y**4 - 309*y**3 - 691*y**2 - 614*y - 192.\nAnswer: -(y + 1)**3*(y + 6)*(y + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:10 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*w - 4, -w - 5*m - 22 = -0*w. Suppose -38*c + 53515 = -w*c. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:10 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1985 + 18*d - 52*d + 30*d - 3918 + 1933.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -17*q**2 + 1111*q + 1572. What is c(67)?\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j + 16. Let i be (-3)\/(-18) + (-9)\/54. Let d be a(i). Suppose -9 - d = -5*b. Calculate the remainder when 28 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z**2 + 204*z - 30. Give f(-6).\nAnswer: -1578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008670584 to 5 dps.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 5248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*j + 616 - 222 + 114*j**2 - 390)*(0*j + 0*j + 2*j) to u + c*j**2 + h*j + z*j**3 and give z.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1, -14, 4 in descending order.\nAnswer: 4, 1, -1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5425 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 10*h + 10. Suppose -111 + 6 = 15*w. Determine d(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 2. Let n be m(2). Let y(w) be the second derivative of w**3\/6 + w**2 - 8*w. What is the lowest common multiple of y(n) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 = 2*d + 19, 4 = d + 3*x. Let j = 8.4 - -0.6. Let f = j + -10. What is the closest to 2 in -0.4, d, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65.7 and 4.\nAnswer: 262.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 47, 133, 319, 641?\nAnswer: 1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -89 in descending order.\nAnswer: 14, -2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1035 and 172017.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -13*g**7\/105 + g**6\/24 + 45*g**4 + 3*g**2 + 119. What is the second derivative of r(w) wrt w?\nAnswer: -312*w**2 + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 50 (b) -5\/3 (c) 5 (d) 131 (e) -4 (f) -2 (g) -5\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 5. Let s be t(0). Suppose 0 = -q + 4*q + 5*k - 123, s*q - 177 = k. What is the highest common divisor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-3 + 1))\/1. Let y be 1\/q + 3\/9. Let d be (y - -1 - 0)*2. Solve z - d*z = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 459*b - 177*b + 1109 + 3403. Let t(m) = -m**2 - 8*m + 135. Give t(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 + 161 - 15*f**2 - 413.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/(-28) + 11)\/((-30)\/8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*5\/(-35)*56\/(-64)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-5)*60\/144. Let u(n) be the second derivative of n**2 + 0 - 1\/6*n**4 - 4*n + t*n**3 - 1\/20*n**5. Determine u(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2071729*w*x**3 + 3*w*x**2 + w + 32150 wrt x?\nAnswer: -12430374*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**7\/70 - x**3\/2 - x**2\/2 + 3. Let t(d) be the second derivative of v(d). Differentiate t(f) with respect to f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18486 is divided by 1150.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/8 + (-6)\/4. Find the second derivative of o*f - 2*f + 0*f**4 - f**4 wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 178\/5*s + 177\/5 + 1\/5*s**2.\nAnswer: (s + 1)*(s + 177)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24203 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.437923 kilograms in tonnes?\nAnswer: 0.003437923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.1 in -1\/5, 11, -2\/7, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148729529?\nAnswer: 13, 37, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -165a - 11b?\nAnswer: -1778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-503 - 848 - 2130 - 1179 - 2581)*(2*s**3 + 3*s**3 - 2*s**3) to the form o*s**3 + x*s**2 + n + i*s and give o.\nAnswer: -21723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 5)*1 - -3. Suppose 0*t + 2*t - p + 5 = 0, 4*t + 13 = v*p. Let u be 2*(-1)\/4*-2 - -1. Put -3, t, u in descending order.\nAnswer: u, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/40)\/((-11)\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 times -109394\nAnswer: 47039.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**2\/j)*j**1)**(1\/47) assuming j is positive.\nAnswer: j**(1\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -18\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 40*k + 202. Let c be g(-5). Solve 0 = -3*b + 3 - 0, c*x + 5*b + 1 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24446\/56077 or 1?\nAnswer: 24446\/56077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16 - (-36)\/96?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*i**2 + 0*i - i - i in the form s*i**2 + n*i + o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = h + 5*k, 2*k = -h. Suppose 2*r + 3*r - 5*v = 10, h = -3*r + 2*v + 2. Let p = 9\/14 + -53\/126. Which is the nearest to 0? (a) p (b) -2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.998 + 7.998. Which is the nearest to 0.7? (a) p (b) 0.05 (c) -1\/2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*w**5 - 38*l**2*w**2 + l**2 + l*w + 1 wrt w.\nAnswer: -40*l**2*w**3 - 76*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/(3\/(-24)) + 77074. Round z to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*c - 0*c - 19, j = 5. Let v(m) = -m**3 - 7*m**2 + m - 6 + 2*m**3 + 0*m. Let a be v(7). Sort -1, a, c.\nAnswer: c, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 410761686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 14 - 14)*(109 - 272 + 130).\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8.5*-200.435\nAnswer: -1703.6975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 1. Let d be j(2). Suppose 3*o = -3 - d. What is the units digit of 3 + o\/(-2) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*b**3 - 1192*b**2 - 1261*b + 449572221 wrt b.\nAnswer: 45*b**2 - 2384*b - 1261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121210 (base 3) in base 14?\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 145 + 135 = 2*k - 850 for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20065354 and -5.07.\nAnswer: -20065359.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 32*q + 327. Let t(n) = -16*n - 160. Let x(u) = 4*o(u) + 7*t(u). Determine x(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 393 + -4?\nAnswer: 38d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20822 or -20818?\nAnswer: -20818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/(22464\/(-195))*2*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 15*i**3 - 4*i**2 - 158*i - 2. Let a(r) = 7*r**3 - 2*r**2 + r - 1. Determine 2*a(u) - c(u).\nAnswer: -u**3 + 160*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/6 + 4*j**3\/3 + 27*j**2\/2 + 19*j. Calculate the remainder when q(-6) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*d**3*o*z**2 + d**3 - 88*d**2*o*z - 2*d**2*o - 2865*o + 3*z**2 wrt z.\nAnswer: 38*d**3*o*z - 88*d**2*o + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -397, -654, -1377, -2800, -5157, -8682?\n\"Answer: -39*g**3 + g**2 + 13*g - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1322 + 2001003?\nAnswer: 1333021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8711 - 4407. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416360738?\nAnswer: 2, 313, 665113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z + 180. Let m be r(-25). What is the remainder when 81 + 1\/(-3) + 10\/m is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -416 - -278. Let a = -139.01 - f. Let d = -0.01 - a. Sort -0.4, d, -4 in ascending order.\nAnswer: -4, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5 - 2. Suppose z - g*m - 69 = 0, -2*m - 57 = -3*z + 122. Let i = z - -20. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 + 813*p**2 - 424*p**2 + 10*p**3 - 389*p**2.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/60 + 11*z**4\/12 + 10*z**3\/3 - 27*z**2. Let d be j(10). List the prime factors of (-6)\/(-3) + 1 + d.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gchchhhccl. Give prob of picking 1 h and 1 g.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 + -67. Let m = x - 42. Suppose -57*c + 4*h + 60 = -55*c, 5*c = 16*h + 162. What is the least common multiple of m and c?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2135153 (base 8) to base 2\nAnswer: 10001011101001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 18. Let o(f) = -3 + 4*f**2 - f**t - f**2 + 8*f**2 + 18 - 2*f. Let q be o(11). Is q equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26500 and 14204.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172 - -146) + -12 + (-2 + 5 - 1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0.3, -4.\nAnswer: -32, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35448127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let b(h) = -185*h. Calculate b(n) + 74*l(n).\nAnswer: -111*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 6. Let g(j) = 3*j - 17. Let b(a) = 6*g(a) + 17*t(a). Let f(h) be the first derivative of 2*h**2 - 8. Give b(f(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 213*s**2 - 2*s + 2. Let a be t(1). Suppose -2*z = i - 145, -4*i + i = 3*z - a. What is the remainder when z is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(891) + 2 + sqrt(891) + sqrt(891))**2*3 + (6*(sqrt(66) + sqrt(66)*2))\/(-1*1*sqrt(6)).\nAnswer: 954*sqrt(11) + 72207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/59 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/27760 and 13\/1152.\nAnswer: 1998720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 3*d + 1. Let y be g(-4). Let n(t) = 3*t**2 - 5*t - 3. List the prime factors of n(y).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:08 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:32 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.732633g in milligrams?\nAnswer: 9732.633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*l**3 - 1030 - 10493*l + 10493*l + 1030.\nAnswer: -58*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*d + 132 = 2076 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3. Suppose -o*s = 2*h + 2, -2*s = -3*h + 3*s + 30. Suppose -5*l = -3*w + 15, -5*l - 15 = -h*w + w. Which is bigger: w or 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 538374636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v = -15 + 120 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -133. Suppose -j + 15 = l. Solve -5 = -3*r + 4*r - p, l*r + 2*p + 2 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - 44. Let u = 3.81 - 2.81. Which is bigger: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4)\/(u\/(u*u*u**3)))**(-46))**(-3\/19))**(-25) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468.517 rounded to 0 dps?\nAnswer: -1469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73\/201 - 2\/67. Let g = 44 + -41. Which is the smallest value? (a) -3 (b) g (c) -2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -18. Suppose -2*p + 19 = w*c, 3*p + 0 = 4*c - 14. Suppose -1\/3*y**3 - 8\/3*y + 4\/3 + 5\/3*y**p = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45891 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1115, 2286, 3475, 4688, 5931, 7210, 8531?\n\"Answer: n**3 + 3*n**2 + 1155*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = -19*a + 78. Is 14 a factor of (17184\/(-240))\/(a\/(25\/2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**2*o*t**2 + 10*j**2*o + 8*j**2 + 2*j*o*t + j*t**4 - j wrt t.\nAnswer: 6*j**2*o*t + 2*j*o + 4*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l = 621 - 881 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 divided by 881?\nAnswer: -189\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -63 + 64 + (0 - (-1 - 6))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -463, 0.29, 1601, 3 in decreasing order.\nAnswer: 1601, 3, 0.29, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 327 - 213. Suppose -3*c + b = -3*z + 6*z, 0 = 5*c + 3*z - 184. Let g(f) = 7*f**2 - f - 1. Let d be g(-1). What is the greatest common factor of c and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-120)\/(-21) + 4\/14. Let u(w) = 9*w**3 - 5*w**2 - 5*w + 5. Let m(x) = -77*x**3 + 42*x**2 + 42*x - 42. Calculate k*m(g) + 42*u(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -486, 4, 5, -1, 165 in descending order.\nAnswer: 165, 5, 4, -1, -3, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b41 (base 12) in base 14?\nAnswer: 26ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 289060905 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -2*z**4\/3 + 43*z. Let i(l) = 3*l**2. Calculate b(i(w)).\nAnswer: -72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (0 - -6))\/(462\/(-308))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h - 48 = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 8*y**2 + 7*y + 5. Let c be a(7). Suppose -c*g + 11 = -14. Suppose -5*v + 100 = -0*v. Calculate the greatest common factor of g and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 292288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 212, -18513, 5 in decreasing order.\nAnswer: 212, 5, -18513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -240.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -18*q - 82. Let m be x(8). Let t = -224 - m. Solve t*o = -5 + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -0.4, 341 in decreasing order.\nAnswer: 341, -0.4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 14*o**5\/3 + 13*o**4\/24 - 7*o**3\/3 + 33*o**2. What are the prime factors of n(1)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1\/3)*n))**(-12)\/(n**(2\/7))**(-17\/4) assuming n is positive.\nAnswer: n**(-39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 15618*d**2 + 46861*d + 12. Determine g(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -803*r**7\/7 + r**3\/3 + 1397*r**2 + 6831. What is the third derivative of i(c) wrt c?\nAnswer: -96360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 327305 + 3?\nAnswer: 327308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 213021?\nAnswer: 213014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*i - 4, 0 = 2*x - 4*i - 13 - 23. Suppose 5*n - x = -4*u, -3*u + 6 = -3*n + 7*n. Solve 0*q**3 - q**3 - u*q**2 - 8*q**3 = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 137048 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.57 + -0.43. Sort -0.4, z, -5\/3, -3 in descending order.\nAnswer: -0.4, -5\/3, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5610)\/(-425) + (-13 - 1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/3 - -4*2\/2. Suppose -2*l + 100 = -4*q, -5*q - 147 = -y*l - 0*l. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -829*j - 3. Let p(u) = 84546*u + 305. Give 3*p(y) + 305*v(y).\nAnswer: 793*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 21 = -3*f, -2*f + 3*a = 2*a - 3. Let y(w) = 7000*w. Let m be y(f). What is m rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3\/2, 0.1, -0.3, -0.197?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.868 - -33.168. What is the closest to x in 3, -2\/5, -1\/38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdprprppppppdpprgrp. Give prob of sequence drrr.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118774846?\nAnswer: 2, 3, 353129141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*m - 114*m - 122*m = 2674206. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4 = -q, -4*o - 3*q = -550. Suppose 2*b = 5*i - 967, -2*i + 3*b + 398 = 5*b. Let j = i - o. Calculate the greatest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2792, -23 in descending order.\nAnswer: 3, -23, -2792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675942 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*z**2 + 82*z**2 - 40*z**2 as m*z + k + c*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w - 1. Let i(k) = 0*k - 2*k + 3*k. Let a(m) = 5*i(m) - t(m). What is the first derivative of a(p) wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/5, -118, 0.3.\nAnswer: -118, 0.3, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145491 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3314774781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 12. Let o = r - -5. Let i = -0.16 - -0.06. Are i and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*w - 28 + 8*w**2 - 29*w + 44*w)*(-5 + w + 5) to the form c*w + s*w**2 + h + m*w**3 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.6 + -7.6. Let y = n + -16. Let r = 46 - y. What is the fourth smallest value in 0, 0.3, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111 - -21040?\nAnswer: 21201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4126360.\nAnswer: 2, 5, 7, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204578?\nAnswer: 2, 11, 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 52\/3*d**2 - 147 - 100\/9*d**3 + 4\/3*d**4 - 20\/3*d. Factor k(s).\nAnswer: 4*(s - 5)*(s - 1)*(4*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 13. Let i be (8\/(-20))\/(2\/g). Let y be 6 + 3\/(-3) + i. Solve 13 = -f - 4*j, y*j + 23 = 5*f + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let o(l) be the third derivative of -l**5\/12 - l**4\/24 + 5*l**2. Let y(b) = o(b) + 3*w(b). Give y(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6605410.748 rounded to the nearest 100000?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18072 - -18087. Let d(w) = -w**2 + 3*w**2 - 2 + 17*w - 3*w**2 - 26. Calculate d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 2*r**2 - 4*r. Let o be g(-3). Let i be -3*(-2 + (-22)\/o). Calculate the greatest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1\/2*((-2)\/3)\/(69\/(-1182591))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.532 + 0.023. Let i = 0.445 + g. What is the closest to -6 in -1\/6, i, -2\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163219, 326299, 489357, 652393, 815407, 978399, 1141369?\nAnswer: 1304317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 968\/51 + -44\/357. What is z in -16\/7*z**2 + k - 524\/7*z = 0?\nAnswer: -33, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*n - 2*n + 32, -5*c = -5*n - 5. Suppose -r - d + 38 = -6, -r = -n*d - 44. Let t = r + -32. Which is bigger: 13 or t?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 12. Let c be s(-4). Suppose 2*t = -5*m + 57, 2*t - 4*m - 4 - c = 0. Suppose u = 3*u - t. Calculate the smallest common multiple of u and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2319 (base 16) to base 15\nAnswer: -29e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7304*x - 242. Let g(p) = -365*p + 12. Let v(u) = 121*g(u) + 6*y(u). Let a(h) = -4*h**2. What is v(a(s))?\nAnswer: 1364*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 5*p**7\/14 - 7*p**6\/30 + 142*p**3\/3 - 21*p - 8. What is the second derivative of d(j) wrt j?\nAnswer: 300*j**3 - 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2874 divided by -66167\nAnswer: -2874\/66167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - a - a - 318 = 0, 0 = -4*q + 5*a + 1269. What are the prime factors of q?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/3 (b) -1389 (c) -0.14 (d) -4\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -676 - -129. Let a = m + -32453. Round a to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1775 is divided by 161.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36381029 and 1691.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80784 and 648?\nAnswer: 242352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8956944695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c + 2*b + 6, 2*c - 4*b = -2. Let t(s) = -4*s**3 + s**3 - c + 2*s**3 - 8*s**2 + s. Is t(-9) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l*m**3 - 6901623*l*m*o**2 + 770*l*o - 57*l - 6*m**3*o**2 + m**3*o + 2*m**3 + 22*m*o - 2*o wrt o.\nAnswer: -13803246*l*m - 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*d + 1264 + 5672 = 95*d - 42*d for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1978044.\nAnswer: 2, 3, 164837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81\/4 + -417\/20. What is the third biggest value in j, 0, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 + 18 - 73)*(-2 - 2 + 2)*(0*h**4 + 0*h**4 + h**4).\nAnswer: 312*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8392 is divided by 402?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnddnd. What is prob of picking 2 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 844046821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*f - 9, -4*f - 24 = -12*z + 8*z. Solve -z*u = u + p + 6, -8 = -4*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1142604 and 16524.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:57 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/16356 and 19\/106624764?\nAnswer: 106624764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4262*v**4 - v**2 - 20276.\nAnswer: -17048*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -468 - -464. Which is the biggest value? (a) 56 (b) -3\/8 (c) x (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (5 - 4) - (-61 + 65)) + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (38\/8 + (-18)\/(-72)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175270 rounded to the nearest 1000?\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/39 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 3*f. Let b be 6\/(-4)*2 + 0. Let k(x) be the first derivative of -x**4\/4 - x**2 - 19. Give b*n(c) + 4*k(c).\nAnswer: -c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhpypiyyvvychyv. Give prob of picking 1 v and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10890 divided by 5?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(2448))**2*-3*3.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4353428 rounded to 3 decimal places?\nAnswer: -0.435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1, 12.\nAnswer: -5, -2, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 0*p**3 - p**3)*(3 - 4 - 1)*(3 - 1 + 5).\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 12) + 4 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264370.\nAnswer: 2, 5, 26437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 19*w + 10. Let d(z) = z**3 + 10*z**2 - 6*z - 20. Calculate the remainder when d(w) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1130 + 1362. What is the remainder when r is divided by 70?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 4. Suppose 5*a = l + l, -6 = -3*a. Suppose l*z - 27 = n - 4, z - c = 2*n. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4344*j - 624. Does 28 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21299, 42606, 63913, 85220, 106527?\nAnswer: 127834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2577\/5*y + 3\/5*y**2 + 0 = 0.\nAnswer: 0, 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3415 + -0.2206. Let w = -0.0209 + k. Sort 3, -2\/13, w in increasing order.\nAnswer: -2\/13, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooeoeooeoooeeo. What is prob of picking 1 o and 2 e?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 165 (b) -1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 8:57 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1447 + 1454. Let s(f) be the second derivative of p*f + 1\/48*f**4 + 0*f**2 + 0 + 1\/12*f**3. Solve s(w) = 0 for w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*y + 4292 = 83*y - 13*y + 1022 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199*j**3 - 393*j**3 - 46*j + 192*j**3 + 18*j**2 + 4 - 13*j**2 to s + y*j + t*j**3 + v*j**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 29.95. Put -2\/11, -2, w in ascending order.\nAnswer: -2, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157992 is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v - 36*v + 12*v + 12*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 174 + c5?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 1. Let v be t(-1). Suppose -5*y = -h - 4*h + 150, y = -v*h + 82. What is the greatest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5253027?\nAnswer: 3, 13, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + (-6)\/12\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 61149906423.\nAnswer: 61149906428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(-1 + 1 + v) - 9 + 0*v + 10 + 15*v)*((-3*v + 3 - 3)*(0 + 0 - v) + 0*v**2 - v**2 + 0*v**2).\nAnswer: 26*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 1. Let w(j) = 5*j + 2. Suppose 2*n = 9 + 1. Let m(z) = 4*z + 4. Let f be m(-3). What is f*t(i) + n*w(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 24\/21)*(-14)\/(-4). Suppose -a = -4, -y*a + a = -3*h + 1425. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*n = 48, -5*y + 4*n + 51 = -45. Calculate the lowest common multiple of y and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x. Let d = 1\/313 + 311\/626. Let b(n) be the first derivative of 5 + d*n**2 + 0*n. What is y(b(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28154 is divided by 4021.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnin when four letters picked without replacement from {i: 2, n: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 0.3 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2112*a - 188. Let x(j) = -2111*j - 125. Calculate -2*n(z) + 3*x(z).\nAnswer: -2109*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 at least 222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2557350 (base 9) to base 5\nAnswer: -324140243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**4\/4 + 4*f**3\/3 + f**2\/2 - 4*f - 7. Let m be t(-3). Find l, given that 0*l + 9*l - 18 - l**m + 2 - l = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1802 + 8858 = 260*u for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.30298 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a - 40. Let g be p(13). Let t(z) = 5*z - 4. Let s(k) = 30*k - 25. Give g*t(h) - 4*s(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/21 + (-10)\/(-6). Suppose 3 = 2*s - k. Let l be ((-32)\/24)\/(s\/(-3)). Solve -3*i - l*y - 22 = 0, 0*i = i + y + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + -2 - 0 - 2. Let n be ((-9)\/(-5))\/(f\/20). Calculate the greatest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 23569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4\/4 + 4*r**3\/3 + r**2 - r - 2. Let v be c(-3). Let q be (20\/(-3))\/(v\/102). What is q rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + q - 4*q + 0*q + (-5*q + 3*q + 0*q)*(4 - 3 + 2) + 2*q - 2*q + 2*q - 43495 - 209*q + 43495 as l*q + n and give l.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*r + 5*k, -5*r + 310*k = 311*k + 32 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 11*f + 2*f + 8*f + 66 = 9, 9 = 3*n - f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 241801\/6 - (-112)\/(-336) - 2\/(-12). Round a to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22776 divided by -68.\nAnswer: -5694\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1270575 and 8460.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18127?\nAnswer: 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12*x + 29*x - 21*x**2 - 13*x - 4*x. Let k(o) be the second derivative of 2*o + 1\/3*o**3 + 0 + 0*o**2. Calculate b(k(f)).\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -68 + -2?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 333596\/33 + -10108. Calculate the common denominator of -163\/30 and x.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-8)\/(-720))\/((-2)\/(-24)*-5)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*v + 629 = 8629 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a + 56. Does 8 divide c(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1076790\/17 != -63340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2 + 28*a + 64 = 0. Calculate a.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2136608405 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 + -15 + (-1 - 55)\/(-4). Let d = 19 - -101. Calculate the highest common divisor of k and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**4\/6 - h**3\/6 + 7*h**2. Let w be g(-2). Let f(o) = 3 + 5 + o**2 - 2*o**2 + 4*o + 1. Give f(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 48\/5. Let b be (-7)\/((-49)\/(-6))*1. What is the nearest to -0.3 in i, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18146)\/18142 - (-3 + 2). Let q = -10495105\/190491 + f. Let c = q - -55. What is the closest to 1.1 in -0.5, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*i - 8 - 298. Solve 3*f + 28 = -5*w - i, -w - 3*f - 17 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938121161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(4 + -30). Let l = 4 - i. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 10*k**2 - 33*k - 357. Is 35 a factor of q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -217 - -739. Suppose -3*p + a = -4*p + 123, 4*p - f = 2*a. Suppose 3*w + 5*w = p. What is the lowest common multiple of 18 and w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 8918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20216712 and 112440.\nAnswer: 101083560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 2 - (60 - 75)) + 9\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141602697 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/11 (b) -9 (c) -1 (d) -26030 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 1437 = -327. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + z**2 + z - 1. Let a = -13 - -19. Let v(x) = -5*x**3 + 2*x**2 + x + 7. Let h(p) = a*l(p) + v(p). Determine h(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 80, 684, 2\/3, -3, 0.1, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80779264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3516620 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-60)\/16)*(-64)\/16768.\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v**2. Let z(u) = -3*u**2 - 17*u - 17. Let j(y) = -y**2 - 6*y - 6. Let o be (-6)\/(-15) - (-28)\/5. Let h(a) = o*z(a) - 17*j(a). What is m(h(t))?\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 16) in base 4?\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 1\/12*c**5 + 0 + 0*c**3 + 0*c + 0*c**4 + 2*c**2. Let b(l) = -2*l**2 + 0*l**2 + l**2. Calculate b(f(j)).\nAnswer: -25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*v**3*x**3 + 11*v**3*x**2 + 2*v**3 - 6*v**2 + 3*v*x**3 + 2*x**3 - 6*x wrt v.\nAnswer: -522*x**3 + 66*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jja when three letters picked without replacement from jajaajjajjjajjjaaaa?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/160 + 211*f**5\/240 - 3745*f**4\/96 + 1225*f**3\/24 + f**2 - 33*f. Factor a(g).\nAnswer: -(g - 35)**2*(3*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -273.39 from 397.\nAnswer: 670.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1444, -1927, -2410, -2893, -3376?\n\"Answer: -483*y - 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63549, -127052, -190509, -253920?\n\"Answer: 23*n**2 - 63572*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t. Let l(d) = d. Let c(n) = -6*l(n) - y(n). Let h(v) = 11*v. Determine h(c(w)).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjjlyyjjlyi. What is prob of sequence kyjl?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h + h)*(4*h**2 + h**4 - 4*h**2 + (3*h**3 + h**3 + h**3)*(-1 - 2*h + 1) + (h + h - h)*(21*h**3 + 22*h - 22*h)).\nAnswer: -24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 - 218*j - 440 = 0. What is j?\nAnswer: -2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -12*y. Suppose 3 = -5*j + 13. Let i(q) = 4*q**2 + q**j - 4*q**2. Give i(h(m)).\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5543358370 to the power of 1\/3, to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -14. Let z(q) = 3*q**2 - 5*q. Let j(u) = -2*u**2 + 4*u. Calculate m*j(x) + 4*z(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770635947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 55 - 11 - 38 - 8*z**4 + 6*z**3 wrt z.\nAnswer: -32*z**3 + 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 6*r**2 + 5*r + 8. Let t be f(7). Is 10 a factor of 4\/t*(-360)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.291 + 30.291. Let y = -239726654.9999906 - -239726625. Let m = v + y. What is m rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/42*7\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2*j + 6 - 1726*j**2 - 12 + 3 - 3.\nAnswer: -1726*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222012001010 (base 3) to base 12.\nAnswer: 20a349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 + 748 = 248*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-146)\/4 + 3). Suppose 0*r + 1065 = -5*r. Let b = i - r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*z + 4732 = -0*z + 41*z. What is the greatest common factor of 14392 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + 0*a**3 - 2*a**3)*(1292 + 1155 - 362) + 4*a**3 - 4*a**3 - a**3.\nAnswer: 2084*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-9 + 8))\/3*9\/10.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 893.\nAnswer: -4\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4314 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, -14, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5353, 11068, 17159, 23632, 30493?\nAnswer: 37748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7794643 divided by 1?\nAnswer: 7794643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 17. Let q be h(-8). Suppose -q*x + 11*x - 8 = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296370371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 2*m - 3. Let h be k(-3). Let z(t) = t**3 + t**2 - t + 7. Let y = -16 + 27. What is the remainder when y is divided by z(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48480 (base 11) in base 9?\nAnswer: 115647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/36212 or -164?\nAnswer: -1\/36212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/45*-3)\/(45\/675).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 2:18 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -103*f**2 + 3*f - 81. Let l(v) = -51*v**2 + 2*v - 40. Let g(s) = -7*l(s) + 4*m(s). What is the second derivative of g(w) wrt w?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a - 5*a + 13*a as v*a + p and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 + 21*k - 29. List the prime factors of v(10).\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1720040714?\nAnswer: 2, 7, 179, 379, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 141 (b) -0.3 (c) -2\/5 (d) -1 (e) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 231 = 7*h. Let w be 90\/h + (-2)\/7. What is the units digit of 551\/w + (-11)\/(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d6024 (base 16) in base 5?\nAnswer: -443101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - j + 16 = -4*u + 13 - 27, j + 6*u + 52 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1457 = -1178. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12329298959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62, 108, 154, 200?\n\"Answer: 46*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*a - 1800289 = 1274656. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l**(-15)*l)\/l*l))\/l)**(-2\/111)\/(l**15)**(-9\/2) assuming l is positive.\nAnswer: l**(14933\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 (base 8) in base 11?\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.034\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100100011101110111 - 100?\nAnswer: -10011100100011101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbwfbff. What is prob of picking 1 h and 2 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 14 - 18. Suppose -4*h + 8 + t = 0. Suppose -m - 1 = -h. Solve m = -3*c - 3*x, 5*c - 2*x - 36 = -6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34 and 2467.56?\nAnswer: 2501.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 - 31*g**3 - 2*g**3 + (-2 + 3 + 1)*(g**3 - g + g) + (4*g + 10 - 10)*(-2*g**2 + 0*g**2 - g**2).\nAnswer: -39*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 2*r + 8*r + 8*r**3 - 6*r.\nAnswer: 8*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i + 16*i - 8*i - 5*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/14633835 and 49\/1682050.\nAnswer: 146338350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-423)\/329*17*(-42)\/36)\/((-2)\/4).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 189, 56 = b - 19092*w + 19094*w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3351, 3349, 3347, 3345, 3343?\nAnswer: 3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -686 + 550. Which is bigger: -137 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y - 6. Suppose 220 + 20 = 48*m. Let z(b) = 1. Determine m*z(s) + n(s).\nAnswer: 10*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 20 = 4*j, 5*g - 68 = -2*j. Suppose -g*n + 72 = -0*n. Let d(x) = -x**3 + x**2 - x + 1. Let h be d(1). Solve n = -h*k + 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1 - 539*b**2 - 2*b + 7*b - 5*b to the form m*b**2 + y*b + s and give m.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 2. Let f be t(-2). Let v(x) = x**2 + 3*x - 1. Let n be v(-5). Solve f*u = n - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18892668?\nAnswer: 2, 3, 883, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17704814, 17704815, 17704816, 17704817, 17704818?\n\"Answer: r + 17704813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Let f = b - 7. Let r = 8 + -5. Sort f, 1, r.\nAnswer: f, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 34 + 121 = 0. Let g = -10 - m. What is the smallest common multiple of 16 and -3 + g + -3 + 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*u + 4 - 27, 0 = -r - 4*u + 13. Let d(g) = -2*g - 3. Let p be d(r). Factor 5*v**3 - v**p - v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3, 3\/8, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43.67 in -0.5, -6, -0.6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-72))\/((-179)\/(-1611)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - z + 0*z. Let w(q) be the third derivative of -q**5\/120 + q**3\/2 - 2*q**2. Let f(a) be the first derivative of w(a). Determine t(f(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -121101001 (base 4) in base 13?\nAnswer: -38149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/19840 and 43\/8268.\nAnswer: 41009280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgrg when four letters picked without replacement from gaxgrag?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5294 and -5.\nAnswer: 2.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 16*o - 2. Let j be g(-2). Let t(x) = x**3 + 34*x**2 - 4*x + 24. Is t(j) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + -2 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1132846 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/3 - 1232*b**4\/3 + 1234*b**3\/3 = 0. What is b?\nAnswer: -617, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555637054 to the nearest integer?\nAnswer: 23572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Is 20\/11 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 - -0.05?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*y = -32, 4*g - 5 = -5*y + 25. What is the second derivative of -24*q**2 - 26*q**2 - 28*q**2 + g*q**2 + 43*q wrt q?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 861*j**2 - 878*j**2 + 3*j**3 + 1784*j**2 - j**3 to the form q + l*j + m*j**2 + g*j**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1271860.8 times 4\nAnswer: -5087443.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/(2 + (-370)\/200)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-24) + 345594\/(-99). Let c = j - -3489. Let s = 30799\/3216 - -7\/1072. Find the common denominator of s and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*(-9)\/(-63)*-5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 11 - 6 + 19. Let z(q) = 2*q - 3. Let r(f) = 6*p(f) + 4*z(f). Let u(l) = -20*l. Give r(u(s)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598830622 is divided by 216.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/((sqrt(196) - ((sqrt(196) + sqrt(196) + sqrt(196)*-1 + sqrt(196) - sqrt(196)) + sqrt(196) + sqrt(196) + sqrt(196) - sqrt(196))) + sqrt(4)).\nAnswer: -sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1777.7676 plus -0.04605?\nAnswer: -1777.81365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 23 - (-2 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000080887 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from lllxfllllvlvfxflxl?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 364.68 * -16.\nAnswer: -5834.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*s + 4*w + 8, w - 8 = -3*s. Let o = 1.6 - -25.9. Let k = o - 27. What is the closest to 2\/5 in k, s, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from auaaiubaac.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 8) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3715 + 3.6285. Sort -7, -13, m in decreasing order.\nAnswer: m, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -426.7 - -426.70006206. What is o rounded to six dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-8))\/((-5)\/(-20)). What is the units digit of ((-3)\/(-1) + -2)*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8436243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3. Let i be 0 - -3 - ((-3)\/(-3) - 2). Suppose -3*n - i*z = n - 16, 20 = 5*z. Let g(u) = 1 - 16*u + u**2 + 16*u + n*u**2. What is 3*g(m) + h(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*w = -9, -5*f - 27 = 394*w - 398*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072695 less than -99.236?\nAnswer: -99.163305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 93 - 231 = -2*b, 0 = 2*b + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 8*w**2 + 7*w + 43. Let k be a(-8). Let n(p) = p**2 + 11. Is n(k) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(363) + -5 - (sqrt(363) + (-1 + sqrt(363)*-2 - sqrt(363))))**2 + -3 + -3)*5.\nAnswer: -990*sqrt(3) + 16360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/9)\/((f*f**(-2\/15)\/f)\/f))\/((f\/f**(-2\/23))\/f*f*f*f*f\/(f*f**(-2\/29))) assuming f is positive.\nAnswer: f**(-64043\/30015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 = 445*z - 490*z, -4*g = 4*z - 112 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(108) - (sqrt(108) - (sqrt(108) + sqrt(108) + -1)))*5)*-3)**2 + (-1*sqrt(54)\/sqrt(3))\/(-2*(sqrt(6)*-3 + sqrt(6) + sqrt(6) - sqrt(6))).\nAnswer: -43201*sqrt(3)\/4 + 98100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325.8964 meters in micrometers?\nAnswer: 325896400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - 1b?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7808 - 7808.0000003637. Round s to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.903531 millennia in years?\nAnswer: 3903.531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l + 40. Let p = 0.24 + 0.26. Which is the fourth biggest value? (a) l (b) p (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 20. Let b be m(17). Let y be 0*(-3 + 0)\/b. Solve 0 = -c + 3 - y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b**3 + 5*b**2 + 4. Suppose -3*k - 54 - 111 = -3*v, 2 = -k. Suppose -6*o + 17 - v = 0. Let g(h) = -10*h**3 + 6*h**2 + 5. Calculate o*i(c) + 5*g(c).\nAnswer: 4*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + x + 1. Let n(o) = -9*o**2 + o + 4. Let t(w) = 6*f(w) - n(w). Suppose 8*i - 3*i = 200. What is the remainder when i is divided by t(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.031 - -0.099. Let v = 0.1386 - s. What is v rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 39 = 21. Suppose 7*s - 3*s = -x. Let q be (-2 + -2)\/(170\/5). Put 0.3, s, q in ascending order.\nAnswer: s, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2303 - -2578. Calculate the greatest common factor of f and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*r - 6418*f**2 + 3*f + 144256*r with respect to f.\nAnswer: -4*f*r - 12836*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 15*2\/(-48) + 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20e7 (base 16) to base 13.\nAnswer: -3aac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 303*g**3 - g**2. Let k(d) = -607*d**3 + d**2. Calculate 7*h(j) + 3*k(j).\nAnswer: 300*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + (sqrt(1100) + 1)**2 + 0 - ((sqrt(275)*-1)\/sqrt(5) + sqrt(55))\/sqrt(5).\nAnswer: 30*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000009267894 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 11 = l, 4*x = 83*l - 85*l + 28. Let b(w) = -w**2 - 7*w. Let r be b(-7). Let o = r - 0. Solve -4*h + o*h = l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (7\/(21\/(-14130)))\/(9 + 464\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from qrjjtjxjtjtjjttxjr?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 at least as big as 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + g**2 - g - 1. Let d be l(0). Let h be (-2)\/12*5342\/(-5). Let k = -178 + h. Which is greater: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 78. Let k(h) = -5*h - 11. Let u be k(-5). Suppose 27 = -b + u. Sort d, b, 1, 5.\nAnswer: b, d, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1800 by -4.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:48 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1854866051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-19)\/(-6))\/(482\/1446))\/((-1)\/(-6))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c - 3. Solve -2*h = -c*h - v + 6, 0 = -4*h - 3*v + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29)\/(29\/2)*(-1)\/(-1). Let q = 7 + -5. What is the nearest to g in q, -5, 5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j - 33*j + 13*j**2 + j**3 - 3*j**2.\nAnswer: j**3 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12045.\nAnswer: 3, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41056766 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 4*l + 5. Let b be c(0). Put 2, -4, 3, b in descending order.\nAnswer: b, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 83052.\nAnswer: 581364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1100 and 103\/400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 6. What is the remainder when 67 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2*m**2 + 1. Let f(s) be the first derivative of 2*s**3\/3 + 4. Calculate f(c(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 56 - 6*k - 2*k. Let s be i(6). Suppose 0 = s*l - 4*l - 10. Let y(h) = 3*h**2 + 7. Let w(r) = 2*r**2 + 6. Give l*w(g) + 4*y(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.4, -7, 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -538*h**5 + h**2 + 1837*h + 7*h**3 - 82*h + 437*h wrt h?\nAnswer: -32280*h**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 4564?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21904 and 5216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 10*s - 20. Let n be v(-6). Suppose 6*b - f + 51 = 9*b, 3*f - 63 = -n*b. Suppose -t = -15 - 14. What is the remainder when t is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3826043, 7652086, 11478129, 15304172, 19130215?\nAnswer: 22956258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1318292, 1318555, 1318992, 1319603?\n\"Answer: 87*q**2 + 2*q + 1318203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - 92. Let i = -152 - o. Is i bigger than -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301320034 + -2?\nAnswer: -301320041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0. Let h be ((-3)\/(-6))\/(6 - 7). What is the second smallest value in h, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11245*s - 138. List the prime factors of v(1).\nAnswer: 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**2 - 15 + 15 - 5*h**2 + 0*h**2 + 0*h**2 + (-3*h + 3*h + 6*h)*(h + 0*h - 3*h) - 2*h + 2*h + 2*h**2.\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 20*j**2 - 37*j + 20. Let p be m(18). Suppose 2*q + 14 = p*n, -q - 4*n - 4 + 22 = 0. Sort -13, q, 1.\nAnswer: -13, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-126582.\nAnswer: -1265.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (18 + (11 - (5 + 11)) + -8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -2*b**3\/3 + 5*b**2 - 8*b + 34. Give z(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -266602 or -267698?\nAnswer: -266602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000 - 101?\nAnswer: -10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l*l**(3\/5))*l))\/(l**5\/l))\/((l*(l\/((l*l\/(l\/(l\/l**5*l))*l)\/l))\/l)\/(((l**(-4\/7)\/l)\/l*l)\/l)) assuming l is positive.\nAnswer: l**(-279\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1414 - -1727. What is the remainder when q is divided by 152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4 and 11\/952.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-427)\/61*(-2)\/(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107183773 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7812 and 9?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 4238459.\nAnswer: 4\/4238459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10*5\/(-7). Let x be 0 + (-2)\/4*2. Let w(r) = 4*r**3 - r**2 - 2*r - 1. Let z be w(x). Which is the nearest to d? (a) 0.3 (b) -3\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6037*s - 4144 = 6159*s + 2*v, 3*s + 110 = 4*v for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/21 (b) 2033 (c) -4 (d) 12 (e) -2\/11 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 2. Let k be (1\/2)\/(2\/(-8)). What is p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 6 (c) -2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1654\/2913 - -96\/971. Let r be (-2)\/(-8)*(-8)\/(-6). Find l such that -o*l**2 - l**3 + r*l**5 + 0 + 0*l + 0*l**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, -1, -4 in decreasing order.\nAnswer: 255, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**(-5\/3)\/m*m)\/m*m))**(-12\/11) assuming m is positive.\nAnswer: m**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 1\/4 (c) -2\/9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 1, k: 3, p: 5, j: 4, w: 1}. What is prob of sequence kg?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60505 - -104970. What is the ten thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.43 - -0.43. Which is the nearest to l? (a) 1\/10 (b) -2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**12)\/k**(2\/5)*(k\/(k\/(k**(10\/9)\/k)))\/k**8 assuming k is positive.\nAnswer: k**(212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 16*c**2 + 72*c - 210. Let r be f(3). Solve -158*w = -r*w - 48 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1753 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 169.2 times -2.8\nAnswer: -473.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 3677*z**2\/2 - 76199*z + 74360.\nAnswer: (z - 40)*(z - 1)*(z + 3718)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 111*o = -51*o + 3683680. Round o to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121773472 - 0.4.\nAnswer: -121773472.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6662 - -6754. Calculate the greatest common factor of 188 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -31.05. Let f = 14 + -14.2. What is the closest to c in 3, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13 = -3*w, 0 = -2*u - 2*w + 220 - 210. Factor 0*a**u + 7\/3*a**4 + 2\/3*a**3 + 0 + 5\/3*a**5 + 0*a.\nAnswer: a**3*(a + 1)*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*k - 3*r + 11, 2*k + 18 = -4*r. Let l be k - 7*(-3)\/15. Sort l, 1\/9, 0.2 in increasing order.\nAnswer: 1\/9, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -267?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -60*k + 0*k**2 - 1\/6*k**3 + 0. Let u(o) = 8*o**2. Give u(c(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4806, -9539, -14280, -19029, -23786?\n\"Answer: -4*a**2 - 4721*a - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + (119 - (-8 + (18 - 18) + 18)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-44) - 759\/(-12). Calculate the highest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - x**2 - 5*x + 2*x - 16 + 16 + 5*x**2 + (-x - 7*x + 2*x)*(2*x - 4 + 4) - 4*x**2 + 0*x**2 + 2*x**2.\nAnswer: -10*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57883*c**3 - 40*c**2 - 106624060*c.\nAnswer: -347298*c - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6021.06 - -6021. Which is the second smallest value? (a) -3 (b) -5.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 14 = 3*t - 25, -10 = -2*p - 3*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**2 + 5890*d = 0.\nAnswer: 0, 1178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.9 - -0.7. Let j = 18.2 + c. Is -1\/4 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*j + 7, -2*j + 3 - 19 = 3*z. Let r be ((-12)\/z)\/((-1)\/(-6)). Suppose -3*d - d - u = -15, -u = -5*d + r. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 16, e: 4}. What is prob of sequence mem?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 5*r + 10. Let b be u(6). Let m(n) = 6*n + 26. Let p(h) = -h - 5. Determine b*p(w) + 3*m(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 12\/(2 - 5). Let t = -0.07 - -5.07. Which is the biggest value? (a) t (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-9)\/12). Let c(z) = -144*z + 4. Let w(i) = -48*i + 1. Let t(s) = 2*c(s) - 7*w(s). Is t(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(135\/6))\/(1\/(13\/(-212 - -4)))\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*i + 22*i - 37*i - 924 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3263792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 u, and 1 b when three letters picked without replacement from obbotototukbboo.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = 2. Let a = 41\/4 + -373\/36. Do a and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a. Let n(p) = 2*p**2 - 6*p**3 - 2 + 6*p**3 + 4*p**3 - 5*p**2 + p**4 - 2*p. Let o(h) = 5*n(h) - 15*t(h). Factor o(z).\nAnswer: 5*(z - 2)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2219275 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1887.7 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -41. Let q be 96\/44 + 4\/u. Let b(f) = f - 2. Let r(v) = -4*v + 11. Determine q*r(s) + 11*b(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -6*o**2\/13 - 184*o\/13 - 290\/13 = 0?\nAnswer: -29, -5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/72 + 325\/(-390) + (-30)\/80.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-3) + -2)\/(2196\/(-732)). Solve h = -3*d + 6*v + 21, -3*d + 29*v + 5 = 27*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 3, g: 2, u: 13}. Give prob of sequence dd.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 8*p + 9. Let n be j(-7). What is the second derivative of -7*q**5 - 209*q + 3*q**2 - 3*q**n + 200*q wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-196)\/14)\/28)\/(2\/10).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 138337, 2\/131?\nAnswer: 138337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.112 - 35.112. Which is the third biggest value? (a) w (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94439, 94441, 94443?\nAnswer: 94445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Let d be -3 + (-69)\/(-9) + 2*-1. Which is smaller: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -g - 3*t, 3*g - 3*t = -0*g - 3. What is the second derivative of 0*u - g*u**5 + 2*u - 6*u + 7*u**5 wrt u?\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*m - 113 + 918, 5*m = -2*p + 1969. Let s = -164 + m. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.5, -176, -72\/11, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -63?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21\/(-12))\/((-2)\/(-8)). Let f = 20 + 10. Suppose f = -18*n + 13*n. Is z less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 3, 0, 42 in descending order.\nAnswer: 42, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6471260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/362526 and -169\/110334?\nAnswer: 2537682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -164.923 + 165. Let g = -0.07 + y. Round g to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2723.\nAnswer: -5\/2723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - s - 70 - 4*s + 3*s + 3*s.\nAnswer: s - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/(-4) + 3\/(-12)*2. Let w be (-2)\/(-10) + (-132)\/(-15). Let j = z - w. What is the remainder when 12 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3*3 + 30. Suppose -60 = -0*i + 4*i. Let y = l + i. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - q = -40. Does 13 divide (5 - 1\/1)*73\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1742, 1740, 1736, 1730, 1722?\nAnswer: 1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {y: 11, f: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2559616?\nAnswer: 2, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-510*t - 67*t - 11*t)*(2*t - 3*t - 6*t) to p*t**2 + m + i*t and give p.\nAnswer: 4116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02785659209 rounded to 5 decimal places?\nAnswer: 0.02786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 20394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miiammimlaln. Give prob of picking 1 m and 1 l.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*n - 4, -2 = n - w + 5*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1433 - 1484. Which is the nearest to -0.5? (a) 2\/11 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 21 - 27 + 20 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1047*g**5 - 4*g**2 - 24.\nAnswer: 62820*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -264. What is c in -49*c - 145*c - 11 - 46*c - v + 5*c**2 + 0*c**2 = 0?\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 326 = -v, -5*v = -0*v + 20. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1429774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d6 - -3?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.65634 - 0.687. Round m to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -0.0044?\nAnswer: -0.3956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6)*-2 + -1. Which is the nearest to f? (a) -0.3 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 343.\nAnswer: 343.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8 - ((27 - 41) + 36)) + -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 3*f**2 + 3*f + 6*f + 9. Let n(z) = -z**3 - 17*z**2 - 19*z + 216. Calculate the remainder when n(-15) is divided by k(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12857782 to the nearest integer?\nAnswer: 3586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/7 + (-6)\/(-21). Let m be ((-46)\/(-92))\/(2\/(-4)). Sort -6, 4, v, m.\nAnswer: -6, m, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40481 - 415.85.\nAnswer: -40896.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -23?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 3589*q**5\/5 - 752*q**3 - 35. What is the third derivative of v(t) wrt t?\nAnswer: 86136*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132) + sqrt(132)*-2 + sqrt(132) - sqrt(33))\/sqrt(3) + sqrt(275)*1*-2.\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)\/d)**(1\/12)\/(d**(1\/2))**(1\/3))**(-28\/9) assuming d is positive.\nAnswer: d**(49\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*q + 258*q - 656*q**3 + 760*q**3.\nAnswer: 104*q**3 + 44*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*t - 16, 0*g + g + 4*t - 10 = 0. What is the second derivative of 5*z - 4*z - 2*z**g + z wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1337 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**5\/80 - z**4\/24 - z**3\/24 + 3*z + 1. Let v(d) be the first derivative of p(d). Solve v(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/7 - 99\/56. Find the common denominator of p and (-23)\/10*750\/100.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/102 + -4043*108\/(-7956)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 - 2*n**4 - 3*n**4)*(3 + 3 - 8)*(3 - 1 + 1)*(n - 2*n + 5*n).\nAnswer: 48*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -13. Let u = -39 - -35. Let n(y) = -y**2 - 14. Let r(q) = u*m(q) + 3*n(q). What is the first derivative of r(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107 + -106 - (7\/1 + -7))\/((-1)\/21).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -526 + -7130?\nAnswer: -7656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24061 - -41b?\nAnswer: -23943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, f: 5, l: 3, k: 2, e: 1}. What is prob of picking 1 f, 2 n, and 1 l?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1331 divided by 197.\nAnswer: 1331\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 - -8 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**3 - 15*y**4 + 2 + 12*y**4 + 8*y**3 + 4*y**4 + 2*y**2 as w*y**4 + r*y + i*y**3 + b + j*y**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 99 = 27. Let r(l) = -8*l - y + 21 - 6*l. Does 17 divide r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/7)\/(w**(-11)\/w*w))**15 assuming w is positive.\nAnswer: w**(1200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28991 - -19780. Let c = z - -9225.0002. Let r = 14 - c. Round r to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 537 + -287. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 23*m + 4 to w*m + u and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Solve 5*g - 3*g = -i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**2*z**5 + 8759*n**2 + 8370*n*z**5 - 24*n*z wrt z.\nAnswer: -80*n**2*z**3 + 167400*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4da - -8?\nAnswer: -4d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 38 (c) 31 (d) -23 (e) -2\/3 (f) -0.5 (g) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*c + 121*c - 335*c + 113*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11114.49 millilitres?\nAnswer: 11.11449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 4*l**2 + 2*l + 19. Let r be u(5). Suppose 11 = 3*w - r. Solve -3*y + w*t = 10 + 3, 4 = 2*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**6 + 7*k**3 + 228*k**2.\nAnswer: 240*k**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 38*v**2 + 1014*v - 52. Calculate p(-26).\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (310\/15)\/(4*2\/12). Solve -3*h + 24 = h - 2*g, -5*h = -3*g - n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, -737, 1 in ascending order.\nAnswer: -737, -5, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 + 3 + 3 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, c: 1, b: 1, q: 5, u: 10}. Give prob of picking 1 b and 1 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*(-16)\/28\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 7\/((-7)\/(-2)). Solve -3 = -o*b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -66, -28, 10?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 84\/105*(-75)\/990\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1120202103 (base 4) to base 15\nAnswer: 726b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 1. Let k be o(-2). What is the remainder when 52 is divided by (-6)\/(-9) - 52\/k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = 0. Suppose -5*z = -o - 52, -z + o - 2*o + 14 = p. What is the lowest common multiple of z and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11626 times 0.01003?\nAnswer: 116.60878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6350334 and 0.065.\nAnswer: -412771.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (8 - (10 + -14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 13*t - 12. Let r be o(-12). Calculate the remainder when 67 is divided by (-3185)\/(-175) + (r - 2\/10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/10)*s*s**(1\/5))\/((((s\/s**(1\/3))\/s)\/s)\/(s\/((s\/(s**(13\/5)*s))\/s))) assuming s is positive.\nAnswer: s**(253\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -39.\nAnswer: -39, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*(-61)\/((-5612)\/(-621))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3301*h - 3361*h - 2 + 15817*h - 4240*h)*(-4*h**3 + 4*h**3 + h**3) in the form m*h + a*h**3 + w*h**4 + g*h**2 + y and give w.\nAnswer: 4915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57174 divided by 6.\nAnswer: 9529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 1. Let c(s) = 2*s. Give 3*c(z) - 2*t(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 86043 = 7*c. Let p = 1819 + c. Suppose -t - p = -6*t. Round t to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(-1*sqrt(448) + 5 + 0)*-2*6 + 4)**2.\nAnswer: -2961408*sqrt(7) + 17444368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-219)\/((5 - 40986\/8196)*6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58 and 199581?\nAnswer: 199523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 2, a: 2, l: 1, p: 4, c: 1}. What is prob of sequence aap?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 8:19 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 9*g + 3. Determine a(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -35*q**2 - 7419*q + 216. Let b be y(-212). Let m be ((-1)\/3*0)\/2. Factor 2\/7*a**2 + 0*a + 2\/7*a**b + 4\/7*a**3 + m.\nAnswer: 2*a**2*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -510, -4, 0, 5.\nAnswer: -510, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3397 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: How many minutes are there between 3:59 PM and 3:38 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*g = -3*l - 8, 3*l - 64 = -g. What is the common denominator of ((-14)\/(-6))\/((-2)\/l) and -40\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111020000 (base 3) to base 13\nAnswer: -4506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1652, -6564, -14728, -26144, -40812, -58732?\nAnswer: -79904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/21*0\/(-2). Let j be (3\/(-3))\/(a - -1). Let w(v) be the second derivative of -3*v**5\/20 - v**4\/12 - v**3\/6 + v. Determine w(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 5 + 33*g - 2*g.\nAnswer: 35*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5*(3335\/58 + -35)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((264\/(-16))\/33)\/((5 + -1)\/72)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 20 = 12. Sort -3, x, 2 in decreasing order.\nAnswer: 2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -989.1214 + 0.1214. Is 2 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1934 + -927. Is 76 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.063068354 - -5.215338954. Let w = m + 38.8477154. Let o = w + -44. Round o to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 245*z - 10*z**2 - 11*z**2 + 249*z.\nAnswer: -21*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/126*(-189)\/(-42)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 2. Let c = 8 + -3. Suppose -6 = -c*z + 4. Let q be s(z). Solve -y + 2*k = 4*y + 7, -4*y - 5*k + 1 = q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:39 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171 and 7877055.\nAnswer: 448992135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15))\/((-10)\/20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19366 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4*d - 175523*a**3*d + 1933*a**2*d + 99*a**2 + 2*d wrt a?\nAnswer: -24*a*d - 1053138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 171*n**2 - 186*n**2 + 15*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -179608180*z**3 - 262701999?\nAnswer: -538824540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 855 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.561 - 47.961. Let w = -47.400586 - m. What is w rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8744 - -10910. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 + 15*g**2\/2 - 3*g - 7. Let i be q(11). Let s = i - 11. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 42425?\nAnswer: -42432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 230 + -287980?\nAnswer: -287750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*v + 2*u + 5 = 774*v, -30 = 6*v + 3*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.06, -0.4, -2 in decreasing order.\nAnswer: 0, -0.06, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q - 111. Let h be u(-29). Factor -1 + 135*g - 94 - 45*g + h*g**2.\nAnswer: 5*(g - 1)*(g + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3047 divided by -1.\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 443, 5 in descending order.\nAnswer: 443, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubiu when four letters picked without replacement from {u: 4, i: 4, d: 1, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/20 and 32\/19?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.6514 + 0.0514. Let u = -8.6 - h. Which is greater: -0.6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -770536 or -1?\nAnswer: -770536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(2*o - 32 + 64 - 29).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 27, 36, 43, 48, 51?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -351*429061\nAnswer: -150600411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30*(-64)\/(-240) - (-21594 - 2).\nAnswer: 2, 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:12 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212773817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*w - q - 9, 2*w - 3*q = 5. Let j be ((-3)\/w)\/(24\/64). Solve -11 = 5*t + v, t + j*v - 25 = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2 + 965170308*a - 77629476953734572 = 0.\nAnswer: 160861718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11351 - -11358. Let t(v) = 2*v**2 - 13*v + 5. Calculate t(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1. Let z(y) = -3*y + 6. Let v(s) = s + 7. Let l be v(-6). Let k be (-3)\/((-3)\/2) - -3. Suppose -k*p = 20 + 10. What is l*z(a) + p*h(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7937954.\nAnswer: 2, 83, 47819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 23*u**2 - 13*u + 32. Let d be y(5). List the prime factors of (-6)\/36*0 + d.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/345 and 32\/3.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 702 and 540?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 335\/3 + -110. Suppose -2*m = -3*u + 92, u - 3*m - 32 = -2*m. Let n = 28 - u. Put 2, d, n in ascending order.\nAnswer: n, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2826 + 7092. List the prime factors of z.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2)*r)**(3\/2)\/((r*r**2\/r*r*r)\/r**5))**(1\/56) assuming r is positive.\nAnswer: r**(13\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -577 + 620. What is the highest common factor of j and 946?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67356, 67036, 66716, 66396, 66076?\n\"Answer: -320*i + 67676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2567567, -2567584, -2567599, -2567612, -2567623?\nAnswer: -2567632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5845 - 0.0845. Which is the third smallest value? (a) -17 (b) 0 (c) -5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 1056*i + 50020.\nAnswer: -4*(i - 41)*(i + 305)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*1*(sqrt(102) + -2*sqrt(102))*-4)\/(sqrt(150)*-2*2 - sqrt(150) - 3*(sqrt(150) + sqrt(150)*-2)).\nAnswer: 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153 - -167. What is the remainder when 36 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 321.02 - 321. Which is the closest to -2\/19? (a) v (b) -1\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*o - 74*o - 4 = 0. Let n(c) = -o - 16*c + 8*c + 0*c + 9*c. Let a(m) = 3*m. Let j be a(2). Let r(v) = -2*v + 3. Determine j*n(k) + 4*r(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*j = 0, -4*t = 144*j - 140*j. Let m = -6 + 10. Put -3, -2, t, m in descending order.\nAnswer: m, t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 42. Suppose m*x = -10, 3*x + 2*x + 82 = -2*j. Is j at most as big as -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.6 - 12. Let i(m) = 14*m + 14. Let h be i(-4). Put u, h, -1\/2 in ascending order.\nAnswer: h, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214034.01 months to millennia.\nAnswer: 17.8361675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**6\/3 + 5*s**4\/12 - 25*s + 4. Let u(r) be the first derivative of a(r). Find the third derivative of u(n) wrt n.\nAnswer: 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/384 and -121\/48.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 12. Let d = -14 + g. Is -2 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebbeeebbbeeeebbbbeee. What is prob of sequence be?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-22))\/((-579)\/12738)*(-3)\/36*62?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.5 + -13.50116. Round o to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -514485 - -514471.00155. Let f = 14 + g. Round f to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 163, 80, 7, -50, -85, -92, -65, 2?\n\"Answer: q**3 - q**2 - 87*q + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5361 + 5359. Suppose x - 6*x + 2*m + 13 = 0, 5*x + 4*m - 19 = 0. Sort -1, x, i in decreasing order.\nAnswer: x, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*t = t - 64, 5*t - 64 = -4*q. Suppose 2*j - 2*p = 48, -5*p = 3*j - 0*p - 72. Let k = 41 - j. Is k > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8638900 times -0.2?\nAnswer: -1727780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*b - 44 = 0, -i - 4*i = -5*b - 60. Suppose 0 = i*a - 323 - 557. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 10 + 40*n + 29*n**2 + 39*n - 52*n. Let b be c(-28). Let h be b\/9 + (-4)\/18 + -1. Solve 16 = -h*x - 0*x - 4*t, 16 = -4*x - 4*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 2, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 23*n = 161. Calculate the least common multiple of 7 and n.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018942 to 7 dps.\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12703939 is divided by 566?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2880790.\nAnswer: 2, 5, 11, 26189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27176763 (base 8) to base 2.\nAnswer: -10111001111110111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 916747546 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650893?\nAnswer: 53, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2906 is divided by 97.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 >= -6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 269 = 1409. Let g = -120 + t. Suppose 0 = 5*h + 4*j - g, -3*j = 5*h + 79 - 244. Calculate the remainder when h is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 788 + -724.2. Let q = u + -64. Let i = 0 - 4. Which is the second biggest value? (a) q (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877188?\nAnswer: 2, 89, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -680 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g - 1. Let t(n) = 7*n - 2. Let v(k) = -k**3 + 28*k**2 - 29*k + 59. Let p be v(27). Let l = 39 + -37. Suppose w = -l - 2. Give p*y(s) + w*t(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.96 - -5. Let z = x + 0.46. Let d = 0.3 + 0.7. Which is the biggest value? (a) z (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 11:43 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 7891\/14, 3\/5?\nAnswer: 7891\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28096 and 3976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 26, -2, 5718 in increasing order.\nAnswer: -2, -1, 26, 5718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.214954152 to 3 dps.\nAnswer: -0.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.7 - -9.70000051. Round t to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 31*n - 4 = 0. Suppose 4*m - 1 = -k, k - n*m = m - 8. Let s be (20\/8)\/(k\/(-6)). Put 7, -1, 0.3, s in ascending order.\nAnswer: -1, 0.3, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -277 - -404. Let n = a - 887\/7. Factor -n*z**2 + 2\/7 + 0*z.\nAnswer: -2*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*k**6 - 1542*k**4 + 10198*k**2 + 51?\nAnswer: 1800*k**3 - 37008*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.14, 1, 35, -3, -2\/15?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77 times -0.0082779?\nAnswer: -0.006373983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -6448*w**4 - 48996*w**3 - 92028*w**2 - 42296*w - 5280 = 0.\nAnswer: -5, -2, -12\/31, -11\/52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10542771 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, 811, 1272, 1733, 2194, 2655?\nAnswer: 3116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34496)\/66)\/32*(-5)\/((-105)\/(-6))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327967801 divided by -6?\nAnswer: -327967801\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*l + 17, -4*l + 247 - 216 = 3*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7 + 2*r + 0 - 10 - 3*r. Let m be v(-8). Find the second derivative of 3*s - m*s**3 + 10 + 3*s - 10 wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1660610, -1660612, -1660622, -1660640, -1660666, -1660700, -1660742?\n\"Answer: -4*f**2 + 10*f - 1660616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 + 26*c - 408\/5.\nAnswer: 2*(c - 3)*(c + 68)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7604048 + 0.3.\nAnswer: -7604047.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -11 (c) -4\/3 (d) -1\/11 (e) 21 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 70*u**3 - u**2 + 3*u - 8. Let x(w) = 138*w**3 - 2*w**2 + 7*w - 19. What is 3*x(i) - 7*y(i)?\nAnswer: -76*i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -393 + 399. Find the common denominator of s\/(-10) + 1\/4 and -29\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**25))\/(j\/(j\/(j*j*j**(-6)*j))))**18 assuming j is positive.\nAnswer: j**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.05973, -0.05 in ascending order.\nAnswer: -0.05, 0.05973, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -205.1 and -1.\nAnswer: 205.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:16 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-50) + 19\/(-35) + 22\/77. Determine g so that -2\/7*g**3 - k*g**2 + 1\/7*g**4 + 2\/7*g + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/7, 7\/235, -1?\nAnswer: 7\/235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -227*i**3 - 1138*i**2 - 137*i - 606. Calculate z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:54 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -59. Suppose 4*x - 145 = 3*x - n, v*n = -4*x + 574. What are the prime factors of x?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - 3.3. Let b = u - -4.78. Let h = 0.3656 - b. What is h rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v - 6. Suppose o - v*p = 11, -5*p - 13 + 6 = 4*o. Factor 2*f**3 + 1 + f - 3*f**3 - 3*f**2 + 2*f**o + 0*f**2.\nAnswer: -(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/c**(-3\/10))\/c))\/(c*c**(-15))*(c**(2\/3))**(6\/17) assuming c is positive.\nAnswer: c**(2539\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -69*12\/(-36)*(-1 + 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -54*m + 18. Let x(r) = -67*r + 18. Calculate 4*x(f) - 5*y(f).\nAnswer: 2*f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 48*y**2 - 65*y - 138. Let c be h(-2). What is the highest common factor of c and 3496?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*(-6)\/9. Let t(h) = 3*h - 6*h + h**2 + 2*h + q. Calculate t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r - 80 = 5*r - 496 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 5*a. Let s be 3\/(-2)*2\/a. What is the units digit of ((-6)\/(-24))\/(s\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.1 + 19. Let v = 0.8 + k. Let o = v - -0.271. What is o rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -25*q. Let o(i) = i**2 - 3. Calculate o(t(w)).\nAnswer: 625*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 13. Let q be a(-5). List the prime factors of (-1)\/q*-98*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7144000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -4)\/((-1)\/(-2)). Let d = 2 + h. Solve 4*s = -d + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8216?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -45. Suppose -3*v + y = -q + 4*q, 2*v - q = 24. What is the tens digit of (v\/(-3))\/(8\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26716947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 314427 to the power of 1\/2, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 11:47 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 2. Calculate w(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1241 (base 8) to base 10.\nAnswer: -673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -531, -2\/15, 5\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 3*o**2 - 5*o - 3. Let y be x(4). Let a = -24 + 35. Let j = y + a. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 + -106. Let g be (-24)\/(-15) + (-2)\/p. Suppose -6 = 17*k - 20*k. Sort 0, g, k, 0.3 in decreasing order.\nAnswer: k, g, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y - 121. Let t(f) = 26*f + 362. Give 8*p(d) + 3*t(d).\nAnswer: 6*d + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1467, 2944, 4421?\nAnswer: 5898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 477 - 1433\/3. Let v = -2165\/146 + 24\/73. Calculate the common denominator of n and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.276 + -0.446. Let v = -4.83 + g. Which is the third smallest value? (a) 2\/9 (b) -0.7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(20\/7)\/(((m**(-5\/6)\/m)\/m)\/m))\/(m**(-3)*m*m**(3\/13)*m) assuming m is positive.\nAnswer: m**(4073\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 1, d: 2, r: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d = -12*d - 360. Is -79\/8 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-10) - (-9 + 6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, -11\/5, -0.5, 198\/5?\nAnswer: 198\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6005 is divided by 2824.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/2, -64588, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 1. Let h = -1507.5 + 1507. What is the nearest to m in -1\/9, -0.3, h?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, h: 13}. What is prob of picking 4 h?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, -3770, -4 in ascending order.\nAnswer: -3770, -190, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n**3 + 5*n**3 + 0*n**3)*(5 - 19 - 5 + (-1 + 3 - 3)*(2 - 1 + 0) - 1 + 4 - 2) to t*n**2 + x*n + f + k*n**3 and give k.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 648*k**2 - 4188*k - 2441. Give x(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 138*r**2 + 138*r**2 + 7*r**3 - 10*r**4 + 2 as o*r**3 + k*r + g*r**4 + j + y*r**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 5, a: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 - 43464*j**4 - 130410*j**3 - 130416*j**2 - 43473*j.\nAnswer: 3*j*(j - 14491)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83 or -748\/9?\nAnswer: -748\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8057 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: Which is the fourth smallest value? (a) -3 (b) -2\/7 (c) 5 (d) -39 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.01 (b) 0.1 (c) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*c**2 + 4 + 12*c - 13*c**2 - 1 - 13*c - c**3 + 8*c**4 to the form n*c**3 + x*c**4 + i*c**2 + v + z*c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48380 rounded to the nearest one hundred?\nAnswer: 48400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {b: 1, p: 2, r: 1, c: 1, e: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 3 + 9 + 4*d - 4.\nAnswer: 4*d + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1.8562\nAnswer: -0.74248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 8*s - 604. Let m(v) = -3*v + 6. Let o be m(-5). Calculate the highest common factor of s and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 9265.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 53. What is z(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.763 to two decimal places.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u + 5*u - 17*u - 3)*(-7*u + 7*u - 14*u) to the form h + y*u + t*u**2 and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24*4\/(-6)*-2. Let n be 24\/f + (-6)\/8. Solve -5*t + 8*t - 12 = n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*p - 16 = 0, p + 106 = 1820*s - 1710*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 13*b**2 - 13*b + 30. Let w be i(-14). Suppose 0 = -2*n + 2*t + w, 3*n - 22 = -2*n - 4*t. Is n less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 14*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -10. Let n = -10 - -6. Calculate the remainder when (-789)\/(-27) - n\/(-18) is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 148, 222, 296, 370, 444?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**3 - 19*c**2 - 16*c - 6. Does 24 divide j(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 75863 = -6360569. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*g + 7. Let v = 1 + -1. Let t be ((-4)\/2)\/((-116)\/290). Sort t, v, g in ascending order.\nAnswer: g, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2 - 12227882*c - 37380274551481 = 0.\nAnswer: -6113941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 5*p - 25, -p = -4*a + 3*p + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2683.733 + 2680. Let y = v + 0.733. What is the nearest to -4\/7 in -0.02, y, 2\/3, 3\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 179075 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3459004 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 268 - 21. Suppose 3*k = -5*m + s, 0 = -5*k - 3*m + 330 + 103. What are the prime factors of k?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -11*w. Are w and -2\/103 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 3*p**2 - 2*p - 3. Let n(z) = -z**3 - 1. Let t(r) = f(r) + 2*n(r). List the prime factors of t(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 1:40 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1. Let u(f) = f + 3. Let r = 13 - 7. Calculate r*b(h) + 2*u(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 19 = -2*s - 2*j, -4*s = 4*j - 60. Sort -5, -4, s.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 338\/55 + -7 + 3. Let j = -28\/11 + v. Which is the nearest to 0.2? (a) j (b) 1\/2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/14 + (-5933)\/(-714) and -37\/41.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 - 316*j**2\/5 + 55584*j\/5 + 2363904\/5 = 0. Calculate j.\nAnswer: -432, -36, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/15*-12*-5. Let y be (-39)\/j - 1\/4. Suppose -4*f - 4*c = -76, 7*f - y*f = -3*c + 75. Calculate the remainder when 52 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) 3 (d) -1 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - p - 4 = 0, 0 = -3*h + 2*h + p - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 464.17 - 462. Let w = 1 - 3. Let b = w + x. What is b rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -782839, 2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3323*c**2 + 60*c - 6652*c**2 + 3332*c**2 - 60*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 - n - 1. Let u(y) = 2*y**3 - 2*y**2 + 4*y + 6. Determine -4*o(s) - u(s).\nAnswer: 2*s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12115\/47 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875237983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 3*t + 3. Let f be (-1260)\/585 + (-4)\/(-26). Let v(p) = 1. Give f*g(s) + 6*v(s).\nAnswer: 2*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2880 and -91\/220?\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 775 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 34*j**2 - 3*j + 46. Let m(l) = 33*l**2 - 4*l + 45. Let x(n) = -3*m(n) + 4*q(n). Differentiate x(w) with respect to w.\nAnswer: 74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -1, 14, 45, 98, 179?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v = 20. Let o be 4\/(v\/(-15)) - 3. What is the first derivative of o - 8*r - 6 - 1 wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:47 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**4 + 27*k**3 + 241*k**2 + 897*k + 1021. Let h(w) = 2*w**4 + w**3 + w**2 + w - 3. Let d(v) = 2*a(v) - 2*h(v). Solve d(l) = 0 for l.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4*d - 2 - 2.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 36bb08?\nAnswer: 36bb13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 2}. Give prob of sequence ku.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/279480 and -107\/1020.\nAnswer: 279480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:04 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*h = -2*h, -25 = -4*j - h. Solve 2*f - 2 = -a, 3*f - 3 + 14 = -j*a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.0679 rounded to 1 decimal place?\nAnswer: 80.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 964199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -15*l**3 - 671*l**2 - 477*l + 371. What is a(-44)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + z + 164 - z + 4*z**2 - 164 in the form n + k*z**2 + c*z and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -42.1. Which is the closest to n? (a) 9 (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77886?\nAnswer: 2, 3, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-422\nAnswer: -126.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 56?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*k**2 + 28*k**2 + 27*k**2 + k**4 - 2*k**3 - 5 + 35*k**2 + 30*k**2 to the form s*k + o*k**4 + z*k**2 + l + x*k**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + -3. Let y = k + 10.2. Which is the nearest to y? (a) 4 (b) 1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 2*i + 3*i)*(-4 - 4 - 2)*(-1 - 2 + 4).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 18. Calculate n(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14052 + -23.89952. Let b = 43.772 + j. Let p = -20 + b. What is p rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**3 + 219*d - 2*d**4 + 12*d**4 - 14*d**4 - 21*d**4 wrt d?\nAnswer: -300*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-12))\/((-2)\/10026). Suppose 9*h = l - 273. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*u - 4024, -11*r + 1006 = u - 9*r. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/30137, -6, -15\/16, 2 in increasing order.\nAnswer: -6, -15\/16, 3\/30137, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 6972 = -325*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Solve j = l + l - 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1913 + -1912. What is the third biggest value in 2\/13, 0, u, -0.1, -0.16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 0 + 0*b - 15\/4*b**5 + 54*b**2 - 315\/2*b**3 + 231\/4*b**4 = 0.\nAnswer: 0, 2\/5, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 4*z - 110. Let l be (-7 - (-132)\/20) + 124\/z. What is the derivative of -10 + l*n**2 - 23*n**2 + 0 wrt n?\nAnswer: -22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251496 - 0.44\nAnswer: 251495.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - -0.3. Let c be (-102)\/(-68)*(-184)\/483. What is the second smallest value in -2\/5, c, t, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:20 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:21 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n - 2. Let y(p) = -p - 1. Let b(t) = f(t) - 6*y(t). Let j(r) = -r**3 + 12*r**2. Let i be j(12). What is b(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5696 + 3283. Suppose -46*x - h = -67071. List the prime factors of x.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 12. Let l be v(8). Suppose l*j + 12*m - 10*m - 26 = 0, j - 3*m - 3 = 0. Solve -3*n + j = -3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 141201257 + 3?\nAnswer: 141201262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.991065mm in kilometers?\nAnswer: 0.000008991065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 818243372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -10.92. Let h = l + 9. Which is the second smallest value? (a) h (b) 1\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -1, 34, 0.4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*f = -639, -5*f - 2 = -3*f. Let i = -636 - m. What is the third smallest value in -1, i, -58, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - u + 2, 0 = -k + u + u - 9. List the prime factors of k + 55 + 0 + -3.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1970 - 754. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 761 and -8.56.\nAnswer: 752.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 4*g**2 + 2*g - 2. Calculate the least common multiple of d(-2) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 39315.04l?\nAnswer: 39315040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/30*3\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 30*v**2. Let l(m) = -10*m**2 + 6*m + 6. Let g be 3 + (2\/(-3))\/((-4)\/18). Let i(k) = -k**2 + k + 1. Let w(s) = g*i(s) - l(s). Give d(w(b)).\nAnswer: 480*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 93024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/315 + 842\/16695. Is g >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 2*z**2 - 5*z\/3 - 4.\nAnswer: -(z - 4)*(z - 3)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -44.4. Which is the smallest value? (a) -19 (b) -0.2 (c) -1\/2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69522 divided by -34761\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88913.\nAnswer: 11, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -0.8, 2, -2\/5, -74.3, -1\/6 in ascending order.\nAnswer: -74.3, -0.8, -2\/5, -1\/6, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - z**3 - 8*z**3 - 3*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*n - 56*n + 555. Suppose h = 3*h - 10. Let i(z) = 2*z**2 + 2*z - 4. Calculate the remainder when i(h) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1998*i - 11991. Let b be g(-6). Sort -771, b, 2 in increasing order.\nAnswer: -771, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 11*o**4\/12 - o**3\/3 + o**2\/2 + 6*o. What are the prime factors of x(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 - 5*c**2 + 6*c - 6. Suppose 0 = -3*j - 4 + 31. Let t(z) = -13*z**3 - 20*z**2 + 25*z - 25. Let v(a) = j*n(a) - 2*t(a). Give v(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p - 2 + 7*p + 0*p + p**2 + 6*p**4 to the form o*p**3 + h*p**2 + d + v*p + k*p**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2 - 27*k - 128. Let c be f(-8). Calculate the greatest common factor of c and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 6. Let z(f) = 2*f - 9. Determine z(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 49*c**3 - 27*c**3 - 4742 + 1444 - 21*c**3 + 3*c**2.\nAnswer: c**3 + 2*c**2 - 3298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4114439 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x\/x**5*x)\/x))**(-2\/21)*x**(-36)\/x**(-1\/48) assuming x is positive.\nAnswer: x**(-12217\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1033, -16, -2, -1, -3, 1, 5 in increasing order.\nAnswer: -1033, -16, -3, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -26*i**3 - 153*i**2 + 2662*i + 15862. Calculate g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/195 + (-584)\/(-120) + -5)\/(6\/(-4)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.007 + -2.377. Let t = w - -2.4. Let f = -2.03 + t. Put f, -0.3, 5 in increasing order.\nAnswer: f, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/10*1\/(-28)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-140))\/((-24145)\/9219*(-4)\/(-10))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1412)\/9 - 6\/(-27). Let o = -154 - p. Find j, given that 8\/3*j**5 - 2*j**3 + 32\/3*j**2 - 22\/3*j**4 + 0 + o*j = 0.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 - 17*v - 106. What is i(12)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10258940 divided by -2051788\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 108 + 132 = 0. Suppose 5*g = -4*l + 11, 5*g + 0*l + 5*l = 10. Find the first derivative of 39*d**3 + 41*d**g + 41 + u*d**2 - 76*d**3 wrt d.\nAnswer: 12*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8417256*y**4 - 1858433?\nAnswer: 33669024*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + sqrt(13) + -1 + sqrt(13) + -1)**2 + (sqrt(39)\/sqrt(3)*-1 - sqrt(13))**2.\nAnswer: -16*sqrt(13) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3.2, 3, -0.3, -4.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4\/5, 18\/7, 0.1 in increasing order.\nAnswer: -4, -4\/5, 0.1, 18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -29bc0?\nAnswer: 29bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:36 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136364.\nAnswer: 2, 73, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 3*u**2 - 11*u - 7. What is the remainder when 386 is divided by z(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32945 = -8937*a + 3101*a + 13743 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 10*l - 8*l = -6079, 0 = i - 2*l + 1211. Is 47 a factor of (-1288953)\/i - (-4)\/(-90)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -46*v - 5. Let t(r) = 2*r + 1. What is 6*t(g) + z(g)?\nAnswer: -34*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26734, 26740, 26758, 26794, 26854, 26944, 27070, 27238?\nAnswer: 27454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-35)\/15 - -2). Let m = 15 - q. What is m rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + -3 + 3 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 8 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:39 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.506724ml in litres?\nAnswer: 0.009506724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2 + 5 - 4 + i - 2*i. Let m be l(-3). Solve m*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**2 + 5*l**2 + 7*l**4 - 6*l**4 + 7*l**4 + l**3 - 1 as v*l**4 + j*l + n*l**3 + u + s*l**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 3 (c) -1 (d) -49189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286956.\nAnswer: 2, 3, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 11*l**2 - 10*l + 6. Let w be 0 + (2 + -8 - 6). Calculate v(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -6017*d**4\/4 - 2*d**3\/3 + 5*d**2 - 4*d + 1063. What is the third derivative of a(r) wrt r?\nAnswer: -36102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -j - 1, 2*j = -4*g - 0*j + 8. What is the least common multiple of 166 and g?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -212*t**3 - 12716*t**2 - 12268*t + 236 = 0.\nAnswer: -59, -1, 1\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdvrvvrvv. Give prob of sequence rvk.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 0)*(-2*p**2 + 122*p - 50*p - 54*p).\nAnswer: 2*p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192888669 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/503448 and -101\/956?\nAnswer: 120324072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -18, -5, -61, 0 in descending order.\nAnswer: 5, 3, 0, -5, -18, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/9)*x*x*x\/((x\/(x*(x**(-3\/5)\/x)\/x))\/x)*x)**49 assuming x is positive.\nAnswer: x**(6272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154011425.\nAnswer: 5, 71, 86767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 20, -2*q + j = 2*q + 1. Let p(o) be the first derivative of 0*o**3 + o + 0*o**2 - 1 + 1\/4*o**4. What is p(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqk when three letters picked without replacement from kcxvqxxcqccc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 3:52 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 + 4 = 8*z. Let r be 174\/2 - (-4 - -3). Let m = r + z. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - 550\/(-14). Let x be (-105)\/(-3080)*11 - 4\/(96\/(-8415)). What is the greatest common divisor of u and x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 54490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*b**(-1))\/b)\/b)\/b*b**3*(b\/(b*b\/(b*b\/(b\/b**1)*b)))**(-30\/13))**(-10) assuming b is positive.\nAnswer: b**(470\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a**2 - 5*a**2 - 4*a**2)*(2 + 40*a**2 - 2) + 0*a**2 + 0*a**2 - a**4 in the form s + u*a**3 + w*a**2 + n*a**4 + z*a and give n.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + -2 + 13 - 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-6)*((-12)\/(-56))\/(10\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673941 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1011\/13 - -37693\/481. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.673315 centimeters to millimeters.\nAnswer: 36.73315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-4)\/2)\/1. Suppose -2 = -4*j - g. Is (2 + j)\/(2\/4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1184, -5186, -11976, -21548, -33896, -49014, -66896?\nAnswer: -87536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1707 - 1631. What is the remainder when p is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*x + 748, -s + 18*x - 13*x + 750 = 0. Does 74 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18408341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -84508, -84753, -85168, -85759, -86532, -87493, -88648?\n\"Answer: -v**3 - 79*v**2 - v - 84427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*f = 178, 202 = 5*g - 2*f - 2*f. Suppose -442*o + 51*o = -175168. Calculate the highest common divisor of o and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:30 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25362838, -25362839, -25362840, -25362841?\n\"Answer: -m - 25362837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 174250020?\nAnswer: 1394000160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -53. Suppose 0 = 4*x - 0*n - y*n - 1535, -x + 374 = -4*n. Suppose 34 = 7*i - x. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -1299.6 (c) 2\/13 (d) -0.291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 28*t**2 + 5 + 36*t**2 - 47 - 34 + 2*t as w*t + a + j*t**2 and give a.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72596 + -72596.32. Let a = -31 - -19. Which is bigger: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 3*k**2 - k - 4. Calculate the remainder when 50 is divided by r(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -17*j**4\/12 - 25*j**3\/6 - 2*j**2 - 22*j. Is l(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a**2 + 6*a - 11. Let z(t) be the third derivative of -t**5\/12 + t**4\/8 - t**3 + 5*t**2 + 11*t. Suppose -i + 7 = -0*i. Give i*z(b) - 4*c(b).\nAnswer: b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 1 = 2*x, -49*x + 3 = 6*h - 23*x - 28*x + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 times 4786\nAnswer: 1244.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30245468*p**3 + 8879206*p wrt p?\nAnswer: 181472808*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 greater than 520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 14 = -3*i, 5*m + 0 = -4*i + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -2*s + 17, -44*s + 88*s + 16 = 48*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2850465*l**5 + 4721120*l?\nAnswer: 57009300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -329394 and 0.2.\nAnswer: -329393.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**4 + f**3 + 4*f**2 + 3*f + 3 + f**2 - 3*f**2 + 0*f**3 as r*f**4 + j + i*f**2 + v*f + u*f**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - p - 1. Let q(o) = -4*o**2 - 3*o - 3. Let w(k) = 6*f(k) - 2*q(k). Let n(m) = 3*m**2. What is w(n(x))?\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/370 and -95\/576386.\nAnswer: 2881930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 566650.5 decades in months?\nAnswer: 67998060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 253969682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 divided by -42?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**3 + 27*p**2 - 6*p + 24. Let s(g) = -4*g**3 + 14*g**2 - 3*g + 12. Let f(w) = -3*d(w) + 5*s(w). What are the prime factors of f(11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 56 = -4*p. Calculate the least common multiple of p and (-4277)\/(-94) - 3\/6.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 5*z - 41 = -14*f, -3*z = -15 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 13 + (2 - -3 - -1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 15*g + 13. Let s be l(-8). Suppose -21 = -s*u - 1. Solve 4*t + u*y = 3*t + 1, 2*t - 4*y = 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*j - 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 4 - 4)\/5)\/(-4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + (-27 - (-58 + -17 + -12)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2 + 2)*(-12*h**4 + 6*h**4 - 9*h**4).\nAnswer: 30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-35)\/(-4))\/(123\/24 + -5).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -2\/11, -0.1071, -2\/7, 754, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-1 + 2 + 1 + (1 + 1 - 1)*(0 - 4 + 3) + 2 + 3 - 4)*(-2*i - 2*i + 3*i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1805259 + 2896880 = 19*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g + g + (-1 - 1 + 5)*(6*g - 2*g - g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q + 1. Let z be h(6). Let w = 26 + 0. What is the greatest common divisor of z and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1924, 3832, 5740?\n\"Answer: 1908*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34.7 times -2\nAnswer: -69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c**3 - 3*c**3 + 4*c**3 + (-2*c + 3*c + c + c**3)*(189 + 192 - 117) to h*c**3 + w + f*c + q*c**2 and give f.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*d - 12*d = -529*d + 10612 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21716565 and 8?\nAnswer: 173732520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 109964, 0.084 in ascending order.\nAnswer: -4, 0.084, 109964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + q - 610, 32 - 36 = 2*q. Calculate the least common multiple of j and 272.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 144.\nAnswer: 23\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4*h + 22, -c + 4 + 4 = 2*h. Let a(m) be the third derivative of m**4\/24 - 5*m**3\/6 + m**2. Calculate a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 1, c: 1, j: 1, s: 3}. What is prob of sequence cj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 7. Let g be y(-3). Let k = 16 + g. Let p(s) = -8*s + 5*s + 2 + k*s. Determine p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 - 4*m**2 - 2*m**3 + 3*m + 3*m**3 - 2*m to z*m + x*m**3 + t*m**2 + c and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -737 - 34?\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 1. Let b(a) = 23*a**2 + 2 + 2 + 30*a**2 - 7*a**3 + 22*a**2 - 77*a**2. What is b(z) + 3*u(z)?\nAnswer: -4*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*s - 1684*s + 959*s - 792*s - 2312*s.\nAnswer: -3696*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 595, 2459, 5587, 9973, 15611, 22495?\nAnswer: 30619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 1 + sqrt(19) - (sqrt(209) - sqrt(209)*3)\/sqrt(11)) + -5)**2 - ((2*sqrt(114)*3)\/(sqrt(486)*1) + 5).\nAnswer: -242*sqrt(19)\/3 + 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5039265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 109, 107, 113, 133, 173, 239, 337, 473?\n\"Answer: g**3 - 2*g**2 - 3*g + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125930 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 - 3*y**4 + 71*y**3 - 71*y**3 + y**4 - y**5 - y**4 + (-y**3 - 3*y + 3*y)*(y**2 + 5 - 5) + 4*y**5 - 2*y**5 + 0*y**5.\nAnswer: 3*y**5 - 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -374.63316 to zero decimal places.\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l**3 + 33*l**2 - 7. Let o(q) = -2*q**3 + q**2 - 1. What is -5*o(b) + t(b)?\nAnswer: b**3 + 28*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*i - 56*i**2 - 14*i + (2*i**2 + 2*i**2 - i**2)*(3 + 0 - 1) + (0 + 0 + 2*i)*(2*i + i - 5*i) - i**2 + 4*i**2 - 4*i**2.\nAnswer: -55*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -0.196 (b) 404 (c) -1 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 + 2)*(-11)\/33?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -72*z + 28912. Calculate h(402).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -142530 (base 8) to base 10\nAnswer: -50520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 25 + 7 = 0. Let i(y) be the third derivative of -y**5\/60 - 7*y**4\/24 - 2*y**3\/3 - 97*y**2. Let d be i(l). Is 1 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - 254203?\nAnswer: -254053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 80*i**2 + 465*i + 6. What is m(-6)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**7\/21 - 2*m**6\/15 + m**4\/3 + m**3\/3 + 30*m. Find i, given that u(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 686838 or 686840?\nAnswer: 686838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 110711 and 80 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 7:17 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-8))\/((-1)\/4). Suppose 86*w + 109 = -1181. Sort z, -3, w in ascending order.\nAnswer: w, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssvm when four letters picked without replacement from fydyvsmdfdfffsf?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(((((z**8\/z)\/z)\/z)\/z)\/z))*z)\/z**(2\/17) assuming z is positive.\nAnswer: z**(83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 26*i**2 + 78*i - 199. Determine n(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*p = 13, 50 = -3*j + 8*j + 2*p. Calculate the greatest common factor of j and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282107.\nAnswer: 3, 427369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.026504 + 67298.56.\nAnswer: 67298.533496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3575749 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 u when four letters picked without replacement from iuiiiu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:35 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6221 - 10777. Round t to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -1) + (0 - 1). Let i = -39 + 42. Suppose 2*x = i - 3. Sort -11, z, x in descending order.\nAnswer: x, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1508*t**2 + 9*t - 3. Let f(u) = 64844*u**2 + 390*u - 130. Determine 3*f(n) - 130*y(n).\nAnswer: -1508*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*x - 2985, -5*d - 4*x = -d - 2404. Find the common denominator of (-833)\/180 + (-4)\/18 and (-22)\/(-77) + d*1\/(-112).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 28 + 3. Let g be c\/20 + (-26)\/8. Is g not equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1836*k. Let o(a) = -3636 - 2*a + 3636 + 3*a. Give o(f(h)).\nAnswer: -1836*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29\/2, 1\/6, -1\/10, 0.77, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) + 1\/3. Suppose -10*j = -8*j - 8. Suppose j = -5*l + 4. Which is the closest to -0.1? (a) q (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Suppose -j*u + 4*i - 5 - 1 = 0, 5*u = -i + 29. Suppose 0 = 2*s - 3 - u, 4*s + 74 = 5*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23224 * -1.\nAnswer: -23224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1270*m + 7564. Let r be l(6). Sort r, -2, 0, 2\/9 in descending order.\nAnswer: 2\/9, 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 17 = -5*g, 3 = 5*p + 5*g - 2. Let z(j) = -3*j - 1. Let r be z(p). Let x = r + -1. Solve 3*l = x*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3083007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24, 34, 44, 48, 40, 14, -36?\n\"Answer: -t**3 + 6*t**2 - t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 6*w**2 + 3*w - 5. Let n be v(6). Suppose -5*t + 63 = 4*t. Let l be (t - 9) + n\/7. Which is the third biggest value? (a) l (b) -0.1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 0, 77*a - 78*a = 4*q - 16. Suppose 0 = -4*i - 2*d + 102, d - 26 = q*i - 137. What is the remainder when 207 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let w = -29 + 29. Let m(y) be the third derivative of -1\/12*y**4 + w*y + 0*y**3 + 0 - y**2. Determine p(m(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:16 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = c - 13*k + 6, 3*c + 21 = 4*k. Sort 9, -4, c in descending order.\nAnswer: 9, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2. Let n(o) be the third derivative of -61*o**6\/360 + 31*o**3\/6 + 2*o**2 - 4*o. Let p(k) be the first derivative of n(k). Determine p(c(b)).\nAnswer: -244*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1479*i + 10441*i - 2498*i + 14632*i + 7014*i in the form j*i + v and give j.\nAnswer: 28110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93956268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33591*y**2 - 2*y - 123694 wrt y.\nAnswer: -67182*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/4 - h**2\/4 + h\/4 + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4190 or 2\/85?\nAnswer: -4190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4062*u + 680*u + 79663 = 22759 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10195 = -5*d + 5*o, -4*d + 13599 = -o. Suppose 13*a - d = 9*a. What is a rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 6\/3*4. Suppose -c*i = -o - 8*i + 11, -4*o = 5*i - 23. Solve -o*m - 2*m = 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*3*(-2 + -4 + 5*(0 + sqrt(108))))**2.\nAnswer: -12960*sqrt(3) + 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - t - 16000 = 0, 20*t - 23961 = -3*r + 15*t. Is 128 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:55 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 14*c + 36*c = -6364. Which is bigger: -147 or c?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 357.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80262 is divided by 43.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.83139 nanograms to kilograms.\nAnswer: 0.00000000005283139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -142, -259, -330, -337, -262, -87, 206?\n\"Answer: 3*m**3 + 5*m**2 - 153*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12803 + (-5 - -2)\/3. Let u be 1 - 4\/8*a. What is u rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 90431.04g?\nAnswer: 90431040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8154*c - 8153*c = -5*i, 3*i = 2*c - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77654 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-22)*c)**47*((c\/c**(1\/4))\/c)\/(c*c**(5\/2)) assuming c is positive.\nAnswer: c**(-3963\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -323*r + 4813. Determine d(13).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2836, 5581, 8236, 10801, 13276, 15661, 17956?\n\"Answer: -45*v**2 + 2880*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*r + 186, 2*k + 3*r + 372 = -2*r. Let z = k + 188. Solve n + 0 = -z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4 + 1924*i**3 - 22*i**2 + 421209*i?\nAnswer: 24*i**2 + 11544*i - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -159*x**2 - 1476*x + 6693. Let b(n) = -30*n**2 - 295*n + 1337. Let l(a) = 21*b(a) - 4*q(a). Let l(t) = 0. What is t?\nAnswer: 5, 87\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/106436651 and -41\/17?\nAnswer: 1809423067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 5:21 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 2)*(-2)\/(-66). Let y = 38092 - 1790327\/47. Which is the second biggest value? (a) 3\/8 (b) -2 (c) y (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 31*k**4\/24 + 31*k**3 + 3*k**2 - 3*k. Is 20 a factor of y(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 + 66*b\/13 + 296\/13.\nAnswer: -2*(b - 37)*(b + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -15*s - 182. Let q be i(-12). Sort 4, -35, q, 2.\nAnswer: -35, q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -4 - -5) + 16 - 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 213840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2807*f - 80 = -2822*f + 7*a, -3*a - 24 = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 t, and 1 b when four letters picked without replacement from {t: 5, r: 5, i: 1, b: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 - 1 + 3*b - 12 + 105*b**2 - 34*b**2 - 54*b**2 - 5*b**3 in the form v + h*b**3 + w*b**2 + f*b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.075 - 7.4. What is b rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -3, -21, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 48\/(-22) - (-8)\/44. Sort 4\/7, 11, r in increasing order.\nAnswer: r, 4\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1084865690 and 1084865690 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2071965 and -133\/66?\nAnswer: 45583230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 + 223. Let o = -99 + 176. Let b = o - 36. Calculate the remainder when b is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, f: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**7\/21 - 43*u**6\/15 + 439*u**5\/10 + 527*u**4\/6 - 440*u**3\/3 - 484*u**2 + 24*u. Determine b so that o(b) = 0.\nAnswer: -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 13*y - 7. Let v be l(12). Suppose 3 = 2*w - v. Let i be 0\/(-1 - -1*w). Does -2\/3 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 383 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v - 6 = -33*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2. Let p(b) be the first derivative of -221*b**2\/2 + 156*b - 14. Let g(v) = -21*v + 15. Let w(l) = -52*g(l) + 5*p(l). Give w(j(s)).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w - 6. Let p(t) = -t**3 - 6*t**2 + 6*t - 9. Let d be p(-7). Let j be d\/(-10) + (-272)\/(-40). Is r(j) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/((-5412)\/198)*(-2)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*l - 2840830 - 403859 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*d = 13*d + 44 - 140 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 302390*g**5 + 61*g**3 - 56908335*g**2?\nAnswer: 18143400*g**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 64063?\nAnswer: 64061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Suppose 3*b + i*b - 220 = 0. What is the remainder when 173 is divided by b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 60. Let t(u) = -8*u**2 + 16*u**3 - 3*u**2 - 66 - q*u + 71. Let r(j) = 3*j**3 - 2*j**2 - 4*j + 1. What is 11*r(s) - 2*t(s)?\nAnswer: s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 2 + 11 = -5*o, q - 8 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1334552250 (base 6) to base 8.\nAnswer: 75602706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -20 - -27) + (4 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-816*i - 414 + 203 + 211)*(2*i + 0*i - 3*i)*(2 - 5 + 2) in the form d + p*i**2 + q*i and give p.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/((-1)\/(-2)). Let j(i) = -i**2 + 105*i + 670. Let d be j(111). Sort v, -2, 0, d in increasing order.\nAnswer: -2, 0, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - -2) + 0 - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*m*u + c**2*m - 782*c**2*u - 6*c**2 - 462*c*u + m*u - 2*m wrt c?\nAnswer: -2*m*u + 2*m - 1564*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -336*p**2 - 33*p - 33. Let k(s) = -15*s**2 - 8*s - 20. Let v(a) = 16*a**2 + 7*a + 17. Let r(b) = -5*k(b) - 6*v(b). Calculate 2*h(q) - 33*r(q).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471439 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from cbiqcic?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 82\/4 + (-1)\/(-2). Let j = -21435 - -21456. Calculate the greatest common factor of j and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 168 + 47. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 1. Let g(y) = -56*y**2 - 3. Determine g(f) + 4*p(f).\nAnswer: -52*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3860, -3803, -3658, -3383, -2936, -2275, -1358?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - -5. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v - 2*v. Suppose -2*i + 4*a = v*i - 60, -4*i = -3*a - 60. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 3*t**2 + t + 21. Suppose -3*o = 4*u - 27, 13 + 2 = 5*u. Give w(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517076398 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**5*z + f**2*s**3*z - 20*f**2*z + 2*f*s**3 - 2*f*s + 8*s*z wrt f.\nAnswer: 220*f**3*z + 2*s**3*z - 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*p + 102. Let l = p - -20. List the prime factors of (3 + (7 - 3))*l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 248, 495, 742?\n\"Answer: 247*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + w + 12 = 0. Sort w, -4, -2 in increasing order.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2*r - 4*r + r + 10.\nAnswer: -3*r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 + 14*m**2 - 3*m + 7. Let v be r(-5). Sort v, 1, 3 in descending order.\nAnswer: 3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.2, -187, -1, -15, -5, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109.2 - 14.2. Let t = -296.8 + 211.1. Let w = t + x. Round w to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.128423 millilitres in litres?\nAnswer: 0.004128423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3568*o + 1974*o + 57445 = 409543 + 279690 for o.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -5*b**8\/112 + 4*b**7\/21 + b**6\/4 - 2*b**5\/3 - 5*b**4\/8 - 2*b**2 + 156*b. Suppose y(t) = 0. What is t?\nAnswer: -1, -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 + 14 - 58 + 5*x**2 + 2*x**2 + 4*x**2.\nAnswer: x**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12*2*(52056\/(-1800) - -29)*-630?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -288, -372, -436, -480, -504, -508, -492?\n\"Answer: 10*b**2 - 114*b - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344911?\nAnswer: 7, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117807 is divided by 58164?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -25 + 81. What is the highest common divisor of 35 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134514 by -2862.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -16. Suppose -c - 6 = c - 4*t, -j = 5*c - 3*t. Let u be 2\/(-1) - 30\/c. Solve r = u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y - 230. What is the third derivative of 6*c**2 + y*c**5 - 2*c - 50*c**5 + 2*c wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 119 = -5*t - 4*l, -117 = -5*t - 3*l. Let g be t\/(-9) + 3\/1. Find q such that 1\/3 - g*q**4 + 0*q**2 - 2\/3*q + 2\/3*q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 9. Let a be (8\/(-6))\/((-4)\/(-24)). Let g be x(a). Let c be (0*1\/(-2))\/g. Solve -4*q - 3*l = 4, -l + c*l = -q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/38 or -0.01068?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 + 22*n - 65. Determine u(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10313\/15 + 686. What is the common denominator of f and 41\/255?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igiegjeji. Give prob of sequence jg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1939*s - 2101*s - 428*s - 111700 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -17909*a + 25. Let q(c) = -26863*c + 35. What is 7*b(k) - 5*q(k)?\nAnswer: 8952*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 6*a - 3. Let v = 17 - 22. What is g(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f - 710*f - 472*f.\nAnswer: -1149*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*q + 2*r + 10, -3 = r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 41432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 8*g + 1. Let l(h) = -h**3 - 5*h**2 - 2*h - 2. Let j be l(-5). What is the units digit of c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 14*r. Let u be n(-7). Suppose -5*i - 420 + 1170 = u. Suppose -q = 2*q - i. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3572 and 285760.\nAnswer: 285760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -25. Suppose 2*r + 5 = -5*y, -1 + 2 = -5*r - y. Let q = -143\/28 - -34\/7. What is the second smallest value in q, c, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*30\/9*(-12)\/30\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -327.63 + 329. Let l = p - 1.17. Put -1\/5, -4, l, 0.3 in increasing order.\nAnswer: -4, -1\/5, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -125\/4. Which is the nearest to -2\/3? (a) 5 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -1227. What are the prime factors of v?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/s**(-3\/7))**(-18) assuming s is positive.\nAnswer: s**(450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(0 - (-2 - 1)). Suppose -i - q = -5. Let x be (0 + -2)*1\/i. What is the second biggest value in 5, x, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28198823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 8*t**2 - 10*t + 13. Let f be r(9). Solve -2*w - f = -0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 407380.6 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 393*q - 20499. What is v(52)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 17\/2, 1, 42\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-6)\/(-3) + -1. Let t be (-2)\/(-8) + q\/(-4). Is (t - -33) + 0\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 58. What is the common denominator of (-172)\/r*(-9)\/(-18) and -23\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-54) + 79464\/1134. Suppose 2*o - 50 - 45 = -3*r, 5*r - 150 = -5*o. Calculate the highest common divisor of r and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/832 - 24101\/7488. Is -4 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 1694715\nAnswer: 46\/1694715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -131 - -134?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -54 - (19 + -9 + 2) - 9 - -11\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28*-0.1385\nAnswer: -3.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 550664242 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: Solve 481*y = 4*a + 480*y - 83, y = -6*a + 137 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 123062416.05 to the nearest 1000000.\nAnswer: 123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 367 + -125. What is the highest common factor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15781570 from 0.4621422.\nAnswer: -15781569.5378578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from ezyizyzyziey.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000506294312 rounded to six decimal places?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/27)\/q)**(2\/41))**(-7\/4) assuming q is positive.\nAnswer: q**(91\/1107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 21. Let w = k - 16. Calculate the common denominator of w\/8 - 202\/(-88) and 32\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*i - 3*i = -118, -3*i = 4*r + 138. Let l be ((-12)\/r)\/(0 + -1). Which is the closest to l? (a) 3\/5 (b) -0.6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*r + 4*r. Let x = 12 - r. Let b = -201\/434 - 47\/434. What is the biggest value in 2\/5, b, x, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14878 - 13763.9. Round s to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90526167 to the nearest integer?\nAnswer: 9515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -8\/183 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318383893 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.4. What is the closest to v in 1\/7, 5, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, 1, -4 in decreasing order.\nAnswer: 5, 1, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186.58 - -404.52. Let m = k + -2.94. Let g = 196.3 - m. Round g to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*a + 1 + 47 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t + 37*t = -315. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**3\/15 - 247*g**2\/10 - 246*g\/5 + 1624. Find d such that o(d) = 0.\nAnswer: -246, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -123, -381, -867, -1653, -2811, -4413?\n\"Answer: -12*m**3 - 6*m**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**2 + 61*k + 13. What is the tens digit of q(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 7) + 4 - (-3 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - a**2 + 0*a**2)*((2*a**2 - a + a)*(-2*a + a - a) - 13*a - a**3 + 13*a).\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y - 3*t + 150, y - t = 50. Suppose 0*v = 4*r + v - 65, -2*r = 4*v - y. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19146 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*f + b, 4*b + 4 = -0*b. Let z(w) = -w**2 + w + 2. Let p be z(f). What is the remainder when (-171 - -1)*p\/10 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 5, 234, -14, -6, -22 in increasing order.\nAnswer: -22, -14, -6, -3, 4, 5, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -2\/9 (b) 1\/5 (c) -0.2 (d) 275 (e) 4\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from tkkxtkttrttdt.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35025 = -30*y + 55*y. What are the prime factors of y?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 127?\nAnswer: -5\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 12 = -4*c + 2*b, 0 = -4*c + 2*b + 24. Suppose 3*o - 8 = n, -2*o - 2*o + 2*n = -c. Suppose o*j = -0*j + 12. Solve -j*h + 4*h - 5 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:09 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102212201 + 1103?\nAnswer: -102211032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 6) to base 8\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*z - s, 2*z - 6*z - 5*s + 33 = 0. Suppose 4*j + 8*n = 3*n - 10, 0 = z*j + 3*n + 4. Sort -1, j, -3 in ascending order.\nAnswer: j, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5560196303 to the nearest integer?\nAnswer: 74567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/168 + (-27)\/204)*-8.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 + 1 + 9*g**2 - 3*g**3 - 2 - 2*g**3 + 10*g. Let v be u(10). Calculate the smallest common multiple of 30*(v + (-10)\/(-6)) and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from ejjjxbpbbbpljjjp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 632 - 310. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(7 - 3) + 0. Let q be -3 + (t + -2)\/4. Let s = 48 + q. Calculate the highest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 12*j - 8*j, 2*o + j - 2 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-17) + -1)*2. Let q = -2.6 + 1.5. Let u = q + 4.1. What is the second smallest value in -0.1, m, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, 15 in descending order.\nAnswer: 15, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, 41, 155, 335, 593?\n\"Answer: 2*x**3 + 15*x**2 + x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.7334 to the nearest integer.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288 divided by 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i**3 - 9*i**2 - 16*i + 38. Calculate s(4).\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 39*c + 98. Let j be o(37). Suppose -2*m - 8 - 32 = -5*p, -3*p - m = -j. Solve -1 = p*l + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 10:21 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-98)\/(-44) + -17 + 16. Let a = h - -3\/11. What is the closest to -1\/4 in a, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461.6355ml to litres.\nAnswer: 0.4616355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + d - 43 = 0, -1571*d = -1575*d - 20 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(2\/5))**(11\/2))**(-10\/11) assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 23*i - 112. Suppose -2*x + 10 = 2*o - 6, 2*x - i = -5*o. Calculate the remainder when 22 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 169*g**2 + 241*g**2 - 149*g**2 + (-3*g**2 + 2*g**2 + 0*g**2)*(4 - 1 - 1).\nAnswer: 259*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 312 - -83. Suppose -a + u = 87. What are the prime factors of a?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-24))\/(174\/2436))\/((-10)\/12)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -12)*((-190898)\/(-3410) + -56)*-10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14330 rounded to the nearest one hundred?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y\/(y\/(y*y**(-20))*y))\/(y\/(y**(-14)\/y)))**46 assuming y is positive.\nAnswer: y**(-1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/3 + 4804*d**4\/3 + 2941880*d**3 - 26505724*d**2\/3 + 26515322*d\/3 - 2946680 = 0.\nAnswer: -1221, 1, 3620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -59, -77, -101?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - g)*(2 - 6 + 3) + 2*g + 2 - 2)*(2*g - 2*g**3 + 3*g - 2*g).\nAnswer: -6*g**4 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8993002?\nAnswer: 2, 71, 63331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.5 (c) -909\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-45))\/(((-18)\/15)\/1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, q: 3}. Give prob of picking 2 c and 1 q.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-165)\/(-11))\/1)\/((30\/45)\/(-2)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22888, -45802, -68712, -91618?\nAnswer: -114520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 40. What is the remainder when 9 - (-1)\/(15\/255) is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.66 - 27.34. Let a = 64.55 - 93.5. Let g = k - a. Round g to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 17*v**2 - v - 3. Let i be j(4). Let w = -227 + i. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 3, 0.012?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37401.\nAnswer: 3, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*(-20)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = 9*o + 1937. Let q = o - -1682\/7. Which is the biggest value? (a) 0.3 (b) q (c) 1\/3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21615.9389 rounded to the nearest ten?\nAnswer: -21620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsu when three letters picked without replacement from zoshzue?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let g be 26*(-1 + (2 - s)). Let u = g + 36. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(240) - sqrt(240))\/sqrt(10)*-5)\/(sqrt(392)*2*6).\nAnswer: -5*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 smaller than 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/909 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*v - 8 = 47*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*k**4 - 11063813*k**3*m + 33791*k**2*m + 5656*k**2 wrt k.\nAnswer: 144*k - 66382878*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**4 + 105118*j**3 + 525621*j**2 - 630738*j = 0.\nAnswer: -6, 0, 1, 105123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 265, 151, -693, -2639, -6059, -11325, -18809, -28883?\n\"Answer: -62*z**3 + 7*z**2 + 299*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 8*u. Let b be g(-7). Let j(c) = c**2 - 6*c - 5. Let y be j(b). Let n(v) = -y*v**2 - 1 + 1 + 2*v**3 + 5*v**2. Give n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -106. Let w be (2\/(-4))\/(3\/(-12)). Let p = n + w. Solve -5*j - v = 18, 5*j - 4*j = -p*v - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a**3 - 3*a**2 - 22*a + 53. What is the least common multiple of 828 and b(2)?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -30*s**2 - 10*s + 29*s**2 - 6*s - 11. Does 10 divide u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*v - 92 = 0, -29*v = 4*g - 33*v - 92. What is the remainder when g is divided by 99\/12 - 2\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 - 0.7. Suppose -2*s + 4*s = 5*l - 110, 5*s = 5*l - 125. Suppose -4*y - y = l. Put y, 4, x in ascending order.\nAnswer: y, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 502.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*b*b**8)**39\/(b**(-6)\/(b**(2\/15)*b)*((b\/(b\/b**2))\/b)**(-3\/31)) assuming b is positive.\nAnswer: b**(21497\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338983 is divided by 338930?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48601 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 289 and 884.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2, 2, 7\/2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 9*m + 4. Let n be f(-6). Let o be 2\/3*((-28)\/n - -1). Which is the closest to -0.1? (a) o (b) 8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780 minus -1?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101 - 100 - (2 + 10)) + 21 - (2 + -19)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4320 and 139\/672.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*k, -4*t + k = -3*t - 104. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 0, -2*u = -0*u - 5*f - 24. Suppose 0 = -u*v + 7*v + 20. Solve -24*c**2 + 12*c**3 - 24*c**v + 24*c - 4*c - 6 + 22*c**4 = 0 for c.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.6298 rounded to one dp?\nAnswer: 339.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, j: 3, u: 3}. Give prob of picking 2 j.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1950, -3900, -5884, -7902?\n\"Answer: -17*t**2 - 1899*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 1)*(10*m**3 + 13*m**2 - 13*m**2) - 8*m**3 + m**3 - 3*m**3.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/(1463\/66))\/(36\/(-56)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*p + 60, -2*c - 5*p = -21 + 89. Let u = -2932\/7 + 46415\/112. Calculate the common denominator of ((-548)\/60)\/(-2 - c\/10) and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*m = -210, -4*w + 386 - 116 = -2*m. Let c = w + -51. What is the greatest common factor of 42 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 4:39 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 351 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 8*n**2 - 5*n + 1. Determine p(5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -4, -12, 4, -69, -11 in decreasing order.\nAnswer: 4, 0, -2, -4, -11, -12, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 455691 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let l(d) = 12*d - 18. Calculate 15*k(o) + l(o).\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -2*c**3\/3 - 10. Let k(j) be the second derivative of 5*j**3\/2 - j. What is k(o(b))?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 17*w**4\/12 - 28*w**3\/3 + 4*w**2 + 11*w. Let m be h(5). What is the greatest common divisor of 38 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001219 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 + -106. Let g be 2\/(-5)*55\/44. Which is the nearest to o? (a) g (b) 2\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p + 69. Let r be y(6). Suppose r*f = -28 + 46. Solve 5*x = -4*d - 13, 0*d = -5*x + f*d - 31 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h + 3*h + 7*h - 405 - 656 + h.\nAnswer: -h - 1061","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38304312 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-54) + 1)*((-686)\/(-35) - 20).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 3166?\nAnswer: 75984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 3, 4, 15, 42?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28\/19 in -2\/9, 8\/5, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 98*g - 9740. Calculate j(100).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d = 4*j - 60*d - 4 + 28, -4*j = -3*d + 40 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 0, 0*x = -3*x + 2*u + 15. Find the second derivative of 15*k + x*k**2 + 2*k**2 - 32*k + 20*k wrt k.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1775*h**5 - 271*h wrt h?\nAnswer: -35500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1828 minus 1.913?\nAnswer: -3.0958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-23)\/69)\/((-3)\/(-9)). Put 30, p, -4 in decreasing order.\nAnswer: 30, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4137*z**2 - 2072*z**2 - 2062*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 46*d - 26 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 2}. Give prob of picking 1 p and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-39)*(6514455 - 116) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3*39\/2. Let i(f) = -f**3 + 14*f**2 - 13*f. Let p be i(h). Suppose 8 = 2*o + c, -4*o - 3*c - 43 = -57. Sort -11, o, p.\nAnswer: -11, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 805?\nAnswer: -24\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2288624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 1)*(-5 + 4 + 0)*(-4*h + 0*h + 2*h + (1 - 2*h - 1)*(-3 + 3 - 1) + h + 2 - 2 + 0*h + 0*h - h + h + 2*h - 2*h + (0*h + 4*h + 2*h)*(0 + 0 - 2)).\nAnswer: 33*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 44 = 8*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t**2 + 652269254*t**3 + 652269251*t**3 - 1304538502*t**3.\nAnswer: 3*t**3 - 23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*h = 66*h + 3*j, -9*j = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 = -48. Let y = 15 + u. Find the third derivative of -22 + 22 + 5*m**3 - 2*m**y wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 6*k + 12. Let d be i(-5). Let w = 1 + d. Calculate the least common multiple of w and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50885423.\nAnswer: 2423, 21001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*20\/(-130)*6\/18?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -4, -0.4, -1.\nAnswer: -4, -1, -0.4, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.68, 2 in increasing order.\nAnswer: 0.68, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 5*i**2 - 3. Let h(n) = -4*n**2 + n + 3. Let d(x) = -2*c(x) - 3*h(x). Let s be d(-2). Put s, -1, 3 in decreasing order.\nAnswer: 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + 42*f. Let s be w(-14). Factor -g + s - 5\/4*g**3 - 1\/4*g**4 - 2*g**2.\nAnswer: -g*(g + 1)*(g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*x = -0*i - 33, 4*x = -4*i + 48. Let u(j) = j**3 - 11*j**2 + 4*j - 8. Let w be u(i). Let l = w + 265. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976709193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457431429 is divided by 107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27490771?\nAnswer: 7, 11, 223, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*((sqrt(208) - (-1 + sqrt(208))) + -1 + sqrt(208))*-6)**2.\nAnswer: 9704448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 17*p**2 - 52*p + 61. List the prime factors of t(24).\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181 and 29684.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5972971 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-2 - 6\/(-3)). Let r be s\/10 + (-130)\/(-25). Solve -3*i - r = 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.41*114.\nAnswer: 274.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -1.1. Let x be (2 - (-26)\/(-10))\/((-3)\/(-15)). Let t be (0 - -1)*-1*x\/(-3). Which is the nearest to t? (a) v (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + 0 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*n, -27 = -6*n - 40942075*t + 40942078*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m. Let s be b(-4). Suppose -1 = s*c - 37. Let d be (c\/(-6))\/((-3)\/4). Calculate the greatest common divisor of 5 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2) - 87\/(-928)*-22. What is the smallest value in -1.9, -4\/7, x?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let y be (-4)\/(16\/(-4))*0. Let g(o) be the third derivative of 1\/15*o**5 + 2*o**2 + y + 0*o + 0*o**4 + 0*o**3. What is g(q(t))?\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7952 and 18256.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -4\/5 (c) 30 (d) -3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.97 + 0.03. Let t = -19.564 + -0.236. Let w = 20 + t. Which is the nearest to w? (a) 1 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 6. Let b be 11\/t*-1*1. Let h(v) = v**2 - 5*v + 4. Let l be h(5). Sort 3, l, b in increasing order.\nAnswer: 3, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/21, -0.9, 2\/15915?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 84 = -60 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = -3*w, -278*w = r - 279*w - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p - p - 6*p)*(17*p - 208*p + 62*p)*(5 - 3 - 3) in the form a*p + y*p**2 + f and give y.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztt when three letters picked without replacement from {z: 2, t: 2, u: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678424?\nAnswer: 2, 137, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) - (-28)\/70. Let h(o) = -o**3 + 5*o**2 + 7*o - 6. Let b be h(6). Is b smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9464 and -1660?\nAnswer: -15710240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - l - 28835, -3*u + 21629 = -19*l + 21*l. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3 - 11 = 0. Let g be (-3)\/(-4*3) + 1\/(-4). Let b be (-4)\/10*(-5 + g). Solve -k*v - b = 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/5)\/((-134)\/(-134)*1\/2)*-5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - 14. Let q = 56 + r. Let c be ((-72)\/q - -1) + 1. Sort -0.5, 8, c in ascending order.\nAnswer: -0.5, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 34. Let a be (156\/(-105))\/(8\/p). Is a at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965371.\nAnswer: 11, 19, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 119, 151, 205, 293, 427?\n\"Answer: 2*x**3 - x**2 + 21*x + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2. Let y(m) be the third derivative of -7*m**4\/24 - m**3\/3 - 4*m**2. Let p(s) = 1. Let d = -92 + 91. Let j(b) = d*y(b) - 2*p(b). What is j(z(i))?\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 16 = 3*p, 2*p = -5*o + 2*o - 9. Let m = 25 + o. What is the remainder when 6 is divided by m\/9 + 14\/(-63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66608 and 1348444.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - i**2 + 4*i - 3. Let q(v) = v**3 + v**2 - v. Let y(z) = -k(z) - q(z). Calculate y(4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113834 - 50381. Let k = f + -4695437\/74. What is the common denominator of k and -119\/20?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 0, -0.4, -5, -57, -3\/4, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.511467cm in meters?\nAnswer: 0.07511467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004358312 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**4\/5 - 516*s**3\/5 + 4192*s**2 - 50700*s + 185850 = 0. What is s?\nAnswer: -295, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4126 is divided by 98.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4465 * -0.57416.\nAnswer: 2563.6244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8325 - 8155. Calculate the remainder when q is divided by 161.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2264 = 257*s + 165 + 398 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 17*c**2 - 98*c + 5. What is the hundreds digit of w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000010110111010100 (base 2) to base 13\nAnswer: -159c94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2612 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/(-10) - (-6)\/(-60))\/(-8)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - -2. Calculate the lowest common multiple of 10 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -19, -30, -51, -88, -147?\n\"Answer: -b**3 + 4*b**2 - 12*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 3000*q\/7 - 3002\/7.\nAnswer: 2*(q - 1)*(q + 1501)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 882?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:50 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/47 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 112.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmzqqqqiqql. Give prob of picking 1 q and 1 z.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(66)\/sqrt(3))\/sqrt(2).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 19*o**2 - 2*o + 44. Calculate y(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 20*z - 30 = 0. Let b(y) be the third derivative of -4*y**z + 0*y - 1\/220*y**6 + 0*y**3 + 0 + 1\/330*y**5 + 0*y**4. Solve b(t) = 0 for t.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 7:46 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3 + 5 - 2*m + m - 7. Let g be c(-9). Solve 0*u**3 + 0 + 0*u + 1\/7*u**g - 1\/7*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2304 - -2305. Put s, 3, -55, 2 in ascending order.\nAnswer: -55, s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 >= -4471\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 10. Determine v(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 6. Let s(c) = 1. Let z(w) = 6*s(w) - u(w). What is z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3426 by 3530.\nAnswer: -1713\/1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120275071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32074, 62667, 93260?\nAnswer: 123853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -82819 divided by -2\nAnswer: 82819\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 17. Let o be 0 - 0*1\/(-3). Suppose o = -3*f + 4 + 35. What is the remainder when f is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:17 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1181602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6764 is divided by 483.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 11 = 3*p. Let q = 12 - p. Suppose 2*a - 4*d = q, -d = 2*d - 3. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + (-5205)\/(-9))\/(3 + (-78)\/27)?\nAnswer: 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 11*s**7\/210 + 20*s**3 - s**2 + 69. Find the first derivative of h(m) wrt m.\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/60 + 5*p**4\/12 + p**3 + p**2. Suppose 5*z + 18 = -32. Is 3 a factor of f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5643)\/(-2508))\/((-4)\/72*(-66)\/8).\nAnswer: 54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3110257.57 rounded to the nearest ten thousand?\nAnswer: -3110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {g: 5, l: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -4*c + c - 2*v, c - v - 28 = 0. 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 o = -1.04 + 0.54. Which is the third biggest value? (a) -0.06 (b) 0 (c) o (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-111)\/(-222) - (3570\/3820 + (-2)\/4) and -13\/4?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 59. What is the remainder when 143 is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 6\/5, -3, 0.2, -22, -8?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**3*n**2 - 262*m**3*n - 4*m**3*s - 305*m**2*s - n**2*s wrt n?\nAnswer: 2*m**3*n - 262*m**3 - 2*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-30)*3)\/((-2)\/(-90)). Suppose d*q - 32*q + 4535 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 12\/19 (b) -5146 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.4321651 to one decimal place.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*k**4 + 11*k**4 - 58*k**5 + 24*k**5 - 41*k**5 + (-5*k + 5*k - 5*k)*(-k**4 - 2 + 2) - 2*k**5 - 2*k**5 + k**5.\nAnswer: -73*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10394 - -15110. Is 36 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.96998 kilometers?\nAnswer: 969980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v*v*v**(-1\/4)*v))*v)\/(v\/(v**(2\/21)\/v))*v**(1\/3)\/(v**8\/v) assuming v is positive.\nAnswer: v**(-107\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1195*o**3*q**3*w - o**3*q**2*w + 7*o**3*q*w + 2*o**3*w + 6*o**2*q**3 - 24*o**2*q**2*w - 8*o**2*w + 317*q**3 - 26*q**2 wrt q.\nAnswer: -7170*o**3*w + 36*o**2 + 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 183, 692, 1705, 3390, 5915?\nAnswer: 9448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3163.\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -60. Let v(s) = u - 6 - 7*s + 1 + 4*s. Determine v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r - 17768 + 74528. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*g + 27*g - 4 + 17 - 10.\nAnswer: 19*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8399\/150 - -2604\/25. Let k = t + -48. Which is the closest to 1? (a) -0.1 (b) 3\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*((sqrt(99) - (1*sqrt(99) - sqrt(99))) + sqrt(99)))\/(3*sqrt(9)*1).\nAnswer: -3 + 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/1089 and -25\/9306594.\nAnswer: 9306594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 2)*(2 - 2 + 4*l) + 0*l + 5*l - 3*l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-630)\/(-10920))\/(3\/(-2)))\/((-3)\/(-9*2))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*f - 3*b + b, f = 5*b - 28. What is the common denominator of (-2)\/(-5) + 19\/(-3) and f\/(162\/(-232)) - (-15)\/(-5)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7.3 (b) -8 (c) 30 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11573 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2 + x**3 - 4*x + 2 to a*x**3 + l + s*x + i*x**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - v**2 - 3. Let s be k(-2). Let h be ((-15)\/10)\/(s\/4*-2). Suppose 293 = h*q - m, 3*q + m - 259 = 36. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38699 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-4))\/(12\/(-24)). Let m(w) = -22*w - 7. Is m(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + -25 - -124 - 66.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 4, l: 5}. Give prob of sequence lmll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 28213382?\nAnswer: 28213376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62\/7 + 255\/28. Let o(u) be the second derivative of l*u**4 + 2*u**2 + 0*u**3 + 0 + u. What is the derivative of o(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a meter in centimeters?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 569836 = 13*k - 4*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/69 + 25\/138. Let w = 235.91 + -237. Let l = -0.09 - w. Is l greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 57*y**3 - 6*y**2 + 9*y - 12. Let f(x) = -49*x**3 + 5*x**2 - 8*x + 12. What is 5*f(n) + 4*q(n)?\nAnswer: -17*n**3 + n**2 - 4*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172 + 175. Suppose 3*x - 2*x = -b + w, 4*x = 5*b - 33. Solve -1 = b*z - 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*r - 142*r + 420*r - 142*r - 7*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v**2 + 2*v**2 - v**2)*(-2*v + 4*v - 4*v) - v**3 + 3*v**2 - 3*v**2 - v**3 + 4*v**3 - v**3 - 2*v**3 + 6*v**3 - 3*v**3)*(7*v - 6*v + 8*v).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -1243*m**2. Let k(l) = 3*l**2 - 3*l. What is k(f(c))?\nAnswer: 4635147*c**4 + 3729*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - b + 300. Suppose 0 = -2*q - 2*q - b. Let k = -13 - q. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92\/(-5)*(-1 + (-138)\/12)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/11)\/((-350)\/(-550))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 554?\nAnswer: 15\/554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**3 - x + 1. Let h be u(1). Suppose 5*f = -4 - h. Let p(d) = -1 - 2 + 2*d**2 - d**2 - 4*d. What is p(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*89.5455.\nAnswer: -35.8182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - -5) - 6 - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -909, 267, -4 in decreasing order.\nAnswer: 267, 1, -4, -909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -143*m + 54. Let o be i(-13). Suppose 7866 = 11*a - o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*q - 19*q**3 - 272 - 22*q + 5*q + 5*q - 24*q**3 wrt q?\nAnswer: -129*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2063, 2261, 2463, 2669, 2879?\n\"Answer: 2*b**2 + 192*b + 1869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 + 23*d**2 + 1691*d + 10081. Calculate w(-6).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290474803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39344541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34252, -34294, -34356, -34432, -34516, -34602, -34684, -34756?\nAnswer: -34812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 950 = u. Suppose -3*y - 4135 + u = 0. Let l = y - -13247\/10. Calculate the common denominator of l and 25\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -762*g**2 + 5303*g + 4. Calculate s(7).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 820*g**3 - 4660*g**2 - 12640*g.\nAnswer: -5*g*(g - 158)*(g - 8)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 156749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2. Let m(j) = -30266*j. Calculate x(m(w)).\nAnswer: -2748092268*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 23. Let y be q(3). Let t be (-14 - 1)*80\/(-12). Calculate the greatest common divisor of y and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 659714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20384830581 and -0.1.\nAnswer: -20384830581.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 0 + (1 - 2). Suppose 56*b + 7 = 63*b. Put b, i, 2 in decreasing order.\nAnswer: 2, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 995 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 3:28 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.2, -1.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61468324?\nAnswer: 2, 59, 181, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4*y**2 - 82*m**4 + 2*m**3 - m**2*y + 223*y**2 wrt m?\nAnswer: -48*m*y**2 - 1968*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45488.25 and 0.021.\nAnswer: -45488.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 - (2 + (1 - 6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -16*o**2 - 9*o - 1. Let z(s) = s**2 + s. Suppose 0 = -d - 8*k + 5*k - 8, -3*k = 5*d + 16. Give d*j(i) - 18*z(i).\nAnswer: 14*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let w(r) = 1751*r. Determine d(w(u)).\nAnswer: -3502*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2938937 - -1?\nAnswer: 2938938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 3*m**2 - 3*m - 20*m**4 + 2 + 19*m**4 - 3*m**3 + 2*m**3 to the form u*m + c + r*m**3 + z*m**2 + q*m**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23378 is divided by 1786.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2312 - 2311.66. Let o = -0.15 + -0.59. Let v = l + o. What is the nearest to -1\/4 in 0.4, v, -3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45274174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwuwwwwwuwwwwwuwuwww. Give prob of picking 2 u.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 3081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.02, -1.7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 3*j**3 - 2*j**3 - 4*j**3 + 5*j**3 + j**3 + (-3*j**3 + 3*j**3 - 2*j**3)*(-5 + 5 - 2).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.5, -2, 3\/43, 4, 1\/2?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3049 or 2996?\nAnswer: 3049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8744 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of -2*((-99216)\/192)\/(3\/(-2))*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -3*d - 63. Let x be -4 - d - (0 - 1*2). Solve -5*w = 2*q, 3*q + 9 = x*w - 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 17*y - 132 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w*w*w**(-1\/9)*w)\/w)*w\/w**(-8))\/((w**4\/w)\/w*w*w\/(w\/w**(-1\/4)))*(w**(-2)*w)**41\/(w**5*w\/(w\/((w**(-6)*w)\/w)*w)) assuming w is positive.\nAnswer: w**(-1175\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6.3, -2, 35 in ascending order.\nAnswer: -2, 4, 6.3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -52*n**2 - 35*n**2 + 162*n**2 + 7*n - 57*n**2 - 17*n. Suppose -2*k = 2*w - k - 3, -4*k = 4*w. Let r(i) = -6*i**2 + 3*i. Determine w*c(x) + 10*r(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w + 5. Let f = 12 + -7. Let g(b) = f*b + 10*b - b + 10 + 4. Suppose -26 = -3*q - 2*n + 4*n, -2*q + 5*n + 32 = 0. Determine q*g(a) - 17*p(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) 0.09 (c) 17 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 2282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-8))\/c**2*(c\/(c\/c**(-9\/2)))\/(c\/(c**(-1\/2)\/c)*c) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*d - 0. Suppose -4*t + 0*t = d*c - 56, c - 18 = -2*t. What is the units digit of (-96)\/(-20) - (-2)\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - -1. Find the second derivative of -s*l + 6*l**2 - 2*l**2 + 16*l - 10*l wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -7. Let o = 1.96 + 0.04. Which is the smallest value? (a) o (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1285 rounded to one dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -25?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -83616, 0, 0.1, -1\/6, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/135 - 12\/(-30). Let w = -4.3 + 0.3. Which is the second smallest value? (a) w (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 36 = 5*x, -2*x + 3*b + 57 - 39 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 35. Suppose -7*v = -11*v - x + 1276, m = 3*x. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2314, 2303, 2296, 2293?\nAnswer: 2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:46 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:55 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7 - 6)*(x - 2*x - x)*(2*x - 3*x + 3*x).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2113*j - 126*j**2 - 621*j**2 - 4227*j + 2114*j.\nAnswer: -747*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -844 - 15.\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 59?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 573001917 to the power of 1\/2, to the nearest integer?\nAnswer: 23937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -6, 16, 46, 84?\n\"Answer: 4*k**2 + 2*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 37*b**2 + 644*b\/3 + 6180.\nAnswer: (b - 103)*(b - 18)*(b + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 404 and 3.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3\/11 + 208*a**2\/11 + 998*a\/11 + 72 = 0.\nAnswer: -99, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(9))\/(sqrt(3) + (sqrt(75)\/sqrt(5))\/sqrt(5) + sqrt(3)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-1) + 4 - sqrt(171))**2.\nAnswer: 24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13924.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351682.\nAnswer: 2, 101, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 27 + 63. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 15*v + 64. Let c be (-3 - (v + 1)) + 5. Solve 3*a = -c*l + 2*a + 3, 8 = -2*l - 5*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 578*o**2 - 13*o**3 + 697*o**2 + 4*o**4 + 142*o**3 + 1125*o + 26*o**3 + o**4.\nAnswer: 5*o*(o + 1)*(o + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/1496491331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 12:25 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = m - 34, 5*m = 4*u + 98. Calculate the common denominator of -79\/99 and 348\/18*(25\/m + -1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:01 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58181789?\nAnswer: 23, 2529643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -2\/191 (b) 1\/56 (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**6 - 3 + 3 + 4*p**2 - 8*p**2 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:41 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/270 and -157\/918.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.236 or -0.876?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299895 - 299927.99984. Let u = 33 + s. Round u to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 9*n + 20. Let l(z) = z**2 + 9*z - 20. Let k = -24 + 22. Let i(b) = k*l(b) - 3*j(b). Does 10 divide i(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from llplppppllppp.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 6*s**2 + 3*s**2 + 3*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5841 (b) -1.1 (c) -0.573\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8 = 144*p - 141*p, z - 15 = 5*p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56d + e?\nAnswer: 57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/12*2\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**4\/4 - 5*u**3\/2 + 136*u**2. What is c(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -12. Let n(h) = -h**2 - 5*h - 2. Let m be n(r). Solve m*d - 3*d = 2*x + 3, -x + 2*d = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184475 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -53 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(256)\/(sqrt(56)\/(1*sqrt(7))))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = s - 269, s - 5*s = -5*w + 274. Calculate the highest common factor of 90 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -583, -2722, -6289, -11284, -17707, -25558, -34837?\nAnswer: -45544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + j + 2)*(-1 + 1 - 7*j**2 - j**2 + 3*j**2 - 4*j**2 + (4*j + j - 3*j)*(-3*j + 0*j + 5*j)) - 1104 + 1104 + 3601*j**3.\nAnswer: 3596*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5100)\/(-2250) - ((-3)\/(-5) - -1). Let q = 3\/4 + -1\/4. What is the second biggest value in 4, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4051.288 or -1\/20?\nAnswer: 4051.288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 2*z**3 - z**3 + (z + 3*z - z)*((2 - 2 + 2*z)*(5 - 2*z - 5) + 4*z**2 - 5*z**2 + 3*z**2).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 16*z - 1. Let m(o) be the third derivative of 5*o**4\/12 - 539*o**2. What is f(m(a))?\nAnswer: 160*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 199677 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 767 - 5759 = -4*h. Let z = h + -1243. Let b = 3 + -1. Solve b*u = 7*u - z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 99.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 29*b**2 - 13 - 29*b**2 + 8*b**3.\nAnswer: 8*b**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - 46\/(-10). Suppose 0 = -154*h + 164*h + 1380. Let a = -135 - h. Solve -4*n + a*w = -0*w - 2, v*n - 5*w = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31423, 23, -4 in increasing order.\nAnswer: -31423, -4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 19117.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 140 = -36*y + 18*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/8)\/(2\/(-68))*-2. Let t be (-3 + -1 + 5)\/(f\/2). Put t, -2\/13, -3\/5, 4 in decreasing order.\nAnswer: 4, t, -2\/13, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -253204 divided by 8\nAnswer: -63301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6826614, -6826612, -6826600, -6826572, -6826522, -6826444, -6826332?\n\"Answer: p**3 - p**2 - 2*p - 6826612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(64\/6))\/((-1)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 34, 36, 22, -14, -78, -176?\n\"Answer: -o**3 + o**2 + 16*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -19*q**2. Let u(l) = -8*l - 14. Suppose 2*m - 14 = 4*x, 0*m + 2*m - 6 = -4*x. Let b(z) = 3*z + 5. Let j(y) = m*u(y) + 14*b(y). Determine j(i(c)).\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 5*q - 1. Suppose -u = 2*m + 3*u - 42, 3*u + 18 = 3*m. Let a be -3*1 - ((-12)\/(-4) - m). Determine v(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -i + 3*o - 6*o, 0 = 2*i - 4*o - 160. Calculate the smallest common multiple of 18 and i.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-370)\/15 - (-4)\/6. Let w = 21 + o. Put 0, 4, w, 5 in decreasing order.\nAnswer: 5, 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, -7\/8, -101756?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**2 - 2*q - 2. Let r(o) = 53*o - 20 + 41 + 18 - 210*o**2 - 14*o. Let a(f) = -6*r(f) - 117*w(f). Let h(n) = n**2. Calculate a(h(u)).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -26, -45, -64?\n\"Answer: -19*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20348 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 331, -34.1 in decreasing order.\nAnswer: 331, -5, -34.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53 - 35 - 121*c + 5 - 265*c with respect to c.\nAnswer: -386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 71 = -63 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/2529? (a) -2\/7 (b) -4 (c) 0.3 (d) 0.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 27*m**3 + 9*m + 13. Let g be k(-8). Let n = g + 19960. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 20 = -3*n. Let s(o) = 2966*o**n - 2969*o**2 - 1 + 0 - 2*o. Give s(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 13 = 5*j, -2605*d + 44 = -10*j - 2603*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -609789, -1219609, -1829493, -2439471, -3049573?\nAnswer: -3659829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = -7. Suppose b - 4*x = 0, 0 = t*b - 5*x - 0*x. Solve b = 3*g + 3*s - 15, 0 = 2*g + g - s + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -7)\/(2\/2). Let z(c) = 2*c**2 + 2*c - 6. Does 17 divide z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*12\/(-16) + 1 + 1571481\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.02355 (c) -0.54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 + 3135520*d + 614467854400 = 0. What is d?\nAnswer: -391940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -556 - 27?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d + 43. Let n be r(8). Suppose 15 = n*w, w - 21 = -5*c + 59. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 92, 198, 346, 536, 768?\n\"Answer: 21*i**2 + i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3106 plus 64.39?\nAnswer: 3170.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 74*r - 490. Let a be z(7). Let y(o) = o**2 + 7*o + 5. Let g be y(-4). Let s = g - -12. Solve d - a = -5*f - s, -5*f + 11 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -10*y**2 + 1. Let a(f) = 11*f**2 - 1. Determine 5*a(h) + 6*c(h).\nAnswer: -5*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1961 + 9886\/5. Let t = l - 31\/2. Let d = -119\/10 - -421\/40. Find the common denominator of t and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 21 - 15362*p**2 - 20 + 2572*p**2.\nAnswer: -12790*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -39. Let i = t + 4. Let n(b) = -18*b + 16. Let f(k) = 41*k - 33. Let a(w) = -4*f(w) - 9*n(w). Give a(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*k + k = 18, 0 = -5*s - 2*k - 24. Is 25 a factor of 16\/(-4)*50\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let f(j) = -24*j**3 + 14. Let k = 21 + -7. Let z(b) be the third derivative of b**6\/24 - b**3\/2 - 2*b**2. What is k*z(w) + x*f(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551398*r + 1103604*r - 552201*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117894 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -324 + -65?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 9*y - 5*y - 310 = 0, 3*l = -2*y + 188. Suppose 1734 = 4*d - 2*b, 493 = 2*d - 4*b - 377. Let x = l + d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4181 - 689. What is the greatest common factor of g and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -0.4 (c) -268 (d) 2 (e) 1 (f) 1045.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, -28351, 3.\nAnswer: -28351, -4, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -168062 (base 9) in base 3?\nAnswer: -12022002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, w: 1, k: 2, c: 2, o: 1}. Give prob of picking 2 w, 1 t, and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b7645 - -6?\nAnswer: 2b764b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 3:06 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 - o**2 + 19 + 7 - o)*(-5*o**2 + 3*o**2 + o**2).\nAnswer: o**4 + o**3 + 104*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 - 1. Let o be a(-1). Let f = -11 - -66. Let z = -35 + f. Calculate the greatest common divisor of o and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 - 3\/(0 - -3). Suppose -p = -r - r. Let v(w) = 5*w + 0*w - r*w - 4*w**2 + 6. Let q(u) = 3*u**2 - 5. What is 6*q(s) + 5*v(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 80 - 82 - 737*b.\nAnswer: -737*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**5\/20 + 2*n**4\/3 - 2*n**3\/3 + 13*n**2\/2 + 5*n. Is u(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 13. Let n be o(9). Suppose 3*a - a = -n*s + 9, 4*s + 3 = -5*a. Solve -m - 2*b + 20 = s*m, -3*m = b - 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:47 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 15*k - 17. Let t be v(-14). Let f be -1*(-6 - (-4 - t)). Suppose -f*j + 10 = 0, -5*d + 0*d + 4*j + 2 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeleeleee. What is prob of picking 3 e?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9897372.\nAnswer: 2, 3, 61, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/(-35) - 1 - 22077\/(-21). Is 1051 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c*i**3 - 34*c*i*s + 15737*c*i + 4189*c*s + i**3*s - 5*i**3 wrt s?\nAnswer: -34*c*i + 4189*c + i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52915.086s to weeks.\nAnswer: 0.087491875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = 5*j, -5*k - 5*j = 3 + 2. Let y = k + 1. What is the units digit of 7 - y\/1*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*b**3 + 145*b**3 - 430*b**3.\nAnswer: -722*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20486642 - -279553358. Round c to the nearest one million.\nAnswer: 300000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uummouuoukomu. Give prob of sequence mmm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3 + (-62 + 32 - 9)*(1 + 2 - 2) + 5 - 4 + 2)*(2*q**3 + 2 - 40*q**4 - 4 + 39*q**4) to the form c + s*q**4 + k*q**2 + d*q**3 + b*q and give d.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-1 + -1 - 24\/(-2)). Solve q*p = 12*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -373, -741, -1105, -1465, -1821?\n\"Answer: 2*g**2 - 374*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -493353 (base 11) in base 16?\nAnswer: -be863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*n**3 - 31*i + 1405236*n**3 + 2*n**2 + 3008*n - 2 wrt n?\nAnswer: 6*i + 8431416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74 + 831*g**3 - 10*g - 2*g**2 + 72 - 836*g**3 to p*g**3 + d + y*g + s*g**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v + 2 = -50*v. Calculate the remainder when 55 is divided by (v + -72)\/(-5) + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*o + 15 - 0, 5*d - 1 = o. Suppose 5*m + t + 51 = 9, -o*t = -2*m - 30. Let k be (-3)\/m*(-6)\/8. Put k, -5, 3 in descending order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*n + 1392 = 0, 4*n - 1394 = -0*y - 5*y. What is the remainder when y is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b**2 + 0*b**2)*((-4 - 1 + 1)*(-2*b + 0*b + 4*b) - 6 - 3*b + 6).\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 93 = 2*d. Suppose 0 = -4*n + 81 + d. Calculate the lowest common multiple of n and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4072, 32759, 110672, 262423, 512624, 885887, 1406824?\n\"Answer: 4102*i**3 + i**2 - 30*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -9*m**4 + 1 + 0*m + 0*m**3 + 31\/2*m**2. Find the second derivative of b(c) wrt c.\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from {a: 2, f: 1, t: 1, l: 3, h: 1, k: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -13. Suppose -3*t = -0*t + c. Sort t, -5, 2 in decreasing order.\nAnswer: 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 8*r**2 - 18*r - 4. Let i be f(-6). What are the prime factors of 5\/(16 - -4) - (-18680)\/i?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxlppppxplxp. What is prob of picking 1 p and 2 l?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.225 + 1.775. Suppose 3*c - 6 = 0, -3*m + 0*c - 4*c = 1. Let q be m\/(-2)*4\/(-9). Put 5, q, s in decreasing order.\nAnswer: 5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5 = -2*l + 8*p, -2*l - 2 = -4*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyyfyffffff. Give prob of picking 1 f and 3 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 194*d**2 - 130*d**2 - 140*d**2 + (0 + 0 - d)*(2*d + d - 2*d).\nAnswer: -77*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5289.\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 122264, 244088, 365910, 487730?\n\"Answer: -o**2 + 121827*o + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 397332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from negxxgxgoogggoee?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or -0.794?\nAnswer: -0.794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209 - 146. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4481*p**2 + 24 - 2702*p**2 + 3787*p**2 - 24.\nAnswer: 5566*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -4\/95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0380772 and 10.0658.\nAnswer: 10.0277228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97365933?\nAnswer: 3, 7, 421, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55653\/28504 + -1\/12216. Calculate the common denominator of -43\/3 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 4 - 71 = -16*q. Let c(x) = -4*x + 19. Determine c(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10352169319 - -3.6.\nAnswer: -10352169315.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4014 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 23*d - 345 = 17*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-96)*-10*4\/5. Which is the nearest to -1? (a) -3 (b) n (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5174, -5127, -5048, -4937, -4794?\n\"Answer: 16*f**2 - f - 5189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 23 + 52. Suppose x + 3 = l. Suppose 0*i + i = x. Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*n - 24*n - 20*n)*(-46*n**3 - 36*n**3 - 26*n**3).\nAnswer: -324*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**22*g*g**(3\/19))\/(g**(-3\/10))**(-1\/2) assuming g is positive.\nAnswer: g**(8743\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1193 - -1188. Sort 6\/11, 4, h in decreasing order.\nAnswer: 4, 6\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2. Let g be ((-3)\/(-2))\/(3\/6). Let v = -3 + 6. Suppose g*d + f = -f + 7, v*d - f = 1. Let h(y) = y**2. Determine d*u(k) - 3*h(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -0.2, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*q - 11 + 11. Solve q = 3*r - 5*r + i - 8, 3*r - 4*i + 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 4, 3, -1, 5.\nAnswer: -1, 3, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 151452450 a multiple of 5218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 18.9. Let x be 0*2*(-3)\/(-12). Which is the closest to u? (a) -2 (b) x (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3648252 days to microseconds.\nAnswer: 31520897280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.1 + 14. Which is the nearest to -3? (a) 4 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/6)\/((-16)\/180). Let w be (-54)\/p*(-300)\/36. What is the greatest common factor of 165 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 23584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/8*(2\/14)\/(219\/(-146)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-20)\/(-14) - 1776\/6216. Let r be (-36)\/(-15) - (-10)\/(-5). Which is the closest to x? (a) -0.1 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**2 + 1470425*b = 0.\nAnswer: -294085, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*y**7)\/y*y)\/y)\/y)\/(y*(y\/(y*(y**(-3\/8)\/y*y)\/y))\/y))\/(y**(1\/4)\/y*(y*y**(-3\/5)*y)\/y) assuming y is positive.\nAnswer: y**(199\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3) - (-276)\/18. Let f be 1\/3 + 5\/i. Which is the closest to f? (a) -0.2 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*v - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0*-111.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + c = -35*s + 3504, -2*s + 2*c = -7036. Which is greater: 17551\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -148*c**3 - 3*c**2 + c - 1. Let b be t(-7). Let u = -2732801\/54 + b. Find the common denominator of 68\/21 and u.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -9*u + 5*u - 28, 5*a + 4*u - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 5, c: 4, v: 1, g: 7, t: 2}. Give prob of sequence cf.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + -8 - (-4)\/(-2). What is the remainder when ((-16)\/(-20))\/(2\/20) is divided by r\/(10\/(-12))*(-20)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 7*j**2 - 14*j - 43. Let d be i(-8). Suppose d*g = b + 8, -4*g - 5*b + 12 = -6. Solve 2*u + g = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 26. What is m(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*p = -120*p - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3567 = 151*a - 53*a - 19953. What is the remainder when a is divided by 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b - 4. Let i(w) = -44*w**4 + 2*w**2 - 769*w - 4. Let z(u) = i(u) - l(u). Find the second derivative of z(f) wrt f.\nAnswer: -528*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + i**4)*(2 - 4 + 1) + (-38*i**4 - 2*i**4 - 16*i**4)*(-5 + 1 + 0).\nAnswer: 223*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25454 (base 6) to base 5.\nAnswer: 110400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2135306a - 1?\nAnswer: 21353069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 38 = 4*q, -2*q - 2*z + 4 = -12. Suppose -q*m + 952 = -7*m. Calculate the greatest common divisor of 34 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(1 + (-2*(-4 + -1 + sqrt(275)) - 3*-3*(-1 + sqrt(275)))))**2.\nAnswer: 45360*sqrt(11) + 4367196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 5 (c) -1.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1995 - 1925) + -65 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i = 5*j + 28*i - 24, -6*j + 11 = -3*j + 6*i - 5*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 38, 0.3, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 72.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5736 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9609129 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 79 + 133 - 66. Let r be i(-5). What is the units digit of r\/(-2)*2 - -53?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:47 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36.962 + 37. Let m = 2.922 + f. Let t = m + 0.04. What is the biggest value in t, -4, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/(((u*u\/(u\/(u\/(u**(-23)*u*u))))\/u)\/u))\/u*u\/u**(-1\/6)*u*u**(-14\/9)*u*u\/u**(-28)*u assuming u is positive.\nAnswer: u**(209\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 161 = -11*u. Let b = u - 21. Solve 16 = -5*l - 2*f, 0 = -b*l - l + f - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let i(j) be the third derivative of 11*j**4\/8 - 5*j**3\/6 - 8*j**2. Let d(t) = -50*t + 7. Let z(g) = 5*d(g) + 7*i(g). Determine q(z(y)).\nAnswer: -38*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10*3\/(-60). Let q be 4550\/750*2\/60. Let k = q - m. Which is the third biggest value? (a) -1 (b) -0.4 (c) k (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = x - 20, -y - 4*y + x = 36. Let s = y + 24. What is the remainder when 77 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Suppose 2*f + n = 8. Calculate the remainder when 1 + (-4 - 0) + 8 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.81 plus 0.177379?\nAnswer: -52.632621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 239299559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 22760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(-1 + ((-2*sqrt(13) + -3 - sqrt(13)) + sqrt(13) + sqrt(13) - sqrt(13))**2).\nAnswer: 60*sqrt(13) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 less than or equal to 222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/75 (b) -1\/6 (c) 17\/9 (d) 0.0818\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 0 (c) 4\/35 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32284 != 9542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.936 minus 0.667?\nAnswer: -23.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 132*h**2 + 130*h + 405. What is s(133)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36b3219 (base 12) in base 13?\nAnswer: -22a1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055 rounded to 4 decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*m - 496 = -0*y, m = -3*y + 500. Let r = y + -163. Solve -2*n + 4*g = -12, 24 = -4*n - 0*g - r*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 7:23 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, -1011.\nAnswer: -1011, -24, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 25 = w. Let t(c) = c + 9. Let u be t(w). Suppose -u*z = -3*z - 10. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2917*h + 961590 = -2882*h. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/42 and 22\/(-165) + 7\/(-60)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70635.\nAnswer: 3, 5, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 131. Let w(a) = 4*a**2. What is w(m(u))?\nAnswer: 4*u**2 + 1048*u + 68644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5451356438 to 5 decimal places.\nAnswer: -1.54514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178160 and 18641520.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -20*k + 32. Let v(t) = 3*t - 5. Let w = -201 + 196. Determine w*o(n) - 32*v(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {c: 9, q: 4, w: 3, o: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b31 - 60b?\nAnswer: 2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, 0.4 in descending order.\nAnswer: 5, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.1 and 5227.\nAnswer: 5224.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1229448625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3085, -11851, -26455, -46891, -73153, -105235?\n\"Answer: j**3 - 2925*j**2 + 2*j - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y**3 - 90 + 2*y**3 - 67*y - 15*y**2 + 30*y**3 + 5*y**4 - 2*y**3 - 78*y = 0. Calculate y.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -131588, -263391, -395194, -526997, -658800?\n\"Answer: -131803*p + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -8. Let l = -405 - -404.8. Let x = -33\/4 - -371\/44. Which is the nearest to n? (a) 2 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -465742*o**4 + 55551*o?\nAnswer: -5588904*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7191 plus -602?\nAnswer: -600.2809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 - i + 10. Suppose -2*q - z + 24 = 4*z, 0 = 5*q - 3*z + 2. Let t(g) = g**2 - 2*g. Let j be t(q). Is k(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6))\/(1*2\/20). Suppose -2*g + 18 = -n - 3*n, 3*g - 5 = -i*n. Suppose -6*d - 2 = -g*d. Let s(r) = -2*r**2 + 2*r + 2. What is s(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899528869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*v**4 - 1132*v**2 + 261*v + 963?\nAnswer: -300*v**2 - 2264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4158\/(-330) - (-6)\/10. What is the common denominator of ((-6331)\/(-650) - 9) + 2\/r and -2\/27?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 + 78*k - 6. Let r be n(11). Suppose 4*u + 12 = 0, 0 = -83*l + 78*l - r*u + 10780. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 33*z**2 + z + 42. Give i(-33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*q - 48 + 22, -2*q - 11 = a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -914*i - 1821. Give a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8941000 rounded to the nearest 100000?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020102 + 20?\nAnswer: -11020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by 2.\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8602569?\nAnswer: 3, 955841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (148\/6)\/(14\/21). Let q = 58 - b. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 108?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (200\/(-150))\/((-4)\/18). Let i be 5 + ((-1)\/y)\/((-1)\/6). Solve p = i*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 38 = -101. Differentiate 6 - 7*j + 2 + 8 - n with respect to j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let l(s) = -125137*s**2. Give l(t(w)).\nAnswer: -125137*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*h = 26, 2*v - h = -7 + 33. Suppose 10*l + 375 = v*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19438974 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1351 + 1351.5. Let d = 2822\/47 - 60. What is the nearest to 1\/3 in 5, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 402, 403, 404?\n\"Answer: p + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:08 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3\/2. Let u = 0.4 - -0.6. Let k = 0.9 - u. What is the nearest to -0.1 in k, -2\/3, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.432 and -0.122703.\nAnswer: -0.053007696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0 - 2*l**2 - 194*l**3 + 4*l**2 + 4 - l - 5*l**2 + 203*l**3. Determine r(2).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(30\/(-9))*(-4)\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*l - 14 = -97*l. Let t be 8 + (-1)\/l*-52. What is the nearest to -2\/7 in -0.5, -0.02, t, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -61*g**4\/24 - 2*g**3\/3 - 9*g**2. What is the tens digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4185*n**2. Let d(f) = -2*f**2. Calculate a(d(m)).\nAnswer: 16740*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*b - 6*b. Let c(i) = i**3 - 3*i**2 + 3*i. Is c(b) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/8)\/((-2)\/8). Let z = 7 + r. Let h be 8\/(-12) + (-26)\/(-3). Solve h*a = z*a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 0*d + 2*d)*(2 + 1 - 2)*(-1 - 1 + 3 + (3 + 2 - 3)*(1 - 1 + 2) + 0 - 5 + 2) as h + o*d and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 11) to base 9.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 69*r**2 - 30*r - 178. Is l(-19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2448) - (sqrt(2448) + 1 + -2)) + sqrt(2448) + 1 + -2)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a decade?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*3 - 119504\/4928)\/((-2)\/(-8))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-36 - -19)) + -13 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*v - 4*p, -4*p + 49 + 71 = 5*v. Let d be 8\/v*(-45)\/(-12)*-2. What is the units digit of d*(-1 + 0) + 87?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3220\/49 + (-4)\/(-14). What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*g + 26, -3*g - 9 = -4*j + 3*j. What are the prime factors of 112\/j - 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbhhbn. Give prob of sequence ph.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1094 - 2*j**2 + 182*j - 1094.\nAnswer: -2*j**2 + 182*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*k**3 - 68*k**3 - 51*k**3 + 84*k**3.\nAnswer: -106*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/13)\/w)\/(w*(w**(-2\/7)\/w)\/w) assuming w is positive.\nAnswer: w**(40\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6}. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - -136. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/6)\/(11\/(-1617)). Let m = 516 + n. Round m to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdybjoj. What is prob of picking 1 d and 2 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 341924*r - 13906. Let j(x) = -295*x + 12. Let l(y) = 6*b(y) + 6953*j(y). Let t(u) = -18*u**2. What is t(l(s))?\nAnswer: -3011058*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9189024, 18378048, 27567072, 36756096, 45945120, 55134144?\nAnswer: 64323168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*m + c + 5, -2 = -m + c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 2. Let l(f) = f**2 - 1. Suppose -2*c - 2*j + 268 = 0, 5*c - 471 = -3*j + 209. Let n = c + -138. Calculate n*l(t) - y(t).\nAnswer: 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46556 (base 7) to base 12.\nAnswer: -6ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*j**2 - j**3 - 9*j**2 + 191703 - 192872 wrt j?\nAnswer: -3*j**2 + 76*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/36)\/(135\/(-288)*(-8)\/20)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*j - 11 = -1, 0 = 2*v - 2*j - 4. Suppose 5*d = 2*n - 982, v = 5*n - 5*d - 959 - 1466. Does 26 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - d**2 + d + 1. Let h be b(-2). Suppose 6*f - h*f - 9 = 0. Sort f, 0, -5 in descending order.\nAnswer: f, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2130010 (base 5) to base 10.\nAnswer: -36255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1 - 1 + 3*p. Let v = 91 + -66. Let m(w) = 53*w - 23*w - v*w. Calculate r(m(b)).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 4 - 38 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = j - 13, -2*w = -j + 2*j - 10. Let s be (-174)\/(-54) + j\/(-18). Sort 1, -8, s in ascending order.\nAnswer: -8, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1)\/(-3)*-21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*3\/6 + 16. Suppose 0*k + y = 3*k. Suppose -m = 5, 0 = -2*i - 5*m + 7 + k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5092101 and 1834?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwkhpkz. What is prob of sequence whp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3689761\/10243330 - -814\/5921. Let s = 2\/865 + y. Factor 0*n**2 + 0*n**3 + 0 - s*n**4 + 1\/2*n**5 + 0*n.\nAnswer: n**4*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -174 = -173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a meter in centimeters?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**4 + 20*i**3 - 28*i**2 + 12*i = 0. Calculate i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 1. Let u(n) = -2*n**2 - 7*n - 3. Let g(m) = -3*f(m) + u(m). Let v be 8\/12 - -1*(-66)\/(-9). Give g(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 1, z: 5, l: 1, m: 8, h: 2}. Give prob of sequence fm.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 100100011?\nAnswer: -100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 10 + 11. Let r = h - -22. Solve -5*q = -0*x + 2*x + 11, 5*x = -r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/18*2106\/2340 + 4 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -26824*m - 6330466. Calculate z(-236).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g - 2*g**2)*(-526 + 149 - 25).\nAnswer: 804*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let h be -2*5\/(-2)*70\/(-7). Let u = h - -57. Let o(w) = -22*w**2 + u*w**2 + 12*w**2. Calculate o(k(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 150179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h**4 - 9*h**3 + 0*h**3 + h**2 + 12*h**3 + 8*h**3 - 9*h**3 as u*h**2 + b*h + c*h**4 + o*h**3 + v and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*132\/((-90)\/15)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 11) to base 14.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 20194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 4*s. Suppose -563 = -6*j - 59. Let c be (-3)\/(270\/j - 3). Let r(o) = -4*o**2 - 13*o. Determine c*p(h) + 4*r(h).\nAnswer: -2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 5\/((-10)\/12). Suppose -3*j + 5*j - p = 0. Suppose 0 = 2*g + g - 3*x - 105, 5*g - 182 = -j*x. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.723417 grams to micrograms.\nAnswer: 9723417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 5. Let v be j(4). Suppose -22 = 2*a - 4*a. Suppose v*k + m - a - 6 = 0, -3*k + 2*m = -29. Solve -k*l = -2*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 8*w**2 + 6*w - 25. Let o be m(-9). Solve -o*a - 1 = -5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 840013592 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -4, -1, 2 in decreasing order.\nAnswer: 2, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*y + 262*y + 6042 = -7118 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 20806\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 217 = 2*p, -89*v = 4*p - 93*v - 444. Let w(m) = -m**2 + 15*m + 4. Let c be w(7). Suppose 0 = -j + c + p. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 4:06 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = x + 2*x. Suppose 8 = -x*s - 4*h, 3*s + 4*h = 2*s - 17. Suppose n - s*n = -66. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 7, n: 1}. Give prob of sequence nq.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-8)\/792)\/(44\/121)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g + 8. Let k be o(0). Suppose p = -d + 3*d + k, 2*d = -3*p + 56. Solve 3*j + v + p = 0, -3*v + 4*v = -4*j - 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -eb8 + 61c?\nAnswer: -89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g - 2*g. Let m(n) = -3*n - 17 + g*n + 18 + 0*n**2 + n**2. Let l be m(0). Solve -4*z - 4*y = -28, 2*y = 3*z - l - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1228, 1614, 1940, 2206, 2412?\nAnswer: 2558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136014 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: Which is the closest to -0.1? (a) 3\/4 (b) -2 (c) -2\/5 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124*i**2*r**4 - 17*i**2*r - 4*i**2 + i*r**4 wrt r.\nAnswer: 1488*i**2*r**2 + 12*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + 1*sqrt(11) + 2.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -132861 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (82\/(-8706838))\/((-678)\/(-36)). Let n = -144517641105361\/49269884833785 - y. Let j = n - 1\/6677. What is the common denominator of 67\/3 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 - 147*v - 128. Let h(q) = -q**2. Determine h(w(p)).\nAnswer: -p**4 + 294*p**2 - 21609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 16 = 2*g, 3*g = -5*l + 37. Let v(o) = 5*o**2 - 4*o**3 - o**2 + 3 + l*o**3. Determine v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z + 62*z = -79*z + 174. Solve -z = 4*l - 2*d, -4*l - 5*d + 15 = -9*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7916.871g?\nAnswer: 7916871000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.07 + 3.07. Which is the second smallest value? (a) 0 (b) d (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 3*u + 6. Let j be c(4). Let z(y) = -3 - 182*y**3 - 185*y**3 - 3*y**j + 3*y + 366*y**3. Give z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*38\/(988\/195)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -186, -0.14, 0.04, 4 in descending order.\nAnswer: 4, 0.04, -0.14, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 22591.7 micrometers?\nAnswer: 0.0000225917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074216\/35 != 30693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4058 = 79*n - 2162 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28992 divided by -12?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.9, 0.3, -0.1, 0.03, 25 in decreasing order.\nAnswer: 25, 0.3, 0.03, -0.1, -5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 13. Let q be u(9). Let d = 6 - 5. Suppose 0 = -w, 0*j - j - d = -w. Sort j, 2, q.\nAnswer: q, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - b - 3 = 0, -27*b + 12 = -w - 31*b. Solve n - 3*n = w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*c + 149 + 122, 2*c = -h - 275. Let g = c + 194. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-36)*(-40)\/(-15). Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*y - 42*y = -1632 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -510 divided by 1683.\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*j**3 - 3*j**2 + 2*j**2 + 40*j**3 + 1 + 3 + j in the form v + b*j**3 + i*j**2 + w*j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -27. Let o = l + -16. Suppose 5*q - o + 27 = 3*a, 5*q - 10 = -5*a. Solve a = 2*w - 6*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -813, -1856, -3227, -4920, -6929?\n\"Answer: c**3 - 170*c**2 - 540*c - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 88*s**2 + 76*s + 205. What is w(87)?\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 823*z**2 + 129*z**4 - 101 - 823*z**2 wrt z.\nAnswer: 516*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -7*k + 4*k - 100, 4*w - k + 186 = 0. Let g = -45 - w. Solve -8 = -0*m + g*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 85689?\nAnswer: 599823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -16\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 8066*a - 8062*a + 340, -4 = 4*a for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1 - 274*m**2 - 273*m**2 + 546*m**2 + 3*m. Calculate g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623001125?\nAnswer: 3, 5, 31, 149, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388774806?\nAnswer: 2, 3, 7, 971, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 235 = 2*r + 629, 3*z + 382 = 4*r. What is the tens digit of 4 - 3\/(6\/z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**3 - 177*w**2 - 173*w - 5679. Give r(-44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/3 + 16*u**3\/3 - 88*u**2\/3 + 64*u - 48 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/382 (b) 2\/11 (c) 4 (d) -160 (e) 3 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 12 = -d, 2*d = 65*t - 63*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/27092 and -53\/162552.\nAnswer: 162552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - (-13 + 5)) + 0 - 9) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(72)*4)**2 - (sqrt(72) - ((sqrt(72) + -1 + 3 - sqrt(72)) + sqrt(72))))*2.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82661 + 7604889\/92. Find the common denominator of 18\/11 and s.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 846444000 and 3000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.138 and 2.\nAnswer: -0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 2:23 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -9 - 1\/2*v**2 - v - 1\/3*v**3. Let r be y(-2). Sort 0, r, 1.\nAnswer: r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217865586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 60. Suppose 4*w = w + j*w. Let b be -1*(-5 - w - -4). Solve -4*n = 3*a + 9, -2*a - b - 12 = 5*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 15*f - 10. Let v be n(14). Let a be 6 + -1 + v + -7. Solve a = d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1364)\/(-1023))\/((-8)\/342).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -4 + 40\/36. Let r = 5\/126 - p. What is the nearest to 1\/4 in -5, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2226852 divided by 742284.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 323622259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 38513703.4 to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*n + 7, -2*k = -2*n - 0 - 6. Which is greater: 7\/3 or k?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*x**2 + 8*x**3 - 501*x**2.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2492966 to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + -663\/7. Let d(u) = u**2 - u - 40. Let x be d(-6). What is the second smallest value in 5, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 180 and 143916.76.\nAnswer: 144096.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 3*y**2 - 3*y**2 - y**3 - 6*y + 7*y. Let c(d) = 11*d. Let s(x) = 4*x. Let u(z) = 3*c(z) - 8*s(z). Calculate u(q(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 + 3505 + 6*p**2 + 1018*p - 3505 - 1018*p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 2 - 2)*(-15 + 487*k**2 + 5 + 158*k**2 + 10).\nAnswer: 2580*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**4\/6 - z**3 + 3*z**2\/2 - 272*z. Let l(t) = -5*t**2 - 13*t + 6. Suppose -4*i - 12 = -i. What is i*l(y) + 9*m(y)?\nAnswer: 2*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1002*p - 1127*p - 2396*p - 1990*p.\nAnswer: -4511*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76308 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + 1)*(3 - l - 3) - l + 0 - 4*l - 2)*(125 + 68 + 375) in the form c*l + v and give c.\nAnswer: -3408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -176 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22889 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:05 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 + 21*a**2 + 11*a + 13. Let l(g) = -g**3 - 10*g**2 - 6*g - 6. Let b(u) = -5*l(u) - 2*q(u). Let m be b(9). Let z = 15 + m. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539*o - 373*o - 867 = 455*o. Let u(i) = -i - 2. Let l be u(-2). Let g = -10 + 6. Sort l, o, g, -1.\nAnswer: g, o, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(4*t**3 - t**3 - 2*t**3) + 1116*t - 1116*t - 183*t**3.\nAnswer: -181*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b2 (base 14) to base 8.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 + 98 - 281)*(-10*q + 2*q - q) + q - 4 + 4.\nAnswer: 2494*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.3. Let u = 0.7 - 0.3. Suppose -2*x + 8 = 0, 5*x + 13 = -3*k + 39. Put k, u, l in descending order.\nAnswer: k, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -23*q**5\/120 + 9*q**4\/8 - 5*q**3\/3 + 21. Let y(z) be the third derivative of n(z). Is y(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = h. Suppose 4*r = -4 - 4. Let t(u) = -3*u - 2. Let g(z) = 13*z + 8. Give h*t(i) + r*g(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*k - 399 + 84. Solve -2*p = -11*p + k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 19*u + 35. Let j be s(17). Solve -7 = -5*z + 3*c + j, 0 = -3*z + 3*c + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5747 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*a + 54, 11 = -4*a - 1. Let n be (184\/14)\/(2\/b*3). Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -8*y + 76. Let a = -36 + 50. Suppose a*p = y*p + 200. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.49 + 60.89. Which is the nearest to -8? (a) f (b) -8 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3))**14*t\/(t*t*t**(-29)*t)*t*(t**(-19)*t*t)\/t*t*t*t assuming t is positive.\nAnswer: t**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-325)\/78)\/(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(144)*-2 - sqrt(144)) + sqrt(144)) + -5*(sqrt(144) + 2*sqrt(144)))\/(-1*sqrt(1200) + sqrt(12)*2*4).\nAnswer: 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 + 50212.36.\nAnswer: 50212.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q + 49*q + u = -13, 5*u = -25 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = z - 1, -3 = -2*z + y + 2. Let o be (z - 3)\/((-1)\/4). Solve 3*t + o*q = -0*t - 3, 0 = -4*q + 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46198 + -14687. 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 57890715?\nAnswer: 3, 5, 3859381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1369941096 and 5?\nAnswer: 1369941091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1700) + -5 - (sqrt(1700) - (-2*sqrt(1700) + 3 + sqrt(1700)))) + -1 - (6*(sqrt(1700) + sqrt(1700) + 2)*1 + -1))**2.\nAnswer: 3640*sqrt(17) + 287496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15136890 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -0.1 (c) 5 (d) 6 (e) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -337.78878566 - -0.5?\nAnswer: -337.28878566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -87*j - 5313. Determine q(-65).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) 1039 (c) -2\/5 (d) -3 (e) -2\/91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 89 = 11 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12577*w**5 - 2*w - 251.\nAnswer: 251540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 3*q + d + 14 = 0, -3*d + 26 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9799 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, 695 in descending order.\nAnswer: 695, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-8))\/(99\/57156). Are k and -865 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8e1 (base 15) to base 13\nAnswer: bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14969135 and 1757782.\nAnswer: -13211353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.013, -4\/7, -220, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*l)*(-1231*l**2 + 1013*l**2 - 1953*l**2 + 2*l**3 - 1).\nAnswer: 4*l**4 - 4342*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = r + r + 10, 0 = -5*r - 5*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.022 - -0.063108?\nAnswer: 201.085108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.104 and 2141.\nAnswer: 2142.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -55*l + 12. Let c(i) = -119*i + 26. Let m(u) = -6*c(u) + 13*z(u). Let k(f) = -3*f - 2. Give m(k(j)).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lakklwkfffkwflfafv. What is prob of picking 1 f and 1 a?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) -409\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o = 48*o - 425 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 36, 2, 3, -1, 4, 3553 in ascending order.\nAnswer: -1, 2, 3, 4, 6, 36, 3553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 923*k + 7371 = 1196*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37 - ((5 - 5) + (-12 - -5 - -12))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {l: 1, t: 2, z: 2, b: 1, h: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71734*i**2 - 143297*i**2 + 71729*i**2.\nAnswer: 166*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16233568 a multiple of 1789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/29))\/n**10*(n*n**(-2\/9))**(-43) assuming n is positive.\nAnswer: n**(-11060\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210 (base 3) to base 10.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7555 - -0.023. What is a rounded to two decimal places?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12762 - -12762.07228. Round g to 3 decimal places.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 139 (b) 4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9 + l + (-2*l + l - 15*l)*(4 + 0 - 3) in the form u + q*l and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -39. Suppose 4*y - k = -3. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916643871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 9\/5, -0.8, -3, 5.5 in decreasing order.\nAnswer: 5.5, 9\/5, -0.8, -1.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21565 + 21573. What is the remainder when 10*1\/2*3 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 490 + -3431\/7. What is the closest to -3\/35 in -3, 2\/9, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 - 107. Sort -20, o, 3.\nAnswer: -20, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6 + 9 - 15*a as o + p*a and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3535 is divided by 153.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/90*-8 - 50\/(-6). Let n(f) = 21*f**2 - 3*f. Let p(c) = 43*c**2 - 7*c. Calculate q*n(j) - 3*p(j).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18*(-1 + (-16)\/(-12)). Let o(p) be the third derivative of 1\/24*p**4 + 0*p - 1\/6*p**3 + 1\/60*p**5 - p**2 + 0 - 7\/120*p**x. What is o(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-69)*-2*(-45)\/(-35)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y + 8. Let o(k) = 7*k - 9. Determine -3*g(i) - 2*o(i).\nAnswer: 4*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2911, -27578, -95767, -229240, -449759, -779086, -1238983, -1851212?\n\"Answer: -3627*p**3 + p**2 + 719*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19080793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12888 - -4?\nAnswer: -12884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15316 + 1?\nAnswer: -15315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/16*-1 + 8)\/((-50)\/(-16))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2625*d**2. Let r(p) = 312*p. Determine r(t(l)).\nAnswer: 819000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 o when three letters picked without replacement from fvvvvfovvvvov?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 262 + -1341832?\nAnswer: -1341560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -249*t - 19. Let d(c) = -2*c**2 - 47. What is d(i(g))?\nAnswer: -124002*g**2 - 18924*g - 769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 71 = 3*s, -4*s + 3*f + 30 = -65. Calculate the remainder when 67 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j. Let q(i) = 91*i + 22. What is n(q(r))?\nAnswer: 364*r + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14*z - 221. Let g be -3*(4\/(-3) - -2). Calculate the least common multiple of (4 - 2)*(-5)\/g and d(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(1\/3)\/v)\/v))\/(v\/v**(-7))*(v**3*v)\/(v\/v**(-7)) assuming v is positive.\nAnswer: v**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277904?\nAnswer: 2, 11, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 + -3. Let o = 0 + 2. Let z = 10.8 - 14.8. Which is the smallest value? (a) m (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9374929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:51 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 2*l + 3. Let n(s) = s**2 + 6*s + 1136. Calculate -3*k(x) + n(x).\nAnswer: -2*x**2 + 1127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202563866?\nAnswer: 2, 139, 728647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 3003498?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 1111 = 107*j - 4*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*k + 6 = 0, -z + 6*z = 4*k - 10. What is the common denominator of 1 - (-1 - (-34)\/4) and (-1)\/z*-7*115\/(-253)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -82, -240, -554, -1078, -1866, -2972, -4450?\nAnswer: -6354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 14*n - 77. Solve 5*u + n = 12*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14145060?\nAnswer: 2, 3, 5, 235751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/27200 and 71\/2235.\nAnswer: 12158400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544 + 4487 + 3645 = -244*y, 0 = -3*k - 2*y - 69 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:19 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 10:20 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2170 and 8\/2387?\nAnswer: 23870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*sqrt(343).\nAnswer: -7*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/14050 and 139\/350.\nAnswer: 98350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/193 at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 - 343 = -4*h. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*m - 5117, m - 1 = -5. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-4\/11))\/(w**(1\/2)*w*w))\/((w*w*w**(-2\/13))\/w**(-4\/3)))\/((w\/(w**(2\/3)\/w))\/w**(3\/4)*((w*(w\/w**4)\/w*w)\/w)\/((w**8*w)\/w)) assuming w is positive.\nAnswer: w**(10469\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.884902 nanometers in micrometers?\nAnswer: 0.001884902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 14 (b) -2\/11 (c) 4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -150 + -26?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000067869 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 379 = -o, 0 = -4*y - o + 2*o + 296. Let d = y + -47. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1066\/1477 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*d = -55*d - 5*s - 14756, -5*d = -4*s - 18445. What are the prime factors of d?\nAnswer: 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 944 = -d - 11*d + 668 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -9*l - 5. Let k(t) = 3*t**2 - 4*t - 3. Let i(u) = -6*u**2 + 9*u + 7. Let g(v) = l*k(v) - 3*i(v). Suppose g(s) = 0. What is s?\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**4 + s**3 + s**2 - s. Let q(u) = 8*u**5 + 12*u**4 + 12*u**3 + 12*u**2 - 22*u. Let p(l) = q(l) - 12*v(l). Find the second derivative of p(o) wrt o.\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3675739.\nAnswer: 3675739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 10*q. Let x be v(10). Suppose x*s = 3*s - 3, 5*s - 1251 = -2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -57, -82?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2093 and 1?\nAnswer: -2093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 9*f**2 - 3*f + 12. List the prime factors of d(8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = 2*k, -2*k + 6 + 4 = -3*s. Let o(t) = s*t + t**2 - 2 + 8 + 7*t. Suppose -85*r - 28 = -78*r. Calculate o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5266030787?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 2) to base 14.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2, -16, -1.\nAnswer: -16, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.623 - 1.721. Which is the third smallest value? (a) 1\/4 (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12104 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22823041.\nAnswer: 197, 115853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8036349, 8036333, 8036307, 8036271, 8036225, 8036169, 8036103?\nAnswer: 8036027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.25 - 5.15. Let z = 69 - 487\/7. Let m(v) = -v - 1. Let c be m(-2). What is the third smallest value in c, -3, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 94*v - 53*v + 1 - 55*v + 15*v**2 + v**3 + 13. Give t(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1454*u - 331163 - 472438 = -6054*u - 2413*u for u.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.780543642 to three decimal places.\nAnswer: -0.781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 9. Suppose i = -3*s - 7, -u - 5*s = 7. Suppose -f - 53 = -2*p - 12, p + 2*f - u = 0. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022697886?\nAnswer: 2, 7, 1301, 56149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 1037*z**2\/2 - 2129*z - 1102. What is the derivative of s(w) wrt w?\nAnswer: 1037","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 - 9*q - 52. Let w be v(-5). Calculate the greatest common divisor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15418911 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 - 2) + (691 - 671)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 7*p**2 + 7*p + 4. Suppose -2*a + 0*a = -10. Let c be 1\/a - (-21)\/(-5). Is d(c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -6, -27, -62, -117, -198?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -1. Suppose -84 = -3*s + 2*s + j, -o*j = 2*s - 198. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199268 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(f\/(f\/(f*f**(-6)*f)))\/f*f*f**1*f**(1\/4)*f**(-8) assuming f is positive.\nAnswer: f**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 657704 >= 657680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*l = 57, 2219934*m = 2219930*m + 2*l - 48 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 11*v**2 + 3*v - 13. Let g be s(-12). Suppose 2*o + 2*f - 86 = o, -o = -f - g. Let i = -39 + o. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2159353 times -5\nAnswer: -10796765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56474633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {d: 7, c: 5, f: 1, r: 5}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 3*m**5\/20 - m**3\/2 - 8*m. Determine j, given that l(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 3*z - 1. Let t(r) = r**3 - 99*r**2 + 16*r - 1581. Calculate the remainder when t(99) is divided by x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8579, 17137, 25699, 34265, 42835?\n\"Answer: 2*m**2 + 8552*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -a + 44561, 3*q + 17686 = -2*a + 44417. List the prime factors of q.\nAnswer: 3, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Find the third derivative of 4*s**3 + 3 - s**2 - 5 + p wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41 - ((17 - -28) + -16)) + -21\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, 1.1, -15185, 2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:11 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -45. Suppose -904 + r = -8*n. What are the prime factors of n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -265 by -53.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:36 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16627701*b**2 - 106*b**3 - 412*b**3 - 16627701*b**2 + 2652*b**3.\nAnswer: 2134*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*o = 322*o - 435*o + 3712 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208001 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1645400*i**4*t**3 + 6*i**4*t**2 + 2*i**2*t + 2*i**2 + 10*i*t + 2887*t**3 + 8 wrt i?\nAnswer: 39489600*i*t**3 + 144*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4075 + -4074.9. Which is the fourth smallest value? (a) -4 (b) s (c) -2\/3 (d) -5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141*f**2 - 141*f**2 + 131*f**3)*(4*f - 2*f + f) + f - 3*f**4 + 6*f**4 - f**4.\nAnswer: 395*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*y. Let b be (-4)\/20 - 62\/(-10). Solve 3*v - b*v + 3 = y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1120877543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153348905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 57*b + 58*b - 15 = 0, -2*v + 33 = b. Let q(l) = -l**3 + 5*l**2 + 4*l + 1. Calculate the remainder when q(5) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0*b*b**(1\/5)*b)\/(b**0)**(-27) assuming b is positive.\nAnswer: b**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -147 - 99?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1307 + -2?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + 6*g)*(58 - 58 - 31*g) - 3*g**2 + g**2 - 6*g**2.\nAnswer: -132*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 + 0)*((-140)\/24)\/35. Solve -13 = -5*t + u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w**2 - 2*w**4 + 7*w**2 + (4 - 4 - 3*w)*(-w**3 + 0*w**3 - w**3) to the form k + p*w + h*w**2 + f*w**4 + v*w**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) -4 (b) -2 (c) 5 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**2 - 46*a + 46*a + 0*a**2 + 0*a**2 - 2*a**2 + (3*a**2 - 5*a**2 + 0*a**2)*(1 + 3 + 0).\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -133*y**2 - 1. Let w(i) = 3*i**2. Give x(w(h)).\nAnswer: -1197*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hixsuxi. What is prob of picking 2 i and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17 - 2*f**2 - 1764*f**6 + 0*f**3 + 2466*f**6 - 3*f**3 + 3*f**3 wrt f.\nAnswer: 84240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*1*sqrt(156) + sqrt(156) - -6*-1*sqrt(156)))\/(sqrt(132)\/(sqrt(33)\/sqrt(3)) - (sqrt(108)*-1)\/sqrt(9)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2 + 24*j**4 - 23*j**4 - 3 + j**2 - j**3. Let c(h) = -14*h**4 - h**3 + 10*h**2 + 3*h + 2. Let v(q) = c(q) + 2*w(q). Let v(p) = 0. Calculate p.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 570b - 3?\nAnswer: 5708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 180927 minus -793?\nAnswer: 181720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010100 + 100?\nAnswer: -11010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -164, -249, -336, -425, -516?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (35\/(-1))\/(-7) + (-249450)\/49830 and -54\/7.\nAnswer: 11627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 149. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 57523467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(6\/7))\/((d**(-5)\/d)\/d))\/(d**(-7\/2)*d*((d\/(d*d*d**(2\/5)\/d))\/d)\/d) assuming d is positive.\nAnswer: d**(843\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 81, 126?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001344 rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 106*f - 20. Let v be u(10). Let d be (-6)\/(-4)*v\/30. Suppose 0 = 2*n + d - 168. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -2.3. Suppose -4*t = -3*b - 3 - 1, t = b. Suppose w - 12 = -3*q, t*w - 9 = 3*w - 2*q. What is the closest to 0.2 in p, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 105240*w + 692216100 = 0. Calculate w.\nAnswer: 13155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*r**2 + 55*a - 894*r**3 - 275 wrt r.\nAnswer: 2*a*r - 2682*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 6416*o + 51498. What is v(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/18976102 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36367423 and 3.\nAnswer: -109102269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**3 + 21*k**3 - 7*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1533 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (2 + (5 - -1) - (-245 + 249))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70\/11? (a) 4\/5 (b) 4 (c) 1\/2 (d) 17\/3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 231728, 231737, 231746, 231755?\n\"Answer: 9*r + 231719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837704.\nAnswer: 2, 7, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53473301, -106946603, -160419905, -213893207, -267366509?\nAnswer: -320839811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:28 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0*t + 0 + 151*t**2 + 1\/12*t**4 + 0*t**3. Let g(p) = -1 + 1 - 4*p. Determine u(g(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**8\/7 - 7*a**4\/12 + 2*a + 7. Let w(o) be the first derivative of b(o). What is the third derivative of w(l) wrt l?\nAnswer: 960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - ((-12177)\/21)\/3. Let x = 189 - s. Sort -0.2, x, 0 in decreasing order.\nAnswer: 0, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-32)*(-8976)\/3927\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:15 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 2, -12, -26, -40, -54?\n\"Answer: -14*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/2 - 75*n**3 + 3497*n**2\/2 - 10824*n = 0.\nAnswer: 0, 11, 16, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Calculate the smallest common multiple of v and 4\/4 - (0 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -25. Let m(u) = -3*u - 3. Let l(k) = -k**2 - 5*k - 5. Give h*l(t) + 5*m(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/87? (a) -2\/11 (b) -3 (c) -85977\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-504))\/((-131)\/5109)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -33. Solve 4*f - g - 3 = -0, -4*f - 4*g + 28 = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine sixteenths of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1260 and 18864?\nAnswer: 660240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*3\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 16 in decreasing order.\nAnswer: 16, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwccccww.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*d**5 - 57*d**4 + 2*d**3 - 1941*d**2 + 1.\nAnswer: -480*d**2 - 1368*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a - 52*a - 18 = l, -80 = 3*a + 5*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18829386893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -4*w + u, 3*w - 153 = -4*u + 2*u. Let q = w - 49. Solve 4*k + 2*p + 0 = q, 0 = -3*k - p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 224584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393 and 5?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -43, -63, -83, -103, -123?\n\"Answer: -20*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 3:00 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 6*1*1. Let x = o - 3. What are the prime factors of (-16)\/(-6) + x\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1056 + 1073. Solve -14 = -4*x - q + 1, 3*x - 5*q = m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 504 - 1454. Let z = -949.9999613 - u. Round z to 6 decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = -0*f. Suppose -5*l + 41 - 6 = f*z, 5*z - 29 = -2*l. Suppose 0*i + 6 = l*i. Solve -1 - i = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 62 = 5*n - 75, 3*n + 5 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 43 = 23. Suppose -l - p*l = 0. Solve l = -0*r - r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.1, -1.15523, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 655 = 574 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32914913 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 73*j**2 + 139*j - 199. Let x be o(-71). Let y(g) = -g**3 + 14*g**2 - 3*g + 36. What is y(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9 - 22\/(-6). Let m be 2*(-3)\/(-6) - -3. Suppose m*a - 23 = -7. Is g <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -484 - -527. Solve 2 = 9*m - s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = 8. Let s = -7 + n. Let d be (0 - 0) + s - -2. Solve -2 = w - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, s: 1, x: 3, h: 2}. Give prob of picking 1 s and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550*x**3 - 3*x + 1111*x**3 - 562*x**3 + 3*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {w: 1, m: 1, n: 1, b: 1, i: 1, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1896550 to the nearest 10000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 243 = -3*d - 127, -2*l + 731 = -3*d. Let s = l - -678. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 2813 + 996 = 0. Suppose 0*n + n = -q. What are the prime factors of n\/(4 - (5 - 0))?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*b*j**2*l*o**2 + 8*b*j*l*o**2 + b*j - 3*j**2 - 3*j*l*o + 87*j wrt o.\nAnswer: 238*b*j**2*l + 16*b*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-70)\/(-7))\/(-5))\/((-4)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2375927002?\nAnswer: 2, 23, 1607, 32141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/3833 - 95817\/15332. Which is greater: -7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689851 is divided by 53041.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 17 - 2 = f, 2*f + 35 = -j. Let l be (f - -1)*(-5)\/30. Is l bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**3 + 3*d**2 + 186*d + 5. Let s(p) = -3*p**3 - 2*p**2 - 92*p - 2. What is -2*n(f) - 5*s(f)?\nAnswer: f**3 + 4*f**2 + 88*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -79, -128, -175?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*3 - (-4 - -1). Let n(y) = -4 + 2*y + y**2 - y**2 + y**2. What is the tens digit of n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -377669, -377674, -377679, -377684?\n\"Answer: -5*q - 377664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/87964 + -318077817\/615748. Let l = -432705\/4 - -107657. Let m = l - h. Find the common denominator of 19\/8 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.0132816598.\nAnswer: -0.4132816598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151114, 151091, 151076, 151075, 151094, 151139, 151216?\nAnswer: 151331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*h + 10007 + 223 = 0 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5461430 and 21586.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 3, j: 2, e: 1, d: 6}. What is prob of picking 1 y and 1 d?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b**3 - 121*b**2 - 2110*b - 31449. Determine g(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1300) + -2*sqrt(1300)*-1)*2*2*4)**2.\nAnswer: 47923200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -119\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**3 + 2*x**2 + 6*x - 4. Let t(y) = -5*y**3 - y**2 - 9*y + 3. Give -3*k(c) - 4*t(c).\nAnswer: -4*c**3 - 2*c**2 + 18*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/11 - 1904*h**3\/11 - 1374*h**2 - 9340*h\/11 + 94400\/11 = 0 for h.\nAnswer: -944, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9182624.\nAnswer: 2, 11, 19, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 2*h + 6. Let b(t) = -17 + 2*t**2 + 0*t**2 + 7*t - 10*t**2 - 12*t. Calculate -4*b(a) - 11*x(a).\nAnswer: -a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-35))\/(-3 + (-58)\/(-20)). Suppose 0 = 5*j - q*j - y - 175, -j + 3*y = -185. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136688 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 8*y - 409. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(-3 - 1). What are the prime factors of t\/5 + (-57)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + -235?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 4*f**2 + 9. Let d be n(-3). Solve 2*k - 7 = 3*r, d = 2*k - 2*r + 5*r - 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-253 - -248) + (0 - -2 - 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, k: 2, m: 2, w: 2}. Give prob of picking 3 v and 1 k.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32574.\nAnswer: 2, 3, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/102*(70\/(-4))\/(-7).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 834 + 624. List the prime factors of -2 - (0 - z) - -6.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -159, -547, -1309, -2571, -4459, -7099?\n\"Answer: -21*n**3 + 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21799 is divided by 20072?\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*s**2 + 160*s - 48.\nAnswer: 4*(s + 6)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(275) - (2*-2*sqrt(11) - sqrt(11))) + (-3*sqrt(88)*-1)\/(sqrt(24)\/sqrt(3)*-4).\nAnswer: 37*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/319, 30638, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1330058)\/(-18) - (385\/(-99) + 4). Let j = -41289 + o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 15721159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/180 + 97*h**5\/180 + 50*h**4\/3 + 32*h**3 + 38*h**2 + 2. Determine o, given that v(o) = 0.\nAnswer: -24, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**3 + 12*g**2 + 8*g + 3. Let f(b) = b**3 + 3*b**2 + 2*b + 1. Let c(x) = -9*f(x) + 2*l(x). Let n = -4 - -1. Calculate c(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -54.321.\nAnswer: 162.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**3\/7 - 1866*l**2\/7 + 46941*l\/7 + 408204 = 0.\nAnswer: -644, -29, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17156, -17201, -17244, -17285, -17324?\nAnswer: -17361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*q + 22*q + 64*q + 28*q + 54*q.\nAnswer: 352*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -5 - (3 - (3 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j - 2*j**2 - 1\/2*j**3 + 0. Let p(l) = 1 - 4 - 10*l - 10 + 0. Determine -2*p(w) + 7*u(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -1, -14, -37, -70, -113, -166?\n\"Answer: -5*x**2 + 12*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 7\/(182\/(-332293)))*4\/(-6)?\nAnswer: 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.66 (c) 59 (d) 0.3 (e) 5 (f) 1 (g) 171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(4\/(-1)) + 2)\/3. Let c(o) be the second derivative of 0 - 1\/3*o**3 + 1\/12*o**4 - 3*o + x*o**2. Factor c(h).\nAnswer: h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((0 - 1) + 16)*7. Suppose 4261 = 12*j + 121. Suppose 10*d + 13*d - j = 0. Calculate the greatest common divisor of h and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 31*t - 2. Let x(b) = 11*b - 1. Let w(c) = -3*i(c) + 8*x(c). Let q(v) = -v**2. What is q(w(u))?\nAnswer: -25*u**2 - 20*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 3*p - 1. Let i(b) = -2*b**3 + 114*b**2 - 3*b + 1. Calculate -2*i(u) - 2*w(u).\nAnswer: 6*u**3 - 228*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Suppose -18 = -c*h + 2*d, 23 = 2*h - 5*d + 2. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3088 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 226*g - 48251. Give h(210).\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*w + 10*w + 26, 3*s - 14 = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/65 in 0, -106, -1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/2 + 81*z**3 + 5117*z**2\/2 - 8754*z - 11232 = 0 for z.\nAnswer: -117, -48, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159536*-0.4.\nAnswer: -63814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*z - 6, -2*s = -4*s + 3*z + 12. Suppose f = -5*d - 24, -4*d - 6 - s = -f. Which is the third biggest value? (a) -2\/13 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r - 6. Suppose -r = -c - 0. Suppose -2 = -4*h + c*h. Solve -u - 3*u = 5*d + 16, -h*u = -2*d + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 16 = -35*x + 32*x, d + 5*x = -24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 + 6*v - 9. What is u(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21612*t**4 + 7*t**2 + 12378*t + 6 wrt t.\nAnswer: -259344*t**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q + 6 = 0. Solve n + l = 3*n + 8, 4*n + q*l + 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10303 - 333?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.086 and -120.\nAnswer: -120.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2378029 is divided by 263.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360)*-2 - sqrt(360)) + 2*((sqrt(640) - sqrt(10)) + sqrt(10) - sqrt(10)))\/((sqrt(240)\/sqrt(4)*-5)\/(sqrt(12) - -2*sqrt(192))))**2.\nAnswer: 2592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2532*c + 94088 = 49*c - 2469*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 19*s**3\/3 - 9*s**2\/2 - 23. Find the second derivative of v(q) wrt q.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*d - 13*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-603 + 84 + 95)*(0*f - f - 7*f) as g + k*f and give k.\nAnswer: 3392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 2, h: 6, d: 5, x: 2}. What is prob of sequence axph?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ddea (base 16) in base 13?\nAnswer: 1cb20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-128)\/7 - 2\/(-7). Let g be (-5)\/((-8)\/(-112)*-1). Find the common denominator of -47\/8 and (-7)\/x*(-15)\/g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.37 + -0.07. Which is the third smallest value? (a) -1\/5 (b) 13 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24950 and 1800.\nAnswer: 898200","meta":{"dup_signals":{},"source":"numbers__lcm_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: Find the third derivative of 238497*a**3 - 5*a**2 + a - 2590.\nAnswer: 1430982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b**2 - 6*b + 6. Let k be j(6). What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4) + 6 + 54\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 4*b + 9*b)*(-2*b + 2*b - 2*b**2 + (-3*b**2 + 6*b**2 + 2*b**2)*(-1 + 1 + 1)).\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(0 + 1 - 2)*(4 - 3 - 3)*(v - 5*v - 7*v).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, -48, -5, 4 in decreasing order.\nAnswer: 4, -5, -48, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5636248.66 to the nearest 1000.\nAnswer: 5636000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 75 (b) 3 (c) 0.1 (d) -5 (e) -4 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/5592 and 121\/243570744.\nAnswer: 243570744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 7*c - 7560. Suppose -5*g = g - c. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6514 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 34 = -29. Let c(n) = 52*n - 2. Let s be c(-2). What is the lowest common multiple of s\/(-10) + (-2)\/(-5) and w?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*b - b, 4*o = b + 8. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484913092 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -31, 2\/13, -5, 7.1913?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5249777362676956125 + 5249777409657938924.99999817. Let y = -46980983016 + o. Let m = y - -216. Round m to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = 26*u - 39*u - 26. Factor 1\/2*n**u + 1\/8*n**3 + 0 + 1\/2*n.\nAnswer: n*(n + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*m - 150432 = -350*m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 49*z. Let p(w) = -30*w + 4157. Give p(i(x)).\nAnswer: 60*x**2 + 1470*x + 4157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2756440 by 548.\nAnswer: -5030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -25. Let p = g + 2. Calculate the smallest common multiple of (4\/6)\/(4\/42) and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8183 times -6?\nAnswer: 4.9098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55\/24 - 5\/8. Let j = -13856063\/22 - -629040. Let p = 781 + j. Find the common denominator of s and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w - 29*w - 22*w = -2494. Which is bigger: 598\/21 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1522666015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + ((-2*sqrt(80)*2)\/sqrt(8))\/((sqrt(50) + 6*sqrt(100)\/sqrt(2))\/sqrt(10)) + -2)**2.\nAnswer: 40*sqrt(2)\/7 + 1257\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84767 and 74?\nAnswer: 169534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 174 = -26. Let d(t) = 5*t - 41. Let c be d(9). Suppose 2*j = -0*j - q + 19, c*q = -5*j + s. Calculate the remainder when 35 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(18)) - (sqrt(2178) + 1) - (((1*sqrt(168))\/sqrt(12))\/(sqrt(343)*-1))**2.\nAnswer: -42*sqrt(2) + 96\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -523 + 520. What is the nearest to 1\/38 in -0.5, -2\/9, 2, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00328167282 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*u + 10, -u + 18 = 2*i + 3*i. Let g(n) = 2*n - 4. Let z(k) = -1 - 7 + 6*k - 3. Let q be (-2)\/(-4) + 7\/(-2). Determine q*z(r) + u*g(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -759, -735, -733, -765, -843?\n\"Answer: -2*l**3 + l**2 + 35*l - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -8 + (-384)\/(-39). Let r = 3 + -8. Put w, r, -4\/3 in decreasing order.\nAnswer: w, -4\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmojmoojjjm. What is prob of sequence mom?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:13 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 13*c + 6. Let f be (10 + -1)\/(-5 + 6). Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -18\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w - 143 = 45. Let u be ((-77)\/22)\/(2\/(-8)). What is the greatest common divisor of w and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61629156.\nAnswer: 2, 3, 1711921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*w - 11. Suppose -w*q + 2 = -5*o + 7, 0 = 3*o - 3*q - 6. Let s be 3 - 1\/(o - -2). Let x(t) = -t**3 + 4*t**2 - 2*t + 4. Determine x(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2576879 + -0.3046002.\nAnswer: -2576879.3046002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(9\/4))\/n)\/n*n**(-2\/3) assuming n is positive.\nAnswer: n**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/80 and -41\/21296.\nAnswer: 106480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 70826?\nAnswer: -70826.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 7\/5, 4, -2\/3, -5, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -12)*(-3 - -8). Let o be (-201)\/(-39) + 10\/w. Sort -2, o, 1 in decreasing order.\nAnswer: o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(4\/(-1160)*-4). Suppose 0 = 4*v - 5*a + 956, -2*v - a = 2*v + 980. Let x = y - v. Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Suppose -2*x + 34 = 2*r, -2*x - r + 11 = -18. Let z = -17 + x. Sort -4, z, v in increasing order.\nAnswer: z, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/11 - 6\/(-33). Let v be k*(1 - 2) - -4. Find the third derivative of -3*o**3 - 3*o**2 + 0*o**3 + 3*o**3 + v*o**3 wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f + 1. Let b be k(4). Let m be (14\/b)\/((-1)\/30). Let l = 13 - m. Do -2\/29 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 2, t: 1, f: 4, r: 3, h: 2}. What is prob of sequence jch?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1003584512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -63927639 - 519\nAnswer: -63928158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1402, -3747, -10114, -22513, -42954, -73447?\n\"Answer: -335*f**3 - f**2 + 3*f - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -2 + 4 + 0. Suppose 2*p - 66 + 0 = u. Suppose 3*s + 2*s = -v - 6, -5*s - p = -2*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85824855127*g**2 + 42912427563*g**2 + 42912427564*g**2 - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55243195 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 8*q - 4. Let p(f) = f**3 - 6*f**2 - 6*f + 10. Let l = 15 + -8. Calculate the remainder when p(l) is divided by t(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17889, 35803, 53755, 71751, 89797, 107899, 126063, 144295?\nAnswer: 162601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.01362 rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 2*c + 24. Suppose c - 18 = 3*a. Calculate the highest common factor of a and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5124801 and 11207.\nAnswer: 35873607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence begs when four letters picked without replacement from blsgebgs.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n - 18. Let i(t) = 9*t - 33. Determine 3*i(l) - 5*w(l).\nAnswer: 2*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12221503, 12221501, 12221497, 12221491?\nAnswer: 12221483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20163.\nAnswer: 3, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11208207 rounded to 3 decimal places?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 5, r: 2, n: 3, e: 3}. Give prob of sequence ez.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01 or -295115315?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -511, -1117, -1963, -3049, -4375?\nAnswer: -5941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 25, -3, -1 in decreasing order.\nAnswer: 25, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2)*(-120)\/(-18). Suppose d = -2*t - 3*u - 2*u, -t - 7 = 3*u. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -705 (base 11) to base 13\nAnswer: -507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + 267\/(-518). Let l = -610\/5957 - j. Let k = 2.11 + -0.11. Sort k, 3, l in descending order.\nAnswer: 3, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**6\/80 - o**5\/60 - o**4\/6 - 3*o. Let j(p) be the third derivative of n(p). Is j(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (0 + -6) - -4 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1.01, -3, -2.2006, 1, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 215?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4 + 5*y + 3 + (3*y + 0 + 0)*(5 - 1 - 2).\nAnswer: 11*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 3*n - 42. Let s(d) = d**3 + 2*d**2 + d + 5. Let q be s(-3). Is 10 a factor of u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3 - 1. Suppose -2 - j = -2*c - 2*m, 0 = 3*m. What is the tens digit of 10*c\/6*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5239, 19344, 42853, 75766, 118083, 169804?\nAnswer: 230929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**23*c\/(c\/c**(-1\/18))*(c**(2\/9))**38)**(-1\/98) assuming c is positive.\nAnswer: c**(-565\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4381, -4507, -4633?\n\"Answer: -126*l - 4255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + 0.13. Let o = 0.09 - g. Let h = 5.7 + -0.7. Which is the closest to 1? (a) h (b) o (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5497 is divided by 323?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 461 and 4085695019?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 11) in base 3?\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1472 = -18*v - 1490 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-f + 4*f - f) - 17*f + 5 - 5 as m*f + x and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 16*t - 46. Determine l(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*p + 109*p + 57*p + 50*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5491*f + 2544 = 5495*f. Calculate the remainder when f is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/233 at most as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 8 - -6 - (1 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from dxdfkbgfxgfdfffffx.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14395159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) + sqrt(76) + 1 + sqrt(76) + 5)) - sqrt(76) - (-4 + 1*sqrt(76)) - (-5 + (sqrt(95) + sqrt(95)*-1)\/sqrt(5)*-4))**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2.274\nAnswer: -2.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + x = -7*u - 911, -5*x = 3*u - 666. What are the prime factors of u?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -15. Let r = s + -3. What is the common denominator of 15\/2 - (-2)\/r and -7\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 4*y**2 - 3*y**2 + (-295*y + 298*y - 1 + 14)*(-11*y - 1 - 5*y + 5*y).\nAnswer: -35*y**2 - 146*y - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -346 + 353. Let c(a) = a + 6. Let q be c(-8). Put 1, h, q in increasing order.\nAnswer: q, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9613042597 + 0.9613. Round f to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30765 is divided by 671?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 461 + -483.3. Let x = a - -22. Let k = -133 - -1061\/8. Put k, x, -2 in increasing order.\nAnswer: -2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1252*s - 4 + 175*s**4 - 2238114*s**3 + 2238117*s**3 + 6 wrt s?\nAnswer: 2100*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 72. Suppose 3*d + 3*r + 12 = 0, 0*r - r = 4. Solve d = f + f + z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 81318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from jswasaasxwsawxsxcx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u**2. Let s(p) = 1. Let d(l) = -3*l + 1. Let w(a) = -d(a) + s(a). Calculate h(w(f)).\nAnswer: 99*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10161 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244 + -102. Let x = d + 313. Sort -3\/2, 2, x, 1\/6 in decreasing order.\nAnswer: 2, 1\/6, -3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557081 is divided by 557072.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -7)\/((-1)\/(-5)). What is the closest to -0.1 in u, 5\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 30023132312?\nAnswer: -30023132320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4\/3 + 602588*h**3\/3 + 20172771520*h**2 + 2025911096603648*h\/3 - 4052064271286272\/3 = 0?\nAnswer: -100432, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 796 and 95719?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2501.31 + -2501. What is the closest to -1 in 2, p, -2\/5, 1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 9:17 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667192 is divided by 333592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.4 take away -0.4?\nAnswer: 80.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(47\/(-799))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h + 40 = 168 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2 - 32980*s + 54384020 = 0. What is s?\nAnswer: 3298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let p(s) = -8*s + 6. Let u(i) = -p(i) - 4*r(i). Determine u(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 2\/3*a**3 + 3\/2*a**2 + 19*a + 1\/12*a**4 + 0. Give u(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.7032, 1\/24, -2\/3, 0.1 in ascending order.\nAnswer: -2\/3, 1\/24, 0.1, 7.7032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - h - h)*(-7 - 6 + 2) + 3*h - 4*h - 2*h + 2*h - 3*h - h.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*z - 39, -4*q = 8*z - 4*z - 108. Let k(m) = -20*m**3 + 15*m + 15. Let l(i) = -3*i**3 + 2*i + 2. What is q*l(o) - 4*k(o)?\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -21. Let q be -2*2*5\/f. What is the closest to -0.1 in 5, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5780.1 - -5780. Put -2\/5, g, 1, 0.03, 7 in descending order.\nAnswer: 7, 1, 0.03, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6454809?\nAnswer: 3, 101, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-54))\/(406*(-21)\/(-2646)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37912 + -50362\nAnswer: -12450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 - 2*d - 2. Let k(t) = t**2 - t. Let r(a) = 4*k(a) + z(a). Let u be r(-4). Solve i - 3*i + u = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/1 - -1*23 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -10*h + 21*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.767*52\nAnswer: 195.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**5\/20 + c**3\/6 + c**2\/2 + 2*c. Let a be k(0). Suppose 4*j - 2*g = 2, 4*g - 35 = -4*j - 3. Solve -4 = j*h - a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Suppose 4*k - 24 = 5*t - 8, -k + 4 = 0. Let l(o) = -9*o + t*o - 3*o + 2*o. Determine l(y(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/22356 and -67\/1127034.\nAnswer: 51843564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/84*-54)\/(9\/6))\/(-13).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*c = 4*c - 117, 63 = 3*z + 3*c. Calculate the lowest common multiple of z and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -2*f**7\/21 - 5*f**3\/6 + 7*f. What is the second derivative of w(j) wrt j?\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 6:23 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q - 3*q + 0*q)*(2 - 1 + 1) + (-1 + 4 + 0)*(5*q - q - 3*q) in the form u*q + h and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 501?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 2*h + 0*h)*(-8 - 8 + 2)*(-1 + 4 - 4)*(548*h - 4 + 546*h - 1113*h) as b + l*h + m*h**2 and give l.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - 1. Let i = 4 - v. Solve 0 = -2*y + s - 7, -3*y - s + 5*s = i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*86.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1307 - -0.3693. Sort 2\/5, -0.1, -3, w in descending order.\nAnswer: w, 2\/5, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -60 + 233*o - 14*o - 12*o + 121 - 62. Let t(b) = -b. Determine z(t(a)).\nAnswer: -207*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.023 - -0.477. What is the biggest value in -1, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -2*q + 5. Let n = 38 - q. Solve 3*j = -n*a + 4 - 14, -5*j + a = 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53792 and 885536.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/120 + y**5\/12 - y**4\/24 - 4*y**2. Let x be g(4). Solve -3*i + x = -0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1038 and -55\/4.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*o - 8, 26 - 9 = o - 5*k. Suppose -o*t + 6*t = 12. Solve 12 = 3*w - 2*q, 0 = t*w - w - 5*q - 19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2852, 3655, 4466, 5285, 6112, 6947, 7790?\nAnswer: 8641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlvpppjjhxllvxxxpx. What is prob of picking 1 v and 2 x?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (79 - (31 - -61)) + 51\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1634.9658 to the nearest integer.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (232\/87)\/((-6)\/(-27)*3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2604, -1, -3, -1\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**5\/60 + s**4\/8 - 7*s**3\/6 - 3*s**2. Is 7 a factor of r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 947145069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3554133 to the nearest integer?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9244927 and -1.\nAnswer: 0.9244927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/5425 and 79\/45570.\nAnswer: 227850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -2012.\nAnswer: 402.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2. Let o(k) = -27*k**2 - 31. What is o(z(v))?\nAnswer: -675*v**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29156974 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 616213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 568*y**2 - 22 - 23 - 29 + 74 - 256*y wrt y.\nAnswer: 1136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 8, 5, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)\/(o\/(o\/(o**(-2)\/o*o)*o))*o**(3\/2)\/o*o*o\/o**(4\/5)*o*o assuming o is positive.\nAnswer: o**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*a - 2*a**2 + 77*a + 3 - a**2)*(-7*a + 2*a + 0*a).\nAnswer: 15*a**3 - 5*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88844 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -571653644356 - -571653159187.0342777. Let u = 485169 + q. Let z = u - 0.0343. Round z to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**6\/10 - 3*t**5\/2 - 8*t**4 - 16*t**3 + 2*t + 57. Factor g(a).\nAnswer: -3*a*(a + 2)*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 15*c + 72 = -o, -35*o = -8*c - 225 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-1))\/(-2 - -1). Let h be 56\/1 + (4 - 4). Let u be h*(6\/8 - x). Calculate the highest common divisor of u and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6120 divided by 170\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -61*m**7\/7 - m**6\/6 - m**5\/5 - 12256*m**3\/3 + 12315. What is the third derivative of l(d) wrt d?\nAnswer: -7320*d**3 - 60*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4222 at least as big as -129101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1158*v**3 - 5*v**2 - 9*v - 10. Let z(j) = 1156*j**3 - 6*j**2 - 11*j - 12. Calculate -6*u(y) + 5*z(y).\nAnswer: -1168*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.24 - -0.24. Sort 14, -2, o in descending order.\nAnswer: 14, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/7 - 79*h\/7 + 370\/7 = 0. Calculate h.\nAnswer: 5, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 528469155002\nAnswer: -528469154997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -991 - -bc0?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/156 + 49860\/52. Let m = h + -957. Calculate the remainder when 87 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2 - u - 2. Let r be w(4). Let a be (-4)\/10*-255*22\/33. What is the greatest common factor of r and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4303010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9. Suppose 6 = -2*j - o, -3*j = -5*y + 1474. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 6. Let i(y) = -y**3 - 7*y**2 + 10*y + 10. Let z be i(-8). Let x be c(z). Find the second derivative of -2*f**2 + f**2 + x*f + f - 4*f wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2723 - 178. Let v = -1378 - j. What are the prime factors of v?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/(sqrt(3)*1) + sqrt(1377)*2)*3)**2.\nAnswer: 55233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 12599203?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 8*w. Find the third derivative of -3*h - 3*h**2 + w*h + 3*h - 6*h**5 wrt h.\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-354)\/(-6)*((-20)\/28 + 1). Let v = k - 382\/21. Let u be ((-1)\/(1\/(-2)))\/1. Put v, u, 4 in decreasing order.\nAnswer: 4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/14)\/(219\/(-1022)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13904261 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 9*j**2 + 3. Let l be x(9). Let w be (-13)\/(-20) + 2\/(-8). What is the closest to w in 0.4, l, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-7)\/(-77) + (-555)\/55. Which is the closest to 1? (a) -1\/3 (b) y (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92, 93, 92, 89, 84, 77, 68?\n\"Answer: -d**2 + 4*d + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + 24. Suppose -30*u - s = -32*u. What is the third derivative of -8*m**2 - u - 18*m**3 + 121 - 65 wrt m?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*m + 9 = 0, 2*m - 15 = -2*i + m. Suppose -3*r + i = -w, 0 = 3*r - w + 2*w - 12. Suppose 0 = -2*u + 3*n + 18, 0*u - 9 = -u + r*n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19\/20 + 9\/5. Let f be ((-7 + 5)*1)\/(52 - 50). What is the second smallest value in f, a, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53613 times -5\nAnswer: 268065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -895 + 886 - (1 + (0 - -9))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/2 - 248445*o**2\/2 + 1543185060*o - 1543060840.\nAnswer: 5*(o - 24844)**2*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + (-8 - ((20 - (11 + -2)) + (-9 - 5))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22205 - -31378. Let c = a - 4432. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2 + 30*n + 100 = 0?\nAnswer: -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 786 - 205 - 587. Let k = -12 - -7. Let w(y) = y**3 + 4*y**2 - 7*y - 5. Let t be w(k). Calculate d(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 49*t**5\/60 + 13*t**4\/24 + 11*t**2 - 4. Does 28 divide s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, 0.4, 1, 2.\nAnswer: 0.4, 1, 2, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402309 to the power of 1\/2, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. Let y = 0.01 - 2.51. Let j = y + n. Which is the second smallest value? (a) -4 (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35987 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (1 - 0)\/((20\/150)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 - 2 - 245*t - 44*t - 11*t**2.\nAnswer: -3*t**2 - 289*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**4 - 1 - y**3 + 9*y**4 - 2*y - 5*y**4 + 2 to h*y**3 + b*y**2 + c*y + o*y**4 + r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*n - 1. Let r(a) = -10 + 4*a**2 + 4*a**2 - 7*a + 9*a**3 - 10*a**n. What is r(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -492290137 and 3.927.\nAnswer: -492290133.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*-49\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w + 11*w**2 - 21*w**2 + 1 + 11*w**2. Suppose 28 = 3*s - 2*h, 1 = -3*s - 3*h + 4. Calculate i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 7 (c) 2 (d) 6 (e) -0.09883\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3632*r + 3630*r, r + 17 = 3*d. Solve 0 = -2*p + v - d, -p + 4*v = -12 - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 27, 43, 77, 135?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j + 28. Let p(z) = -z - 1. Calculate -m(h) + 5*p(h).\nAnswer: h - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-120))\/(2116\/(-288305))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 2 + 6\/3. Let g be 6\/(-4)*(-1)\/w. Determine x so that 1\/2*x**3 - 3\/2*x**2 + 1\/4 - 3\/4*x**5 + g*x + 5\/4*x**4 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013064844 rounded to 7 dps?\nAnswer: 0.0001306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1\/5, 4, -13\/204 in descending order.\nAnswer: 4, 2\/11, -13\/204, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658351147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 8, -7, -5.05, -4\/3, 0.1?\nAnswer: -5.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 1968 = -245*w + 738 + 1122 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 410.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25533897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 375 = -5*p, -3*j - p = -5*j + 162. Let v = j - 29. Suppose 0 = -0*x - 2*x + v. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140120781 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1466 - -1813. Calculate the remainder when j is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 139 = 6*o. Suppose 3*y - 113 = o. What is the tens digit of (-1)\/(-2)*(y + 0) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 14, -453*j = -449*j + 2*g - 8 - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 305487, 305446, 305379, 305286?\n\"Answer: -13*r**2 - 2*r + 305502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03277 and -3?\nAnswer: 2.96723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3522012 divided by 2.\nAnswer: 1761006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-4)\/48). Let t(u) = u - i*u + 3*u. Let z be t(-1). Solve -5 = -z*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24475 and 2978525.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9514586.87 to the nearest one hundred thousand.\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 14*v**2 + 4*v. What is the tens digit of w(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670810.4 decades in centuries?\nAnswer: 67081.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1.4, -4, -33\/13, 0.09, -9, -3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.05 + 1.15. Let t = -0.2313 + -4.7687. Which is the third smallest value? (a) t (b) -3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 5*l + 6. Let r be j(4). Let y(o) = -o**2 + 9*o + 11. Let k be y(10). Solve u - r - k = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 55 = -3*b, -1474*b + 1470*b = 2*i - 70 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -18. Let c be 4\/8*10*n. Let z be 2\/c*105\/42. Solve -4 = -5*u + z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 + 5.8. Suppose 0 = -2*g + 2*s + 8, g - 3*s - 13 = s. Let h = -1 + 1.3. Sort l, g, h.\nAnswer: h, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1503394*w**2*z**3 + 5*w**2*z + w - 2*z**3 + 28109*z**2 wrt w?\nAnswer: 3006788*z**3 + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28639*a**4 + 6462*a**2.\nAnswer: 687336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 932864686?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*h*k**3*x + 2*h*k**2*x**2 - 2*h*k**2*x - 2*h + k**6 - 4*k**3*x**2 wrt k?\nAnswer: -60*h*x + 120*k**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -655\/6704?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -851\/128, 3\/5 in descending order.\nAnswer: 3\/5, -2\/5, -851\/128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 6*c**2 - 6*c - 4. Suppose q + q + 20 = 4*z, z - 2*q + 1 = 0. Let j be n(z). Let s(l) = -j*l + l**3 - 37 + 32 - 4*l**2 - 2*l. Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 712 - 710. What is the derivative of 287 + 43*p**l - 22*p**2 - p**3 + 13*p**2 + 15*p**2 - 64 wrt p?\nAnswer: -3*p**2 + 98*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g + 7892. Let p be u(0). Suppose -4882*h = -4742*h - 22680. Suppose -h*v = -158*v - p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 24*m**2 + 22*m - 15. Determine u(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10705312*k**4 + 63431603*k**2?\nAnswer: -256927488*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1889207794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, -1, -11859.5?\nAnswer: -11859.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18.676 and 246.\nAnswer: 264.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/4 + 2*r**3\/3 + 13*r. Find the second derivative of k(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 18*h. Let b be v(1). Let q = b - 16. Suppose 2*j - 3 = -1, -q*j - 122 = -4*m. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0*h + 0*h**4 + 0*h**5 - 137*h**2 - 5*h**3 + 133\/120*h**6 + 0. What is the derivative of m(b) wrt b?\nAnswer: 399*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807*s - 807*s + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -8341, 1\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/15, -2\/59, -2\/9, -298?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 450772 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-3888)*-9)\/(12\/1920)\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312394 by -218.\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314438.7163 - -314424. Let r = x + 0.0363. Let d = -2.38 - r. What is d rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + 29 + -11 + -5 + 25?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*h + 37. Suppose 2*s - 2*f = 14, 5*s - f - 25 = -6. Suppose -s*g + 14 = -h. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1928 divide 240791472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009.777 rounded to the nearest ten?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -2*g**3\/3 - 10*g**2 - 15*g - 306. What is k(-10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - -5) + 41 + -38.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -719 or -717?\nAnswer: -719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -569 - -10813\/19. Sort 1, 1\/5, a, 3 in decreasing order.\nAnswer: 3, 1, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12 + 0 + -14 + 14 + 2. Put -1, -4, y in increasing order.\nAnswer: y, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-3)\/(-6) - 0). Find the second derivative of 0*y**5 + 2*y**5 - a*y - 4*y**5 wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = i + 60, -264 = 4*i + 6*l - 2*l. Let f be 0 - (i\/7 - (-6)\/21). Which is the third biggest value? (a) 0 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -174*r**2 - 21031*r + 2789. Calculate s(-121).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252181594*c**2 - 35108314*c + 9?\nAnswer: 504363188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 23*v - 14. Calculate m(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -12. Let o = 3.8932 - -0.0908. Let p = c + o. What is p rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/13020 and 47\/2853564.\nAnswer: 442302420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = t + 2575, 5*t - 5150 = 7*t - 3*n. Let u = -1106 - t. List the prime factors of u.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -752076463 divided by 479?\nAnswer: -1570097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/40 and 29\/248.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -4, 2, 12, 26, 44?\n\"Answer: 2*f**2 - 4*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 639531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 1. Let p(f) = 2*f - 3. Give 4*m(k) - p(k).\nAnswer: 4*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1394 - -1446. What is the highest common factor of w and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.96 + -0.04. Let d be (5\/(-4))\/(210\/8*(-31)\/186). What is the nearest to 3 in -0.3, 6, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - -2033?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2697 (base 13) in base 6?\nAnswer: -41340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) 5 (c) 0.2 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 3*r**2 - 3*r - 2. Let m be j(-2). Let z(k) = 2*k**3 - 7*k**2 - 8 - m*k - 2*k**3 - k**3. What is z(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259.0869451 + -289.086941. Let x = 52 + -22. Let p = l + x. Round p to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 3*x + 0*x)*(-6 + 1 + 2)*(-4*x**2 - 3*x + 3*x)*(-1 + x + 1) to the form q*x**2 + k + g*x + c*x**4 + t*x**3 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77834199953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7*s**2 + 9*s**2 + s**2. Let v be 18\/8 + (-3)\/12. Let u(x) = x**v + x**2 + 0*x**2. Determine u(a(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 a when four letters picked without replacement from {y: 5, w: 1, q: 5, a: 4, x: 3}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7726.\nAnswer: 2, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -1\/3*u**3 - 5*u + 0 + 1\/2*u**2. Let w be b(-1). Solve w*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -2 (b) -4 (c) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (1 + 0)) + 0. Let w = -0.06 + -2.94. Let n = w - -2. What is the closest to m in n, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5645 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1438*s**3 - 5 + 5 - 1441*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -44 = -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**2 - 6*u. Let l(o) = -20*o**2 + 19*o. Let a(w) = -17*f(w) - 6*l(w). Let c be a(12). Solve c = -4*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481120 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74749307 to the nearest integer?\nAnswer: 8646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4326 - 4326 + 1234*q**2 + 1888*q**2.\nAnswer: 3122*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bc (base 14) to base 12.\nAnswer: 52a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 3*p + 9. Suppose -8 = l - p*l. Solve -l*x + 7*x = 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 + 6*a - 23. Let r be g(14). Let h = 2617\/5 + r. Let q = 19045\/7 + -2726. What is the common denominator of h and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 2*n + 37. Let r be l(5). Let s(g) be the first derivative of 0*g**r + 1\/3*g**3 - 4 + 0*g. Let k(t) = 2*t. Determine s(k(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -3*p**5\/140 + 3*p**4\/7 - 11*p**3\/14 - 12*p + 10. Factor o(y).\nAnswer: -3*y*(y - 11)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25895*f**2 - 3*f - 25886*f**2 + 3*f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178807 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + 11*z. Let b(l) = l. Suppose 12*a - 1018 = 746. Let t = 169 - a. Determine t*b(p) - 2*c(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 - 50*t**2 + 17*t - 415. What is c(25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -3*p + 2*o - 36, 4*p + o = -31 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -19*a**5\/10 - 9*a**2 + 27*a. What is the derivative of p(i) wrt i?\nAnswer: -114*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 2, f: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d**(-9))**(-2\/19)\/(d\/(d**0\/d*d)*d**7*d**(3\/4)*d**(-1)) assuming d is positive.\nAnswer: d**(-533\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15258 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2044, 2085, 2174, 2335, 2592?\nAnswer: 2969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 10*q - 25. Calculate the remainder when 52 is divided by p(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 553\nAnswer: 165.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299173 (base 11) to base 9.\nAnswer: 780264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*i - 116*i - 6 = -3*x, -2*x = 4*i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**4 + 3 - 48*v**3 + 0*v**4 - 75*v**3 - 3*v**4 to the form x*v + q*v**2 + d + j*v**3 + n*v**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/4*((-300)\/(-42))\/(-5)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5501697.\nAnswer: 3, 19, 263, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11683653?\nAnswer: 3, 89, 43759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzhyzzhzhhhzhzz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 f when four letters picked without replacement from {m: 4, z: 1, w: 1, f: 4, e: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 3:43 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 11107270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x + 71*x - 89 = 12*x. Is 1\/400 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 5*b - 4. Suppose -6 = 4*v - 0*z - 2*z, 0 = -z - 5. Let s be l(v). Solve i + s = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let b be (-4)\/(-14) + (-33)\/(-7). Let c be (-3)\/(-21) + 41\/7. Let n(v) = c*v - b*v - 3*v. Calculate n(o(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:57 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, 130, 2?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b6 + -2?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -93.7?\nAnswer: 843.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57334.\nAnswer: 2, 109, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 15*r + 69. Sort r, 0.3, 0.4, 0.2.\nAnswer: r, 0.2, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002486183 rounded to 6 dps?\nAnswer: 0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 402, 603, 804, 1005?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-16)*(-6)\/5)\/4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:58 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25546.4367 + -35227\nAnswer: -9680.5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39 + 2 + (-116)\/29. Let v be (1\/(-5 - -4) - 3) + h. Suppose 9 = 5*x - 6. What is the greatest common factor of x and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30227 - 20993. Is r a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*a + (0 + 0 + a)*(-5 + 5 - 1) + a - 5*a + 2*a + 25*a - 3*a + 14*a.\nAnswer: 31*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 4:18 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 + -7.6. Let c = 2 + -1. What is the third biggest value in g, c, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/27))\/((z*z*z**(-6))\/z) assuming z is positive.\nAnswer: z**(161\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n - 192 = -77 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 5*a + 45, -1 = -2*a - g - 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(612)*-1 + 2 - (sqrt(612) + (-6*(sqrt(612) + -2) - sqrt(612))))**2*4*4.\nAnswer: -246400 + 9600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d**2 + 660*d - 72. What are the prime factors of r(-56)?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 54 = -h, -2*h + 2*q + 140 = 0. What is the highest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 66*r\/7 - 124\/7.\nAnswer: -2*(r + 2)*(r + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 215188 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13395*j**3 + 4466*j**3 + 4466*j**3 + 4464*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**3 - 16*k**3 - 7*k**3 + (2 + 1 - 1)*(-k**3 + 3 - 3) as b*k + q*k**3 + i + t*k**2 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/95765 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**8\/20160 + b**7\/720 + 43*b**5\/60 - 28*b**2. Let a(v) be the third derivative of c(v). What is a(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = 5*p + 2, 2*m = -4*p. Suppose 5*j = u - 5*u + 113, u = -3*j + 37. Suppose -p*v = 4*b - u, 4*v - 32 = -0*v - 2*b. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 - -163.3. Let g = y - 6. Let q be (-10)\/(-8) + -1 + 0. What is the third smallest value in q, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*m + 10, -2*x = -3*x + 2*m + 10. Let a be (-4)\/20 - (-82)\/x. Solve -p - a = 4*q, q + 24 = 3*p - 3*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 6. Let j(v) be the second derivative of -5*v**3\/6 - 5*v**2\/2 - v + 5. Let r(d) = 5*a(d) - 6*j(d). Calculate r(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -258a - -1ca?\nAnswer: -23a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 48 = -10*g. Solve 2 + g = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 124.1, 4, -4, 6\/5, -3?\nAnswer: 124.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 280, 263, 240, 211?\n\"Answer: -3*g**2 - 8*g + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1186937251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43287, -43274, -43253, -43224, -43187, -43142?\nAnswer: -43089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.462 rounded to 1 decimal place?\nAnswer: 42.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6953 is divided by 252?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 1. Let c be l(-4). Let r(t) = -c*t + 2*t + 5*t + 3*t. Let f(i) = -3*i**2. What is f(r(a))?\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1804, -18048, -63186, -151666, -297936, -516444, -821638?\nAnswer: -1227966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 891 and 77403924.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a microsecond in nanoseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let n(p) = 2*p + 3387106. Calculate n(j(i)).\nAnswer: 2*i**2 + 3387106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3400 = -21315. Let g = -2283 - -1240. Let p = q + g. Round p to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -3*b - 110, r = 27236*b - 13619*b - 13613*b + 135 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2910.868 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-5))\/(1\/(-5)). Let w(k) = -k**3 - 8*k**2 - 7*k + 3. Let x be w(-7). Solve u - t = -u, 0 = -x*t + p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 112 = -128. Let p = 50 + y. Suppose -5*m + p*k + 24 = -124, 5*k + 132 = 4*m. What is the remainder when m is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*x + 2 + 339*x + 51*x + 245*x - 157*x in the form q + c*x and give c.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/i**(-2\/73))\/(i**4)**10 assuming i is positive.\nAnswer: i**(-3502\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 13 - 13.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 20*t**2 - 16)*(1 + 4*t**2 - t**3 - 3*t**2 - 3*t**2).\nAnswer: 20*t**5 + 40*t**4 - 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67054 * -0.798.\nAnswer: -53509.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:42 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t + 102 + 3*t - 98. Let y(v) = -v - 5. Give -5*g(u) - 4*y(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-842)\/(-7) + (0 - 2\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -4. Let m = -12 + v. Let w = 0.2 - 0.5. Which is the second biggest value? (a) 0 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11567642*a**2*k**2*u**3 + 46*a**2*u**2 - 226*a*k*u**2 - 76*a*k*u - 3*k**2*u + 2*u**2 wrt u.\nAnswer: 69405852*a**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 187 + -2 + -1. What is the greatest common divisor of h and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u + 1 + 7\/2*u**2. Let i be 10\/(-16) - 27\/72. What is v(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 16 = 3*r, -2*r = -5 + 13. Solve -y*z - 9*z - 3*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/24 - 142\/8. Let c(h) = -6*h - 114. Let r be c(m). Sort -1, 1, r in decreasing order.\nAnswer: 1, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -48*n**5 + 4956*n**4 - 149697*n**3 + 1598637*n**2\/4 + 61494297*n\/2 - 61973118 = 0.\nAnswer: -12, 2, 151\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -5366350883\nAnswer: -5366350894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101168 is divided by 7956.\nAnswer: 5696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n**3 + 126*n**2 - 5*n - 38. Determine b(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 16176.\nAnswer: 177936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:58 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 89 = 68 - 63 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 16*i**2 - 5*i + 1. Is l(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*t = 11 + 3, -4*b + 11 = -t. What is the third derivative of 1486*k**b + 0*k + 0*k - 1503*k**2 + 36*k**3 wrt k?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -19*g**2 - 5480*g + 3189. What is j(-289)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -s + 87, 8*s - 6*s - 158 = -2*a. What is the greatest common divisor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52017400 is divided by 17339126?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144915134.\nAnswer: 2, 7, 13, 23, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30447 + 0?\nAnswer: -30447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759409.\nAnswer: 7, 157, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 626184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39784*n + 3786?\nAnswer: 39784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6097*m**2 + 5401 wrt m.\nAnswer: 12194*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*t - 8*t. Let i(w) be the first derivative of 0*w - w**2 + 0*w**3 + 1 + 1\/2*w**t. Solve i(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 43*u + 4006. Let j be r(-93). Solve -3*c = j*c - 70 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/8 - (-4)\/16. Solve w*t = y, 0 = -2*y - y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -158.134, 0.3, -0.01.\nAnswer: -158.134, -0.01, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 13631 = v, -3*v - 2*v - 10206 = -3*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/2 (c) 0.02 (d) -410 (e) 0.4 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48359 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z**(2\/37)*z*z*z)\/z*z))\/((z\/z**(-4))\/z))**(3\/17) assuming z is positive.\nAnswer: z**(-672\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 13*c**2 - 7*c - 12. Determine z(-8).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/4)\/(-36*85\/(-680))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56135073 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355568 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*u*y**2 + 8*u + y**2 - 130*y wrt u.\nAnswer: 13*y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/60*0 - 1*-39673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**7\/2520 + 13*w**6\/240 + 20*w**4\/3 + 29*w. Let z(u) be the third derivative of y(u). Let l(c) = 2*c. Give l(z(m)).\nAnswer: -2*m**2 + 78*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -17, 39, 149, 331, 603?\nAnswer: 983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 5*s - 2*s)*(-3 - 3 + 2)*(11 - 11 + 3*s) in the form k + f*s**2 + x*s and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 180, 190, 200, 210, 220, 230?\n\"Answer: 10*x + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9126787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1433505 - -3?\nAnswer: 1433510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.11327 and -2781?\nAnswer: 2781.11327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 32*b - 260.\nAnswer: 4*(b - 5)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 18 (b) 1 (c) -12.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/4)\/(2\/(-12)*-42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -249*k**2 + 137*k**2 + 110*k**2. Let a(z) = -5*z**2 - 169. Calculate q(a(j)).\nAnswer: -50*j**4 - 3380*j**2 - 57122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.94973 - -0.05027. Which is the nearest to 1? (a) p (b) -108 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**5)\/q)\/q**4)\/(q*q**(-1\/4)*q**3))**33 assuming q is positive.\nAnswer: q**(-363\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - m + 9, -5*l + 0*m + 12 = m. Suppose 19 + 32 = l*z. What is the remainder when 219 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 6*h**2 + 2378*h - 14292. Determine l(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1980 and 40305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2604488km?\nAnswer: 260448800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -575*j**3 + 1139*j**3 - 567*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f*f\/(f\/f**6)*f))*f\/f**(-2)*(f**(-1))**(8\/11) assuming f is positive.\nAnswer: f**(113\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -316? (a) -34696 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*d - 6 - 39, -3*d = 4*k - 31. Suppose 4*i - k*r = 0, -5*i + i + r + 15 = 0. Let x = 2 + i. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3885317*b**2. Let p(m) = -44*m**2. Determine p(s(v)).\nAnswer: -664210280381516*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 106\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76958*a**4 - 69405 wrt a?\nAnswer: 307832*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 51 = u + 37, v = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (5 - 2) + 7. Suppose m = -j*n - 5 + 2, -2*m + n = 6. Let i(o) = o + 10. Let x be i(-8). Let k(y) = -2. Let u(t) = t - 3. What is m*k(h) + x*u(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02901 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764934 is divided by 4701?\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/5 + 73\/30. Let w = -23 - -118\/5. Let a = -253 + 3797\/15. Put a, w, v in decreasing order.\nAnswer: w, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8106963, -16213933, -24320903, -32427873, -40534843?\n\"Answer: -8106970*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.141 + -0.609. Put 10, 4, y, 3\/2 in decreasing order.\nAnswer: 10, 4, 3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -201\/951508?\nAnswer: -201\/951508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 8*h**2 + 25*h + 11. Is y(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/4752 and 17\/396.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 43*p**2 - 5*p - 3. Give z(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 128 = -2*a, 3*y = -2*a - 77 + 213. What is the lowest common multiple of 325 and a?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46a7 + 55b?\nAnswer: 5046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = x - 1, -17 = -3*k - 2*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268648012502 + 268648012502 - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -0*j + 7*j + 592. Suppose 5*p = -3*f + 580, 0 = 3*p + 2*p - 2*f - 555. Let a = j + p. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24568373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12786*o = 7*l - 12781*o + 10, -2*l = -7*o + 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 0*w)*(4 + 0 - 3)*((-3 + 0 + 4)*(-3*w - 3*w + 5*w) + 0*w - w + 0*w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8646676 is divided by 222?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70404 + -211208\/3. Let r be 3\/(-1 - (-2)\/1). Factor -j**4 + a*j**2 + 0 + 1\/3*j**5 + 0*j + 0*j**r.\nAnswer: j**2*(j - 2)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 3. Let m be o(-5). Let l(j) = j**3 + 34*j**2 + 38*j + 166. Let y be l(-33). Put y, -13, m, -4 in decreasing order.\nAnswer: m, y, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 542 and 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933577453?\nAnswer: 933577453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 12*v**3 - 22*v**2 + 6*v + 39. What is the hundreds digit of p(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729610024 divided by 4?\nAnswer: 182402506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102122 - -11?\nAnswer: -102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in -7, 6, -0.3, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 15*j - 132. Let z be n(9). Let k = -1.94 - 0.06. Which is the nearest to 0? (a) k (b) 7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 9. Find the first derivative of h**2 + n*h - 19*h + 2 wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19503223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = -4*c + 3, -5*d - 2*c - 10 = 0. Let z be 7 - (-2 + 7)*(-3 - d). Solve 5 = -7*u - z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 2*y + 4*y - 16*y - 10*y.\nAnswer: -27*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w = -5*g, -5*w = -2*g. Suppose 295 = y - q, -q = 2 - w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -14 (c) -2\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 979 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:33 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33.3 + 468.6. Round a to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-18) - 52\/234.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 936 and 46449.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1790 and -31\/40?\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -5\/4 (b) 5 (c) 14 (d) 121 (e) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-30))\/((-8)\/(-20)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 573\/2 (b) 3 (c) 6 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-22)\/14 + (-12)\/(-6). Sort c, 0, 3.\nAnswer: c, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 5. Which is the second smallest value? (a) 3 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/14)\/((-3)\/10). What is the third smallest value in a, 3, 1, -6\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 417 - -211. What is the remainder when z is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11054 = -40*i + 10894 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 9. Let c = 14.8 - 17.8. Sort c, -1, b in ascending order.\nAnswer: c, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 837 + 1347 = 0. Let f = s + -229. Suppose 3*t = -2*t + 145. Calculate the remainder when f is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 11:28 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -1\/10*n**6 + 0*n - n**2 - 5\/6*n**3 + 0 + 0*n**5 + 0*n**4. Differentiate k(a) wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-366*p + 392 - 392) to the form g + k*p and give k.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 21 (b) 3 (c) -4 (d) 101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1682, -1509, -1220, -815, -294, 343, 1096?\n\"Answer: 58*m**2 - m - 1739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Suppose -4*h + 3*h + 3 = 0. Suppose -h*r = -r - 4. Let d(k) = k**r + 3*k - 3*k. Calculate d(p(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*f**3 - 222761*f**2 - 254536*f - 72720.\nAnswer: -(f + 4545)*(7*f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1587207735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 124, 166, 192, 196?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 22 - 6 = 0. Suppose 2 = x*w - 22. Let i be w\/(-3) - 22\/(-9). Put i, -0.3, 2 in descending order.\nAnswer: 2, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 > -211\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 36 - 15757*d**2 + 2760*d**2 - 4*d**2 + 4*d**2 + d**2 + (-1 + 1 + d)*(-3*d + 2*d - d) to the form r*d**2 + o*d + y and give r.\nAnswer: -12998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300 + -311415?\nAnswer: -311115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 t when four letters picked without replacement from eeejeeelltcjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4493 (b) 6\/11 (c) -2\/391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q + 4*u - 924 = 0, -2*u + 1854 = 4*q. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 7*a + 6. Suppose 3*h - a = 2*l + 6, -h + 5 = -3*l. Let c be (h - 1)\/(6\/(-12)). Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*r - 200*r**2 + 37*r**2 - 140*r.\nAnswer: -163*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 16*g**2 + g + 4. Let u be h(8). Which is greater: 10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148\/5)\/((-1198)\/2995)*1?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*a - 63*a - a**2 + 0*a**2 in the form i*a**2 + c*a + m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(300))*-2)**2.\nAnswer: -240*sqrt(3) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1326 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 434051*t\/2 - 188400270601\/4.\nAnswer: -(t + 434051)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7489492973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, -4, 1 in decreasing order.\nAnswer: 5, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -s - j - 3, -3*s + 2 = -4*j. Let d(y) = -4 + 4*y - 50*y**s + 51*y**2 + 0. Let n(w) = -w**2 - 5*w + 5. What is -7*d(h) - 6*n(h)?\nAnswer: -h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 19*i**2 + 14*i - 12. Let y be (-2)\/(-5) + 5 + (-234)\/10. What is h(y)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22657, 22656, 22655, 22654, 22653?\n\"Answer: -o + 22658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.8 - 16.8. Which is the biggest value? (a) -4 (b) -0.2 (c) j (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*z + 32 + 47, z - 5 = 0. Suppose 4*h - o - 110 = 0. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1)*y*y)\/y**(-2\/9))\/((y\/y**(2\/15))\/(y\/y**(-6)))*(y\/y**(1\/10)*y\/(y**(3\/8)\/y))**(-2\/11) assuming y is positive.\nAnswer: y**(3127\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23540.31ml to litres.\nAnswer: 23.54031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29544628*k - 5095573 wrt k.\nAnswer: 29544628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:19 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 17*a**2 - 28*a - 2. Give d(14).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 1 + 1 - k**3 + 0 - 4 to the form u*k**3 + w*k + y + v*k**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2115\/1544 - -1\/193. Let l = 293\/824 - -2\/103. Factor -l - 3\/4*y**2 + p*y.\nAnswer: -(2*y - 3)*(3*y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = -3. Suppose 2*o + 40 = -0. Let v be (o\/(-6))\/(1\/z). Calculate the highest common divisor of 15 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(2448)*-3)**2*-6 + -5*3*sqrt(2448)*2.\nAnswer: -2115068 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 72804472 to the nearest one hundred thousand.\nAnswer: 72800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -195975 (base 11) in base 16?\nAnswer: -49666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)\/(a*a\/a**1)*(a**(-3))**(-35) assuming a is positive.\nAnswer: a**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*x - 19*x - 5. Suppose f + 4*f - 1 = -3*v, 2*v + 41 = x*f. Let z(d) = d**3 + 9*d**2 + 7*d - 7. What is z(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5706*d - 1791*d + 1891*d - 5337*d + 877*d as g + l*d and give l.\nAnswer: -10066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2173*b**2 + 712*b + 6. Let m(d) = 724*d**2 - 238*d - 2. Let n(g) = 3*c(g) + 8*m(g). Find the second derivative of n(x) wrt x.\nAnswer: -1454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8 + 4*f + 6 - 5*f + 2*f**2 + 22*f. Calculate c(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4407)\/904 - -4) + (-1 - 1)\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2484 and 27563.\nAnswer: 25079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -8. Let y be (-75)\/(i\/3) - -3. Is (y\/(-7))\/(2\/(-5)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111015839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 23*u**2)*(-u - u + 0*u + (0*u - 4*u + 3*u)*(-1 + 0 + 0)).\nAnswer: 23*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzzztztvzvzkvbbztv. Give prob of picking 1 b, 1 k, and 1 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -38. Suppose a = -s, 4*s - 195 - 49 = -4*g. Let c = g - 60. Calculate the smallest common multiple of c and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/12 + 2*m**3\/3 - 3*m. Let d be l(4). Let i be (-7 - -4)*(-1)\/1. Solve d = 2*g + i*r - 4, -4*g + 8 = -2*r - 2*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -4, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 33235 = 5*q - 33195, 0 = -3*q - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39620.055 + -39620. Put c, 1, 47 in descending order.\nAnswer: 47, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 19*s + 24*s - 1716 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + v**4 + 2*v**3 + (v + 3*v - 2*v)*(2*v**3 + 3*v**3 - 6*v**3) + 7*v**4 + 11*v**4 + 27*v**4.\nAnswer: 44*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698452880 rounded to the nearest one hundred thousand?\nAnswer: 2698500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 12 = 4*g, -5*g + 20 = 6*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 18*q - 34. What is k(14)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002477137 to seven decimal places.\nAnswer: -0.0000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.600177 rounded to one dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -6. Let h(z) = -z**3 - 3*z**2 + 2*z + 2. Let k be h(-2). Is k <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i + 4*y - 1492 = 0, 5*i - 5*y = -1490. Which is greater: -298 or i?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -w + 2*i, -2*w + 3*i + 56 = -2*i. Solve 4*q - 5*t = w, 3*q = -3*t - 5 - 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:46 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jljl. Give prob of picking 2 j and 1 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 65\/78 - (-2)\/12. Let p(c) = 3*c - 3. Let q(g) = -g + 1. What is l*p(v) + 2*q(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -134043 (base 6) to base 8\nAnswer: -30413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**8\/1344 - s**7\/210 - s**6\/80 - s**5\/60 - s**4\/96 - s**2 - 3. Let n(a) be the second derivative of x(a). Factor n(q).\nAnswer: -q*(q + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 64. Suppose -u + 2*z + 124 = n, -u - 5*z - 490 = -5*u. What are the prime factors of (-2)\/6*-3 + u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 11*u - 8*u + (-2 - 5 + 5)*(-1 + 761*u + 2 - 688*u).\nAnswer: -161*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23896, 23900, 23904, 23908, 23912?\nAnswer: 23916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/70*14)\/(1\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 r when three letters picked without replacement from {i: 6, g: 4, r: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + (0 - 32\/(-20)). Let i(d) = -d - 3. Let x be i(-5). Factor q**x + 6*q - 4*q**w - 3*q.\nAnswer: -3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047406 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 1041409?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3435 - -3409.01. Let a = l - -26. Let s be ((-12)\/105)\/((-2)\/5). Are a and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, m: 2, p: 1, x: 1, j: 1}. Give prob of sequence xzzm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 96\/144*27\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -53267, -99485, -145703, -191921, -238139?\n\"Answer: -46218*s - 7049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (2 + -3 - 42). Let c = 29 + m. Let v = -9 - c. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r - 2. Let d(i) = 198*i - 45. Calculate 2*d(x) - 45*p(x).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (20 + 7 + -9 - 9) + 0 + 5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88\/43 - 32527\/16125. What is the common denominator of 94\/75 and p?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-70)\/(-15)*((-12)\/(-8) + -3). Let l(b) = 13*b + 103. Let y be l(m). Solve -9*v = -3*v + y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71385133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77439876 - -2?\nAnswer: 77439878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2231960 to the nearest 10000.\nAnswer: 2230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:20 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1506 - -1037. Let i = m - -478. Solve i*t - 2*v - 3 = 4*t, -v = -t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43220.86 centuries to millennia.\nAnswer: 4322.086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/11)\/(-26*(-7)\/91).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.28 - 12.28. Suppose 51*l + 10 = -5*g + 46*l, -2*g + 5 = 5*l. Which is the closest to f? (a) -3\/4 (b) 0.1 (c) g (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.371 - 124.629. Let g = u + 125.3. What is the closest to g in -2\/7, 0.4, 1, 4\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151710832 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z. Let w = 41 - 39. Let a(x) = 21*x**2 - 56*x**w + 18*x**2 + 14*x**2. Give d(a(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + 740\/100. What is the units digit of 9090\/105*p\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15104, 30321, 45524, 60707, 75864?\nAnswer: 90989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -610.46 - 0.2443553644.\nAnswer: -610.7043553644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-14) - 18\/(-14). Let q(j) = -4*j + 3. Let r(a) = -7*a + 6. Let i(o) = -5*q(o) + 3*r(o). Let x be i(-2). Solve -2*p = -x + m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 - 176.07. Let t = 0.07000147 + w. What is t rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 35\/3, -0.022, 3\/13, -9?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-42) + (-16)\/(-7). Suppose 0 = -4*g - 2*r, -2 = 3*g - g + p*r. Let a be g + -26*14\/4. Round a to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/5)*h\/((h\/(h**(-4)*h))\/h)*h*h**(-1)*(h\/h**5)\/h*(h\/((h**(2\/7)*h*h*h)\/h))**(-6)\/((h**(1\/4)\/h)\/(h**(-7)*h)) assuming h is positive.\nAnswer: h**(-691\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 24*b - 30. Solve j = b*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2771135 (base 10) to base 4\nAnswer: 22210202333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -490*d + 500*d - 1 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3\/6 - 107*l**2\/2 - 162*l = 0.\nAnswer: -3, 0, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/140*364\/(-117)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 402*r + r**2 - 407*r + 810*r - r**2 - 336*r**3 as i*r + a*r**3 + b*r**2 + x and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127 + 891\/7. Which is smaller: -20 or a?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 24. Let k be l\/4 + (-3)\/(-12). What is the closest to 3\/5 in -3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -336\/5 in -5, -11, -5.7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38\/69 in 1, 27, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4028385*n**4 - 2*n**2 + 289228.\nAnswer: -96681240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67379 = -1554*r + 14543 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10110010111111000 (base 2) to base 11\nAnswer: 6293a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*l + 7, 7*m - 44*l + 40*l = 39 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 79*u**4\/24 + u**3\/6 - 2*u**2. Let p be h(1). Suppose 15*w - 11*w = p. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11216, -11742, -12268, -12794, -13320, -13846?\n\"Answer: -526*n - 10690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 19283934 - 19283934.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, -1, -5, -1673, -4, 0 in ascending order.\nAnswer: -1673, -11, -5, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -3. Suppose -9 = -r*f - 3*t + 2, f = 2*t + 10. Let g(a) = -15*a + 56. Let n be g(4). What is the nearest to -1 in -5, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18039*n - 2 + 104*n**3 - 107*n**3 - 18039*n.\nAnswer: -3*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17169534 divided by -38?\nAnswer: -8584767\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011111110 - -1?\nAnswer: 1011011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 32 = -3*h, -4*v - 64 = 4*h - h. What is the units digit of (1 - 1*-2)\/(v\/(-32))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {m: 3, j: 2, u: 1, e: 4, c: 3, z: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 4)*13 - 3. Suppose y = -0*y + m. Suppose -s - 3*w = -y - 1, -2*s - 3*w + 158 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2 + 779295*h + 779290 = 0. What is h?\nAnswer: -155858, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-68*(-1)\/5376)\/(4\/16) and 91\/1296.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 222462?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 7*o - 2. Let b be n(-4). Suppose -b*i + 0*i = -34. Let s(g) = 11*g - 31*g + i*g. Let r(f) = 5*f. Determine s(r(t)).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 660 - 20. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sys when three letters picked without replacement from {s: 2, y: 15}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/4)*n*n*n**(-2\/11)*n**4\/n**(-2\/3) assuming n is positive.\nAnswer: n**(955\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22*w + 119. Let u(j) = -j**2 - 31*j - 118. Determine -2*u(v) - 3*y(v).\nAnswer: 2*v**2 - 4*v - 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*s + 111 = s, 3*c = -2*s + 214. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267 + 277. Solve -t*x = 5*x - 75 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 10 + 6 = 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.1 greater than or equal to -887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - j**2 - 3*j**2 + 5*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = 0, 4*g - 5*p = 24 + 4. Let o = -11 + g. Let b be 6\/18*o\/(-3). Let h(n) = -10*n**2 - n + 1. What is h(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342 = -212*v - 82 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 7. Let s be k(5). Let i = 2 - s. Which is the third biggest value? (a) i (b) 0 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {q: 3, v: 7, i: 2, x: 3, j: 3, s: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**3 + 4*v + 8. Let n(q) be the second derivative of q**3\/6 + q**2\/2 + 12*q + 64. What is a(g) - 4*n(g)?\nAnswer: -5*g**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2308, 2404, 2500, 2596, 2692?\nAnswer: 2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 106, 191, 312, 481, 710, 1011, 1396?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abvh when four letters picked without replacement from hahvvhvvvvbv.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*0\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76*c**2*f*y + 134989*c**2*f + 58*c*f*y + 9*f wrt y?\nAnswer: 76*c**2*f + 58*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.66643139.\nAnswer: -5.66643139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -12, 0, 61.\nAnswer: -12, -5, -2, 0, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674.763 decades to months.\nAnswer: 80971.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -0.00591\nAnswer: 0.19409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2604463224?\nAnswer: 2, 3, 11, 2683, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - l**4 - l**3)*(12*l + l + 55*l).\nAnswer: -68*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 760086.7*-0.053.\nAnswer: -40284.5951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffddkfdfcfcffffckcfd. Give prob of sequence cckk.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 5. Let a(j) = 1. Let f(b) = -6*a(b) - x(b). Let m(k) = 5*k - 3. Let l(t) = 3*f(t) - m(t). Let w(o) = -8*o**2. What is w(l(n))?\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - -96. Let h be -4*((-15)\/90)\/(k\/3). Suppose 0 = 4*u + 3*q - 588, h*q - 74 = -u + 73. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12964\/9 + -285055\/198. What is the biggest value in -0.2, s, -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 701.5 + -11.2.\nAnswer: 690.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*l - 325 - 932 = 885 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 432. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 9, g: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/73)\/(u*u**(-28)) assuming u is positive.\nAnswer: u**(1969\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 + -12. Let c(t) = t**3 + 4*t**2 - t - 3. Let x be c(-4). What is the tens digit of (x + 0)\/((-8)\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/17 - -14\/51. What is the closest to s in -0.2, 1, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16735 - -144222. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17915 - -17909. What is the closest to 0 in 5, 114\/13, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 91*z + 196*z - 53*z - 69*z + 58 + 5*z**2. Let k(c) = -27*c**2 - 827*c - 291. Let l(w) = 2*k(w) + 11*s(w). What is the derivative of l(o) wrt o?\nAnswer: 2*o + 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33382252688 + 1.9.\nAnswer: 33382252689.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 + 5*a + 6. Let p be m(-3). What is the second derivative of -2*w + p*w**2 - 20 - 7*w**2 + 24*w**2 + 26*w**2 wrt w?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**6\/480 - 7*n**5\/80 + 5*n**4\/4 - 25*n**3\/6 - 2*n**2 - 102. Factor q(z).\nAnswer: (z - 10)**2*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*y = -y + 16, 4*o - 72 = -4*y. Suppose 0 = -0*s - s + 4*d - 1, -3*s = -2*d - 17. What is the remainder when o is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 7*c + 3. Let j(h) = 2*h**2 - 14*h + 6. Let r(l) = -4*j(l) + 7*z(l). Determine r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 172 (c) 4\/7 (d) -127 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*j - 4, 0 = 3*j - 0*j + 4*w - 29. Suppose y - 1 = j. Let g = -421\/42 - -242\/21. Sort g, -0.3, y in ascending order.\nAnswer: -0.3, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z + 12. Let c be 2\/(-6) + (-1)\/z. Solve -2*v + w - 2 = c, 5*v - 12 + 3 = -w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2099*l*n**2*w**3 - 59049*l*w**3 - 2*n**2 + 2*n*w**3 - 1808*n*w + 4190*n + w wrt l.\nAnswer: -2099*n**2*w**3 - 59049*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*25\/450*11997\/(-86)?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-12))\/((-2)\/(-3)). Let v(r) = r**2 + 6*r + 4. Let z be v(-6). Let i(u) = z*u + u**2 + 13 - 6 - 4. What is i(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17580530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - -1.02. Let o = 491\/3 + -163. What is the fourth smallest value in v, 8, -2\/7, o?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1183*j**2 + 4*j - 4. Let q(x) = -636*x**2 + 2*x - 2. Calculate -5*q(c) + 3*t(c).\nAnswer: -369*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(336) - sqrt(336)*-1)*5)\/((sqrt(192) - -6*3*sqrt(192))*3) + -5.\nAnswer: -5 - 5*sqrt(7)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19269, 77059, 173403, 308295, 481729, 693699, 944199, 1233223?\n\"Answer: -n**3 + 19283*n**2 - 52*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12*u\/(u*u\/(u\/u**11)*u))\/(u**(-2))**(-32\/7) assuming u is positive.\nAnswer: u**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c + 18 = -o, -4*c = 2*o + 16. Which is smaller: 4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*m**2 + 92*m + 8 = 0.\nAnswer: -1, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 321212600 to the nearest 1000000.\nAnswer: 321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7071, 28422, 64045, 113934, 178083?\n\"Answer: -f**3 + 7142*f**2 - 68*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 101. Let q = 655 + -655.5. Which is the closest to 1\/3? (a) z (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272, 279, 288, 299, 312?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + q - 2 - q + 2 + (-1 + 0 - 1)*(q - 2*q + 0*q))*(-2 + 1 + 7) + 5 - 4 + 9*q + 1.\nAnswer: 21*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -5, -1062816, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 253754.67412 - -2445.6\nAnswer: 256200.27412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -4021757?\nAnswer: -4021753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.1. Let m be 10\/(-50) + (-3)\/(315\/(-51)). Which is the closest to 0.1? (a) s (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -8*j**4\/3 - 31*j**3\/2 + 65*j**2. What is the units digit of k(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(76) + -1)*-3 - sqrt(76) - sqrt(76)) + (5 + -4 + sqrt(19) - (-3 + sqrt(19))*6))**2.\nAnswer: 360*sqrt(19) + 38491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*k**3 - 76*k**3 + 150*k**3 - 6*k**2 in the form c + a*k**3 + u*k**2 + l*k and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 10*m + 65 = 7*m. Solve -8*k = -m*k - 30 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 429092*u**4*w - 120*u**3*w**3 + w**3 + 35855*w**2 - 88*w - 3 with respect to u.\nAnswer: 1716368*u**3*w - 360*u**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 7*f + 16. Give o(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 205164200669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 12 = -m - 0*r, 0 = -3*m - 3*r + 6. Suppose -m*g - 13 = 1. Which is the closest to g? (a) 0.2 (b) 2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -1\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111110001111001 (base 2) in base 4?\nAnswer: -1113301321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -7. Let c = -3 - s. Let t = 19.1 - 18.7. What is the nearest to t in 1\/4, c, 3\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3830879575 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -268.7.\nAnswer: -266.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.09 - -16. Let g = b + 0.08994. Round g to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1485)\/36)\/11)\/((-370)\/(-592)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 + -5. Let i = 4.6 + -4. Let s = i + b. What is s rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3388, -0.07, -1 in increasing order.\nAnswer: -3388, -1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 12) + -15 + (52 - 11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - 3*d - 3*d + (4*d + d - 3*d)*(-4 - 2 + 4))*(-239 + 107 + d + 95) in the form l + b*d + q*d**2 and give b.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a - 195 + 195 to c + b*a and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fourty-seven quarters of a millisecond?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**4*q - 54*j**4 - j**2*q - 5*q - 56 wrt j.\nAnswer: -4*j**3*q - 216*j**3 - 2*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -20, 1 = 3*d + 2*x + 2. Let p(g) = -g - 2. Let z be p(d). Suppose 2*v - 5*k = -7, 7*v + 3*k - 29 = 2*v. Put 3, z, v in ascending order.\nAnswer: z, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 v when four letters picked without replacement from vkvkvkv.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -83. Let r = o + -29. Suppose 2*c + s = 163, 3*c - r*s = 177 + 72. What is the remainder when c is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3148\/92173 or 1?\nAnswer: -3148\/92173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297368 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 divided by 114391?\nAnswer: 540\/114391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32942144 - 55383384. Let i = t + 22441240.99999976. Let v = -1 + i. Round v to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.1 (c) -28 (d) -5728 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 901452 in descending order.\nAnswer: 901452, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 861, 854, 857, 876, 917, 986?\nAnswer: 1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 + 165 + (-7 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9 - (7 - 1 - 263)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 82 = -3*i, -i + 2*i = 2. Let l = 47 + x. Suppose 441 = l*j - 354. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 11.\nAnswer: -27\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*l + 1, 4*l - 6 = 2*l. Suppose -85 - 22 = -5*t - a, -4*t - k*a = -73. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -45 and -5\/14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300444730 and 3.\nAnswer: 901334190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 c when four letters picked without replacement from {j: 4, c: 2, w: 1, z: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604469143?\nAnswer: 101, 5984843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -25*d - 189. What is the lowest common multiple of v(-8) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.039 (b) 0.1 (c) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001552 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d - 213 = -4*q, -5*q - 150 = -3*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1226, -1219, -1202, -1175, -1138, -1091, -1034?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h - h + 6279. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 8*p + 3. Let y(r) be the first derivative of 1\/3*r**3 - p + 1\/2*r**2 - 2*r. Factor y(d).\nAnswer: (d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g - h - 42, 27 = 3*g - 3*h. Suppose 4 = -0*r + r. What is the remainder when 167\/r - (-2)\/8 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 257 - 122 = -165. Solve -15*n = -5*k - i*n, 9*k - 24 = n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 3. Let y be l(1). Find the common denominator of y\/27*(-10)\/8 and -49\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2975673784 + -3.\nAnswer: 2975673781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 266, -8, -57 in decreasing order.\nAnswer: 266, -5, -8, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 2 - 2 - 15*n**2 - 3*n**2 - 8*n**2 - 2*n**2 + 0*n**2 - n**2 + (3 - 3 - 1)*(3*n**2 + 4*n**2 - 5*n**2))*(-3 + 1 - 1).\nAnswer: 90*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*(sqrt(288) + (sqrt(288) + -1*sqrt(288) - sqrt(288)) + sqrt(288)))\/sqrt(6))**2 + 3.\nAnswer: 64*sqrt(3) + 775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2626*t - 3381 - 808*t + 3381.\nAnswer: 1818*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 10:54 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2708875 and 279500?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-44))\/(1\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -99. Calculate the greatest common divisor of 21 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/90)\/((-1)\/24*2). Which is the fourth smallest value? (a) u (b) 2\/5 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-24))\/(30\/(-80))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 38*p + 79. What is s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2 - 1 + 1 - 3*b + 2*b. Let i(g) = -g + 1. Determine 2*i(w) - z(w).\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 304 (b) 4 (c) -1 (d) -3 (e) -1255\/11 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414024 (base 5) to base 4.\nAnswer: 3111013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + h + 2*h**2)*(1 - 5 + 4*h + 6) in the form v*h**2 + r*h + p + a*h**3 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23924*p**4 + 23749*p**4 - 164 - 154 wrt p.\nAnswer: -700*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205275 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 10:03 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + 3 + 6 + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(42)\/sqrt(6))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 44. Let q = -10019 - -10084. What is the remainder when q is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4)\/(x\/(x*x**(-4\/3)*x*x*x)))\/(x**(-2)\/x)**(7\/9))\/(((x*x*x**(1\/2))\/x**8)\/((x**8*x)\/x*x*x**(-1)*x)) assuming x is positive.\nAnswer: x**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39786*g**5 + 2*g**4 - 11*g**3 + 42874*g**2 + 15*g - 2 wrt g?\nAnswer: 2387160*g**2 + 48*g - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*u**4\/8 - 53845*u**3\/4 + 194328*u**2 - 700164*u.\nAnswer: -u*(u + 4322)*(5*u - 36)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 165 - l**2 + 528 + 604 - l**2.\nAnswer: -2*l**2 + 3*l + 967","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**2 - 4*k - 5. Determine y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149604?\nAnswer: 2, 3, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2 - 125202*v - 1306295067 = 0. Calculate v.\nAnswer: -20867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*d + 3*m = 94*d + 630, -4*m - 651 = -3*d. Solve -194*w + d*w = -114 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*q + 161, 2*q + 0*d = -d + 81. Let k = -13 + q. Let z = 185 - 170. Calculate the remainder when k is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.9 + 6.9. Let j = 56.5 + x. Let l = j + -24. What is the closest to -1\/3 in l, 2\/5, -2.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 74 - 37 - 37 + o**2. Let z(g) = -26*g + 74*g - 21*g - 34*g - 2*g**2. Calculate z(h(n)).\nAnswer: -2*n**4 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(78)\/(((3*sqrt(12) - sqrt(12)) + sqrt(12))\/sqrt(2)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2329 + 2024.5. Round o to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*a**2 - 113*a**2 + 237*a**2 + (-2*a + 2*a + 2*a)*(0*a + 3*a - a) in the form r*a + m*a**2 + n and give m.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 2*v)*(-132*v + 132*v + 23*v**2).\nAnswer: -46*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjxwknnwkrkw. Give prob of picking 4 k.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 7*b**2 + 6*b - 28. Calculate a(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -3. Let u be (-2)\/(-3) + m\/(-6). Factor -u*h**3 + h - 8*h**4 - 4*h**3 - 3*h**5 + h**3.\nAnswer: -h*(h + 1)**3*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-2)\/4*(-11 - -17))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64285000 rounded to the nearest one million?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3251 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (16 + -2 - (16 - 30 - 30)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(6253\/148)*(-13)\/(-398)\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3009287414 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 885699, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) -5 (b) -6 (c) 2\/15 (d) -5\/4 (e) -2031 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(-5*sqrt(64) - sqrt(576)*1)\/((6*sqrt(88)*-3)\/sqrt(11)))**2.\nAnswer: 128\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + d - 3*d + 10 + 32*d**2 + 21*d**2 - 13*d**2 as z*d + g + a*d**2 and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**(1\/9)))**(23\/5)\/(u*u**(-33)*u*u*u\/(u**7\/u)) assuming u is positive.\nAnswer: u**(1391\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53047, 53066, 53111, 53194, 53327?\nAnswer: 53522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 - 26*j**2 - j**3 - 3*j**3.\nAnswer: 2*j**3 - 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3260, 5327, 7400, 9479, 11564, 13655?\nAnswer: 15752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44340 a multiple of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2066 * -0.5\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(3\/5)*z*z**(-4)*z*(z*(z*z*z\/z**17)\/z*z)\/z*z**(-4\/7) assuming z is positive.\nAnswer: z**(-559\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/10 - 67*v**3\/3 - 36*v. Find the second derivative of d(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + -41. Suppose 0 = 5*a - 16 - k. Solve q - a = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - 2.2. Let g = -4.6 + 5. What is the smallest value in g, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 2*o. Let t(f) = f**2 + f. Let b = 105 - 107. Calculate b*t(r) + a(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 = 2*r, -3*r - 34 = 2*r - 2*s. Let o be 5\/(-2) + (-4)\/r. Let b be o*(-3)\/2 + 6. What is the highest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*s = -j + 24, -4*j + 3*s + 22 = 0. Suppose -2*k = j*i - 3*i - 153, 3*i + 157 = 2*k. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + g - g**4 + (3 - 4 - 5)*(-2*g**4 + 3*g**4 + 0*g**4) + 89*g**4 - 25*g**4 - 8*g**4 to z*g + y*g**4 + f*g**2 + q*g**3 + k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.6 and 6.\nAnswer: 105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 306\/(-22) - 2*1\/22. Calculate the common denominator of 41\/8 and o\/(-98)*(2 + (-68)\/48).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bul when three letters picked without replacement from {f: 1, b: 2, z: 1, l: 1, u: 1, i: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1172 - -1181. Suppose -r - 21 = -2*c, -5*c - 2*r + 22 = -17. What is the highest common divisor of p and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 5, -4, 100, -1 in decreasing order.\nAnswer: 100, 22, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.138 + -22.165522. What is x rounded to four dps?\nAnswer: -0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7278.538 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqiioopiii. Give prob of picking 2 o and 2 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = 3*t + 4*h, -3*t = t - 4*h - 396. Calculate the greatest common factor of t and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3758 less than -112.11882?\nAnswer: -3870.11882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -173?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2611 or 2609?\nAnswer: 2609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503971 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1219, 2440, 3661, 4882, 6103?\n\"Answer: 1221*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7424 + -3259. What is the third derivative of o*d - 22 - 4165*d + 2*d**2 + 55*d**3 wrt d?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 20 = -4*c, -4 = 5*c + 4*h + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + 1. Let u = z - 0.3. Let f = u - -2.2. Put f, -0.5, -1\/3 in decreasing order.\nAnswer: f, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 37) + -12 + 19.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*15)\/((-630)\/(-120)). Which is greater: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quq when three letters picked without replacement from uupuqpqquupppqppqp.\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2423558 is divided by 2678.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**4\/3 - 112*w**3 - 4590*w**2 + 28900*w\/3 = 0.\nAnswer: -85, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08059 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2438 in -1, 0.2, 19, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*w + w. Suppose q = -w + 71. What is the remainder when q is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 + -2 + ((-12)\/22)\/((-488)\/(-2684))\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 390137, 390136, 390135?\n\"Answer: -j + 390138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 3. Let r be m(-6). Let d = -0.1285 + -3.8715. Which is the smallest value? (a) d (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose 8 = g*q, -2*n = -0*q - q - 28. Suppose -8*u = -5*u - n. Sort -5, 3, u.\nAnswer: -5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times 6803?\nAnswer: -1088.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.92839474 to one dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 99*x**2 - 24714*x - 5423. What is a(-89)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minus 333.64?\nAnswer: -191.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.1 - 1.1. Let z = -0.21 + -0.1. Let b = -0.01 - z. Put -3, k, b in decreasing order.\nAnswer: k, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -825.\nAnswer: -4\/825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - l**2 + 17. Let p(o) = -o**3 - 2*o**2. Let b be p(-2). Suppose b = -2*y + y. Calculate the remainder when 32 is divided by u(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 - 27*m + 63. Let p be f(5). Solve 2*h - 3*h + l - 9 = 0, p*h = 4*l - 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 12. Let l = -14 - -4. Let h be s(l). Let o = 113\/3 - h. Which is greater: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 161138, 644940, 1451278, 2580152, 4031562?\n\"Answer: 161268*m**2 - 2*m - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 47 (b) 4 (c) 0.24 (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -154 and 5024.\nAnswer: -773696","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -2 + (-8 - 3) - -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 2091.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/174685 and -73\/1130.\nAnswer: 39478810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 151294.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2826*y**2 - 2*y**3 - 2833*y**2 - 2841*y**2 - 2823*y**2 + 11323*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3128633mg?\nAnswer: 0.0003128633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -879, -10, -661, -2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42 + 23 - 64)*(-3*r + 3*r + 2*r) + 3 + 3 - 8 - 5*r to s + g*r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -62 (b) -5 (c) -0.06 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 - 2*g + 4. Let x = 3484 - 3481. Determine f(x).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*f + 24 = 0, f = -0*f - 3. Solve 8*q + c + 3 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445135126 to the nearest integer?\nAnswer: 21098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + h**4 + 4)*(1 + 0 - 3)*(-8*h + h + 5*h).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 2\/9, 2.\nAnswer: 2\/9, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -503, 426, -1, -545, -5 in descending order.\nAnswer: 426, -1, -5, -503, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 409287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 14 = -9. Suppose -97 - 73 = -x*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euokeuekuuouueyyxuu. What is prob of sequence ouo?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*s - 1611*s = 2423 - 87574 - 2169 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 427182.6cm in nanometers?\nAnswer: 4271826000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -0.5, 18623\/9 in decreasing order.\nAnswer: 18623\/9, -1\/10, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/28)\/(2 + (-182)\/98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8582 equal to -1690758\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*5539766\/(-669). Is 12423 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*f - 51 = 3*w, -f = -5*w + 160. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 11. Let h be m(-7). Suppose 0 = 5*j - 20 - 15. Let n = j + h. Which is smaller: 7\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*q + 29 = -112*q + 5*z, 4*q + 5*z - 26 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(-z + 2*z + z) + (-32*z - z - 3*z)*(-9 + 35 - 7) as s + n*z and give n.\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 5850*f - 6356*f - 28)*(-6*f**3 + 2*f**3 + 2*f**3 + (3 + 2*f**2 - 3)*(-4*f + 2*f + f)).\nAnswer: 2024*f**4 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175744 by -21968.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(1978\/161))\/((-7)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e59b4 (base 16) in base 14?\nAnswer: 1541d2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d\/d**(-24)))\/d*d)**38)**(2\/5))**(1\/12) assuming d is positive.\nAnswer: d**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, -0.3, -0.1212, 0 in increasing order.\nAnswer: -199, -0.3, -0.1212, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/37 in 0.1, 48\/11, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 74*j + 7 + 0 - 13 + 8 - 25 to the form o*j**2 + r*j + b and give r.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/54 and -61\/7284.\nAnswer: 65556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3284501*c*q**6 + 3*c*q**3 - 834826*c*q**2 wrt q.\nAnswer: -394140120*c*q**3 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njrbfkknjfnbjj. What is prob of picking 1 b and 1 k?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1264 by 8.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + d + 2. Factor 6 + 2*t**2 + d*t**2 - 9*t - t**2.\nAnswer: 3*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 62*l + 145. Let b be x(18). Suppose 0 = 4*w - 6*w. Suppose w = 3*z - b - 8. Solve 0 = 2*m - 5*m + z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*l = -4*l - 772, -3*m + 5*l = -452. Calculate the greatest common factor of 176 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 1)*(2*u - 4 + 4) + (2 - 2 + 2)*(-6 + u + 6) + 2*u + 5*u + 2*u to the form x + d*u and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2013*s**3 - 77*s - 77. Let m(z) = -53*z**3 + 2*z + 2. Determine -77*m(k) - 2*p(k).\nAnswer: 55*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48803.4m?\nAnswer: 48803400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = 82 - 102. Solve 0 = k*m - 0*m + 2*a - 12, 0 = 2*m + 5*a - 21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10941, -24, 2, 0 in decreasing order.\nAnswer: 2, 0, -24, -10941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12323 divided by 7\nAnswer: 12323\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1302 - 690. Is 109 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(88)*2*-1)\/sqrt(8).\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 + 5*j - 1. Suppose -32 = -3*t - 2*q, 4*t - 3*q - 37 = -0*q. Suppose 5*x = 3*x - t. Let y(s) = -3*s**2 - 3*s + 1. Give x*y(u) - 3*p(u).\nAnswer: -3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 391 - 2*i**4 + 62*i**2 + 374 + 28*i**2 - 765 + 6*i as d*i**4 + h*i + t + y*i**3 + g*i**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 + 4*b + 0)*(2*b**3 + 2*b**3 - 3*b**3).\nAnswer: 4*b**4 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/((-725)\/575) - (1 - 3)*(-2)\/8?\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (12 + 2 + (8 - 10)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135722 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 2*l**3 + 4*l**3 + (3*l**2 - l**2 - 4*l**2)*(-l + 4*l - l) + 0*l**3 + 5*l**3 - 4*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1068 and 83838?\nAnswer: 167676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3587, -7586, -12413, -18482, -26207, -36002, -48281?\nAnswer: -63458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354320 and 1770.\nAnswer: 62714640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 a when three letters picked without replacement from {s: 5, a: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 11)\/(0 - 1). Suppose -n + 2 = -s. Calculate the remainder when 30 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 12587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846594 - 846594 - 475*u + 473*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33589 divided by -1.\nAnswer: 33589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16975 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, 69, 226, 417, 654, 949, 1314, 1761?\nAnswer: 2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*q - 3743 - 4200 - 4069. Sort -5, -4, q, 2.\nAnswer: q, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 9 + 111 = -64*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55082, 55058, 55036, 55016, 54998, 54982?\nAnswer: 54968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*((-1050)\/(-60))\/35.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -1183\nAnswer: -4\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -645926135.46038 + 645916472. Let o = -9673.46 - z. Let w = o + 10. What is w rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 17*m**2 + 11*m - 11. Let z be f(15). Let g = 503 + z. Suppose g = 2*y + y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 716518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**44*(u**1*u)**(1\/45) assuming u is positive.\nAnswer: u**(-3958\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m**3 + 13*m**2 - 13*m + 25. Let q(x) be the third derivative of -x**6\/60 + x**5\/20 - x**4\/8 + x**3 - x**2 - 2. What is 26*q(n) - 6*y(n)?\nAnswer: 2*n**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26216 and 24824.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 7\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 657547797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4869, -3, 5, -4 in decreasing order.\nAnswer: 5, 1, -3, -4, -4869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 780209497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312 (base 8) to base 14.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:12 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**5)*q**1)\/(q*q**(2\/13)*q*q**(-2)) assuming q is positive.\nAnswer: q**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80469011 is divided by 132133.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039400 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 36*a + 29. Determine g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3a7328 (base 12) to base 3\nAnswer: -1211002200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*c + 858, 4*c + c = i + 848. Let g = 1280 + i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3466*j**2 + 3*j. Let k(r) = -5*r**2 - 5*r**2 - 63*r**2 + 78*r**2 - 4*r**2. Calculate c(k(y)).\nAnswer: 3466*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 60468\/10 + 29\/((-145)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s = -6. Suppose 4*z = -2*t, -s*t + 0*z + 36 = -3*z. Let u(i) = 4*i + 3. Let w be 1\/4 - 42\/8. Let l(m) = 6*m + 5. Determine t*u(x) + w*l(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q = -3052. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*d + 5*d - 2*f, 0 = -2*d - 5*f + 19. Factor r - r**3 + 1 + r**d + 7*r**2 - r**2 - 8*r**2.\nAnswer: -(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7610380 by -436.\nAnswer: 17455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0 + 3*r**2 + 0*r**3 + 4*r + 0*r**4 - 1\/10*r**5. Differentiate n(w) with respect to w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 - 77 = -4*g + 5*h, 48 = -g + h. Is 1\/3 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8270\/11 + -745. Let q = 584\/55 - r. Find the common denominator of -47\/2 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (12 - 0) - -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1120, 1130, 1154, 1198, 1268, 1370, 1510?\n\"Answer: u**3 + u**2 + 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5083367, 5083289, 5083211, 5083127, 5083031?\nAnswer: 5082917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 429*l**5 - 1054*l.\nAnswer: 8580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmqmqmqqqm. Give prob of picking 2 m and 2 q.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 446683.6mg in micrograms?\nAnswer: 446683600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -212452504 (base 6) to base 7\nAnswer: -44023144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -124230*b - 46. Determine f(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 9*s = -2*s. Let n(m) be the second derivative of 0*m**3 + 0*m**4 + s*m**2 + 1\/189*m**7 + 1\/90*m**5 + 2\/135*m**6 - 2*m + 0. Factor n(f).\nAnswer: 2*f**3*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495677 divided by 498559?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*3\/(-4 + 10)*1. Suppose -a + 101 = -u, -2*u = -y*a + 407 + 89. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:55 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(288) + 1 + 1*sqrt(288) + sqrt(288)) + sqrt(288)*-1 + 4 + 4)**2.\nAnswer: 432*sqrt(2) + 1233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**3 - 55*m**2 - 60*m = 0?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7)*(13\/2)\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -658*h**3 + 653*h**2 + h + 13585130 wrt h?\nAnswer: -1974*h**2 + 1306*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-10)*2\/(-3). Let v = 17.6 - 10.6. Which is the closest to i? (a) -2\/11 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 1. What is d(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + f. Let b(v) = 13*v**2 - 8*v + 2. Determine -b(o) - 6*q(o).\nAnswer: -7*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207615525?\nAnswer: 3, 5, 13, 31, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*p**4 - 62 - 58*p**4 - 52 + 18 wrt p?\nAnswer: -164*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 + -0.5313895?\nAnswer: -2.6313895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 - 0.1. Suppose -3*i - 3*t - 2*t = -3, t = 0. Let o be ((-6)\/14)\/(i\/(-1)). What is the biggest value in y, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, 2229, -6, -4, 10.\nAnswer: -6, -4, -0.5, 3, 10, 2229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + 22?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/(9*9\/18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 10:06 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3385.72 - -3356.7226. Let g = 29 + i. Round g to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26461, 53005, 79581, 106189, 132829?\nAnswer: 159501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 8. Suppose z = v - 0. Suppose -4*m + 2*g - 4 = -3*m, -m + 14 = v*g. Do 3 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11732 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 5, g: 1, r: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91863 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17338*s + 34203*s - 17207*s.\nAnswer: -342*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.8, -0.08, -0.042, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149.1 + 149. Sort -2\/3, 1, -0.03, q in descending order.\nAnswer: 1, -0.03, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 127*d**4\/6 + 4*d**3\/3 + 14*d**2 + 6*d + 4. Find the second derivative of a(k) wrt k.\nAnswer: 508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*(4\/60)\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011011011010 (base 2) to base 4.\nAnswer: 10123122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13191 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 7*y**2 + 103*y - 35.\nAnswer: -(y - 7)*(y + 5)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + sqrt(405) + 2 + -4)**2 + -5*3*sqrt(405).\nAnswer: -207*sqrt(5) + 1624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p = -12. Let r be (-8)\/6 + p\/6. Let c be 20\/9 + (-4)\/2. What is the third smallest value in c, r, -2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.2, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ompzozppuoozpompp. Give prob of sequence mm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 7507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2117 + 1219 = 278*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4718090*c + 14085125 wrt c?\nAnswer: -4718090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let p be u(2). Let k be 2 - (113\/(-1))\/(-1). Is (-1)\/(6\/k)*p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1669 - -193. Let m be ((-6)\/4)\/((-27)\/o). Let t = m - -121. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 17, 0, 5, 52 in decreasing order.\nAnswer: 52, 17, 9, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 496 times -13\nAnswer: -6448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(68)\/(sqrt(32)\/sqrt(32)) + -3 - ((6*((4*sqrt(85) - sqrt(85)) + sqrt(85)))\/(-2*sqrt(605) - sqrt(605)))**2.\nAnswer: -1451\/121 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1970*l**3*y**3 - 18*l**3 - 3*l**2*y**2 + l**2 + 2*l*y**2 + 32*l - 1872*y**3 wrt y.\nAnswer: 11820*l**3 - 11232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*b*d**2*v**2 + 138*b*d*v**2 + 3921*b*v**3 + 2*d**2*v**3 wrt v?\nAnswer: 23526*b + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 820137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 4}. What is prob of sequence jbj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85635 and 113355?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**2\/2 - 423*d\/2 - 210 = 0.\nAnswer: -140, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 9:10 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 172*m**3 - 2*m - 410.\nAnswer: 516*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-266)\/(-6) + (-8)\/(-12). Calculate the highest common divisor of m and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -190 - -190 - (-160000)\/2. Let c(m) = 7*m - 5. Let x be c(5). Let n be (x - 7)\/(2\/i + 0). Round n to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478508622.\nAnswer: 2, 3, 17, 31, 41, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008754912 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 423507, 423506, 423505, 423504?\n\"Answer: -b + 423508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -11. Let s = 13 + g. Suppose -2*b - l + 14 = -20, -s*b + 4*l = -80. Solve 2*m = -5*f - m - b, f + 5 = -2*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Let s be (7 - -1)\/o - -5. Solve -w + 2 = 2*k + s, 18 = 2*k - 4*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3280988*o**2*t + 137*o**2 - 298*o wrt t.\nAnswer: -3280988*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2954 to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4716, -4355, -3990, -3621, -3248, -2871?\nAnswer: -2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-4 + 3 + 7. Solve w = -0*a + 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*g - 13. Let u = -3.2 - -3. Let w = -3.8 + u. Which is the closest to g? (a) 0.5 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -15*n**2 + 11*n - 10. What is g(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -63. What is the highest common divisor of 445 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22437737?\nAnswer: 7, 457913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007617 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317 + 4. Suppose -559 = -9*h - 46. Suppose 4*o - c + h = 0. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 1. Suppose 5*l = 5*p + 35, 2*l + 9 = -5*p - 12. Let g(h) = 12*h**2 + 4*h + 4. Calculate l*g(o) + 8*b(o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -65144*q + 132. Let a(u) = -8*u**2. What is n(a(x))?\nAnswer: 521152*x**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2873?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*z + 803166*z**3 - 193*z + 4564478*z**3.\nAnswer: 5367644*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322011 (base 7) to base 11.\nAnswer: -39014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 8*d**2 - 8*d - 3. Let m be w(6). Suppose 3*n + m = -0*n. Let h = n + 10. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 4*u**2 + 4*u + 4. Suppose -2*p + 13 - 1 = 0. What is the remainder when ((-6)\/4)\/(p\/(-104)) is divided by v(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19 - 5 - 6*s**3 - 2 + 36*s**3 wrt s.\nAnswer: 90*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2. Let h(n) = 32*n + 2. Let x(r) = -255*r - 17. Let p(c) = 34*h(c) + 4*x(c). Give p(g(t)).\nAnswer: -136*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25658075 is divided by 5031.\nAnswer: 5006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12237, -48938, -110107, -195744?\n\"Answer: -12234*b**2 + b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1246 and -31\/1283914.\nAnswer: 8987398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45682475413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 8 = -4*x + 2*a, 5*a + 21 = -3*x. Let d = -31517 - -31567. What is the remainder when d is divided by -1 - -4*x\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 244528 or 244521?\nAnswer: 244528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 34. Let m = 19 - x. Factor -2*d**4 + 2*d + d**3 + 3*d**3 - 5*d**m + d**4.\nAnswer: -d*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = -4*n - 5*j + 1016, -n + 160 = j. What is the remainder when n is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 6*h**2 + 4*h - 2. Let a(u) = -4*u**2 + 3*u - 2. Determine 4*a(v) - 3*c(v).\nAnswer: -3*v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 107 = -7. Let i be ((-58)\/(-3))\/(48\/(-72)). Let g = v - i. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82736 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 220, 270, 362, 508, 720, 1010, 1390?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 6*z + 4. Determine j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1605268729.\nAnswer: 1609, 997681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2831327 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 5*c)*(-7 + 4 - 2) - 3*c + 0*c + 5*c + c - c - 2*c.\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 + 331 = j - m, -2*m + 72 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 2242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 t when four letters picked without replacement from {t: 2, y: 7, v: 2}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7845 greater than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 736 = 69*f. Let b(v) = -v + 16. Let y be b(0). What is the greatest common divisor of y and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - -1) - -7 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -44*w. Let i(q) = 3*q - 20. Let d be i(6). Let s be h(d). Suppose -s + 24 = -4*p. What is the smallest common multiple of 18 and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (6 + -3) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1.635, -2\/3, 3, 0.07, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 41*r**2 - 5*r - 23. Suppose 97 = 45*z - 128. Let a(h) = -21*h**2 + 3*h + 12. Let i = -4 + 7. Let w(b) = i*t(b) + z*a(b). Differentiate w(x) wrt x.\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2 - 5 + 1 + 3*r. Let p(y) = y**3 - 4*y**2 - 5*y + 2. Let i be p(5). Let f be q(i). Solve -2*v + 8 = 3*d, f*d + 5*v = d + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/20 - (-14)\/14)\/(-36). Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1657, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*q + 2. Let u(k) = k**2 + 2*k + 3. Let s be u(-3). Let z = q - s. Let l(c) = c + 6. Calculate l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11408 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 385*(1 + -2 + 24). Suppose g = -2*p + 33933. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 12*j**2 - 2*j**2 - 4 + 0 - 9*j**2 - 3*j**2 + 3*j. What is u(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 655, 2644, 5965, 10618, 16603, 23920, 32569?\nAnswer: 42550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*l**3*u + 2*l**3 - 2*l*u + 13*l wrt l.\nAnswer: 642*l*u + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -62106 + 1463*q + 62106 as b + d*q and give d.\nAnswer: 1463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*k - 6 = -456*k - 630 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 + 2\/4. Let i be (-6)\/52 - (-2)\/12. Let y = -8\/13 - i. What is the nearest to y in -1\/8, l, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 8, v: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 867.\nAnswer: -2601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c = 7*c - 2*a - 33, -4*a + 9 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3768, 7338, 17030, 35904, 67020?\n\"Answer: 510*l**3 + l**2 - 3*l + 3260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5 - 5. Let x be (-2)\/l + (-110)\/(-25). Suppose 2*z = -x, -2*n + 5*n + 3*z - 3 = 0. Solve -3*m = n*w + 15, -2*m = -0*m + w + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 693*y - 338*y - 348*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 8*i**2 + 11*i + 20. Let a be w(-9). Suppose 7*s - 2*s = 4*n + 229, -2*n + 88 = a*s. Calculate the greatest common factor of s and 765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d - 19. Let l be u(-3). Suppose 3*k + 5 = -2*t, 5*k + l = t - 6*t. Solve t = -o - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1243 or 810?\nAnswer: 1243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -189\/2626 + 1\/13. Let h = 82.5 - 83. Which is the biggest value? (a) 0 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-189996)\/(-1) + 10*12\/30. Round l to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Let k be m(4). Suppose 6*x - 2 - k = 0. Solve -8 = -4*o, 9 = 4*d - 4*o + x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*a = -8. Suppose -5*c = -19 + 4. Let o be (-6)\/(-2) - (-3 + c). Solve -o = -a*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 8826339*d + 17652666.\nAnswer: 3*(d - 2942111)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 3.\nAnswer: -77\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - p + 132 + 80, -20 = 5*p. Suppose -l + x = 16. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56491 is divided by 10835?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 4*c**2 - 10*c - 7. Let t be a(-6). Let o be (-2)\/(-2 + t\/(-10)). What is the greatest common factor of o and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 5) to base 13.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1\/2 (c) -4838\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -72?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -43506.\nAnswer: 1\/21753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/6*15\/10. Let l(s) = -s + 1. Let x be l(w). What are the prime factors of 6 + x\/(-1) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 5*u - 180. Calculate the remainder when 102 is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/14*3)\/((63*9\/(-882))\/3).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103284 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000061029651 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwecllj. What is prob of sequence je?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842591?\nAnswer: 41, 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 5.29?\nAnswer: -3.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 80*o + 18. Determine l(-39).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1380, -3.933, -0.1?\nAnswer: -3.933","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -48. Let g = 12 + d. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -42*g - 12. Let a be d(-2). Suppose -5*z = -20, 6*z + a = 3*l + 3*z. Solve v + l = 5*p, 4*p + 2*v - 14 = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -972824*b**2 - 1300160*b.\nAnswer: -1945648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35805 and 4371?\nAnswer: 1682835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-2) + (5 - -943 - 19) a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/((-2)\/24). Let a = k - -5. Let p be (-6)\/(-1) + a + -1. Solve -p*n + 7*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -n + 25, u + 3*u + 5*n + 1 = 0. Let q(v) = -v**3 + 5*v**2 + 6*v - 3. Calculate q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s. Let q(c) be the first derivative of 2*c**2 - 10. Determine t(q(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 + 65 + 154 + 1 + -2 + -8?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*j = -10, 844*j + 4 = 846*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10718*h + 2. Let d(r) = r + 117. Determine d(y(x)).\nAnswer: 10718*x + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**6\/24 + p**3\/3 + 6*p**2. Find the first derivative of z(f) wrt f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 933 - 926. Calculate the highest common factor of 26 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1378)\/1040 + (-42)\/20*24\/(-42).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -9*s + 111. Let w(g) = -46*g - 1. Let h(m) = 137*m + 3. Let u(b) = s*w(b) + 6*h(b). Let a be u(-2). Are -79 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**2 + 6*s - 8. Let c be l(7). What is c rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 19 - 11 - 7 - y**2 + y - 3*y. Suppose 5*z - 2*k - 3 = 2, -3*z + 2*k = 1. Suppose -3*q + q = 5*c, -2*c = z*q + 11. Determine i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 645, 3309, 7749, 13959, 21933, 31665, 43149, 56379?\n\"Answer: -o**3 + 894*o**2 - 11*o - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*r - 33. Let t = 614 + -611. Calculate the least common multiple of t and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*u = 298*u - 214*u - 10165 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 4)*5)**2.\nAnswer: 1800*sqrt(5) + 10525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -1 - (-22 + 4 + 10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 11*o**2 + 2*o - 9. Calculate u(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -3 - (-1 - 0 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 3. Let y(x) = -325. Let v(z) = -18. Let l(o) = -91*v(o) + 5*y(o). Let n(m) = 16. Let w(r) = -6*l(r) + 5*n(r). Determine 4*g(h) - 6*w(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-10))\/(2\/(-48)). Let s = l + 14. Let k be 21\/4 + (-4)\/16. Put s, k, 1 in decreasing order.\nAnswer: k, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 8) in base 6?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 287 - 281 = 0. Calculate the remainder when 637 is divided by q.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 9*m**5\/20 - 11*m**4\/6 + 487*m**2 - 238*m - 9. What is the derivative of r(q) wrt q?\nAnswer: 27*q**2 - 44*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8721 and -241451236.\nAnswer: -241442515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4987269948461*u + 3*u**2 + 4987269948461*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45.0275 - -0.2125. Let p = x + 0.76. Let q = -46.00000185 + p. Round q to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -952 + 951. What is the second biggest value in -18, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121110 (base 3) to base 2.\nAnswer: 110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5636)\/(-20) - -5)*5. Round v to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215427 (base 11) to base 2\nAnswer: 1010011111101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 73678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0) + 0*5\/(-15). Let l be (10\/8 - 1\/h)\/3. Which is the second smallest value? (a) l (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70 or -1?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30465 or -28?\nAnswer: 30465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -13 + (-1 - (10 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/25 - 3\/(-5). Let h(w) = -5*w + 28. Let j be h(6). Let i(b) = b + 1. Let x be i(5). Sort j, f, x in decreasing order.\nAnswer: x, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 32492828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12510 divided by 1390?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11212221 (base 3) to base 8\nAnswer: 6752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19))**2*3*6*-6.\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8200 - -8193. Put u, -3\/35, 5\/4, -1, 1\/4 in descending order.\nAnswer: 5\/4, 1\/4, -3\/35, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a + 74440?\nAnswer: 74361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3273, -6549, -9825, -13101, -16377, -19653?\n\"Answer: -3276*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*y - 522 + 222 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**3 + 225175*s**2 + 63439605*s + 63214425 = 0.\nAnswer: -279, -1, 45315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= -11.33828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -910014*a - 1702017 with respect to a.\nAnswer: -910014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 30 = -10*p. Let g be 6\/4*16\/p. Suppose -4*z - 2*s = -0*s - 14, -g*z + 2*s + 10 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10*108\/(-5))\/(15\/(-50)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*u + 6. Suppose 0 = 2*h + h - 24. Suppose 0*r = 4*r - h. Solve 0 = 3*d - 4*m + 1 - r, -u*m = 3*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66195 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.13255 to 1 dp.\nAnswer: -57.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rupmr. Give prob of sequence ump.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -13 - 2. Suppose -4*m + 2*b + 1 = -t, -m + 2*b = -7. Let g(i) = -36*i**3 + i**2 - i - 1. Is g(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146975329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155212 + -59911897\/386. What is the common denominator of ((-2)\/4)\/((-20)\/(-122)) and a?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + (13 - (25 + -14)) + (16 - 9) + -3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1878\/(-18))\/(-3 + 140\/48). Suppose -19*d + a = -8229. What is the remainder when d is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -12*o - 2 + o**2 + 3 - 1. Does 6 divide i(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 13*h**2 + 41*h - 11. Give k(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2783*q**3 - 95*q**2 - 9*q.\nAnswer: -16698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1416221 and 1522.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 4*l**2 + 47*l + 116. Calculate d(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1904\/833 - 580\/266\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5261677, 5261676, 5261675, 5261674, 5261673, 5261672?\n\"Answer: -f + 5261678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -22. Let c = -17 + w. Sort c, -6, 2 in descending order.\nAnswer: 2, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 1\/16, 8, -4, -1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16252)\/187 + 87 - (-838)\/(-22).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 2. What is the remainder when l(5) is divided by -9 - -2 - -6 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 542, 529, 514, 497, 478, 457, 434?\n\"Answer: -r**2 - 10*r + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161672.\nAnswer: 2, 7, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -44\/7 (c) -5 (d) 2\/11 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 369 = -w + 52, -5*k - 4*w + 1060 = 0. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-63)*6\/15*6\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133056550.\nAnswer: 2, 5, 11, 241921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2 - r. Let s(k) = -k**2 - 11*k - 7. Let n be s(-10). Let h(d) = -d**3 - d**2 - d. Let q(u) = n*m(u) - h(u). Let q(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from hahaaaa?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/97 + 2431\/582. Find the common denominator of p and 101\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.020029*-3.\nAnswer: -0.060087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**6*x**(5\/6)*(x**1)**(1\/39)*((x*x**(-6)*x*x*x)\/((x*(x\/(x**(-9)\/x*x*x*x))\/x)\/x))\/(x**(1\/3))**(-3) assuming x is positive.\nAnswer: x**(-11\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 - -160. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -230096 - -86976173\/378. What is the common denominator of -53\/3 and q?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-2)\/1))\/(189\/63)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/(-36) - 5)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((-1*sqrt(88) - sqrt(88)) + sqrt(88)) - (sqrt(88) + 6*sqrt(88)*-1))*4)\/(sqrt(1000)\/sqrt(5) - (sqrt(392) + 1*sqrt(392))).\nAnswer: -28*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 17)*(-3 + 4 + 7)*(-6 + 1 + 3)*(4 - 2 - 3)*(14*r + 8*r - 26*r).\nAnswer: -1024*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 3 (b) 2\/7 (c) 1\/3 (d) 13706\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31062752 to the nearest integer?\nAnswer: 5573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*m + l = -24, 2*m + 5*l = -10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720068 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 23 + 7)*(-411*z**2 + 0 + 428*z**2 - 4 - 2*z).\nAnswer: -527*z**2 + 62*z + 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/637 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 3*x**2 + 2*x. What is the smallest common multiple of j(-4) and (-1)\/(-1*(-3)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 8*v - 2. Let q be k(-8). Let w = -9\/10 - 3\/5. Is w >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/30*-4276*10\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**2\/7 + 244*n\/7 - 1040\/7 = 0.\nAnswer: -65, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 61579*z + 492614. Calculate j(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.09 - -12.09. Put l, -33, 3, -3 in increasing order.\nAnswer: -33, l, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2\/3 - 13934*f\/3 - 13936\/3 = 0.\nAnswer: -1, 6968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 + 308*i + 2980 = 0. Calculate i.\nAnswer: -298, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 1:16 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 13*y + 4. Suppose -2*v + 4*v - 1 = -5*w, -2*w + 10 = 4*v. Suppose -7 - 17 = 4*x. Sort -1, y, v, x in increasing order.\nAnswer: x, -1, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10692 and -26897902409.\nAnswer: -26897913101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 415 and 35773.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 28 + -15 + -4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-33)\/(-6))\/(-11))\/(3\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*v - 156*v = -113*v - 7680 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 28a?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 71 and 1153\/16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*t - 6*t = 11, 18 = 4*w - 2*t. Suppose -4*d = -w - 86. Calculate the highest common factor of 242 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11765, 12088, 12375, 12626, 12841, 13020?\n\"Answer: -18*t**2 + 377*t + 11406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) 0.2 (c) -3 (d) -10015\/174 (e) 2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from smsmsssmssssssssssss.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**4\/8 + 703*o**3\/9 - 157*o**2\/4 - 469*o\/3 - 7458. Factor x(p).\nAnswer: (p - 1)*(p + 469)*(3*p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000032132 to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 956689492 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 7. Let w be d(-7). Suppose -r - w = -2*l, -2*l + 2*r = l - 13. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 9*p - 5. Suppose -16 = 4*s, 8*s + 2 = 2*o + 4*s. Let x be h(o). Is 29\/3 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 26. Let i = h + 89. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - (35\/(-15) + 5). Let t(r) = -2*r**2 - r. Let g be t(1). Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3639295*z**2 + 1819657*z**2 + 1819658*z**2 - 2.\nAnswer: 20*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 4 - (-3 + 8)) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*c**2*h**3 - 6*c**2*h - 46*c + 2*h**3 + 2 wrt c.\nAnswer: -18*h**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 15) to base 3\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1050) - sqrt(1050))*4*-5)\/(-2*5*(-2*sqrt(600) - sqrt(600)))*-2.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6345 - 6347. Let i(f) = -3*f**2 + f + 4. Let c(x) = -7*x**2 + 3*x + 9. Calculate o*c(t) + 5*i(t).\nAnswer: -t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -4, 10, 51.\nAnswer: -5, -4, 2, 10, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = -x, -6 = -5*x - 5*d + 34. Let o be (6\/x)\/((-90)\/(-315)). What is the closest to o in 5, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7986 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 0) + (30 - (28 + -8)) + (26 - -67)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**10\/b*b**21 assuming b is positive.\nAnswer: b**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1119 - 1123. Let f = 2.5 + -2. Which is the second smallest value? (a) s (b) 4 (c) -2\/9 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34464 divided by 6.\nAnswer: 5744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 3*g + 4. Let s = -7 - -4. What is the units digit of o(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2969500 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + 340255 = 340710 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 71.1. Is j at least 41\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 11. Let c be j(-14). What is the third derivative of -4*b**5 - 4*b**2 - 3*b**2 + c*b**2 + 8*b**5 wrt b?\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 123272*b - 1356038. What is x(11)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(1352\/91260)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 - 9 - -6)) + 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = -12. Suppose -2*j + 153 = 4*o - 41, -g*j = 2*o - 112. Let x = -1072 + 1089. Calculate the remainder when o is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 122*i**2 - 304*i - 17. Is s(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*d**3 + 147*d**3 - 48*d**3 - 49*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:13 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -282.\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2262 and 12398399.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/20 - l**4\/3 + l**3\/3 - 13*l**2\/2 + 12*l. Is 9 a factor of p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7*l + 5 + 18*l)*(-3 + 3 + l).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + -112. Suppose t = j + 1 - 26. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 + 2*u**2 + 13*u**2 - 22*u**2 + 13*u**2.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 569 = 30*a + 1252 + 193 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*s = 0. What is the first derivative of 1 + 2 + s + h**3 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Suppose -y*h + 13 = 5*z, -3*h - 4*z = -48 + 18. Let n be 81\/36 + 2\/(-8). Calculate the highest common divisor of n and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534447 is divided by 376.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = -8 + 44. Suppose g*r = 78961 + 97443. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62298 divided by 6\nAnswer: 10383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407.98015 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s - l - 87881 = l - 87819, 4*s - l = -7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43434*r**2 - 7*r**3 + 43434*r**2 - 54 - 2*r.\nAnswer: -7*r**3 - 2*r - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.9. Let x = s + -1.1. Let u = -1 + x. What is the second smallest value in 0.5, 3, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v = -t - 13*v, -4*t + v = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3229*c + 3208*c = -2 - 19. Is 37\/67 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 6 = 7*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let j(g) = -g**3 + 4*g**2 + 6*g - 3. Let s be j(5). Let i(r) = 3*r**s + 2*r**2 - 2*r**2. What is t(i(o))?\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 78 = -5*x, x + b - 24 = 3*b. Let u(y) = -1 - 42*y + 2 + 7*y + 16*y + x*y. Give u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215.4 + -215. Which is the closest to q? (a) -3 (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:52 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 21.2. Let f = y + -0.2. Let p = -3.7 + -1.3. What is the closest to 2\/5 in p, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6*-7*2556\/8946)\/(-71)?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, 43, 122, 233, 376, 551, 758?\n\"Answer: 16*g**2 - g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 11*k - 4. Let c be b(7). Let f = 215\/9 - c. Find the common denominator of f and -61\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -30?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovbo. What is prob of sequence ovo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.63 - 68.97. Let c = n + 67. Let t = c - -7.67. What is t rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 26*f**2 - 23*f - 800. What is the units digit of i(27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4826 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*c - 5, -x - 3*c = 2*c - 7. Suppose 6*z - x*z + 12 = 0. Let v be (-11280003)\/(-12) + z\/12. Round v to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y**3 + 15*y**2 - 6*y + 4. List the prime factors of p(5).\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-25 - 32) - 11.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.7 (b) -4 (c) -4\/3 (d) 4 (e) -8\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101101 (base 2) in base 10?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1)\/h))**(-2\/79)*h\/((h*h**(1\/7)\/h*h*h)\/h)*h*h**6)\/((h**(-2\/3))**41)**(-3\/8) assuming h is positive.\nAnswer: h**(-7673\/2212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*m - 4*p, p + 15 = 4*p. Let c = m - 4. Let w be (-6 - -4) + 5551*c. Round w to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from danmmln. What is prob of sequence da?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 2*g**7\/21 + 2*g**6\/5 - g**5\/5 - g**4 - 79*g. Factor p(z).\nAnswer: 4*z**2*(z - 1)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 + 57*m**2 + 28*m + 24. Suppose -88*p + 70*p - 504 = 0. What is the remainder when s(p) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/6 - 2467*c - 9964696\/3 = 0.\nAnswer: -13304, -1498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 4. Let m(b) = 30*b + 2 - 7 - 32*b. What is 3*m(g) + 4*s(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -178*c**2 - c. Let a be d(0). What is the second biggest value in -5\/61, a, 2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.685 - 21178.2\nAnswer: -21178.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.0983\nAnswer: 0.00983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -2576.\nAnswer: -1\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2794 divided by -11.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12296 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 + 0*a**2 + 2*a**3 + 1 - 4*a**3 - 2*a. What is the units digit of f(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 36*z**5 - 172*z**4 - 508*z**3 - 356*z**2 - 56*z = 0.\nAnswer: -1, -2\/9, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 7*o - 41, 5*o = 3*t - 17 - 72 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*z**2 + 4*z**4 + 16*z**3 - 14*z**2 - 32*z**2.\nAnswer: 4*z**2*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - 42. Let y be 1834\/10 + (-36)\/i + -4. Calculate the greatest common divisor of y and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 1\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a factor of 31799704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64 - -1) + 56\/(-28). Let f = -64 - r. Suppose -3*c - c = -12. Solve u + l = 4*u + f, -u + c*l + 13 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, x: 9, a: 1, m: 5}. Give prob of sequence ms.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21090059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + 3*b**2 - 2*b**2 + (0 - 1 + 2)*(5*b**2 + b**2 - 4*b**2) + 24*b**2 + 582*b**2 - 86*b**2.\nAnswer: 520*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (24 + -17 - -25)) + -1 + (4 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1338762\/918453)\/(10\/59).\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 10:12 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - ((-105)\/(-7))\/(-5). Suppose -5*r + 92 = 3*l - 483, 3*l = f*r - 487. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14635902 and 2.\nAnswer: 14635902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 equal to 2067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 3*z**2 - z. Let y be h(-2). Let r be 94\/18 - (-4)\/y. Suppose -r*n + 21 = -29. What is the greatest common divisor of n and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)*p**(-1\/5)*(p**(-1\/4))**(-3\/2)*((p**(-1\/3))**(-35))**(-33) assuming p is positive.\nAnswer: p**(-15633\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*p - 2*p. Solve 0 = 2*n - n + p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -4*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4*14\/112*(-3)\/(-12))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 193465*p + 1547704. Calculate o(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185363153.\nAnswer: 43, 83, 167, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 5*j - 5*d - 16, 14 = j - 3*d. Suppose 0 = -5*o + 15, -2*c + j*o - 7*o + 125 = 0. Calculate the smallest common multiple of c and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajrjarbjrbj. Give prob of picking 1 r and 3 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 2*s - 2. Let v(x) = 3*x**2 + 26*x + 42. What is the remainder when v(-9) is divided by r(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/8*1768\/13. What is the highest common divisor of h and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 3 + 0 + sqrt(3))**2 + ((-2*sqrt(3)*-1)**2 - sqrt(3)).\nAnswer: 11*sqrt(3) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4278 = 12380*x - 13093*x. Calculate the remainder when (0 + -1)\/(3\/(-450)) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q - 35*q = -7445511. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + -5 + 7 - 484. Let w = t - -488. Factor 0*i + 0*i**3 + 1\/2*i**4 + 0*i**w + 9\/4*i**5 + 0.\nAnswer: i**4*(9*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3057?\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.249 rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from mmommommmmommo?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*o - 8*o + 6*o + o**4 - 15*o**4 wrt o?\nAnswer: -168*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8\/u**5*((u\/(u*((u\/(u*u**(-2)))\/u)\/u*u)*u)\/u)**(-1) assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4*q - 23 = 0, 4*j + 16 = 6*q - 4*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33424434 (base 8) in base 12?\nAnswer: 2501b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-7))\/(1\/7). Let a(u) = 1 + u - 6*u**3 + 3*u**2 - 3*u**x + 5*u**3. Let f(q) = 6*q**3 - 3*q - 3. What is 3*a(o) + f(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -35. Suppose -a = 2*a - y. What is the least common multiple of a and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/110)\/((-327)\/2398).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7*z - 3*z - 8*z**4 + 3*z**2 + 128*z**3 - 128*z**3 to the form i*z**4 + b*z**3 + j*z**2 + f*z + n and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 335, 2 in ascending order.\nAnswer: -3, 2, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.6155 millilitres in litres?\nAnswer: 0.8606155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 2:49 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 12*m**2 - m - 55. Give v(12).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (445*p**2 - 471*p**2 - 8*p**3 + 19*p**3)*(3*p - 3*p - 4*p).\nAnswer: -44*p**4 + 104*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6*d = -112938. Let v = d - 20103045\/356. Let i = 2\/89 - v. What is the closest to -2\/13 in 3, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -k + 5*k - 14, 2*s + 3*k - 13 = 0. Let v(w) = w**s - 2 + 0*w**2 + 3 - 4*w + 0. Calculate v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzcccccccc. Give prob of picking 3 c and 1 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 8\/7*x + 0 + 2\/7*x**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 111780 = 10*u + 113132 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 11:07 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 269*h**2 + 271*h**2 + 4*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 23873.9077 to the nearest one hundred.\nAnswer: 23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*v + 633 = v, -v + 2520 = 4*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*o + 5, -2*o = -2*x - x + 5. Let i be o\/(4\/(-4)) + 1. Find the second derivative of v**2 + 3*v**3 - 3*v + 0*v**3 - v**i wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -59*z**3 + 26*z**2 + 28*z**3 + 30*z**3 + 28*z - 22. Let f be k(27). Solve -3*t + 12 = 2*p, 4*t = -f*p - t + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4869 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Suppose -t*c = -4*h + 11 + 1, c = 3*h + 3. Find the common denominator of (((-565)\/3)\/5)\/(0 - c) and 35\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -1\/8*q**4 + 0*q - q**3 + 9 - 3\/5*q**5 + 1\/60*q**6 + 2*q**2. Find the second derivative of p(u) wrt u.\nAnswer: 12*u - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 144.\nAnswer: -4, 2, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5060?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + 57. Let c(f) = f**3 - 8*f**2 - 7*f - 11. Let a be c(9). Suppose 2*y + a*y = d. Solve -y = -3*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 16189320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) 0.4 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1030, -982, -840, -556, -82?\n\"Answer: 8*c**3 - c**2 - 5*c - 1032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 30. Let w(j) = j**2 - 6*j + 5. Let k be w(6). Suppose -k = -h + 14. Calculate the remainder when h is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/93 (b) -0.08 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s - 4*i = 29, -s + 3*i = -8. Suppose -4*u - 4*c = -32, 31*u - 3*c + 6 = 28*u. Let n be u\/s - 2*66\/(-30). Solve -4*w - n + 17 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 13. Let n be g(0). Suppose -56*x + 3 = -59*x. Put -4, x, n in increasing order.\nAnswer: -4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = b - 3*x - 116, 4*b - 2*x + 12 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-9))\/5 + 0. Which is the nearest to z? (a) -2 (b) 0.06 (c) -0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -15. Which is the biggest value? (a) -5 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2715920 to the nearest ten thousand.\nAnswer: 2720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -24. Let z be (3 - 48)*16\/t. Suppose 3*d - 39 - z = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -4.7. Which is the closest to r? (a) 4 (b) 3 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*v - 2*g, 2*v - 40 = -2*v + 5*g. Let q(y) = 2*y + 3. Let d be q(6). What is the second derivative of -d*s**3 + 2*s**5 - 2*s + v*s**3 wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1 + (1 + 0 - 3)*(1 + 0 - 2) - 4 + 2 + 0)*(-1055*w**2 - 20 + 647*w**2 + 514*w**2) to the form o*w**2 + g*w + y and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -18795 rounded to the nearest 100?\nAnswer: -18800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/470 and ((-1032)\/(-108))\/(20\/(-6)).\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*v + 127*v - 2*s - 2 = 0, -15*v + 30 = -4*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 2*z + 26. Let r be 0*2\/8 - 0. What is the units digit of f(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 + 11*h**2 + 3*h**2)*(-42 + 10*h**2 + 42) - 4*h**4 + 0*h**4 + 5*h**4 in the form n + v*h**2 + k*h**4 + t*h**3 + q*h and give k.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u. Let g(h) = -h. Let x(t) = 3*b(t) - 21*g(t). Let z(m) be the third derivative of 2*m**2 + 0 + 5\/24*m**4 + 0*m + 0*m**3. Calculate z(x(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 4. Does 2 divide k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638487 less than 5638487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1519 - -1520. What is the closest to -5 in -2, i, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*sqrt(325).\nAnswer: -3 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 180.1069ug?\nAnswer: 0.1801069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052798 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 160, 347, 578, 835, 1100, 1355?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcm when three letters picked without replacement from {z: 2, k: 7, m: 2, c: 1, t: 1, d: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12)*d**(2\/15)\/d)\/(d*d**(-3))**(-35) assuming d is positive.\nAnswer: d**(-1243\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o**2. Let x(h) = 4*h. Give b(x(a)).\nAnswer: 192*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**3\/3 - 2*s - 16. Let j(w) = 13*w. What is n(j(v))?\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffc when three letters picked without replacement from cfccccfcccccc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let t(d) = 433*d + 139*d - 204*d. Give p(t(f)).\nAnswer: 368*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 359168529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2377937 and 186346?\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18324985 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - -5dc?\nAnswer: 5ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 492 and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5 + 11*l - 64*l**2 - 11*l - 13*l**2 as o*l**2 + y*l + u and give o.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -292 + 429. Let b be (1 + (-2 - 2))*-1. Suppose m = b*h - 4*t, h + 2*t - 78 + 19 = 0. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5235 - -5230. Which is the closest to -14? (a) -4 (b) 1\/36 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1809001 and 3164492?\nAnswer: 1136052628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28702 is divided by 72?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.133 and -5.24.\nAnswer: 0.69692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599546 divided by 3?\nAnswer: 599546\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -119. Let f = d - 93. Suppose -i + 240394 = 3*i - 3*b, 5*i - 2*b - 300496 = f. Round i to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3182 - -4700. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*u*z**2 - 4*u*z - 340741*u + 66*z**2 + 2*z wrt z?\nAnswer: 6*u*z - 4*u + 132*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akd when three letters picked without replacement from deaketm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 157*s**2 + 2 + 158*s**2 - 312*s**2 as l*s**2 + n*s + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 10 - (2 - 7 - 1)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2. Let f(k) = -47*k**2 + 12*k - k - 5*k - 13 + 7*k. Let r = 21 - 27. Let y(h) = 23*h**2 - 6*h + 6. Let x(i) = r*f(i) - 13*y(i). Give n(x(v)).\nAnswer: 289*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/7 in 6, -0.2, 2\/23, 0.3, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 729*d + 6607 = -5921 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -5*b**4\/3 - b**3\/3 - 228*b**2. Let d(r) = 2*r**2. Determine f(d(s)).\nAnswer: -80*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 8 + 76 = 0. Let w(y) = y + 14. Calculate the least common multiple of w(0) and (-32)\/(-12) + (-4)\/s + 15.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*x - 386*x = 2076. Suppose -5*l - 59 = -i, 5*i + 53*l - 49*l - 179 = 0. Calculate the remainder when x is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p - 2*g - 52, 0 = 5*p + g - 49. Solve 3*t + p = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(156) + sqrt(156) - sqrt(156))\/(sqrt(36)\/sqrt(3)*-6 + sqrt(12)).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -519 in 0.06, -86, -0.3, -2, -3?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 37 - 1. Suppose 314034 = u*w - 3*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by 3?\nAnswer: -196\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-55) - -2)*(6249\/(-29162) + 79\/42).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101101000111111000010 (base 2) to base 8.\nAnswer: 35507702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 125*b**2 + 11*b. List the prime factors of g(2).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12946013 - -5255171\nAnswer: 5255170.87053987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358218.\nAnswer: 2, 3, 7, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 28 - 139. What is the common denominator of -1 + w\/48*-1 and -47\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -20 + 35 - -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqtxtqqxqkqtt. What is prob of picking 1 k, 2 x, and 1 t?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -5*y**3\/6 - 3*y**2 - y - 2. Let m(c) be the first derivative of w(c). Calculate the least common multiple of 2 and m(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (3 + 6) - (16 - 4)) + -34.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/800028 and 119\/421740.\nAnswer: 132004620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102.817 and 0.2?\nAnswer: 20.5634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*(-10 + 13) + (-7)\/42?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0285213063 rounded to 4 dps?\nAnswer: 0.0285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 78\/(-91) + 54\/14. Put -31, v, -5 in increasing order.\nAnswer: -31, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 453 + 104?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5456 and 16120.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1312 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1340\/11 - 122. Let i = 0 + 0.1. Let k(q) = q**3 - 6*q**2 + 5*q - 2. Let a be k(5). What is the closest to a in i, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53014 + 0?\nAnswer: 53014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from hxhxhhhhxhhh?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -127.251 and -339 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + ((-8)\/50)\/((-2)\/(-35)). Which is the nearest to 1\/2? (a) -20 (b) 1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, and 1 l when three letters picked without replacement from wwzgilgzq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3294 = -24*v + 66. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753858507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 24*t + 27 = -21*t, 19*y + 17*y - 33*y - 28*t = -152 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (sqrt(1008)*-2)**2 - (sqrt(343)*-2)**2.\nAnswer: 12*sqrt(7) + 2660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 299*b + 3947. Determine l(-13).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 21. Suppose 3*b - 62 = -5*c, 0 = -0*b - 2*b + 3*c + 35. Let i be a(b). What is the derivative of 34*f**i + 14 + 17 - 7 wrt f?\nAnswer: 68*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:25 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmrzrrz. Give prob of picking 2 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 12. Let f be 5*(4\/4 + -2). Let r be g(f). Which is smaller: 4\/3 or r?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221 + -10010210001?\nAnswer: -10010222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**3)\/((t\/(t\/(t\/t**(-4)*t*t*t*t)))\/t)*(t\/t**(-1))**11)**(-35) assuming t is positive.\nAnswer: t**(-455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 + 203\/28*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1395 = 3*t - 0*t + 3*k, 0 = 4*t - 2*k - 1878. Suppose 0*d = -5*v + d + t, -3*v + 288 = -3*d. Let c = v - 24. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*d + 3898 - 127 = 72 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 27456625 divided by -219653\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 12*x**2 + 302*x - 5. Let l be h(-12). Suppose 3*f = 6*f + 519. Is l not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -20205?\nAnswer: 20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -644 - -641. Let t = -305 + 311. What is the closest to 0.1 in p, -4, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 6. Let a(j) = -j**2 + 17*j + 6. Let y be a(16). Let r = y + -20. What is the smallest common multiple of r and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + (-10)\/4)\/(14\/476). Let x = r + 385. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -11*h - 4*h. Determine y, given that 2\/5*y**2 + 0 + 2\/5*y**h - 4\/5*y = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 49211196.3s?\nAnswer: 81.36771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g + 0 + 21*g + 20*g + 22*g - 98*g - 46.\nAnswer: -6*g - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.24 or -1\/3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - n + 90592, -4*m + 19*n - 14*n + 72491 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2344 is divided by 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 1\/6, 2\/21, -109\/2 in decreasing order.\nAnswer: 14, 3, 1\/6, 2\/21, -109\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7) + 3 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/60 - (-5343569)\/105 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 116412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 20*k + 71. Calculate the remainder when 920 is divided by l(0).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 53638536?\nAnswer: 53638536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(85)*-2 + sqrt(85) + sqrt(85) + sqrt(85)*-1*6 + sqrt(85))*2)\/(3*-4*sqrt(5) - (sqrt(5) - 4*sqrt(40)\/sqrt(8) - sqrt(5))).\nAnswer: 15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24397076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -13 + (-9 + 14 - -18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - s**4 - 59*s + 59*s - 2 - 7*s**4 to i*s**2 + r*s**3 + c + m*s + g*s**4 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 + 2*o**2 - 3*o**2 - 6)*(2*o**2 - 4*o**2 + 4*o**2) as q + x*o**3 + n*o**2 + t*o**4 + p*o and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 + (-129 - -123 - (0 - 1) - -8)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 - -12)\/(-1*(-3)\/(-17937)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -16*m**2 - 307164 - 18*m + 7*m + m**3 + 307890.\nAnswer: (m - 11)**2*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.5844995 rounded to 1 dp?\nAnswer: 241.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/32*4)\/((-9)\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - v - 2. Let i = -3 - 0. Let q be s(i). Suppose o + 4*j = q, -5*o + 21 = -3*j - 6. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1002?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-56) - (-3)\/7. What is the units digit of (23 - 10)*(3 + y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000101010 - 101?\nAnswer: -10011000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*m**3 + 3*m**3 - 3*m**3)*(4 - 4 + 1) - 11*m**3 + 127*m**3 + 268*m**3)*(m + 4 - 4) to q + w*m**2 + n*m + a*m**4 + k*m**3 and give a.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/7, 0.561?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 939997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 33*j - 3. What is w(5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/15 - 55*w**4\/8 - 1099*w**3\/6 + 2243*w**2. Differentiate r(y) with respect to y.\nAnswer: 8*y - 165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*b**2 + 6*b**2 - 12 + 12 to p*b + c + f*b**2 and give f.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16 - (24 + -10))*19\/2. Solve 3*a = -4*p - 16 - 7, 0 = 5*a - 3*p + v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 47?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -175*p - 13536. What is b(-72)?\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4692 = -15*j + 18492. What are the prime factors of j?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105941833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*50\/2625)\/((-2)\/30).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*c + 4*x - 186, 2*x + 272 = -4*c. Suppose 38 = -4*o + 638. Let v = c + o. What is the greatest common factor of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 178. Let k(q) = 15*q**2 - 64. Let m(t) = 17*t**2 - 72. Let w(l) = 9*k(l) - 8*m(l). Determine w(p(y)).\nAnswer: -16*y**2 + 1424*y - 31684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103529*p + 385*p**3 - 103536*p + 207065*p.\nAnswer: 385*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10202115 (base 8) in base 16?\nAnswer: -21044d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -1 - 2. Let p = -13467\/7 + 1921. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1700 and 831332300.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*w - 32 = -508*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 3*b. Let f(m) = -5*m**2 - 8*m. Let t = 4 - -4. Let s(g) = t*u(g) - 3*f(g). Let d(y) = y**2. Determine s(d(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -7, -4, -20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 0.3.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20ae83 (base 15) to base 14.\nAnswer: 2c6d89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -148*q**3 - 21141*q**2 - 3098899 wrt q?\nAnswer: -444*q**2 - 42282*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 + g**5 + 0*g**5 + (1 - 1 - 3*g)*(-g**4 + g**4 + 2*g**4).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 8:56 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 14 = 50. Let s(d) = -d**3 + 12*d**2 + 5*d + 17. Let l be s(w). What is the greatest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3348 + 1675 = -3*k - 2*k - 1663 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 45*m - b = -538, -809 = -3*m - b. What is the remainder when m is divided by 87?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180 > 460374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1796277 divided by 11157.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2. Let d(z) be the first derivative of z**3\/3 + 518*z - 1502. Determine n(d(f)).\nAnswer: -2*f**4 - 2072*f**2 - 536648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 77. Give j(8).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -316302621*u**5 - 30963*u**2 + 1055 wrt u?\nAnswer: -18978157260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/24 - 5*o**5\/12 - 5*o**4\/3 - 10*o**3\/3 + 14*o**2. Factor l(h).\nAnswer: -5*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - 3.5. Let z = 7 - 6. Let p be (-4)\/10 + 0 + 0. What is the third smallest value in z, w, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511 times 5?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*a = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -11 - 5. Suppose 0 = -z*i + y + 44, 0*i + 2*i - 5*y - 4 = 0. Let a be (-13 + -2)*(-4)\/i. Solve n = -1 + a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 1 = 3, 2*i = 3*k + 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 588 and -0.07.\nAnswer: -41.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136451 and 12747.\nAnswer: 248477271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1104300 - 42411?\nAnswer: 1011334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/3 + 10*v**3\/3 + 10*v**2\/3 - 30*v + 24 = 0. Calculate v.\nAnswer: -3, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 11*g = -216. What is the remainder when g is divided by ((-7)\/3)\/(2\/(-12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -102, -2, 3, 726 in increasing order.\nAnswer: -102, -4, -2, 3, 726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 3335*b + 10002.\nAnswer: (b + 3)*(b + 10002)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127950.\nAnswer: 2, 3, 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15340595 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2 + 4. Let p(x) = 20*x**2 - 15. Let r(d) = -4*p(d) - 15*y(d). Let i(c) be the second derivative of c**4\/12 - 8*c. Calculate i(r(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -214 + 270 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -521466648 - 2?\nAnswer: -521466650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1090962 divided by 267.\nAnswer: -4086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292984*k**3 + 22*k**2 + 9037 wrt k.\nAnswer: -1757904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -507*w**4 - 4212*w**3 + 3303*w**2 + 1308*w + 108 = 0. What is w?\nAnswer: -9, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5\/11 + 10*z**4\/11 - 6*z**3\/11 - 34*z**2\/11 - 20*z\/11 = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/55, 2, -2\/7 in increasing order.\nAnswer: -2\/7, 0, 1\/55, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m. Let f be s(1). Let l be ((-5)\/(-2))\/(f\/40). Let t be (30\/l)\/((-6)\/(-20)). Calculate the highest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 94?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -0.03, 1.2, 4, 0.2, -4\/109?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 - -1.01. Let h be ((-9)\/(-54))\/((-2)\/(-8)). Let s = -3.8772 - 0.1228. What is the nearest to h in 4, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166013 divided by -22863?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4015*y + 917 = 4146*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 205*a**3\/3 - 3*a**2\/2 + a + 6. Is b(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/7, 3\/4, -5, 2\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/(3\/(-28)). Let t = i - 11. Let g(m) = 3*m**2 - 3*m + 2. Is 5 a factor of g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + l)*(-2 - 3*l**4 + l**4 + l**4) + l - l - 4*l**5 + (3*l - 3*l - l**2)*(-2*l**3 + 3 - 3).\nAnswer: -3*l**5 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18273 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184042412 and 4324?\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735786 is divided by 5109?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 887183076 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1265502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 5*t**3 - 31*t - 10*t**3 - 10*t**3.\nAnswer: -25*t**3 - 33*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -430) + (0 - -5). Find h, given that h**3 + 433*h - 5*h**4 - 2*h**3 + 5*h**2 - t*h = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -999661 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/4))**(-13) assuming k is positive.\nAnswer: k**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/5 - 75429*q\/5 - 8933568\/5.\nAnswer: -3*(q + 119)*(q + 25024)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -521 - 33?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102645, 102645, 102643, 102639, 102633, 102625, 102615?\nAnswer: 102603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.88 - 0.12. Let y = -9 + 12. Let o = y + i. Which is the third smallest value? (a) 0 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - 1 - (-103 + 96)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-1\/2)*o))**(-12)*o**4\/o*o**(-1))**(-11\/5) assuming o is positive.\nAnswer: o**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a**2 - 147*a + 1230*a - 11*a**2 - 1083*a.\nAnswer: -47*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0051 - -7.\nAnswer: 7.0051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2\/2 - 2284959*x\/2 + 1142481 = 0. What is x?\nAnswer: -761654, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 199104*n + 1194677. What is c(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*6*(-9)\/27\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8\/7)*l\/l**(-10) assuming l is positive.\nAnswer: l**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 3:04 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, -14, -45, -110, -221, -390, -629, -950?\n\"Answer: -2*q**3 + q**2 + 2*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 12*l - 18. Let i be z(9). Suppose 8*j = i*j - 5. Suppose j*p - 118 = 107. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15865108 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 + -50?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4*w**2 + 213*g**3*w**2 + 212*g**2*w**2 + 2*g**2*w - 26 wrt g.\nAnswer: 24*g*w**2 + 1278*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n. Let w(j) = -95*j. Calculate y(w(f)).\nAnswer: -190*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h + 59*h + 38*h = 108599. What are the prime factors of h?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + g - 3)*(-9 + 12*g + 9 + (0 - 3 - 6)*(5 - g - 5)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101 - 111?\nAnswer: -10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/6)\/(5\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26169?\nAnswer: 3, 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 101289202827?\nAnswer: 101289202823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -177445*s**2. Let l(j) = 4*j. Calculate l(n(t)).\nAnswer: -709780*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 <= 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 23496.\nAnswer: 70488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 12. Let t = 323 - h. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -20*m - 8. Solve 0*z = m*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -342, -329, -286, -201, -62?\n\"Answer: 2*q**3 + 3*q**2 - 10*q - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -1\/4, -187.114, -10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7987 and 42.\nAnswer: -7945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15988 + 57610. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/3)\/(3173\/19038).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0 + 0)*(-2*z**3 - 3 + 3) - 2*z + 2*z - z**4 + 23*z**4 - 4*z**2 + 21*z**4 - 43*z**4.\nAnswer: 4*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*j + 10, -2*n = -j - 13. Solve -3*x + 0*l = 2*l - 9, 5 = n*x + 5*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 5*r**3 + 1015*r**2 - 4120*r + 650. Factor j(u).\nAnswer: 5*(u - 2)*(3*u + 412)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6815 or 5541?\nAnswer: 5541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + 3 + (sqrt(180) - (sqrt(180) + 3)) + 1)*1)**2*-6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 27 (b) 0.1 (c) 61 (d) 82 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3 (b) 7 (c) -74 (d) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19760, -158373, -534598, -1267241, -2475108, -4277005, -6791738, -10138113?\nAnswer: -14434936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 368*q + 207*q - 1066*q - 1584*q + (4 - 3 - 5)*(2*q - 2*q - 3*q)*(-1 + 1 - 1).\nAnswer: -2087*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 475872507 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 334139 + -160863. Let s = -67724 - n. Round s to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 68696*t. Let n(j) = 22*j. Calculate h(n(p)).\nAnswer: 1511312*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*o - 7514 = 296*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 10*h - 217. What is the remainder when 825 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4627*o**2. Let g(a) = 21*a. Give i(g(q)).\nAnswer: 2040507*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -0.324?\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2. Let s = -4 + 6. Let u(p) = p**2 + 2*p - 3. Let t be u(-3). Let c(a) = -s*a + t*a + 3*a. Calculate c(i(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -757874, -1515748, -2273616, -3031472, -3789310, -4547124, -5304908, -6062656?\n\"Answer: u**3 - 3*u**2 - 757872*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -185 + 639 - 373 - 4*r**2 + 489 + 180*r + 654.\nAnswer: -4*(r - 51)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 9*q**2 - 8*q + 9. Let t be k(8). Let y = t + -2. Let h = -7 + 17. Solve -2*j - y*g + 3*g = -h, -4*g = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4063995734 to the nearest one million.\nAnswer: -4064000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 341.8 (b) 2.01 (c) -2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 6. Let g be w(0). Let p be 66 - 2 - 24\/g. Calculate the greatest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 13 = -2*v, 5*p - 3*v = -2*v + 16. Solve 6*a + 3 = p*k + 3*a, -28 = 4*k + 4*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -36. Suppose -138 = -3*s + 4*r, -r + 120 = 3*s + r. What is the remainder when s is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1119784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 4. Let j be v(0). Suppose -2*r + 12 = 2*r - x, -x + 4 = j*r. What is the units digit of (-1)\/(-4)*2*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 189*b**2 - 1736*b**2 + 2*b.\nAnswer: -1547*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29942.2 rounded to the nearest one hundred?\nAnswer: -29900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 + 0 = 0. Let z = u - 4. Find the second derivative of z*y - y - y**4 + 0*y**4 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 5*j. Let u be d(-9). Suppose 4*a - 104 - u = 0. Calculate the remainder when a is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12033 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1010111010111101 (base 2) to base 15\nAnswer: -d3c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -27, -1, 23, -11 in descending order.\nAnswer: 23, -1, -3, -11, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2352978 and 270729.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + ((-6533)\/(-1410) - (-1)\/5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/2 - 38*o**3 - 27*o**2\/2 + 999*o + 2052 = 0?\nAnswer: -3, 6, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26635550 by -18058.\nAnswer: -1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 0.3. Let c be -4 + 5 + ((-36)\/10)\/3. Let p = 3\/26 - 79\/234. What is the nearest to p in b, -3\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/4 - b**3 + b + 1. Let y be (-2)\/(-5) - 8\/(-5). Suppose -y*z + 30 = -5*t + 3*z, -3*t - 21 = -4*z. Determine o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433 a factor of 15778005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iys when three letters picked without replacement from ssysyiyssissxyss?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4 and 6\/1923349?\nAnswer: 7693396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + sqrt(243)*-1.\nAnswer: -9*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 476543229815 and 5.\nAnswer: 476543229820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + -6 + 5 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 23 - 124*o**2 - 44*o**2 + 42 - 77*o + 12. Let u(d) = -13*d**2 - 6*d + 6. Let z(r) = -77*u(r) + 6*w(r). Let p(q) = 2*q**2. Give z(p(m)).\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1101010010010010101110 (base 2) to base 7\nAnswer: 41413634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvyyvvvvwvvyvyyyh. What is prob of picking 1 y and 2 v?\nAnswer: 27\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2 - 6 - 2 - 2*k + 1. Let a be x(-6). Suppose 2*t + a*t + 10 = -5*w, -12 = 4*w. Is t <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1010 divide 1736488960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -596, -1541, -2834, -4457, -6392, -8621?\n\"Answer: 3*f**3 - 201*f**2 + 3*f + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12896293 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - b - b - 6 = 0, 3*b + 5 = -w. Let o be w\/((-9)\/2) - (-21)\/(-27). Let a(n) = n + 8. Let h(y) = 1. Let f(c) = o*h(c) - a(c). Determine f(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * -4.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 353.552032\nAnswer: 35.3552032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {n: 1, o: 6, a: 3, z: 5, u: 4, v: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 141.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 3. Let u be ((-10)\/(-4))\/(-15*(-4)\/144). Suppose -7 = -u*h + 17. Let l be a(h). Is l bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 - 6*g**4 + 6*g**3 + 12*g**2 - 3*g - 6 = 0 for g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 = 6*d + 5*o, 0 = -5*d + 1195*o - 1196*o - 125 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 3*s**2 + 171*s + 522. Let a be q(-3). Factor 15\/2*t**2 + a*t**3 + 3\/2*t**4 + 0 + 0*t.\nAnswer: 3*t**2*(t + 1)*(t + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(105\/10*((-1056)\/(-36))\/22).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1139*z - 987*z - 760 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.1714 nanometers in millimeters?\nAnswer: 0.0003071714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 384\/(-112)) + (-2)\/(-14)*-3. Sort 2, 73, y, -2.\nAnswer: -2, y, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4351 is divided by 2171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + 2*d**2 - 4*d - 6. Let x be u(-4). Let i(a) = -18*a - 8. Let k be i(4). Let l = k - x. Calculate the remainder when l is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 104 or -655?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 289. Suppose 4 = 4*t, 7*g - 5*t - l = 2*g. Let o = g + -27. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*j**4 - 2*b*j**2 + 328*b*j + 5*j**4 + 234*j**3 wrt j?\nAnswer: 48*b*j + 120*j + 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65307 = 912*r + 67845 for r.\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158264 is divided by 10513.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + b - 6, -2*n + 4*b + 6 + 10 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, f: 9, g: 1, k: 5}. Give prob of picking 1 g and 1 h.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2258628483.\nAnswer: 3, 17, 263, 168391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27783, -111111, -249973, -444369?\n\"Answer: -27767*x**2 - 27*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*f + 685 = 0, 0*z + 518 = 4*z + 2*f. Let k be 4\/(-24) + 10\/z. What is the closest to -1 in k, -6\/5, -5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 5:33 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(399\/66 - 6). Let r = 28 + d. Calculate the greatest common factor of 85 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:59 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1368 and -7\/3762.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -253, -241, -207, -139, -25?\n\"Answer: 2*m**3 - m**2 + m - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 2\/505, -4 in increasing order.\nAnswer: -4, 2\/505, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**2 + 85*n - 38. What is m(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261403678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -405 - -2228. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 2*p**2 + 3*p + 5. Suppose -6 = 5*d + 14. What are the prime factors of g(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**4\/2 + 195*r**3\/2 - 13449*r**2 + 275220*r = 0?\nAnswer: -139, 0, 30, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let u(g) = -6*g + 7. Determine 5*u(j) - 35*z(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 840 = x. Suppose 5*z = 4*q + 471 + x, 0 = -3*z + 5*q + 377. What is the highest common factor of z and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229174082 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 + -71. Calculate the remainder when 76 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*u - 34 = 0, -2*u = 242*l - 238*l - 42 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let m(u) = -u**2 - 46*u - 499. Let y be m(-19). Which is the closest to x? (a) 3 (b) y (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r - 207. Let f be d(-15). What is the units digit of f\/(-10) - (-48211)\/370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/25 of a kilogram?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*n - 54. Suppose 35*l = n*l + 35596. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 37174193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/48 and 107\/252.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9 (b) -5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/11)*q)\/(q\/(q*q\/(q\/q**9)*q))*(q**0*q)**(-11\/4) assuming q is positive.\nAnswer: q**(347\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*i**3 - 2*i - 4*i**2 - 9*i**2 + 13*i**2 + 2 to a + m*i**2 + d*i**3 + j*i and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-102*t - 136*t - 760*t - 48*t)*(-t + 2*t - 5*t) to the form r*t + f + w*t**2 and give w.\nAnswer: 4184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1592.3 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 4. Let a(k) = k**3 - 7*k - 13. Let r(w) = w**2 - 18*w - 146. Let c be r(-6). Calculate c*a(p) - 7*i(p).\nAnswer: -2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 11 = 11. Let p(u) = u**2 + u - 6. What is p(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19588, -19586, -19584?\nAnswer: -19582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 - 300*l + 2284. Determine a(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 41. Let i = 58 - l. Calculate the highest common factor of 90 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 + 6*n + 12. Let t(p) = -5*p**2 + 11*p + 23. Determine 4*t(v) - 7*x(v).\nAnswer: v**2 + 2*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25041?\nAnswer: 3, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 71*i**2 + 799*i + 56. Calculate y(-57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c = 21. Let p be 91\/26*(1 + c). Suppose -98 = -5*u - g, -2*g - g + p = u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386*c = 405*c + 57. What is the nearest to -9 in 7, 1\/6, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29969 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4\/13 + 7344*n**3\/13 - 87754*n**2\/13 - 314700*n\/13 - 219600\/13 = 0.\nAnswer: -2, -1, 15, 3660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 12 - 24 + 19*l**3.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17855417*g**4 + 8031*g**2 - 107*g - 3?\nAnswer: -428530008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 990461107 less than 0.137?\nAnswer: -990461106.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002035990975 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) -241 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-6) - 3\/((-45)\/(-25))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 20*v - 37. Let r be x(22). Let p(k) = k**3 - 6*k**2 - 5*k + 14. What is the remainder when 40 is divided by p(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.94 + 0.06. Let w = 194.1 + -7.1. Let q = w + -192. What is the biggest value in q, -7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 63 = k - 0*k, r + 5*k - 26 = 0. Calculate the remainder when 122 is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/6572 and 11\/514259.\nAnswer: 2057036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 3190978*t**2 + 4 - 3190978*t**2 - 4.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003327 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-2))\/((-120)\/(-336)). Let n(j) = 690*j - 209. Is n(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -3\/5, 232\/3, -35.279 in decreasing order.\nAnswer: 232\/3, -3\/5, -4\/3, -35.279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*1 - sqrt(7))**2 - (-1*sqrt(1008))**2.\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggbeyhybugy. Give prob of sequence ggyb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) - (-671)\/22. Let r be (-7536)\/n + 2\/10. What is r rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1666107, 3332189, 4998257, 6664305, 8330327, 9996317?\nAnswer: 11662269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3594657 divided by 1198219\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 16 + -8 - -25) + 12 + -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p + 12. Calculate w(12).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59999.\nAnswer: 59999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 45 = -5*b - 0*y, -b - 4*y = -9 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 9. Suppose 0 = -2*w - m*g + 114, 5*g = -7 + 2. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**5 - d**3 - d**2 + 1. Let l(t) = -7*t**5 + 6*t**3 + 4*t**2 + 40*t - 6. Let b(f) = -l(f) - 6*x(f). What is the second derivative of b(p) wrt p?\nAnswer: 20*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1373736 and -53\/981240.\nAnswer: 6868680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 94 - 107. Let y = h + -118. Let x = y - 50. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46 + 88 + 25*k**4 - k - 46 - k**3 wrt k.\nAnswer: 300*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00754069764 to 6 decimal places.\nAnswer: -0.007541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 0.3 (b) 3\/4 (c) -0.02 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 44?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 698 - 221 = 5*s + 4*k, 288 = 3*s + 3*k. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -70\/187, -16 in descending order.\nAnswer: -70\/187, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, e: 5, m: 2}. Give prob of picking 3 a and 1 m.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.853318ug to grams.\nAnswer: 0.000000853318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809396?\nAnswer: 2, 3, 50261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1560 + 1559 + 51*a - 3121 + (3*a - 2*a + 0*a)*(-1 + 0 + 2) + a - a - 2*a.\nAnswer: 50*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1246 + 3110. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006730197 rounded to 4 decimal places?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/20 + g**5\/15 - 5*g**4\/6 + g**3 + 21*g**2. Does 16 divide n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1976899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (15 + -17 + 25 - 19).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/6*(-2)\/3. Suppose -n*t - 16 = -t. Let k(m) = -m + 6. Let h(g) = -g + 5. Let a(f) = -5*h(f) + 4*k(f). Calculate a(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*m**2*n**2*y**3 + 3275*m**2*n**2*y**2 + 82*m**2*n*y**3 - 3*m**2*y**2 - 10*m**2*y - m*n*y - 2*n*y**3 - n wrt n.\nAnswer: -28*m**2*y**3 + 6550*m**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:57 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1060782509\/1486826 - -274\/39127. Let q = m + 892\/19. Let o = -690 - q. Find the common denominator of 33\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -294 + 291 + (5 - 3) + (0 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + -3 + sqrt(20)\/sqrt(160).\nAnswer: -3 + 13*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1045854905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z + 3*z + 5*u - 13, -z + 4*u + 55 = 58 + 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7543 = -280*o + 1663 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*b + 6546 = 25950. What is the greatest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9218 + -9177 - (-1 - (0 + 20))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7*l + 3*f + 510, 0 = -l - 4*f + 145. Suppose -i + d = -4*i + 92, -4*d = 5*i - l. Solve 9 = -4*b + i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/(-14) + -2)*2. Let o = -821 - -855.3. Let m = -34.5 + o. What is the closest to 2\/7 in n, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 466\/7?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3849686396 to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4155 + 6324 = -3*d - 3*h, 4*h = 0. Let z = d + 34981\/10. Calculate the common denominator of -133\/12 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1 + 12 - 24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:36 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r + 6. Let m be (-1 + 2\/r)\/(22\/(-66)). Calculate the highest common divisor of m and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + -4) - (1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269 + -276. Let r be 19 + 11 + o + -7. Solve i - 3*i + 2*l - r = 0, 3*i = -3*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + 46*t + 0*t**2 - 3*t**2 - 11*t**2 + 20*t**2.\nAnswer: -t**2 + 46*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 1, u: 1}. Give prob of picking 1 p, 1 b, and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -559.04356542 + 550.243564. Let f = 8.8 + y. Round f to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 13*n + 22 = -8*n, -1 = -4*r - n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -52 - -24*(-5)\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 + 183*n = 0 for n.\nAnswer: -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -49 - (16 - (14 + 1))) + 17 + -20.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10835 is divided by 172?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.34 or 6264?\nAnswer: 6264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.31 - -15.31. Which is the fourth biggest value? (a) 4 (b) 5 (c) -4 (d) -5 (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8 - -1.8. Which is bigger: c or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 1.3. Let w = -46 + 46.4. Sort w, v, 4 in ascending order.\nAnswer: w, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.3. Let h = 2.99 + 2.01. What is the nearest to -0.1 in v, -5\/4, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**4\/12 - d**3 + d**2. Let t(a) = a + 1. Let z be t(6). Is j(z) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4305 and 0.5.\nAnswer: 4305.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**5\/2 + 87*z**4\/2 + 297*z**3\/2 - 87*z**2\/2 - 150*z = 0?\nAnswer: -25, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*k - 2518 = -670 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 9973 in descending order.\nAnswer: 9973, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(n - n + n**5) + (2*n**4 + 2*n**4 - 2*n**4)*(4 + 5 + 3)*(1 + 1 + 268*n + 101*n).\nAnswer: 8858*n**5 + 48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 - 4 = 3*o, -18 = -3*v + 4*o. Suppose 2*t + v*t = 0. Suppose t = -4*k + 52 + 108. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -731\/21 (b) 0.5 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/6)\/(-1)*-3. Find the first derivative of -3 + 4*f - d + 2 wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 96943, 387749, 872433, 1551001, 2423459, 3489813?\n\"Answer: f**3 + 96933*f**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 + 171.9. Let r = t + -9.9. Which is the closest to -1? (a) 1 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*u + 15 - 69*u + 13 + 29*u - 9.\nAnswer: -2*u + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 0)\/(-10)*(3 + -3). Suppose 5*i + s*i - 77 = 4*a, -i + a = -16. What is the greatest common factor of i and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 5:49 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*t)*(0 - 5 + 3) + 2*t - 2*t + t + (-3*t + 0*t + t)*(-5 + 0 + 4).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 60189 and -29940.\nAnswer: 30249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -826666827 at most -826666826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/4 and (-2 + (-322)\/(-160))*8060\/(-416)?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 23 = h, -2*k - h - 13 = -2*h. Calculate the remainder when (-2 - k)\/((-6)\/(-4)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 155*c + 18569172 = -159*c, 9284628 = 2*x + 4*c. What is x rounded to the nearest ten thousand?\nAnswer: 4640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 157*h + 12819. Determine d(-82).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 34*k + 37. What is t(34)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 12. What is the nearest to 0.1 in -0.3, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.89 - -1?\nAnswer: -30.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 + 45*x**3 - 16*x**3 + 44*x**3.\nAnswer: 62*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*v, u = -4*u + 4*v + 82. Suppose 2*f = 3*f - u. Solve -4*n = 2*z - 20, -4*n = 3*z - 10 - f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76870 and 55.\nAnswer: 845570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - v**2 - 5. Let z(g) be the first derivative of 3*g**4\/4 + 2*g**3\/3 + 11*g + 79. Give 7*r(f) + 3*z(f).\nAnswer: 2*f**3 - f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2745100186 to the nearest one hundred thousand.\nAnswer: 2745100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from llbgbbuub.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 - 102.9312. Let s = 57.6312 + g. Let v = s - 58. What is the second biggest value in v, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 343 + -320. Solve 2*k = -5*a, -2*a - h = -3*k + 2*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/16 and -159\/934990.\nAnswer: 7479920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let s(g) = -g - 4. Let d(w) = -3*w - 3. Let o(l) = -4*d(l) + 3*s(l). Give o(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10618479?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2. Let z(l) be the third derivative of -7*l**6\/240 + l**5\/30 + 11*l**4\/3 - 112*l**2. Let c(u) be the second derivative of z(u). Give q(c(v)).\nAnswer: -441*v**2 + 168*v - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 - -350?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**16*l*l\/(l*l**(-11))*l assuming l is positive.\nAnswer: l**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2364, 5052, 8320, 12468, 17796?\nAnswer: 24604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1250)*-2)\/(sqrt(10)*-2*1))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) -2\/9 (c) 932\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 3*m - 1. Suppose 0 = r - 2 - 6. Suppose 5*s = -5*b + 20, 4*b + 5*s - r = 10. Is w(b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 q when three letters picked without replacement from kkkqiiqkk.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3076*i**3 - 27*i**2 + 3. Let w(n) = -15786033*n**3 - 138555*n**2 + 15395. What is -15395*b(d) + 3*w(d)?\nAnswer: -3079*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -663 divided by -221.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30545 and 158260.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20101 (base 10) in base 11?\nAnswer: 14114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 1:05 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k + 28. Suppose k*s - 8 = 3*s. What is the remainder when s is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*q - 18, 5*q - 5 = 5*j + 35. What is the closest to -0.2 in -0.4, 2, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 8*p**2 - 7*p + 8. Let u be b(7). Let f = 3 + u. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/8*((-33)\/3 + 10)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((-16260)\/560 + 15)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 28*z. Let j be y(5). What is the highest common factor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*((-11)\/13*-5 + -4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/17 - 8578842*s**3\/17 + 9199570547028*s**2\/17 - 9199510495160*s\/17 - 55197371809200\/17 = 0.\nAnswer: -2, 3, 2144710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 782553, 782549, 782543, 782535?\n\"Answer: -j**2 - j + 782555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -5)*4\/(-14). Suppose 12 + 24 = 12*l. Which is the third smallest value? (a) l (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -287 + 617\/2. Find the common denominator of -2 + (0 - (-23)\/(-16)) and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w + 5. Let d(f) = 5*f - 25. Let i be d(6). Give o(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 6. Suppose 3*x + 23 = 5. Let f = x + 6. Let o be a(f). Which is bigger: -7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750405 by 150081.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, d: 3, s: 10, t: 3}. What is prob of picking 2 s, 1 c, and 1 t?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = 14. Let t = 4 + g. Let x(u) be the third derivative of u**6\/120 + u**5\/20 - u**4\/8 - u**3\/2 + 6740*u**2. Determine x(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 783. Let q = v + -37. Is 224 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*s - 3276 = 0, 6*s - 7*s = -4*y + 3264. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 67*a**2 + 109*a - 1383. Determine s(-65).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0*u + 6 + 2*u - u. Suppose 3*l - 25 = -7. Let p(d) be the second derivative of -d**2\/2 - d. Calculate l*p(h) + f(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s - 40. Let k be w(11). Suppose -2*d + k*d = 48. Suppose -3*n - 2*h = 1, 4*n - 4*h - d = 8. Solve -1 = -3*o - 2*b, 14 = -5*o + n*b + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98309710 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 10. Let p = 11.1 + g. Let a(d) = d**2 + 7*d + 2. Let u be a(-7). Put p, 4, u in ascending order.\nAnswer: p, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77743387?\nAnswer: 3931, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.1, -5, -4, 4\/7 in ascending order.\nAnswer: -5, -4, -0.1, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e04 (base 15) in base 3?\nAnswer: -111120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -16, 0 = -4*c + 2*c - 2*v + 1680. What is the remainder when c is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 divided by -1069.\nAnswer: -536\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 237574374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354110 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 9:02 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386.8 + -387. Suppose 2*r - 4*i = -20, -3*r - 4*i + 6*i = 18. Let v = -4\/7 + -16\/21. What is the smallest value in x, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 - -183.332. What is s rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 - 7 = 0. Differentiate -2*t**2 + 2*t + j - t - t with respect to t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/90 and 25\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 579.6522 * 4.\nAnswer: 2318.6088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 5*k - k)*(0*k + 3*k + 16*k)*(0 - 1 - 1) - 64*k + 64*k - 37*k**2 as z*k + l*k**2 + n and give l.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12888, -59295, -185250, -430527, -834900, -1438143, -2280030?\n\"Answer: -6629*m**3 - 4*m - 6255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, t: 1, i: 6}. Give prob of sequence atii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 8*h**2 - 6*h + 6. Let x = 22 - 18. Suppose 2*c = x*c + 3*w, -3*c + 11 = -w. Suppose 16 = -c*j - 5. Give b(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((-27)\/(-3))*2\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-769 - -776) + -7 + (1 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/(-24))\/((-1)\/(-2)). Let f(w) = w**3 + 5*w**2 + w + 10. Let r be f(h). Solve -5*d = q + q - 35, -5*q + 50 = r*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11589719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-8))\/((-126)\/(-168))*-7\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 699. Let w(p) be the third derivative of p**4\/24 + 1286*p**2. What is w(k(a))?\nAnswer: a**2 + 699","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from vqzqgqqglqqyqqz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 + 410 = -w. Let t = w + 256. Solve 0*x**t + 4\/3 + 14\/9*x - 2\/9*x**3 = 0 for x.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -23323*1.45\nAnswer: -33818.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - ((0 - -1) + -23). Suppose -m + 35 = g + 4*m, 5*m + t = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**5\/15 + p**4\/8 + p**3\/3 - 3301*p**2. Let m(k) = 7*k**2 - 5*k - 3. What is 6*m(v) + 11*u(v)?\nAnswer: -2*v**2 + 3*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s**4 + 710*s**3 + 4185*s**2 - 8510*s + 3600 = 0.\nAnswer: -40, -9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 - 17*q**2 - q - 3. Let d(n) = 4*n**3 - 20*n**2 - n - 3. Give 6*d(x) - 7*g(x).\nAnswer: -4*x**3 - x**2 + x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 - 21*q + 6. Determine w(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1\/3054625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5)*b*b)**(1\/46)\/(((b**(1\/4)\/b)\/b)\/(b*b**(-1\/4))) assuming b is positive.\nAnswer: b**(113\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1547)\/(-260) + 24\/(-3) + 2\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 89.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-5 + 9 - 64\/(-1)). Let p be (1 + -2 - 6)*(-20)\/i. Let l = 64 + -54. Solve -l = 3*b + p*m, -b + 4*b + 5*m = -16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602059?\nAnswer: 1602059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627263530?\nAnswer: 2, 5, 19, 101, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23501630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*a - 6 + 48*a + 6 in the form b + o*a and give o.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000213816525 to 7 dps.\nAnswer: 0.0002138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -361\nAnswer: 53\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-1))**(8\/3)*(u**(2\/5)\/u)**14)\/((u**(-1\/2)*u*u\/(u**(3\/5)*u))\/(u**(-6)\/(u\/(u*u**(-2\/21))*u))) assuming u is positive.\nAnswer: u**(-1553\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-18))\/((8\/2)\/(-48)))\/(-10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 45 - a**2 + 33*a + 19 - 32*a to the form p*a + o*a**2 + v and give v.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12010067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -11.478039.\nAnswer: -2.2956078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -93*x**3 - 4*x**2 - 2*x - 1. Let d(b) = -b**3 - 2*b**2 - b. Determine 6*d(l) - 3*p(l).\nAnswer: 273*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a + 6. Let n be a - (-1 + 4 + -4). Solve -k + n*k - w + 4 = 0, -10 = 5*k + 3*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n = -2950000. What is n rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + y**5 - 3*y**5 + (-2*y**2 - 3 + 3)*(1577*y**2 - 108*y**3 - 1577*y**2).\nAnswer: 215*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from xcxrb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4404 divided by -4404\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136716739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10138 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3380 - 3380.000001663. Round o to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 185763200 to the nearest one million.\nAnswer: 186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-39 + 3*n + 39)*(-2 + 3*n - 2*n + 0*n) as a*n**2 + u + r*n and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3368935223.\nAnswer: 59, 83, 127, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + k - 1. Let m(g) = -7*g**2 + 9*g + 3. Let l(z) = m(z) + 3*w(z). Solve l(h) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1094, 4, -12, 1, -627 in ascending order.\nAnswer: -1094, -627, -12, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + c - 1. Let i = 139 - 138. Let k(x) = 0 - 3 + 6*x**2 + 6*x**3 - 1 + 11*x. Let z(r) = i*k(r) - 5*p(r). Calculate z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89aa4 (base 15) in base 3?\nAnswer: -211020112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*x = -541*x + 425*x - 645*x - 3408 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3017152 * -0.3\nAnswer: -905145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -33, -76, -137, -216, -313?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26009833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 18. What is the remainder when 20 is divided by 3\/(-18)*2*t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**3 + 5*l - 21*l**3 - 5*l + 104*l**3 - 55*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4565 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3525, 7138, 10767, 14412, 18073, 21750?\nAnswer: 25443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 608*o**3 + 5*o**2 + 15*o. Let k(h) = 305*h**3 + 3*h**2 + 8*h. Calculate 5*k(y) - 3*z(y).\nAnswer: -299*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 4 - (0 + -4). Suppose 3*i + 5*t - 16 = 0, -o*t - 2*t - 11 = -i. Is 8 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p - 3 + 1\/2*p**2. Determine g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*s + 37 = 0, -3*y - 2*s = -3 + 11. Let v be (10\/2)\/((-6)\/y). Solve 0 = -4*z + 3*k - v, z + 5*k + 2 + 5 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 104*j + 9 - 6 + 3 - 5. Let v = 6 + -4. Is i(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 16*z**2 - 1\/120*z**6 + 0*z - 1\/24*z**4 + 0*z**5 + 2\/3*z**3 + 0. What are the prime factors of r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**5 + 5*k**4 - 1102*k**3 - 6810*k - 7.\nAnswer: 40*k**3 + 60*k**2 - 6612*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 126*r**2 + r - 4. Let i be c(2). Let x(a) = -502 + a + i. Let u(s) = -12*s. Calculate x(u(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4060 and 97\/12266420.\nAnswer: 85864940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3\/8))**(-44))**(18\/11))**48 assuming z is positive.\nAnswer: z**1296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 + 3 + 2 - 5*y**2 + 2*y**2 in the form d*y**2 + v + g*y and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 7. Let p = 17 + -17. Suppose -5*j + p*j + 4*u = 23, -4*j - 5*u = 2. Calculate the remainder when k(j) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:11 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/136 and -24\/187?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 90725516?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10899, -21796, -32695, -43596?\n\"Answer: -p**2 - 10894*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 4*y**2 + 12*y - 46. Let b(j) = 30*j + 94. Let z be b(-3). Let l be i(z). Solve 3*c = 5*o - 11, -l*c - 2*c + 32 = 5*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0*v**3 + 0*v**3 + v**3 - v**2 + 9*v**2 - 4*v + 11. Let k be u(-8). Let p = 50 - k. Solve 4*d - 4*o - 12 = 0, -5*d - 3*o + p = -0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32319 minus 0.09217477?\nAnswer: 32318.90782523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*l - 7 = 206*l - 4*f, 3*l - 3*f + 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:41 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1075*d*i**3*t - 6*d*i**2*t + d - 821*i**3 + i wrt t.\nAnswer: -1075*d*i**3 - 6*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 + 7*i. Let g(w) = -4*w**2 - 4*w. Let f(a) = 5*g(a) + 3*r(a). What is f(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)*-2)\/sqrt(9))\/((sqrt(60)\/sqrt(5))\/sqrt(6)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 32, 11, 0, -4, -23 in ascending order.\nAnswer: -23, -4, 0, 2, 11, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*h + 22 = -2*h, -5*q = -4*h - 72. Suppose -11*r - 11015 = -q*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 24*b + 190. Let x = -92 - -86. Let f = 30 + -17. Calculate the remainder when q(x) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -16*c**2 + 1336*c + 10131. What is s(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 98*p = -94*p - 10, -4*p = -2*r - 12. Which is the nearest to 4? (a) 9 (b) 13\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 7. Let n be b(-5). Let x(w) = w + w - 2*w**2 + w**2 - 2*w**n - 2 + w**3. Calculate the least common multiple of x(4) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let z be y(5). Suppose 0 = -4*r - z*o + 61, -2*r - 7 = -3*r - 4*o. 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 {p: 2, a: 3, z: 5}. What is prob of picking 2 p and 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, y: 3, k: 6, b: 6}. Give prob of sequence yyn.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11023221*d**3*f - 241486741*d**3 - 4*f wrt f.\nAnswer: 11023221*d**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6488 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100116926.\nAnswer: 2, 7, 13, 151, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221140 is divided by 15794?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -54657*s. Let o(y) = -6*y. What is o(h(j))?\nAnswer: 327942*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 d, and 1 m when four letters picked without replacement from mmddmddmddddddmemdd?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:05 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -114*l**2 - 5*l + 3. Let h be u(-3). Let x = h - -6115\/6. Let i = 34305\/182 + -1296\/7. Calculate the common denominator of i and x.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 0*i**6 + i + 0*i**7 + 1\/2*i**3 + 0 - 1\/6*i**4 + 25\/28*i**8 + 0*i**5 + 0*i**2. Find the third derivative of a(h) wrt h.\nAnswer: 6000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/24 + o**2\/2 + 2*o. Let l(s) be the first derivative of f(s). Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crnbaxr. What is prob of picking 1 c and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + 2 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91364759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 d when four letters picked without replacement from {u: 3, d: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**3*v*v**5)**(-25) assuming v is positive.\nAnswer: v**(-275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1434340820 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**3 + 163*q**2 + 24*q**2 - 482*q**5 + 148*q**2 - q**3 wrt q?\nAnswer: -28920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 0.8. Let l be ((-3)\/(-5))\/(3 - 0). Let d(u) = u - 11. Let o be d(7). Which is the smallest value? (a) o (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, q: 2}. Give prob of sequence aa.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3018 + 3022 = -20*c + 6010, 0 = -3*k + c + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 2, -28 in ascending order.\nAnswer: -28, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2*p**3\/63 - 16*p**2\/21 + 128*p\/21 + 15. Factor l(u).\nAnswer: 2*(u - 8)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 39657730.\nAnswer: 436235030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 5*g**2 + 2*g + 6. Suppose -27 = 5*l + h, 0*l - 4*l + h - 18 = 0. Let t be p(l). Which is the smallest value? (a) 0 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-780)*3)\/(8\/20).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 1\/4*z + 1\/2 - z**2 - 3\/4*z**3 = 0?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3716 + 3732. Let p = -276 + 446. Calculate the smallest common multiple of g and p.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**3 + 164*j**2 - j - 16. Let h(o) = 15*o**3 - 491*o**2 + 3*o + 44. Calculate 4*h(c) + 11*m(c).\nAnswer: 5*c**3 - 160*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 54 = n, -149*n - 22 = -13*w - 292*n + 146*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(9\/(-27)). Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Suppose -2*h = -0*o + o - 125, -326 = -5*h + l*o. What is the remainder when h is divided by (2\/(-4))\/((-3 + 2)\/22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -5\/12*g**4 + 0*g**2 - 3\/8*g**5 + 112*g + 0 - 1\/12*g**6 + 0*g**3. Suppose n(d) = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 - 7*f. Let m(s) = -13*s**2 - 13*s. Calculate 6*m(l) - 11*x(l).\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/12)\/(2\/40). Solve u = -4*u - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36048.1 + 36047.8. Let v = -3 - -2. Which is the nearest to 1\/3? (a) x (b) -46 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, n: 1, x: 1}. What is prob of picking 3 l and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6215 by 10.\nAnswer: -1243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 2. Suppose -8*i - 50 = -3*i. Let k be (-2*1)\/((-4)\/i). What is the units digit of m(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149 - 147. Let b(k) = -359*k - 5. Let h be b(-4). Suppose 7*y + z*y - h = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 28*m - 25*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6773)\/585 + (-2)\/9. Let x = 11 + f. Which is the nearest to 0.1? (a) x (b) -2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 56. Let a = 57 + -49. Suppose 0 = -a*s + 4*s + o. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 14*t**2 + 11*t - 2. Let a be g(-6). Solve a*x - 20 = -s, -2*x + 5 = -4*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**4 + j**2 - j + 2. Let t(b) = 525*b**4 + 2*b**3 + 1714*b**2 + 3*b - 6. Let l(z) = 3*a(z) + t(z). Find the third derivative of l(u) wrt u.\nAnswer: 12672*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, 0, 36, 8, -6.\nAnswer: -6, 0, 2, 8, 14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaqe when four letters picked without replacement from {e: 2, j: 2, q: 4, a: 1, y: 2, x: 4}?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3\/3 + 1094*q**2\/3 - 29438*q\/3 + 64702 = 0.\nAnswer: 11, 17, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -428504, -857007, -1285510, -1714013?\n\"Answer: -428503*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/242498 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 4, 0.258.\nAnswer: -3\/8, 0.258, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from rrrmrjwo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 31*k**2 + 27*k + 73. Calculate p(32).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 5*b + 9 = 0, 0 = 2*w - 5*b - 8. Let n be 0 - (14 - 1 - w). Let t be (-2 + (-24)\/n)*-7. Solve d - 4*p - 1 = 0, d - 2*p + t - 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 0 in increasing order.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.674 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.1, 3, 120?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 25\/1957, 143\/7?\nAnswer: 25\/1957","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgbrglststlsssbr. Give prob of picking 2 l and 2 t.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 10*a**2 + 5. Let r be s(10). Let j be 2 - (12\/r - 0). What is the second biggest value in j, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 102*x + 2. Let m be q(1). Let u = m + -38. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 2*q - 71. Suppose 3*f - h - 1 = 0, 5*f + h - 5*h - q = 0. Which is greater: f or 2\/127?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 13. Let l be t(-9). Suppose 5*p - 19 + l = 0. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274576459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 14*n - 9. Is w(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 + -112. What are the prime factors of (-3)\/((-5)\/((-900)\/a))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4777907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2615.5 and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 607 + 11*x - 2*x**3 + 4*x**2 - 604 + x**3. Let q be f(6). Let v be (-1)\/((-2)\/(-3)) - (27 + -30). Which is the nearest to q? (a) 0.2 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -88 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1 - 66 = 0. Let h = 18 - q. Suppose -3*x + 103 = p + p, -h*x + p = -150. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101 - 111100100010100111?\nAnswer: -111100100001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -889*s + 984*s. Which is the closest to s? (a) -2\/25 (b) -4 (c) -1\/7 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-1 + 2))*-1. Let m be (-1 - (3 - 1))*i. Suppose 8*r - m*r - 3*g = 33, 4*r - 5*g = 29. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 47, 114, 229, 410?\n\"Answer: 3*d**3 - 3*d**2 + 25*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-336)\/(-15) + 4\/(-10). Suppose 0 = 4*u - 5*x - s, 0*u - 5 = -3*u - 2*x. What is the lowest common multiple of 13 and u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -1, -10 in ascending order.\nAnswer: -10, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1369*y - 17*y**2 - 2727*y + 1358*y.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 519746677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/32 and -103\/2047320?\nAnswer: 8189280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 3*d**2 + 14*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 871698987 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: What is next in 198143, 198144, 198145, 198146, 198147, 198148?\nAnswer: 198149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/124 and 63\/283064.\nAnswer: 8774984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbqcqhccccfbhfqf. Give prob of picking 2 c, 1 h, and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -114\/8867?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2)*(-1 - 5*j + 0*j + 3*j)*(-3*j - j + 3*j) in the form v + k*j**2 + b*j and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - o + 1. Let b(z) = -18 - 3*z - 2*z**3 - 14 + z**2 - 14 + z**3 + 50. Calculate b(t) - 4*h(t).\nAnswer: -t**3 - 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 6. Suppose -p - 6 = -a, -a = a + 4*p + 6. Let s be 1\/a - (-78)\/(-18). What is the least common multiple of b(s) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 38. Let q = 41 - i. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 400 = 3*h, 2*w = 4*h + 8 - 544. Does 34 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.1. Let w = 117 - 198. Let m = -82 - w. Which is the closest to m? (a) 5 (b) o (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43013763 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxx when three letters picked without replacement from lllxxllxllll?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 1:11 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 l, and 1 w when four letters picked without replacement from {w: 5, x: 6, h: 2, l: 2, i: 3}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 162 (base 7) to base 5\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003642815 rounded to six decimal places?\nAnswer: -0.000364","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 4*x - 7. Let i(w) = -1. Let v(f) = -6*i(f) + p(f). Determine v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6281.1 - 6281. Which is the smallest value? (a) 2\/11 (b) m (c) 8 (d) -4 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17456 is divided by 842.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 5*y + 6. Suppose 3*u - 4*u = -6. Let o be n(u). Suppose 44 = 2*t - o. Solve -37 = -4*l - 5*h, l + 3*h - t + 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1090980 divided by 5\nAnswer: 218196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 87? (a) -2 (b) -4 (c) 2.2 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 40667 (base 9) to base 3\nAnswer: 1100202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (215*u**4 - 111*u**4 + 68*u**4)*(-3 + 4 + 3 - 3 + 3 + 2 + (1 - 5 + 3)*(-1 - 2 + 1)).\nAnswer: 1376*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(75))*-1 + 3.\nAnswer: -5*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*d = -132*d + 3*u + 18, 0 = d - 5*u - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -0.006 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -19*w**3 - w + 1. Let v = -25 + -40. Let o be (-4 + v\/(-15))\/((-2)\/(-6)). Give g(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3 - 2*o**2 - o**2 + 4*o**2 + 5*o. Let y(l) = -l**2 - 4*l + 3. Let k be y(-4). Let i be -1*(k + 0) - 2. Calculate m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -4, 2, 39150?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.3 - -8.3. Let h be (-178)\/(-56) - 1\/(-4). Let g = h + -69\/14. Which is the nearest to 2\/3? (a) 5 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t = 0. Let i be (-7 - 153\/(-18))\/((-14)\/(-4)). Does t = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669.118 millimeters in micrometers?\nAnswer: 669118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Let f(n) = 13*n + n**2 + v - 2 - 6*n - 4. Let p be f(-9). Solve -4*u - 3 = p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(-4\/3)*d)\/d*d)\/(d*d*(d\/((d*d**(1\/21))\/d*d))\/d))**27 assuming d is positive.\nAnswer: d**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -572, -477, -1 in ascending order.\nAnswer: -572, -477, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001 + -1140?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16191 = -3*i + 3*f + 16146, 0 = 10*i - 83*f + 880 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25883315 > 25883314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 + 47. Let p be 24\/13 + (-4)\/h. Suppose 4*y - 3*m = 167, -4*m - 79 = -p*y - m. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-8) + (-12)\/8)\/(-1). Solve n = -2*k + 10, -5*k - 2*n + 12 + 12 = o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -11 (b) 0.4 (c) 71 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (((128\/24)\/(-2))\/(176\/24))\/1.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14882*n. Let p(o) = -9*o**2. Give c(p(b)).\nAnswer: 133938*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 1\/20*k**5 - 1\/6*k**3 - 1\/12*k**4 + 0 + 0*k**2 - 31*k. Let m(q) = -3*q**3 + 6*q**2 + 4*q + 1. Give -4*d(c) - m(c).\nAnswer: -c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-107)\/535)\/(1 + (-22)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26640*n**3 + 10*n**2 + 542053*n.\nAnswer: -159840*n + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 2*l**10\/945 - 2*l**9\/945 + l**8\/1680 + 3*l**4\/4 + 8*l. Let w(z) be the third derivative of k(z). Factor w(b).\nAnswer: 4*b**3*(4*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*k + 2, l - 24 = 5*k - 3. Let p(o) = -2*o**2 - 11*o - 9. Let q be p(l). Solve 3*d = -q*a + 6, -2*d - 2 + 1 = -3*a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5fa3 (base 16) to base 15.\nAnswer: -73c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -53, -3, -10, 125, 20 in increasing order.\nAnswer: -53, -10, -3, 0, 20, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6104*m**3 - 2*m**2 - 2662*m wrt m.\nAnswer: 36624*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - l = -2 + 1, w + 1 = l. Solve w*m - 20 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17957, -35913, -53869?\n\"Answer: -17956*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 19821 - 4982 = 0. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16723 rounded to the nearest one hundred?\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/11 and -64\/771.\nAnswer: 8481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-858)\/2652)\/1*20\/(-11)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/30 - s**4\/8 - 7*s**3\/6 - 57*s**2 + 2*s. Let j(y) = -3*y**2 - 5*y - 13. Give -4*j(c) + 7*t(c).\nAnswer: -2*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 9:53 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 21, 42, 67?\n\"Answer: 2*s**2 + 11*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 125023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 + (7 - 1) + -7 - (466 - 453).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -1110112001010?\nAnswer: 1110112000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 6) to base 2\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-324)\/18)\/(96\/12*-1).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/18356?\nAnswer: -1\/18356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -801126 by -400563.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*l + 463 = -263, -3*l = -a + 238. What is a rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*l + 5 + 8 = 24, -4*l + 32 = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25726 = 317*s + 39040 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qibfufb. Give prob of picking 2 q, 1 i, and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -17494.\nAnswer: 1\/8747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4326239?\nAnswer: 4326239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*d + 8 = 2*d, -17 = -3*u - d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11332 + -3648. Is l at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 11*y + 6. Suppose 4*s - 3*c + 28 = 0, 0*s + 10 = s - 5*c. Let i be 20\/(-50) + 106\/s. What is the remainder when 15 is divided by l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52610 by -26305.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-90)\/(-63))\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*c - 3\/4*c**3 - 3\/4*c**2.\nAnswer: -3*c**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/6 + 11167735*w**2\/2 + 18707784841545*w\/2 + 392861840017115\/6.\nAnswer: 5*(w + 7)*(w + 3350317)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhqx when four letters picked without replacement from {e: 1, x: 1, h: 9, q: 2}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*2 + sqrt(198))*1)\/(-6*-4*sqrt(539)).\nAnswer: 3*sqrt(2)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 923 - 3677\/4. Let m(z) be the first derivative of r*z**2 - 2 + 9\/2*z + 7\/6*z**3 + 1\/8*z**4. Find d, given that m(d) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.888 rounded to 2 decimal places?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239042809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.96 - -0.04. Let b = 24\/13 - 129\/91. Sort b, z, 2\/7 in decreasing order.\nAnswer: z, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 332246220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -180 + 1050972?\nAnswer: 1050792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/32 and -73\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d = -6786. Is d\/(-27) - 12\/(-54) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9195 and 20276127.\nAnswer: 20285322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 3, x: 4, f: 2, h: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18972, -18950, -18914, -18864?\nAnswer: -18800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 56. Suppose 4*g - 22 - u = 0. What are the prime factors of (1*-2 - 0) + g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002492 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11*g)\/(g**(-4)\/g) assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkkkukkkku. Give prob of picking 1 u and 2 k.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {f: 6, t: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12419098.\nAnswer: 2, 293, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*j - 323*j**2 + 52*j + 0*j)*(-3*j + 8*j - j + (4*j - 4*j - 2*j)*(1 - 1 - 2)).\nAnswer: -2584*j**3 - 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9151 take away -4.1?\nAnswer: 9155.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368 is divided by 154.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4 + (-113)\/(-156))\/((-5)\/(-30))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*l**2 - 32*l**2 + 56*l**2)*(-l**2 + 3*l**2 - l**2).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4\/5, -3, 7951, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q + 7. Let j(g) = 7*g + 7 + 8 - 5*g - 18. Calculate -5*j(w) - 2*z(w).\nAnswer: -4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/6 - 5*v**2\/6 + v\/3 + 4.\nAnswer: -(v - 2)*(v + 3)*(v + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x - 36 + 72 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*v - 10*v + 3*v)*(-307 - 284 + 212) + (v + 3*v - 3*v)*(3 - 1 + 0) - 2*v + 3*v - 2*v - 4 - 2*v + 4 to l*v + c and give l.\nAnswer: -11750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -367.1 - -367. Let v(p) = p - 6. Let o be v(5). What is the closest to 2\/7 in m, o, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:58 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9303, 18604, 27905, 37206?\nAnswer: 46507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - h + 20. Let r be o(0). Suppose -4*u + 7 + 7 = 3*y, -5*y = 2*u. Solve r = -u*w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b611e27 + -5?\nAnswer: -b611e2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27\/(-9) + -4 - -5. Let u(t) = t**3 - t**2 - 2*t. Determine u(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*q - 1432. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1693+-0.6\nAnswer: -1693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2054 at most as big as -2054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25448 is divided by 1013.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -86. Let p = 59.1 + h. Let n = -0.1 + p. Which is the second smallest value? (a) n (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3595690 and 64\/7905?\nAnswer: 183380190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59809815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 37239027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1039*j**4*y**2 + 18*j**4 + 2*j*y**2 - 2*y**2 - 31807 wrt j.\nAnswer: -12468*j**2*y**2 + 216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9511 + -401?\nAnswer: 9110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-27))\/(260\/39)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-38)\/209 - -2*46\/22. Solve -2*c = w + 3, -5*c + 1 = -2*w + g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156579219 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (sqrt(112) + -2))**2*1 + 5 + -2 + 4 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 0 - 11 - (2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/12)\/(2\/(-36)). Let b(o) = -o**2 - o. Let f be b(-5). Let d be (16\/f)\/((-1)\/10). What is the greatest common divisor of d and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9616\/7 - (-10)\/35. Let d = p + -739. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Let h(j) = -j. Let k(f) be the second derivative of -5*f**3\/6 + 3*f. Let i(m) = -4*h(m) + k(m). Calculate i(c(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*z + 1, 3*z + 13*i - 14*i = -13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 156 = -9*a. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/9 (b) 1.2 (c) 2\/5 (d) -191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 15*x - 32. Let b be l(3). Let h(z) = z**3 - 21*z**2 - 21*z - 20. Give h(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-601067)\/330*68\/(-1566). Let t = y - -1\/11745. Let j = -79 + t. Are 1 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 13 = -4*k, -279*a - 25 = -284*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1456)\/130)\/(-7)*((-12920)\/(-16))\/19\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30996623 and 2043.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -209*q - 836. Let u be l(-4). Solve u = -3*r + 2 - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15089 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -6404, 0.17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-623 + 623 + 107*b)*(4*b**2 - b**2 - 2*b**2)*(-2 + 2 - 2)*(0 + 1 + 0) in the form a*b**3 + s*b + o + t*b**2 and give a.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**4\/4 - q**3 - 2*q**2 - 3*q - 1. Suppose -2*j = -t + j + 7, -49 = 3*t + 5*j. Let i be (-8)\/2 - 16\/t. What is d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*f - 2 = -4*f, -2*f = -2*j + 16. Suppose -7*p + 2*p + 55 = 3*q, -q + 45 = -5*p. What is the highest common factor of j and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5767 - 5762. Put -1\/2, 3\/2, -0.094, 2, d in ascending order.\nAnswer: -1\/2, -0.094, 3\/2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5194, 5083, 4972, 4861, 4750?\n\"Answer: -111*c + 5305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*90.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6954249326?\nAnswer: 2, 197, 433, 40763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 287713.35 microseconds in minutes?\nAnswer: 0.0047952225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -284*g - 13. List the prime factors of i(-3).\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 5216, 3 in descending order.\nAnswer: 5216, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*m - 132*m + 203250 = 0. What is the thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -61*i - 14. Suppose -j + 34 - 37 = 0. What are the prime factors of s(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191924 is divided by 95868?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -186*v. Let i(f) = -158 + 77 + 2*f + 81. Calculate i(s(q)).\nAnswer: -372*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*i + 2575 = 0, -4*i - 1078 - 974 = -4*t. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21562.\nAnswer: 2, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 117191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/6)\/l**(-1\/12) assuming l is positive.\nAnswer: l**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -105227225280 plus -371?\nAnswer: -105227225651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (4712\/2340 - -1). Let d = 3829\/2340 - x. Find the common denominator of -77\/20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-8))\/(9\/36). Let p be j*-1*(-21)\/(-3 + 6). Suppose 189 = 7*u - p. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198337 is divided by 1926.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-21))\/(12\/(-54)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 times -12273\nAnswer: 3559.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9355 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 255*h**2 + 255*h**2 + 167*h**3.\nAnswer: 167*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -8854922 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 352242 (base 7) to base 12\nAnswer: 30720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 4*b - 13, 105 = 3*m + 4*b + 68 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (116\/9)\/29*6\/(-4). Which is the second biggest value? (a) j (b) 27 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u**2 + u)*(6*u - 5*u + 0*u) - 12*u + 12*u + 4*u**3 - 5*u**3 + 3*u**3 + u**3 + (-3 + 3 - u)*(-2*u + u**2 + 2*u) - 4*u**2 + 4*u**2 - 2*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 = -13. Let w be u\/7*7*1. Solve 3 = 2*o - 0*o - c, 0 = w*o - 5*c - 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27354 * -8.74.\nAnswer: 239073.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -14) + 11 + 0 + (-2 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 less than -1925103978?\nAnswer: -1925103958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-143) + ((-2538)\/1683)\/(-3).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 4*h - 7. Let a(b) = -311626*b + 155814*b - b**2 + 6 - 2 + 155814*b. What is 11*a(y) + 6*k(y)?\nAnswer: -5*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 2. Let s be r(-3). Let g = s + 1. Let v(o) = -2*o + 2. What is v(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8862*i - 53172. Let g be k(6). Find m, given that 2\/9*m**4 + g*m**2 + 0 - 58\/9*m**3 + 0*m = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 8*k + 3*y + 87, -2*y + 66 = 2*k. Solve -k = -4*n - 5*p, -n + p = -4*p + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -9. Suppose n - 14 - h = 0. Suppose j - l - n = 0, 2*j - 3 - 34 = 5*l. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/70 - 468\/(-616)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h**2 - h. Let k be f(-1). Let u be 1\/((-2 - 1)\/(-3)). Calculate the greatest common factor of k and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 19*g + 24. Determine n(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/19 (b) 7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + t + 134 + 247 = 0, -203 = -2*u + 3*t. Calculate the remainder when u is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2483*x + 1245*x + 1237*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {m: 1, d: 1, x: 2, t: 1, y: 1, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/4 - (-4)\/(-8). Suppose -19 = c*a - 43. Differentiate -8*v - 3 + 3 + 6*v - a wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466217 divided by 4?\nAnswer: 3466217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 7*r + 8. Let i be p(-6). Suppose 0 = -m - i*q + 3*q + 20, m = -5*q + 20. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**4)\/f)\/(f**3*f)*f**(2\/47)\/(f*f**0) assuming f is positive.\nAnswer: f**(-45\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 14 = 4. Suppose -5*v = -35 - b. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3 (c) 17 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27195 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1329017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9711*u + 9779*u = 1088 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*v = 2*x - 187, 5*x - 280 = -2*v. Let m = 111 - 71. What is the remainder when m is divided by (-256)\/(-18) + (-12)\/x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5932 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/8)\/(-3)*3\/(-9)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4\/5 + 159693406*b**3\/5 + 95816046*b**2 + 479080234*b\/5 + 159693412\/5 = 0.\nAnswer: -1, 79846706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36404 divided by 3.\nAnswer: -36404\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 321758147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 - 4 - (2 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*14*4\/(-8). Suppose -131*z - 6 = -128*z. Let n(d) = 13*d**2 - 7*d. Let p(v) = 4*v**2 - 2*v. Determine r*p(t) + z*n(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4717332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/105 and 181\/90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 6*h + 192 = -26*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o - 2*u - 17 = 0, -o + 8 = -3*u. Let h = -0.13 + 0.03. Which is the second biggest value? (a) o (b) 1\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*p + 13277 + 35530 = 543*p for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -5*p + 3*m, -3*m = -p - p + 147. Let z = 4256 - 4253. Calculate the least common multiple of p and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216599.3 micrograms to milligrams.\nAnswer: 216.5993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -5*v - x, -3*x + 58 = -4*v - x. Is 0 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/12 - -1)\/(42\/(-27342)). Put 10, x, -1 in ascending order.\nAnswer: -1, 10, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -2 (b) 5\/4 (c) -246 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y - 256. Let k be h(43). Let i = -17\/2 + 9. Solve 0 + k*g**2 - 3\/2*g - i*g**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/24*6)\/((-19)\/(456\/(-9))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -221*m**6\/40 - 8123*m**3\/6 + 711*m**2. Find the first derivative of o(d) wrt d.\nAnswer: -1989*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9379 + 0.404823093.\nAnswer: -9378.595176907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - 3.97. Let o = -0.08853 + 0.18853. What is the nearest to o in 0, u, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(5244\/(-322)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*v + 461 - 106 = 0, -v - 5 = 0. Let u = -261\/4 + c. Put u, 0, -4 in decreasing order.\nAnswer: u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = 325 - 361 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -3 + 4 + -2. Suppose -f - y + 1 = 0. Let c(o) be the third derivative of o**5\/15 + o**4\/24 + 7*o**2. What is c(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 0 + 0*m**7 + 0*m**6 + 0*m**2 + 0*m**3 + 1\/28*m**8 + 4*m + 0*m**5 + 1\/4*m**4. What is the third derivative of t(x) wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/4 of a week in hours?\nAnswer: 3822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0588978261 rounded to 3 dps?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(60)\/sqrt(4))\/sqrt(5) + 0.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 80 = 2*r - 31*d, d + 81 = 2*r. What is the remainder when 124 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 19*r**9\/252 - 33*r**5\/10 + 9*r**2 - 7. Find the third derivative of x(y) wrt y.\nAnswer: 4560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 286.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.035251493 + 60.415689493. Let q = h - 12.380401. Let r = -48 + q. Round r to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h - 92*h**2 + 0*h + 196*h**2 + 6*h - 95*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969*h**2 + 1917*h**2 - 1078*h**2.\nAnswer: -130*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5605 = 1417. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26379*j + 61775.\nAnswer: 26379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 38 - 46. Solve y - 6 = -g*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188546 (base 10) to base 11.\nAnswer: 119726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 27*f + 6. Determine s(28).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 0*x + 2*x**2 - 2 - 2\/3*x**3. What is the second derivative of o(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubbu when four letters picked without replacement from {h: 1, r: 1, n: 4, b: 7, o: 2, u: 3}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*t**4 - 1 + 268*t**4 + 2*t**3 + 4*t - t**2 - 132*t**4 as m*t**4 + n*t**3 + k*t + b + q*t**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w**8*w)\/w*w*w**(-2\/5)*(w*w\/(w*w**(2\/17)*w))\/w*w**(3\/10) assuming w is positive.\nAnswer: w**(1493\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63, 255, 589, 1077, 1731, 2563?\n\"Answer: 2*v**3 + 59*v**2 + v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8953923, -17907844, -26861765, -35815686, -44769607, -53723528?\n\"Answer: -8953921*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 683 divide 40885746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35868*g**3*v**2 - 6*g**2*v + 2667*g*v**2 wrt g.\nAnswer: 215208*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23838, -27639, -31440, -35241, -39042?\nAnswer: -42843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t = -24*t - 187884. Which is smaller: t or 10439?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 602719 = 602444 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -10*p + 536. Suppose 7*v = 5*v + p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**7\/189 - 46*p**6\/135 + 88*p**5\/15 + 23*p**4\/27 - 529*p**3\/27 - 58*p + 11. What is v in a(v) = 0?\nAnswer: -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g + 26*g + 3*g to v + z*g and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*b**3 + 2*b + 1 + 0*b + 37*b**3 as c + q*b**3 + h*b**2 + v*b and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 169430684 to the power of 1\/2, to the nearest integer?\nAnswer: 13017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 130444232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - -1. Let p = i + -61. Which is the nearest to -0.1? (a) 0 (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 114*h - 504.\nAnswer: 3*(h - 4)*(h + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/783 - 57187\/21924. Calculate the common denominator of -49\/36 and n.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -9*w + 74. Let b be u(6). Let k(r) = -4*r**3 + 20*r**2 + 20. Let v(l) = l**2 + 1. Give b*v(n) - k(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3 - 0. Let p = 50.286 + -0.286. Is p less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -427 + 515. Is v < 89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2\/3, 5, 16\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/32 (b) 2\/7 (c) 4\/5 (d) 1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 869626729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 (base 9) in base 8?\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 0*f**2 + 5*f**2)*(3*f**2 + f**2 - 3*f**2)*(-6*f + 0*f + 5*f).\nAnswer: -f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 5*k**2 - k + 1. Let m be f(-4). Let q = m - 4. Is (10\/q)\/(4\/(-762)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 1, 892\/19, 14 in descending order.\nAnswer: 892\/19, 14, 1, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.5 + -7.8. Let x = l + -0.7. Let r = -9 + x. Which is the nearest to -1? (a) -1\/6 (b) r (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1026 + 2288. Suppose -3*g + l + 266 = -f, 5*f - 1030 = -2*g. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-21)\/(-9) + 116\/(-87)). Solve z*r + r + 5*l + 15 = 0, 15 = -5*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {y: 1, j: 11, n: 3, m: 2, l: 2}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26462865 a multiple of 949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose 9*x + 10 = 2*q + 4*x, -3*q + 3*x + 6 = u. Suppose 2*n - 4*b + 6 = 0, 2*n - 9 = -q*n - b. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 34*f + 14. Let g be i(-3). Let q = g - -131. Is q a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/2124 and 109\/1416.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 9*h + 9. Suppose -50 = -2*k + 2*l, k - h*l = 2*l + 45. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 13*h. Solve 0*y + y = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4816637 is divided by 815.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45755 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 - 4*r**2 + 2*r**2)*(-129*r + 59 - 59) as z*r + v*r**2 + i + c*r**3 and give c.\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2354)\/(-198) - 13) + 13632\/29700*15\/6\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*j - 2*v, -16 = -2*j - 294*v + 289*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -394 + 1216. Suppose 3*q - 478 = 4*b - 2*b, -r = -5*q - 3*b. What is the remainder when q is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10732.15181 - 10732. Let y = -9.449 - -9.6. Let z = y - a. Round z to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*f + 102*f + 707 - 8240 = 0 for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.17 (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6910095 - -73.2.\nAnswer: -6910021.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q**2 + 0*q + 22 + 7\/3*q**3. Let b(g) be the first derivative of g**3\/3 - 1. What is i(b(d))?\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*r*x**3 - 3*r*x - x**3 + 14*x**2 wrt x.\nAnswer: 84*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - 6.39.\nAnswer: -6.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 94\/(-8)*4*1. Let l = 91 + b. Calculate the remainder when l is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-1078))\/((-2*(-35)\/(-70))\/11)?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 25. Suppose 2*d - w = 5. Let a = d + 304. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -516, -1067, -1618, -2169?\nAnswer: -2720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 184730000 to the nearest 1000000.\nAnswer: 185000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -616 + 945. Let m = -328.999918 + k. Round m to six dps.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3680 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 15. Suppose -z - 3*l + t = 0, -l + 90 = -2*z + 4*z. Suppose -n + z = -118. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*u**4 + 9*u**3 + 474*u?\nAnswer: 264*u**2 + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (21 + -35)) + (5 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3103442 * 0.4.\nAnswer: 1241376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -40, -90, -180, -322?\n\"Answer: -2*g**3 - 2*g**2 - 2*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 + -350?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0356 - -42.5956. Let c = -43 - -86. Let x = c - j. Round x to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, b: 8}. What is prob of picking 2 b?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 209\/4?\nAnswer: 209\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 648 and 4336.\nAnswer: 351216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/32 + 9\/((-918)\/(-339)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.9 - 17.791. Let c = m + -0.699. Round c to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(1 + sqrt(27) + sqrt(27) + sqrt(27)) + -3)**2.\nAnswer: 324*sqrt(3) + 2223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/7*i - 6\/7*i**4 + 6\/7*i**2 + 0*i**3 - 3\/7*i**5 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-4 + -2)) + -4 + -1 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.25 - -2.75. Let k = i + -2.6. Are k and 3\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (0 - -2) - 4. Let v(o) = -o**3 - 6*o**2 - 6*o - 2. What is v(w)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7997, 18442, 28887, 39332?\nAnswer: 49777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Let q = -3.01 - -1.04. Let a = -0.03 + q. What is the biggest value in -3, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -2 - 1\/2*x**2 - x + 2\/3*x**3. Determine i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 50 = -15*k - 75. Which is greater: 15 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x. Let y be d(1). Let j be (-2)\/(-2)*-1 - -3. Suppose -j*l + 40 = 3*l. Solve n + y = -5*q, 2*q = 2*n - 0*q - l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33963.\nAnswer: 3, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 13115636?\nAnswer: -13115632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j, 2*l = -2*l + 3*j + 5. Solve -l*o = o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 11:02 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-8*o + 2*o + 3*o) + (o + 0*o - 3*o)*(3 - 5 + 3).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -1871*d**5\/60 + 3*d**2 + 1. Let f(p) = p. Give f(n(s)).\nAnswer: -1871*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 3, g: 1, j: 7, c: 4}. What is prob of picking 1 g and 1 d?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 3*o + 4 = -37*a, -2*o - 5 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30*(969\/(-38))\/(-17)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/120 - f**5\/12 - 5*f**4\/24 - 2*f**3\/3 + f**2. Let h be a(6). Suppose h - 12 = -j. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**2\/2 + 1. Let t be p(-4). Find f, given that -f**2 - t*f - f**2 + 0*f**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 913 = 3*y - 2*z, 0 = 3*z + 3. Let s = y - 154. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 228\/(-3135)*132\/(-8)*-40?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + sqrt(2299).\nAnswer: -5 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 2)*((-3 + d + 3)*(2*d - 3*d - d) + 3*d**2 + d**2 - 3*d**2)*(d**2 - 2*d + 2*d) in the form s + k*d**2 + x*d**3 + l*d + z*d**4 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1716 (base 14) to base 13\nAnswer: -1b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 196, 285, 374, 463?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365187.\nAnswer: 3, 41, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/78 and 56\/195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 197415.\nAnswer: -1579320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**5 + 86*y**4 + 392*y**3 + 448*y**2 - 320*y - 608 = 0.\nAnswer: -38, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a decade in months?\nAnswer: 4140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186 + -183. Which is bigger: 37 or n?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*j = -112, 2*w - 114 = -0*j - 3*j. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-10)\/5)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + 16 + -20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5) + (0 - (-1 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 1, u: 16}. Give prob of sequence gc.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -30. Let c be (2\/(-6))\/(u\/15). Suppose -9*j + 560 = c*j. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 530, 527, 524, 521, 518?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*j - 23, 2*p + 910*j - 947*j - 174 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*q + 549*q + 55*q + 6036 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 182, 503, 1056, 1901, 3098?\n\"Answer: 10*z**3 + 26*z**2 + z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 17469061*z - 11. Let t(i) = -5*i**2. What is q(t(l))?\nAnswer: -87345305*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20303 - -3331?\nAnswer: 30300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000000001 (base 2) to base 12.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 4\/3 (c) 1\/5 (d) -0.3 (e) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d1 - -2?\nAnswer: 4d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 351246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1331*h + 11. Give l(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41515138*y**3 + 5*y**2 + 3015 wrt y?\nAnswer: -249090828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -540432444 divided by -797098\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5 + 55*i**4 - 305*i**3 - 55*i**2 + 300*i = 0 for i.\nAnswer: -15, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3660 + 3674 - (1 + -31).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufhc when four letters picked without replacement from ffuffhffhuic.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 0 + 3 - 3. Let o(j) = -11*j**2. What is t(o(a))?\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6246195 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2094357, 2094373, 2094399, 2094435, 2094481, 2094537?\nAnswer: 2094603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (20 - -4 - 19)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2527 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331319740?\nAnswer: 2, 5, 16565987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17635.25 - 17254. Round w to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2564.303ms to microseconds.\nAnswer: 2564303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 915 and 1215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 4*b**2 + 3*b - 4. Let x be a(-2). Are 4 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2264317 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3514.\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.588773 millennia in years?\nAnswer: 4588.773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.2703 litres in millilitres?\nAnswer: 33270.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010000100001 (base 2) to base 11.\nAnswer: -20377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4936694 and 12663?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 - c**2)*(-3 + 3 + 6*c + (0 - 6 + 3)*(8207 - 8207 - 97*c) + 2*c + 3*c - 3*c).\nAnswer: -299*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 118\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6))**(-6\/7)\/(o**(1\/3)*o*((o\/o**(2\/23))\/o*o*o)\/o*o) assuming o is positive.\nAnswer: o**(916\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 - 48*k - 146. Let g(x) = -31*x**2 - 240*x - 731. Let d(t) = -2*g(t) + 11*n(t). Factor d(h).\nAnswer: -4*(h + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-1 - 1\/(-1)). Let s(k) = 2*k - 561. Let u be s(-9). Let z be ((-1544)\/u)\/((-16)\/(-30)). Solve -z*a = -o*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 578 = -572 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - r + 1. Let f(o) = -2*o**3 - 2*o**2 + o - 3. What is f(m) + 2*t(m)?\nAnswer: -2*m**3 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**5 - 2*v**4 + 171*v**3 - 38*v**2 - 36.\nAnswer: 60*v**2 - 48*v + 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 560 and 12?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -30*(6 - 3)\/3. Let h be ((-4)\/6)\/(4\/o). Solve t = -2*n + 9, -2*n = -h*t + 10 - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.7 bigger than -342027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 19*g**2 - 22*g + 67. Let x be o(18). Which is the closest to 6? (a) 0 (b) x (c) 2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (23\/(-92) + (-14)\/(-40))*6. What is the second biggest value in w, -4, 0.211?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-9)\/(-3)))\/((-260)\/120)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 21. Let b(v) = v**3 + 6*v**2 + 3*v - 3. Calculate b(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 179*w - 7. Let q(b) = 2*b + 5. Let m be q(-2). List the prime factors of j(m).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3 - 9. Suppose g*a + 0*j = j + 11, 5*j = 5*a - 25. Find the third derivative of 4*y**4 + 6*y**4 + y**2 + a*y**4 - 13*y**4 wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 0*h + 0*h**6 - 2\/105*h**7 + 0*h**3 + 0*h**4 + 0 + 17\/60*h**5 - 17*h**2. Find the third derivative of d(f) wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.4169666 months?\nAnswer: 0.11808055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**3 - 23*p + 17 + p**2 + 2 + 16 - 20. What is the units digit of c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 5. Let m(i) = -i + 3. Let d be m(5). Let n = -1 + d. Let o be ((-2)\/n)\/(4\/30). Let u(q) = q + 6. Give o*u(t) + 6*b(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**7\/105 + 383*g**6\/24 + g**5\/60 + 1055*g**3\/3 + g**2 + g - 1659. What is the third derivative of c(k) wrt k?\nAnswer: 48*k + 11490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -413, -3345, -11305, -26807, -52365?\nAnswer: -90493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6971726507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 3, e: 5, q: 1, y: 1, m: 1}. Give prob of picking 1 i and 2 e.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -24*y + 1. Let v be l(-1). Let n = -21 + v. Suppose -5*h + g = -18, -2*g + 5*g + 14 = 5*h. Solve 0*o = -o + 5*u - 9, 0 = -2*o - h*u - n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-5))\/((360\/75)\/12). Let d(j) = j**2 + 2*j + 1. Let u(o) = -o**3 - 2*o**2 - 3*o - 1. Determine w*u(k) + 3*d(k).\nAnswer: -2*k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4911*b**2 + 2806 + 2446*b**2 + 2464*b**2 as k*b**2 + f + h*b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22432*p**3 - 350089*p + 350089*p)*(-2 - 1 + 0) to g*p + a + y*p**3 + x*p**2 and give y.\nAnswer: -67296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let s = 6611 + -6614. Let g(f) = -2 + 3*f + 0 - 10*f - 3*f. Give s*a(b) + g(b).\nAnswer: -7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q + 51. Let l(k) = 1. Let d(z) = 4*l(z) - v(z). Let n be d(17). Solve -5*g - 4 = -4*o + n, -2*g - 14 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10032102 + 121032?\nAnswer: -3311010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = -2*m. Let a be m\/(1562\/521 - 3). Is (-8)\/(4 + -2) - a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w - 4*b + 15, -4*b = 2*w - 34. Suppose -4*o = -3*o - w. Let z = -3550 - -3759. Calculate the highest common factor of z and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -335, -332, -329, -326?\n\"Answer: 3*l - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215 and 946?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.054 (b) 8 (c) 0 (d) -2.82 (e) -5 (f) 2\/7 (g) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 86, 0.5, 5, 2, -3 in descending order.\nAnswer: 86, 5, 2, 0.5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q - 104 = 286 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 3)*(-2*d + 0*d + 3*d) + 44*d + 25*d - 43*d + (-3 + 3 - 2*d)*(-2 + 1 + 3) - 3*d + 3*d + 2*d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239960 - 239944 - (1 + 1 + 145 + 1 + 0).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.23 + -0.13. Which is the third biggest value? (a) 2 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -7*o**2\/2 - 11*o + 16. Let d be s(-7). Calculate the greatest common factor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 2750 = 10706. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -708000 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27168.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325, -652, -977, -1300, -1621?\nAnswer: -1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-25) assuming d is positive.\nAnswer: d**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m + 1. Let u(g) = -5*g**3 - 2*g**2 - 5*g - 2. Let b = -12 - -13. Let a(s) = b*u(s) + 2*j(s). What is the second derivative of a(n) wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*o + 4*o = 17, -3*o - 33 = -3*y. Calculate the least common multiple of 67 and y.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1151 + 16105. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29721 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*((sqrt(2) + -1)*3 - sqrt(2) - sqrt(2)).\nAnswer: -3*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.1542 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:01 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k - l - 1, l + 7 = 4*k. Let u be (19969 + 7)*k\/(-2). Does 18 divide u\/(-143) - 2\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 2, i: 1, d: 1}. Give prob of picking 2 x and 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -325 or -323?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3, -0.02, 4, -8, -0.83, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170.1 - -170.4. What is the second biggest value in 2\/5, -3, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3*2\/(-3))\/(-1). Suppose -p*j + 35 = x, -x + 3*j + 201 = 4*x. Suppose -3 = y - x. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*h + 140, h + 132 = -3*v - 58. Let x = v - -67. Suppose -133 + 13 = -x*q. What is the greatest common factor of 16 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 121*f - 134. Let z(m) = -m**3 + 12*m**2 - 12*m + 13. Let u be z(11). Let s(p) = 121*p - 135. Let d(g) = u*q(g) - 3*s(g). Differentiate d(t) wrt t.\nAnswer: -121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -69. Suppose f + 22 = m. Suppose f*y + 238 = 3906. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c13929 + 3?\nAnswer: c1392c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2052 and 12?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 82 + 32 = 0. Calculate the remainder when 242 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**2 + 2*n - 23. Let m(g) = -5*g**2 - g + 15. Let f be ((-17)\/(-7) - (73 + -76)) + (-3)\/7. Give f*z(o) + 8*m(o).\nAnswer: -5*o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 40, 82, 138, 208?\n\"Answer: 7*l**2 + 7*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 2*l. Let r(x) = -15*x**2 + x + 4. Give -r(z) + t(z).\nAnswer: 16*z**2 + z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:53 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + -66. Suppose 0 = -6*r - w + 28. Suppose 436 = 5*n - 2*h, r*n + 74 = 5*n + 4*h. List the prime factors of n.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2. Let l = -20 + 28. Suppose 10*r - 107 = 23. Let v(y) = -10*y + 27*y - r*y - l*y. Give z(v(p)).\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.957787 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - -4) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 40*t + 827. Let w be r(-55). Solve -49*y + w*y = -47 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5 + 8 - 20 - 2*f. Let h be c(-13). Solve -2*s - 5*y + 3 = 0, 0*y = 5*s + y - h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14735440?\nAnswer: 2, 5, 47, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1376 + 7472.\nAnswer: 6096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4 - 338*y**3 + 166*y**3 + 3 + 173*y**3. Let f be ((-6)\/1)\/(4\/(-4)). Let o = f + -6. What is w(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-21))\/((-3)\/(-72)). Which is the closest to m? (a) -1\/3 (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = 7. Let g = -51 + 53. Put k, g, -1 in descending order.\nAnswer: g, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476 = -36*m - 1592 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.66955111 - -6446.79674889. Let c = w - 6448. Let a = c + 0.53. What is a rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.0228 and -0.12?\nAnswer: 3.9028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 378317 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/17 - 44*g**3\/17 + 184*g**2\/17 - 244*g\/17 + 6 = 0.\nAnswer: 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1768*8380\nAnswer: -14815840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 87*i**2 + 3*i + 175. Let f(t) = t**2 + 2*t. Let m(a) = 2*f(a) - k(a). What is the derivative of m(c) wrt c?\nAnswer: -170*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90970 and 4070.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541 divided by -541.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1426 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m**2 - m + 205. Let t = -122 + 122. Is n(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**3 - 2*b**3 - 7*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 89, 4, 2 in increasing order.\nAnswer: 2, 3, 4, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360 - 21908*f**3 - 360.\nAnswer: -21908*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -45. What is the second smallest value in 1\/3, l, -2\/9, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**2 + a - 212. Let q(w) = -28*w**2. What is x(q(m))?\nAnswer: -3920*m**4 - 28*m**2 - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(-4*(2 + (5 + sqrt(539)*4 - sqrt(539)) + -5) + 3)**2.\nAnswer: 1680*sqrt(11) + 155282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 213*u**2 + 1911*u - 14. Let i(l) = 143*l**2 + 1274*l - 10. Let p(c) = 7*i(c) - 5*o(c). Find the second derivative of p(a) wrt a.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6. Suppose m = -2*p - 2*p - 20. What is the third biggest value in 1\/8, p, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 2*a + 4*f, 4*a + 4*f - 200 = 240. Suppose 3*x - 17*p = -15*p + a, -2*p = -4*x + 154. What is the remainder when x is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 5*m**2 + 3*m**2)*(-2*m - m + 2*m) + (0 + 2*m + 0)*(13*m**2 - m**2 + 4*m**2).\nAnswer: 34*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399900 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 2*o**2 + 2*o - 1. Let m be a(1). Solve -c + m = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-131)*(-2)\/(-4). Let g = i + -253\/1179. Let t = -1.1 + 0.1. Which is the biggest value? (a) t (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*o**4 - 465*o**3 + 36*o**2.\nAnswer: -3*o**2*(o + 12)*(13*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (-5434)\/132 - 122\/84\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334778.\nAnswer: 2, 3, 269, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + -16 + 7 - (-1209)\/162 and -131\/144?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2*t**3 - 2*g**2*t**2 + 2*g**2 - 20*g*t**3 + 2*g*t**2 - 16*t**3 - 23*t**2 wrt t?\nAnswer: -6*g**2 - 120*g - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2320566.253 - 2321678. Let c = 1111 + h. Let o = c + -0.023. What is o rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(2\/5))*d*(d\/((d\/(d*d\/(d\/d**(-2)*d*d)*d))\/d))\/d*(d*d*d**1*d)**30)**(17\/3))**(-5\/7) assuming d is positive.\nAnswer: d**(-10081\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 896 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(540)\/sqrt(9))\/((5*sqrt(108) + sqrt(108))\/sqrt(9) + sqrt(12))*5)**2.\nAnswer: -750\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3743388 divided by 3?\nAnswer: -1247796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9378139 to the nearest 100000.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 4441212.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1792 = -33*d + 340. What is the common denominator of 1 + -1 - 192\/d and 50\/57?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15022 - 13958. What is the remainder when 3217 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 4. Let m(k) = k**2 + 5. Let n(y) = -3*m(y) - 4*z(y). Let i be n(3). Suppose 5*d - i = 2*c - 3*c, 2*c = 0. Are 6 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (85\/(-4))\/(-2*(-2)\/16). Let l = 90 + g. Solve l*j - 40 = -15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:17 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + u - 4. Calculate m(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 5*a - 4. Let w be u(-3). Let t = w + 131. Suppose 5*v - t = 81. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792) - sqrt(22))*4 + sqrt(22))\/sqrt(11).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from zhezuhuznhenzhue?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbllbpbbblbbbdb. Give prob of picking 1 d, 1 l, and 2 b.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -16*d + 57. Put -732, d, 4 in descending order.\nAnswer: 4, d, -732","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6039*v. Let b(p) = -22*p - 1. Give b(y(i)).\nAnswer: -132858*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 4*h**3 + 2*h**2 + (2*h**3 + h - h)*(-19 - 21 + 6) in the form j + g*h**2 + r*h**3 + w*h and give r.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 327 + -1957\/6. Suppose 0 = -5*g + 6 + 4. Is g < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2444 and 1316?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -114164 (base 7) in base 11?\nAnswer: -14596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(-3\/10)*j)\/j)*j*j**(1\/21)*(j**(-3\/2))**(1\/5))**(-2\/25) assuming j is positive.\nAnswer: j**(-86\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((3 + 1)\/(-1716))\/((-296)\/(-24) + -9). Is c smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 6:25 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j. Let b be (-3)\/(-2)*(-156)\/9. Let c = 30 + b. Let a(x) = 3*x + c*x - x - 3*x. Give r(a(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = 3*k + 144. What are the prime factors of (-6)\/(-5)*(-4480)\/k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3374052 (base 8) in base 3?\nAnswer: -1201111211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, m: 5, h: 11}. Give prob of sequence hhhm.\nAnswer: 165\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**2*s - n**2 + 30109*n*s + n + 18*s - 299022 wrt s?\nAnswer: -n**2 + 30109*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/5 - 438*y**4\/5 - 1726*y**3\/5 - 1282*y**2\/5 + 1728*y\/5 + 344 = 0 for y.\nAnswer: -215, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*c - 6*p + 14*p, 3*c - 15 = 2*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**43*p)\/p*p)\/p)**8 assuming p is positive.\nAnswer: p**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + i = 2, 4*i - 3 - 10 = -3*h. Let d be 16 + h\/(-1) + 1. Solve 0 = -3*l - 5*r - 6, -5*r + 3 = d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21)\/((-405)\/(-1701))*5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d + 3*d)*(-1244*d**4 + 7*d**2 - 1252*d**4 + 2585*d**4).\nAnswer: 178*d**5 + 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*12*7\/28*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -2*n**2 - n + 9. What is c(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*u = -0*k - 15, -3*k = -2*u - 20. Let t be -8 - (-1)\/(1\/k). Solve -24 = 2*w - 5*s, -2*s - t = -2*w + 7*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -638.\nAnswer: 45\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(1*sqrt(425))**2.\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101 or -1127\/11?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**9)\/(u*((u*u**27)\/u)\/u)*(u**11)**47 assuming u is positive.\nAnswer: u**500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 20 = 4*h. Let b(m) = -9*m - 151. Let w be b(-17). Suppose 0*r**w - 1\/6*r + 0*r**h + 0 + 1\/3*r**3 - 1\/6*r**5 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/156 + 4\/(-26). Solve -5*j - 7 + 2 = u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18236 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-165)*1\/6*3\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1106 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/6 - 30770*d**3 + 4259552519*d**2\/3 + 31247888870*d + 1031303211961\/6 = 0 for d.\nAnswer: -11, 92321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 26*z - 11*z + 2*z - 8*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 3 = 0, -2*u + 34 - 24 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730172990.\nAnswer: 2, 5, 73017299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g + 44. Let v be i(13). Let u = v - -211. Calculate the least common multiple of 40 and u.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/1452*-12*(-2)\/(-15).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + z + 4*z)*(-2*z - z + 2*z) - 3*z**2 + 7*z**2 - 7*z**2 + 378*z**2 - 397*z**2 + 320*z**2 to the form n*z**2 + g + c*z and give n.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*(-5)\/(5 - 25))\/(0 - -1). Let q(u) be the second derivative of 5\/24*u**4 + 0 - 1\/2*u**3 + 22*u + w*u**2. Factor q(l).\nAnswer: (l - 1)*(5*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 233181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 343668 and -189.094.\nAnswer: 343478.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1357426 and 387836.\nAnswer: 2714852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146.6909nm to millimeters.\nAnswer: 0.0001466909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67, -257, -447, -637, -827?\n\"Answer: -190*i + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 2*l + 2. Let p(t) = -t**2 + 1. Let n(b) = -g(b) + 4*p(b). Let k = 5 - 0. Suppose k*i + 0*w = 2*w + 30, 0 = 5*i + 4*w. What is n(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*l**4 - 12*l**4 + 7*l**4 + 40*l**4 + 127 wrt l?\nAnswer: 112*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*r - 2*b - 2, -5*b + 20 = 0. Suppose 2*p + 12 = 2*h, -3*h - 2 = -h + r*p. Let j(m) = h*m - 3*m - 3*m. Let s(u) = 7*u**2. Calculate j(s(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13703*l + 6779*l + 13054 = -6801*l + 754 for l.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 325 and 104.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -84*b - 21. Let y(o) = 420*o + 108. What is 26*d(k) + 5*y(k)?\nAnswer: -84*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2, -4\/7, 1\/2, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, t: 1, l: 4, d: 2, s: 2, v: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -2) + 6\/(-2). Let o(l) be the first derivative of l**3\/3 - l**2\/2 - l - 32. Let s(m) = 2*m**2 - 4*m - 4. Give g*s(a) + 4*o(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 33*o**2 + 2*o. Is t(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 655\/182 - 49\/26. Find a, given that n + 8\/7*a - 4\/7*a**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*z + 2418 + 85134. Calculate the greatest common factor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 7*c = 9 + 3 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 5*v**2 + 4*v - 1. Let y be m(4). Let b be y*3 - (-66)\/24. What is the third smallest value in b, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + 0.22. Let b = v - -0.03. Let k = b + -0.2000001. What is k rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 51 = 4*d, d + 52 = 3*y + 10. Suppose -y = s + 3. Let z = s - -20. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*f - 26 = -4*h, 4*f = -5*h - 5. Solve -2*y + 2 = -n + h, 2*y + 4 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-24) - 1\/((-6)\/4). Let a(v) be the first derivative of -1\/2*v**2 + 1 + s*v. Let t(x) = -5*x. Determine t(a(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 29 = 5*z - 5*x, -2*x - 30 = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85519 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -8. Suppose w*v = 1 + 7. Let o(z) = -z**2 - 10*z - 12. Let c be o(-8). Solve 0 = 2*k - 6, -1 - 7 = v*x - c*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (208\/(-56))\/(46\/6279*13)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 119, 195, 257, 299, 315, 299, 245, 147?\n\"Answer: -f**3 - f**2 + 86*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6618 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 1. Let i be r(1). Let b = 4 - i. Suppose 30 = 3*l + 3*k, -b*l + 5*k = -0*l - 58. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -20.91, 1, 0.3, 8, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:11 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12485344?\nAnswer: 2, 17, 59, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 6*b**2 - 5*b - 28. Suppose 57*i = 61*i + 24. Let f be c(i). Put f, -5, 5, 0 in decreasing order.\nAnswer: 5, f, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1482 (base 10) to base 5\nAnswer: -21412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*2*14\/(-28). Is b at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 317104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}